%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET760+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 02:48:13 PM UTC 2026
% Result : Theorem 91.58s 19.52s
% Output : CNFRefutation 100.29s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
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(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
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)
& surjective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa10) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X3,X2)
& surjective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(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] :
( surjective(X0,X1,X2)
=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f33,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( subset(X3,X2)
& surjective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( subset(X3,X2)
& surjective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ surjective(X0,X1,X2)
| ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f43,plain,
( subset(sK3,sK2)
& surjective(sK0,sK1,sK2)
& maps(sK0,sK1,sK2)
& ~ equal_set(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)],[f36]) ).
fof(f44,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f45,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,[],[f44]) ).
fof(f46,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))],[f45]) ).
fof(f47,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))],[f41]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ surjective(X0,X1,X2)
| ! [X3] :
( ~ member(X3,X2)
| ( apply(X0,sK6(X0,X1,X3),X3)
& member(sK6(X0,X1,X3),X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X1,X3))],[f42]) ).
fof(f49,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(f50,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,[],[f49]) ).
fof(f51,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,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( apply(X0,sK7(X0,X1,X3),X3)
& member(sK7(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(X0,X1,X3))],[f51]) ).
fof(f53,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(f54,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,[],[f53]) ).
fof(f55,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,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( apply(X0,X3,sK8(X0,X1,X3))
& member(sK8(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,[sK8]),skolemize(X5,sK8(X0,X1,X3))],[f55]) ).
fof(f57,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f58,plain,
surjective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f59,plain,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f60,plain,
~ equal_set(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),
inference(cnf_transformation,[],[f43]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f63,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,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,[],[f47]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK5(X0,X2,X3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK5(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK7(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f73,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,[],[f52]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK8(X0,X1,X3)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK8(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f77,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,[],[f56]) ).
tcf(c_49,negated_conjecture,
~ equal_set(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),
inference(cnf_transformation,[],[f60]) ).
tcf(c_50,negated_conjecture,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f59]) ).
tcf(c_51,negated_conjecture,
surjective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f58]) ).
tcf(c_52,negated_conjecture,
subset(sK3,sK2),
inference(cnf_transformation,[],[f57]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,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,[],[f67]) ).
tcf(c_58,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,[],[f66]) ).
tcf(c_59,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,[],[f65]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,X3),X1)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,X3),X3)
| ~ member(X3,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_62,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,[],[f73]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,X0),X2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,X0),X0)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_66,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,[],[f77]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,X0),X2)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,X0,sK8(X1,X2,X0))
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| ( X1 != sK3 )
| ( image3(sK0,inverse_image3(sK0,sK3,sK1),sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_56]) ).
tcf(c_300,plain,
( ~ subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))
| ~ subset(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ),
inference(unflattening,[status(thm)],[c_299]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,X3),X3)
| ~ member(X3,X2)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_61]) ).
tcf(c_310,plain,
! [X0: $i] :
( apply(sK0,sK6(sK0,sK1,X0),X0)
| ~ member(X0,sK2) ),
inference(unflattening,[status(thm)],[c_309]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,X3),X1)
| ~ member(X3,X2)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_60]) ).
tcf(c_319,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK1)
| ~ member(X0,sK2) ),
inference(unflattening,[status(thm)],[c_318]) ).
tcf(c_331,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_59]) ).
tcf(c_332,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_331]) ).
tcf(c_352,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_58]) ).
tcf(c_353,plain,
! [X0: $i] :
( apply(sK0,X0,sK5(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_352]) ).
tcf(c_361,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_57]) ).
tcf(c_362,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_361]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_310,c_332]) ).
tcf(c_911,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_353,c_332]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_910,c_319,c_910]) ).
tcf(c_934,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_353,c_923]) ).
tcf(c_948,plain,
! [X0: $i] : subset(X0,X0),
inference(superposition,[status(thm)],[c_54,c_53]) ).
tcf(c_954,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_54,c_63]) ).
tcf(c_962,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_54,c_67]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X1),X0)
| ~ member(X1,sK2)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_319,c_55]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_362,c_55]) ).
tcf(c_993,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_972,c_55]) ).
tcf(c_994,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_972,c_63]) ).
tcf(c_995,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_972,c_67]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_54,c_64]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_64]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_54,c_68]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK8(X1,X2,sK4(X0,X4)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_68]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ~ member(X2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_973,c_55]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK6(sK0,sK1,X3)),X1)
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_64]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_63]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK6(sK0,sK1,X3)),X1)
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_68]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_67]) ).
tcf(c_1067,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_974,c_55]) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK5(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_974,c_64]) ).
tcf(c_1069,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_974,c_63]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK5(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_974,c_68]) ).
tcf(c_1071,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_974,c_67]) ).
tcf(c_1092,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_911,c_362,c_911]) ).
tcf(c_1103,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_310,c_1092]) ).
tcf(c_1111,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = X0 )
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_1103,c_319,c_1103]) ).
tcf(c_1118,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_54,c_1111]) ).
tcf(c_1119,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_362,c_1111]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_1111]) ).
tcf(c_1121,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1111]) ).
tcf(c_1122,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_1111]) ).
tcf(c_1139,plain,
( subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))
| member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1140,plain,
( subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1147,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_54,c_1119]) ).
tcf(c_1148,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_1119]) ).
tcf(c_1149,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_972,c_1119]) ).
tcf(c_1150,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1119]) ).
tcf(c_1151,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_974,c_1119]) ).
tcf(c_1166,plain,
! [X0: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ~ subset(sK3,X0)
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_1178,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_54,c_1148]) ).
tcf(c_1179,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_362,c_1148]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_1148]) ).
tcf(c_1181,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1148]) ).
tcf(c_1182,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))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_1148]) ).
tcf(c_1203,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_54,c_1179]) ).
tcf(c_1204,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_1179]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_1179]) ).
tcf(c_1206,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1179]) ).
tcf(c_1207,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_1179]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(X0,sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_54,c_65]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK7(X1,X2,sK4(X0,X4)),sK4(X0,X4))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_65]) ).
tcf(c_1246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK6(sK0,sK1,X3)),sK6(sK0,sK1,X3))
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_65]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK5(sK0,sK2,X3)),sK5(sK0,sK2,X3))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_974,c_65]) ).
tcf(c_1266,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),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_54,c_69]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK4(X0,X4),sK8(X1,X2,sK4(X0,X4)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_69]) ).
tcf(c_1268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(sK0,sK1,X3),sK8(X0,X1,sK6(sK0,sK1,X3)))
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_973,c_69]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK5(sK0,sK2,X3),sK8(X0,X1,sK5(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_974,c_69]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,X1,X2))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_310,c_62]) ).
tcf(c_1299,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_353,c_62]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),inverse_image3(sK0,X2,X1))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_310,c_66]) ).
tcf(c_1319,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_353,c_66]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_954,c_53]) ).
tcf(c_1377,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_954,c_55]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(X0,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK4(image3(X2,X3,image3(X0,X1,X4)),X5)) ),
inference(superposition,[status(thm)],[c_954,c_65]) ).
tcf(c_1379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_954,c_64]) ).
tcf(c_1380,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_954,c_63]) ).
tcf(c_1381,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),sK8(X0,X3,sK4(image3(X1,X2,inverse_image3(X0,X3,X4)),X5))) ),
inference(superposition,[status(thm)],[c_954,c_69]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_954,c_68]) ).
tcf(c_1383,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_954,c_67]) ).
tcf(c_1384,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_954,c_1148]) ).
tcf(c_1385,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_954,c_1111]) ).
tcf(c_1386,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_954,c_1179]) ).
tcf(c_1387,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_954,c_1119]) ).
tcf(c_1464,plain,
! [X0: $i,X1: $i,X2: $i] : subset(inverse_image3(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_962,c_53]) ).
tcf(c_1465,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_962,c_55]) ).
tcf(c_1466,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,sK7(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_962,c_65]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_962,c_64]) ).
tcf(c_1468,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_962,c_63]) ).
tcf(c_1469,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),sK8(X0,X3,sK4(inverse_image3(X1,X2,inverse_image3(X0,X3,X4)),X5))) ),
inference(superposition,[status(thm)],[c_962,c_69]) ).
tcf(c_1470,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(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_962,c_68]) ).
tcf(c_1471,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_962,c_67]) ).
tcf(c_1472,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_962,c_1148]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_962,c_1111]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_962,c_1179]) ).
tcf(c_1475,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_962,c_1119]) ).
tcf(c_1520,plain,
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2)
| ~ subset(sK3,sK2)
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK3) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_1575,plain,
! [X0: $i,X1: $i] :
( member(X0,image3(sK0,sK1,X1))
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_319,c_1298]) ).
tcf(c_1576,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,X2,X1))
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_973,c_1298]) ).
tcf(c_1592,plain,
! [X0: $i,X1: $i] :
( subset(X0,image3(sK0,sK1,X1))
| ~ member(sK4(X0,image3(sK0,sK1,X1)),sK2)
| ~ member(sK4(X0,image3(sK0,sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_1575,c_53]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK2)
| ~ member(X2,X0)
| ~ subset(image3(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1575,c_55]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_65]) ).
tcf(c_1595,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_64]) ).
tcf(c_1597,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,image3(sK0,sK1,X1),X2))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1575,c_1298]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,sK2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_362,c_1319]) ).
tcf(c_1639,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_974,c_1319]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,image3(sK0,sK1,X1),X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1575,c_1319]) ).
tcf(c_1664,plain,
( apply(sK0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_1665,plain,
( member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_1676,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_1638,c_53]) ).
tcf(c_1677,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_1638,c_55]) ).
tcf(c_1678,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK8(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_69]) ).
tcf(c_1679,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,X0),sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_68]) ).
tcf(c_1681,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,inverse_image3(sK0,sK2,X1),X2))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1638,c_1298]) ).
tcf(c_1682,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_1638,c_1319]) ).
tcf(c_1739,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_1299,c_55]) ).
tcf(c_1740,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(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_1299,c_65]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK5(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_64]) ).
tcf(c_1743,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_1299,c_1319]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ member(X3,sK2)
| ~ member(X3,X0)
| ~ member(sK6(sK0,sK1,X3),X1)
| ~ subset(inverse_image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1318,c_55]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_69]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK6(sK0,sK1,X0)),X2)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_68]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,image3(sK0,inverse_image3(sK0,X2,X1),X3))
| ~ member(X0,sK2)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_1298]) ).
tcf(c_1825,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) ) ),
inference(superposition,[status(thm)],[c_54,c_1204]) ).
tcf(c_1826,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_1204]) ).
tcf(c_1827,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_954,c_1204]) ).
tcf(c_1828,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_962,c_1204]) ).
tcf(c_1829,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_1204]) ).
tcf(c_1830,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1204]) ).
tcf(c_1831,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_1204]) ).
tcf(c_1867,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) ) ),
inference(superposition,[status(thm)],[c_54,c_1826]) ).
tcf(c_1868,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_1826]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_954,c_1826]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_962,c_1826]) ).
tcf(c_1871,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_1826]) ).
tcf(c_1872,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_1826]) ).
tcf(c_1873,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_1826]) ).
tcf(c_1911,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_52,c_1120]) ).
tcf(c_1913,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_1118,c_1120]) ).
tcf(c_1946,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_1595]) ).
tcf(c_1947,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_319,c_1595]) ).
tcf(c_1948,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_1595]) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,X2),X3)),sK1)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_1595]) ).
tcf(c_1950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK4(inverse_image3(X0,X1,X2),X3)),sK1)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_1595]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_1595]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_1595]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_1595]) ).
tcf(c_1954,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_1595]) ).
tcf(c_1955,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_1595]) ).
tcf(c_1957,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_1595]) ).
tcf(c_2039,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_54,c_1679]) ).
tcf(c_2040,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_319,c_1679]) ).
tcf(c_2041,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_362,c_1679]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK4(image3(X0,X1,X2),X3)),sK2)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_954,c_1679]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)),sK2)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_962,c_1679]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_972,c_1679]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_973,c_1679]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_974,c_1679]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(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_1299,c_1679]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_1679]) ).
tcf(c_2049,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,X0),sK2)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_1679]) ).
tcf(c_2145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_994]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK3)
| ~ subset(sK3,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_995]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK4(X0,X1))
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_1594]) ).
tcf(c_2186,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_319,c_1594]) ).
tcf(c_2187,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_1594]) ).
tcf(c_2188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_1594]) ).
tcf(c_2189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_1594]) ).
tcf(c_2190,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_1594]) ).
tcf(c_2191,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_1594]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_1594]) ).
tcf(c_2193,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_1594]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_1594]) ).
tcf(c_2196,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_1594]) ).
tcf(c_2269,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,sK2,sK4(X0,X1)))
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_54,c_1678]) ).
tcf(c_2270,plain,
! [X0: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_319,c_1678]) ).
tcf(c_2271,plain,
! [X0: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_362,c_1678]) ).
tcf(c_2272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK4(image3(X0,X1,X2),X3),sK8(sK0,sK2,sK4(image3(X0,X1,X2),X3)))
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_954,c_1678]) ).
tcf(c_2273,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),sK8(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_962,c_1678]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_972,c_1678]) ).
tcf(c_2275,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_973,c_1678]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_974,c_1678]) ).
tcf(c_2277,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(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_1299,c_1678]) ).
tcf(c_2278,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_1678]) ).
tcf(c_2279,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK8(sK0,sK2,X0))
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_1678]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_52,c_993]) ).
tcf(c_2379,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK2,X2)
| member(sK4(sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_993]) ).
tcf(c_2396,plain,
! [X0: $i] :
( subset(sK3,X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_2377,c_53]) ).
tcf(c_2397,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_2377,c_55]) ).
tcf(c_2398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2377,c_65]) ).
tcf(c_2399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2377,c_64]) ).
tcf(c_2400,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_2377,c_63]) ).
tcf(c_2401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2377,c_69]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2377,c_68]) ).
tcf(c_2403,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_2377,c_67]) ).
tcf(c_2404,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_2377,c_1204]) ).
tcf(c_2405,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_2377,c_1148]) ).
tcf(c_2407,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_1826]) ).
tcf(c_2408,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_1179]) ).
tcf(c_2409,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_2377,c_1119]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2377,c_1678]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_1594]) ).
tcf(c_2412,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2377,c_1679]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_1595]) ).
tcf(c_2457,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2405,c_948]) ).
tcf(c_2463,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2404,c_948]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1911,c_993]) ).
tcf(c_2542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_994]) ).
tcf(c_2543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_995]) ).
tcf(c_2544,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_1911,c_1120]) ).
tcf(c_2566,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_1118,c_2396]) ).
tcf(c_2576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2400]) ).
tcf(c_2587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2403]) ).
tcf(c_2600,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_52,c_2397]) ).
tcf(c_2602,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_2397]) ).
tcf(c_2603,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_2397]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2602,c_948]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_2600,c_55]) ).
tcf(c_2650,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2600,c_1678]) ).
tcf(c_2651,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2600,c_1594]) ).
tcf(c_2652,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2600,c_1679]) ).
tcf(c_2653,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2600,c_1595]) ).
tcf(c_2686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2399]) ).
tcf(c_2695,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_2397]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK4(sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_993]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_994]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_995]) ).
tcf(c_2699,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) = sK4(sK1,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))) = sK5(sK0,sK2,sK4(sK1,sK2)) ) ),
inference(superposition,[status(thm)],[c_1147,c_1120]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X0,X3),X4)
| member(sK7(X2,X0,sK4(image3(X2,X0,X3),X4)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1010,c_55]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| apply(X0,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))),sK7(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_1010,c_65]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| member(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_1010,c_64]) ).
tcf(c_2760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,image3(X1,X2,X3),X4),X5)
| member(sK7(X0,image3(X1,X2,X3),sK4(image3(X0,image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_1010,c_63]) ).
tcf(c_2761,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,sK7(X1,inverse_image3(X0,X2,X3),sK4(image3(X1,inverse_image3(X0,X2,X3),X4),X5)),sK8(X0,X2,sK7(X1,inverse_image3(X0,X2,X3),sK4(image3(X1,inverse_image3(X0,X2,X3),X4),X5)))) ),
inference(superposition,[status(thm)],[c_1010,c_69]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,inverse_image3(X0,X1,X3),X4),X5)
| member(sK8(X0,X1,sK7(X2,inverse_image3(X0,X1,X3),sK4(image3(X2,inverse_image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_1010,c_68]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,inverse_image3(X1,X2,X3),X4),X5)
| member(sK7(X0,inverse_image3(X1,X2,X3),sK4(image3(X0,inverse_image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_1010,c_67]) ).
tcf(c_2764,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_1204]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1010,c_1148]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) = sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1010,c_1111]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_1826]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_1179]) ).
tcf(c_2769,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1010,c_1119]) ).
tcf(c_2770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_1678]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_1594]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_1679]) ).
tcf(c_2773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK1)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_1595]) ).
tcf(c_2875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X0,X3),X4)
| member(sK8(X2,X0,sK4(inverse_image3(X2,X0,X3),X4)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1022,c_55]) ).
tcf(c_2876,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,sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))),sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_1022,c_65]) ).
tcf(c_2877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,image3(X0,X1,X3),X4),X5)
| member(sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_1022,c_64]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,image3(X1,X2,X3),X4),X5)
| member(sK8(X0,image3(X1,X2,X3),sK4(inverse_image3(X0,image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_1022,c_63]) ).
tcf(c_2879,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,sK8(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X1,inverse_image3(X0,X2,X3),X4),X5)),sK8(X0,X2,sK8(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X1,inverse_image3(X0,X2,X3),X4),X5)))) ),
inference(superposition,[status(thm)],[c_1022,c_69]) ).
tcf(c_2880,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(sK8(X0,X1,sK8(X2,inverse_image3(X0,X1,X3),sK4(inverse_image3(X2,inverse_image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_1022,c_68]) ).
tcf(c_2881,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(sK8(X0,inverse_image3(X1,X2,X3),sK4(inverse_image3(X0,inverse_image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_1022,c_67]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_1204]) ).
tcf(c_2883,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1022,c_1148]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) = sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1022,c_1111]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_1826]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_1179]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1022,c_1119]) ).
tcf(c_2888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_1678]) ).
tcf(c_2889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_1594]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK2)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_1679]) ).
tcf(c_2891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK1)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_1595]) ).
tcf(c_3000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_1038]) ).
tcf(c_3011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_1040]) ).
tcf(c_3022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_1069]) ).
tcf(c_3033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_1071]) ).
tcf(c_3044,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),X2)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_55]) ).
tcf(c_3045,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_1826]) ).
tcf(c_3046,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_1179]) ).
tcf(c_3047,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_1119]) ).
tcf(c_3048,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1946,c_1678]) ).
tcf(c_3049,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_1594]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1946,c_1679]) ).
tcf(c_3051,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))),sK1)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_1595]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_55]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_1204]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_1148]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_1111]) ).
tcf(c_3102,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK8(sK0,sK2,sK4(X0,X1)),sK8(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_1678]) ).
tcf(c_3103,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_1594]) ).
tcf(c_3104,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_1679]) ).
tcf(c_3105,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))),sK1)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_1595]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2402]) ).
tcf(c_3189,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_55]) ).
tcf(c_3190,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_1826]) ).
tcf(c_3191,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_1179]) ).
tcf(c_3192,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_1119]) ).
tcf(c_3193,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1947,c_1678]) ).
tcf(c_3194,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_1594]) ).
tcf(c_3195,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1947,c_1679]) ).
tcf(c_3196,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_1595]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(X0,X2,sK1))
| ~ member(X1,X2)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(X0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_3258,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_1948,c_362,c_1948]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X0)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_3258,c_55]) ).
tcf(c_3266,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_1826]) ).
tcf(c_3267,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_1179]) ).
tcf(c_3268,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_1119]) ).
tcf(c_3269,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3258,c_1678]) ).
tcf(c_3270,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_1594]) ).
tcf(c_3271,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3258,c_1679]) ).
tcf(c_3272,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_1595]) ).
tcf(c_3320,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_2040,c_319,c_2040]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X1)),X0)
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_3320,c_55]) ).
tcf(c_3328,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_1204]) ).
tcf(c_3329,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_1148]) ).
tcf(c_3330,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_1111]) ).
tcf(c_3331,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3320,c_1678]) ).
tcf(c_3332,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_1594]) ).
tcf(c_3333,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3320,c_1679]) ).
tcf(c_3334,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK1)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_1595]) ).
tcf(c_3490,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_55]) ).
tcf(c_3491,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_1204]) ).
tcf(c_3492,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_1148]) ).
tcf(c_3493,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_1111]) ).
tcf(c_3494,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK8(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_1678]) ).
tcf(c_3495,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_1594]) ).
tcf(c_3496,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_1679]) ).
tcf(c_3497,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_1595]) ).
tcf(c_3559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2398]) ).
tcf(c_3570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_2401]) ).
tcf(c_3582,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK1)))) = sK5(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_1147,c_1149]) ).
tcf(c_3583,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) = sK5(sK0,sK2,sK4(sK2,X0)) ) ),
inference(superposition,[status(thm)],[c_1118,c_1149]) ).
tcf(c_3584,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_1911,c_1149]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X1)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3265,c_55]) ).
tcf(c_3605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),sK7(sK0,sK1,sK5(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_65]) ).
tcf(c_3606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_64]) ).
tcf(c_3607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_63]) ).
tcf(c_3608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK1,sK5(sK0,sK2,X3)),sK8(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_69]) ).
tcf(c_3609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_68]) ).
tcf(c_3610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3265,c_67]) ).
tcf(c_3611,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1204]) ).
tcf(c_3612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1148]) ).
tcf(c_3613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1111]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1826]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1179]) ).
tcf(c_3616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1119]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1678]) ).
tcf(c_3618,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_1594]) ).
tcf(c_3619,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_1679]) ).
tcf(c_3620,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_1595]) ).
tcf(c_3710,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X1)
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3327,c_55]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X3))),sK8(sK0,sK2,sK6(sK0,sK1,X3)))
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_65]) ).
tcf(c_3712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_64]) ).
tcf(c_3713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_63]) ).
tcf(c_3714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(sK0,sK2,sK6(sK0,sK1,X3)),sK8(X0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X3))))
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_69]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_68]) ).
tcf(c_3716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3327,c_67]) ).
tcf(c_3717,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1204]) ).
tcf(c_3718,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1148]) ).
tcf(c_3719,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1111]) ).
tcf(c_3720,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1826]) ).
tcf(c_3721,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1179]) ).
tcf(c_3722,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1119]) ).
tcf(c_3723,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3327,c_1678]) ).
tcf(c_3724,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1594]) ).
tcf(c_3725,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3327,c_1679]) ).
tcf(c_3726,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK1)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_1595]) ).
tcf(c_3826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1011]) ).
tcf(c_3827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK7(X0,X1,sK4(sK2,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_1011]) ).
tcf(c_3828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_1011]) ).
tcf(c_3850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK8(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1023]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK8(X0,X1,sK4(sK2,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_1023]) ).
tcf(c_3852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_1023]) ).
tcf(c_3891,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2566,c_993]) ).
tcf(c_3896,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_2566,c_1120]) ).
tcf(c_3897,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_2566,c_1149]) ).
tcf(c_3918,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_1036]) ).
tcf(c_3920,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_1036]) ).
tcf(c_3921,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_1036]) ).
tcf(c_3922,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_2566,c_1036]) ).
tcf(c_3923,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1911,c_1036]) ).
tcf(c_3941,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3920,c_948]) ).
tcf(c_3995,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X1),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_3918,c_55]) ).
tcf(c_3996,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_1204]) ).
tcf(c_3997,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_1148]) ).
tcf(c_3998,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_1111]) ).
tcf(c_3999,plain,
! [X0: $i,X1: $i] :
( member(X0,image3(sK0,sK2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3918,c_1298]) ).
tcf(c_4000,plain,
! [X0: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3918,c_1678]) ).
tcf(c_4001,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3918,c_1594]) ).
tcf(c_4002,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3918,c_1679]) ).
tcf(c_4003,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3918,c_1595]) ).
tcf(c_4060,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_1067]) ).
tcf(c_4062,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_1067]) ).
tcf(c_4063,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_1067]) ).
tcf(c_4065,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1911,c_1067]) ).
tcf(c_4079,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4063,c_948]) ).
tcf(c_4114,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3995,c_55]) ).
tcf(c_4115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK6(sK0,sK1,X3)),sK6(sK0,sK1,X3))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_65]) ).
tcf(c_4116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK6(sK0,sK1,X3)),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_64]) ).
tcf(c_4117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_63]) ).
tcf(c_4118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(sK0,sK1,X3),sK8(X0,X1,sK6(sK0,sK1,X3)))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_69]) ).
tcf(c_4119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK6(sK0,sK1,X3)),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_68]) ).
tcf(c_4120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3995,c_67]) ).
tcf(c_4121,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1204]) ).
tcf(c_4122,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1148]) ).
tcf(c_4123,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1111]) ).
tcf(c_4124,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1826]) ).
tcf(c_4125,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1179]) ).
tcf(c_4126,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1119]) ).
tcf(c_4127,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,X2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3995,c_1298]) ).
tcf(c_4128,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3995,c_1678]) ).
tcf(c_4129,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1594]) ).
tcf(c_4130,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3995,c_1679]) ).
tcf(c_4131,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_1595]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] :
( subset(X0,image3(sK0,sK2,X1))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,image3(sK0,sK2,X1)),sK2)
| ~ member(sK4(X0,image3(sK0,sK2,X1)),X1) ),
inference(superposition,[status(thm)],[c_3999,c_53]) ).
tcf(c_4255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ member(X2,X0)
| ~ subset(image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_3999,c_55]) ).
tcf(c_4256,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,X0),X0)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_65]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_64]) ).
tcf(c_4259,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,image3(sK0,sK2,X1),X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_3999,c_1298]) ).
tcf(c_4260,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,image3(sK0,sK2,X1),X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_3999,c_1319]) ).
tcf(c_4261,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK8(sK0,sK2,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_1678]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_1594]) ).
tcf(c_4263,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_1679]) ).
tcf(c_4264,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3999,c_1595]) ).
tcf(c_4346,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ subset(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_2653,c_2600,c_2653]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_4346,c_55]) ).
tcf(c_4356,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_1826]) ).
tcf(c_4357,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_1179]) ).
tcf(c_4358,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_1119]) ).
tcf(c_4359,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4346,c_1678]) ).
tcf(c_4360,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_1594]) ).
tcf(c_4361,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4346,c_1679]) ).
tcf(c_4362,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_1595]) ).
tcf(c_4464,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),inverse_image3(sK0,X2,X1))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_2186,c_66]) ).
tcf(c_4465,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),image3(sK0,X1,X2))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_2186,c_62]) ).
tcf(c_4466,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_2186,c_1092]) ).
tcf(c_4467,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_2186,c_332]) ).
tcf(c_4535,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_2187,c_362,c_2187]) ).
tcf(c_4542,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),inverse_image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_4535,c_66]) ).
tcf(c_4543,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_4535,c_62]) ).
tcf(c_4544,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4535,c_1092]) ).
tcf(c_4545,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_4535,c_332]) ).
tcf(c_4648,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1067]) ).
tcf(c_4649,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_1036]) ).
tcf(c_4650,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_2397]) ).
tcf(c_4651,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK2,X2)
| member(sK4(sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_993]) ).
tcf(c_4652,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2396]) ).
tcf(c_4653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK7(X0,X1,sK4(sK2,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1011]) ).
tcf(c_4654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_994]) ).
tcf(c_4655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK8(X0,X1,sK4(sK2,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1023]) ).
tcf(c_4656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_995]) ).
tcf(c_4657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2398]) ).
tcf(c_4658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1069]) ).
tcf(c_4659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2399]) ).
tcf(c_4660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2400]) ).
tcf(c_4661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2401]) ).
tcf(c_4662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2402]) ).
tcf(c_4663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1071]) ).
tcf(c_4664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2403]) ).
tcf(c_4666,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) = sK5(sK0,sK2,sK4(sK2,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1149]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4650,c_948]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4648,c_948]) ).
tcf(c_4826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1377,c_53]) ).
tcf(c_4827,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_1377,c_55]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| apply(X1,sK7(X1,X2,sK4(image3(X4,X5,X0),X6)),sK4(image3(X4,X5,X0),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1377,c_65]) ).
tcf(c_4829,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,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1377,c_64]) ).
tcf(c_4830,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_1377,c_63]) ).
tcf(c_4831,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),sK8(X1,X2,sK4(image3(X4,X5,X0),X6)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1377,c_69]) ).
tcf(c_4832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK8(X1,X2,sK4(image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1377,c_68]) ).
tcf(c_4833,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_1377,c_67]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_1204]) ).
tcf(c_4835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_1148]) ).
tcf(c_4836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) = sK4(image3(X1,X2,X0),X3) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_1111]) ).
tcf(c_4837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_1826]) ).
tcf(c_4838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_1179]) ).
tcf(c_4839,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_1377,c_1119]) ).
tcf(c_4840,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),sK8(sK0,sK2,sK4(image3(X0,X1,X2),X3)))
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1377,c_1678]) ).
tcf(c_4841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_1594]) ).
tcf(c_4842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(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_1377,c_1679]) ).
tcf(c_4843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_1595]) ).
tcf(c_4970,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_4826,c_1067]) ).
tcf(c_4971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),X3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_1036]) ).
tcf(c_4972,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_4826,c_2397]) ).
tcf(c_4974,plain,
( ~ subset(sK2,sK3)
| ~ subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ),
inference(superposition,[status(thm)],[c_4826,c_300]) ).
tcf(c_5021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1465,c_53]) ).
tcf(c_5022,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_1465,c_55]) ).
tcf(c_5023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| apply(X1,sK7(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_1465,c_65]) ).
tcf(c_5024,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,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1465,c_64]) ).
tcf(c_5025,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_1465,c_63]) ).
tcf(c_5026,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),sK8(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1465,c_69]) ).
tcf(c_5027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| member(sK8(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1465,c_68]) ).
tcf(c_5028,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_1465,c_67]) ).
tcf(c_5029,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_1204]) ).
tcf(c_5030,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,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_1148]) ).
tcf(c_5031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) = sK4(inverse_image3(X1,X2,X0),X3) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_1111]) ).
tcf(c_5032,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_1826]) ).
tcf(c_5033,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_1179]) ).
tcf(c_5034,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_1465,c_1119]) ).
tcf(c_5035,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),sK8(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_1465,c_1678]) ).
tcf(c_5036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_1594]) ).
tcf(c_5037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(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_1465,c_1679]) ).
tcf(c_5038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK4(inverse_image3(X0,X1,X2),X3)),sK1)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_1595]) ).
tcf(c_5192,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_5021,c_1067]) ).
tcf(c_5193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),X3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_1036]) ).
tcf(c_5194,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_5021,c_2397]) ).
tcf(c_5218,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_4974]) ).
tcf(c_5219,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_4974]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,image3(sK0,X1,X2))
| ~ subset(sK1,X1)
| ~ member(sK4(X0,image3(sK0,X1,X2)),sK2)
| ~ member(sK4(X0,image3(sK0,X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_1576,c_53]) ).
tcf(c_5258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X2)
| ~ member(X3,sK2)
| ~ subset(sK1,X0)
| ~ member(X3,X1)
| ~ subset(image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1576,c_55]) ).
tcf(c_5259,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,X0),X0)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_65]) ).
tcf(c_5260,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,X0),X2)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_64]) ).
tcf(c_5262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,image3(sK0,image3(sK0,X3,X1),X2))
| ~ member(X0,sK2)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1576,c_1298]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse_image3(sK0,image3(sK0,X3,X1),X2))
| ~ member(X0,sK1)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1576,c_1319]) ).
tcf(c_5264,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK8(sK0,sK2,X0))
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_1678]) ).
tcf(c_5265,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_1594]) ).
tcf(c_5266,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,X0),sK2)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_1679]) ).
tcf(c_5267,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_1595]) ).
tcf(c_5386,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK2)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_1593]) ).
tcf(c_5393,plain,
! [X0: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_2270,c_319,c_2270]) ).
tcf(c_5400,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),inverse_image3(sK0,X1,X2))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_5393,c_66]) ).
tcf(c_5401,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),image3(sK0,X2,X1))
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_5393,c_62]) ).
tcf(c_5402,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_5393,c_1092]) ).
tcf(c_5403,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_5393,c_332]) ).
tcf(c_5404,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,X0)) = X0 )
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_5393,c_923]) ).
tcf(c_5443,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(sK8(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_2271,c_66]) ).
tcf(c_5444,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(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(sK8(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_2271,c_62]) ).
tcf(c_5445,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2271,c_1092]) ).
tcf(c_5446,plain,
! [X0: $i,X1: $i] :
( ( sK8(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(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2271,c_332]) ).
tcf(c_5510,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_948,c_2410]) ).
tcf(c_5528,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_948,c_2411]) ).
tcf(c_5540,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_2651,c_2600,c_2651]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),inverse_image3(sK0,X2,X1))
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_5540,c_66]) ).
tcf(c_5550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),image3(sK0,X1,X2))
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_5540,c_62]) ).
tcf(c_5551,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_5540,c_1092]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK4(sK3,X0) = X1 )
| ~ subset(sK2,sK3)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_5540,c_332]) ).
tcf(c_5587,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) = sK6(sK0,sK1,sK4(sK2,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_3998]) ).
tcf(c_5588,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_3998]) ).
tcf(c_5589,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_3998]) ).
tcf(c_5590,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_3998]) ).
tcf(c_5591,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_3998]) ).
tcf(c_5592,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_3998]) ).
tcf(c_5593,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_3998]) ).
tcf(c_5594,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_3998]) ).
tcf(c_5595,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_3998]) ).
tcf(c_5596,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_3998]) ).
tcf(c_5597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_3998]) ).
tcf(c_5598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_3998]) ).
tcf(c_5599,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_3998]) ).
tcf(c_5600,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_3998]) ).
tcf(c_5601,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_3998]) ).
tcf(c_5602,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_3998]) ).
tcf(c_5603,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_3998]) ).
tcf(c_5605,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_3998]) ).
tcf(c_5606,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_3998]) ).
tcf(c_5620,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5603,c_948]) ).
tcf(c_5769,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))) = sK5(sK0,sK2,sK4(sK1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1180]) ).
tcf(c_5770,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1180]) ).
tcf(c_5771,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1118,c_1180]) ).
tcf(c_5772,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2566,c_1180]) ).
tcf(c_5773,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_1911,c_1180]) ).
tcf(c_5831,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5021,c_1677]) ).
tcf(c_5844,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_4257]) ).
tcf(c_5846,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_4257]) ).
tcf(c_5847,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_4257]) ).
tcf(c_5848,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_4257]) ).
tcf(c_5849,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_4257]) ).
tcf(c_5850,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_4257]) ).
tcf(c_5851,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_4257]) ).
tcf(c_5852,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_4257]) ).
tcf(c_5853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_4257]) ).
tcf(c_5854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_4257]) ).
tcf(c_5855,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_4257]) ).
tcf(c_5856,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_4257]) ).
tcf(c_5857,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(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_4257]) ).
tcf(c_5858,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(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_4257]) ).
tcf(c_5860,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_4257]) ).
tcf(c_5861,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3918,c_4257]) ).
tcf(c_5862,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_4257]) ).
tcf(c_5863,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_4257]) ).
tcf(c_5864,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_4257]) ).
tcf(c_5865,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_4257]) ).
tcf(c_5866,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_4257]) ).
tcf(c_5867,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_4257]) ).
tcf(c_5868,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_4257]) ).
tcf(c_5869,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_4257]) ).
tcf(c_5871,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_4257]) ).
tcf(c_5872,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_4257]) ).
tcf(c_5873,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_4257]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_5260]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_319,c_5260]) ).
tcf(c_6171,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_5260]) ).
tcf(c_6172,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(sK1,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_5260]) ).
tcf(c_6173,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(sK1,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_5260]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X3,sK4(X0,X1)),X3)
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_5260]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_5260]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK6(sK0,sK1,X0)),X2)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_5260]) ).
tcf(c_6177,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_5260]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),X4)
| ~ subset(sK1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_5260]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),X4)
| ~ subset(sK1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_5260]) ).
tcf(c_6180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK5(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_5260]) ).
tcf(c_6181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK6(sK0,sK1,X0)),X3)
| ~ member(X0,sK2)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_5260]) ).
tcf(c_6182,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(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_5260]) ).
tcf(c_6183,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(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_5260]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,X0),X3)
| ~ member(X0,sK2)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_5260]) ).
tcf(c_6187,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,X0),X2)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_5260]) ).
tcf(c_6188,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK7(sK0,sK1,sK4(X0,X1))),X2)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_5260]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X1)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_5260]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_5260]) ).
tcf(c_6191,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_5260]) ).
tcf(c_6192,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_5260]) ).
tcf(c_6193,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_5260]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_5260]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_5260]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_5260]) ).
tcf(c_6198,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_5260]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_4256]) ).
tcf(c_6404,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_4256]) ).
tcf(c_6405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_4256]) ).
tcf(c_6406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_4256]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,sK3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_4256]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_4256]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_4256]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_4256]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_4256]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_4256]) ).
tcf(c_6413,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_4256]) ).
tcf(c_6414,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_4256]) ).
tcf(c_6415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ subset(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_4256]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ subset(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_4256]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,X0),X0)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_4256]) ).
tcf(c_6419,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3918,c_4256]) ).
tcf(c_6420,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,X0),X0)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_4256]) ).
tcf(c_6421,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_4256]) ).
tcf(c_6422,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_4256]) ).
tcf(c_6423,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_4256]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_4256]) ).
tcf(c_6425,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_4256]) ).
tcf(c_6426,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_4256]) ).
tcf(c_6427,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_4256]) ).
tcf(c_6429,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_4256]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_4256]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_4256]) ).
tcf(c_6687,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_1639,c_53]) ).
tcf(c_6688,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_1639,c_55]) ).
tcf(c_6689,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK8(sK0,X2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_69]) ).
tcf(c_6690,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,X0),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_68]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,image3(sK0,inverse_image3(sK0,X3,X1),X2))
| ~ member(X0,sK2)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1639,c_1298]) ).
tcf(c_6693,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_1639,c_1319]) ).
tcf(c_6694,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,X0),X0)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_4256]) ).
tcf(c_6695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X2,X0),X2)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_5260]) ).
tcf(c_6696,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_4257]) ).
tcf(c_6697,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK8(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1678]) ).
tcf(c_6698,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1594]) ).
tcf(c_6699,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,X0),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1679]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1595]) ).
tcf(c_6800,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_4003,c_1947,c_3918]) ).
tcf(c_6809,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6800,c_55]) ).
tcf(c_6810,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_1826]) ).
tcf(c_6811,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_1179]) ).
tcf(c_6812,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_1119]) ).
tcf(c_6813,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_4256]) ).
tcf(c_6814,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_5260]) ).
tcf(c_6815,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_4257]) ).
tcf(c_6816,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6800,c_1678]) ).
tcf(c_6817,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_1594]) ).
tcf(c_6818,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6800,c_1679]) ).
tcf(c_6819,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_1595]) ).
tcf(c_6908,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_5846,c_362,c_5846]) ).
tcf(c_6917,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_6908,c_55]) ).
tcf(c_6918,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_3998]) ).
tcf(c_6919,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_1204]) ).
tcf(c_6920,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_1148]) ).
tcf(c_6921,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_1111]) ).
tcf(c_6922,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_4256]) ).
tcf(c_6923,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_5260]) ).
tcf(c_6924,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_4257]) ).
tcf(c_6925,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6908,c_1678]) ).
tcf(c_6926,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_1594]) ).
tcf(c_6927,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6908,c_1679]) ).
tcf(c_6928,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_1595]) ).
tcf(c_7169,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_5861,c_3918,c_5861]) ).
tcf(c_7178,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_7169,c_55]) ).
tcf(c_7179,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_3998]) ).
tcf(c_7180,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_1204]) ).
tcf(c_7181,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_1148]) ).
tcf(c_7182,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_1111]) ).
tcf(c_7183,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_4256]) ).
tcf(c_7184,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_5260]) ).
tcf(c_7185,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_4257]) ).
tcf(c_7186,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7169,c_1678]) ).
tcf(c_7187,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_1594]) ).
tcf(c_7188,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7169,c_1679]) ).
tcf(c_7189,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_1595]) ).
tcf(c_7255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK1,X0)),X2)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ subset(X1,X2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_55]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3))),sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3)))
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_65]) ).
tcf(c_7257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_64]) ).
tcf(c_7258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_63]) ).
tcf(c_7259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3)),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3))))
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_69]) ).
tcf(c_7260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_68]) ).
tcf(c_7261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6170,c_67]) ).
tcf(c_7262,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_3998]) ).
tcf(c_7263,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1204]) ).
tcf(c_7264,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1148]) ).
tcf(c_7265,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1111]) ).
tcf(c_7266,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1826]) ).
tcf(c_7267,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1179]) ).
tcf(c_7268,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1119]) ).
tcf(c_7269,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK7(sK0,X0,sK6(sK0,sK1,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_4256]) ).
tcf(c_7270,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,X0,sK6(sK0,sK1,X1))),X2)
| ~ member(X1,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_5260]) ).
tcf(c_7271,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_4257]) ).
tcf(c_7272,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_1678]) ).
tcf(c_7273,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK7(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1594]) ).
tcf(c_7274,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_1679]) ).
tcf(c_7275,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK1)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_1595]) ).
tcf(c_7380,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6171,c_362,c_6171]) ).
tcf(c_7381,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),X0)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_7380]) ).
tcf(c_7389,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X2)),X1)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7381,c_55]) ).
tcf(c_7390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(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)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_65]) ).
tcf(c_7391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_64]) ).
tcf(c_7392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_63]) ).
tcf(c_7393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_69]) ).
tcf(c_7394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_68]) ).
tcf(c_7395,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)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7381,c_67]) ).
tcf(c_7396,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_3998]) ).
tcf(c_7397,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_1204]) ).
tcf(c_7398,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_1148]) ).
tcf(c_7399,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_1111]) ).
tcf(c_7403,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_4256]) ).
tcf(c_7404,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_5260]) ).
tcf(c_7405,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_4257]) ).
tcf(c_7406,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_1678]) ).
tcf(c_7407,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_1594]) ).
tcf(c_7408,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_1679]) ).
tcf(c_7409,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK1)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_1595]) ).
tcf(c_7562,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_948,c_5869]) ).
tcf(c_7584,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_948,c_6194]) ).
tcf(c_7604,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(superposition,[status(thm)],[c_52,c_2541]) ).
tcf(c_7605,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_948,c_2541]) ).
tcf(c_7606,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_1147,c_2541]) ).
tcf(c_7607,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2541]) ).
tcf(c_7608,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_1118,c_2541]) ).
tcf(c_7609,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_2566,c_2541]) ).
tcf(c_7610,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_1911,c_2541]) ).
tcf(c_7613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X0)))) = sK4(sK3,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_2541]) ).
tcf(c_7614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X0)))) = sK4(sK3,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5021,c_2541]) ).
tcf(c_7678,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_2541]) ).
tcf(c_7679,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_1067]) ).
tcf(c_7680,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_1036]) ).
tcf(c_7681,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_2397]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK4(sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_993]) ).
tcf(c_7683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1011]) ).
tcf(c_7684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_994]) ).
tcf(c_7685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK8(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1023]) ).
tcf(c_7686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_995]) ).
tcf(c_7687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_1038]) ).
tcf(c_7688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_1040]) ).
tcf(c_7689,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1180]) ).
tcf(c_7690,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) = sK4(sK1,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK2)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1120]) ).
tcf(c_7706,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7680,c_948]) ).
tcf(c_7786,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_54,c_6690]) ).
tcf(c_7787,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_319,c_6690]) ).
tcf(c_7788,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_362,c_6690]) ).
tcf(c_7789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(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_954,c_6690]) ).
tcf(c_7790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(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_962,c_6690]) ).
tcf(c_7791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X3,sK4(X0,X1)),X3)
| ~ subset(sK2,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_972,c_6690]) ).
tcf(c_7792,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK6(sK0,sK1,X0)),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3995,c_6690]) ).
tcf(c_7793,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK6(sK0,sK1,X0)),X2)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_973,c_6690]) ).
tcf(c_7794,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(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_974,c_6690]) ).
tcf(c_7795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(sK0,X4,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),X4)
| ~ subset(sK2,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_6690]) ).
tcf(c_7796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(sK0,X4,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),X4)
| ~ subset(sK2,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_6690]) ).
tcf(c_7797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(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_1299,c_6690]) ).
tcf(c_7798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,sK6(sK0,sK1,X0)),X3)
| ~ member(X0,sK2)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_6690]) ).
tcf(c_7799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,X0),X3)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_6690]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(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_1377,c_6690]) ).
tcf(c_7801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(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_1465,c_6690]) ).
tcf(c_7802,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,X0),X2)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_6690]) ).
tcf(c_7803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,X0),X3)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_6690]) ).
tcf(c_7806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK7(sK0,sK1,sK4(X0,X1))),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1946,c_6690]) ).
tcf(c_7807,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6800,c_6690]) ).
tcf(c_7808,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X1)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1947,c_6690]) ).
tcf(c_7809,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3258,c_6690]) ).
tcf(c_7810,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_6690]) ).
tcf(c_7811,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3320,c_6690]) ).
tcf(c_7812,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_6690]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X2,sK4(sK3,X0)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2377,c_6690]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK2,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4346,c_6690]) ).
tcf(c_7816,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_6690]) ).
tcf(c_7817,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X2)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3327,c_6690]) ).
tcf(c_7819,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7169,c_6690]) ).
tcf(c_7820,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6908,c_6690]) ).
tcf(c_7821,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,X0,sK6(sK0,sK1,X1))),X2)
| ~ member(X1,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_6690]) ).
tcf(c_7822,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_6690]) ).
tcf(c_8142,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),X1)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4355,c_55]) ).
tcf(c_8143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),sK7(sK0,sK1,sK4(sK3,X3)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_65]) ).
tcf(c_8144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_64]) ).
tcf(c_8145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_63]) ).
tcf(c_8146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,sK1,sK4(sK3,X3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))))
| ~ subset(sK2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_69]) ).
tcf(c_8147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_68]) ).
tcf(c_8148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4355,c_67]) ).
tcf(c_8149,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_3998]) ).
tcf(c_8150,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4355,c_1204]) ).
tcf(c_8151,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4355,c_1148]) ).
tcf(c_8152,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4355,c_1111]) ).
tcf(c_8156,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),X2)
| ~ subset(sK2,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_6690]) ).
tcf(c_8157,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_4256]) ).
tcf(c_8158,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),X2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_5260]) ).
tcf(c_8159,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_4257]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_1678]) ).
tcf(c_8161,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_1594]) ).
tcf(c_8162,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_1679]) ).
tcf(c_8163,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_1595]) ).
tcf(c_8352,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_54,c_5259]) ).
tcf(c_8353,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_319,c_5259]) ).
tcf(c_8354,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_362,c_5259]) ).
tcf(c_8355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X4,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ subset(sK1,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_954,c_5259]) ).
tcf(c_8356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X4,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ subset(sK1,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_962,c_5259]) ).
tcf(c_8357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X3,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_972,c_5259]) ).
tcf(c_8358,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3995,c_5259]) ).
tcf(c_8359,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_973,c_5259]) ).
tcf(c_8360,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_974,c_5259]) ).
tcf(c_8361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X4,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_5259]) ).
tcf(c_8362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X4,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_5259]) ).
tcf(c_8363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1299,c_5259]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ member(X0,sK2)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_5259]) ).
tcf(c_8365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X2,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_5259]) ).
tcf(c_8366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X5,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3))
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1377,c_5259]) ).
tcf(c_8367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X5,sK4(inverse_image3(X0,X1,X2),X3)),sK4(inverse_image3(X0,X1,X2),X3))
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK2) ),
inference(superposition,[status(thm)],[c_1465,c_5259]) ).
tcf(c_8369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,X0),X0)
| ~ member(X0,sK2)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_5259]) ).
tcf(c_8371,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1638,c_5259]) ).
tcf(c_8372,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_5259]) ).
tcf(c_8373,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6800,c_5259]) ).
tcf(c_8374,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_5259]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3258,c_5259]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2039,c_5259]) ).
tcf(c_8377,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3320,c_5259]) ).
tcf(c_8378,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2041,c_5259]) ).
tcf(c_8379,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2377,c_5259]) ).
tcf(c_8381,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4346,c_5259]) ).
tcf(c_8382,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3265,c_5259]) ).
tcf(c_8383,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_3327,c_5259]) ).
tcf(c_8385,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4355,c_5259]) ).
tcf(c_8386,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7169,c_5259]) ).
tcf(c_8387,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6908,c_5259]) ).
tcf(c_8388,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,X0,sK6(sK0,sK1,X1))),sK7(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_5259]) ).
tcf(c_8389,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7381,c_5259]) ).
tcf(c_8810,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,X2,sK4(X0,X1)))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_54,c_6689]) ).
tcf(c_8811,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X1,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_319,c_6689]) ).
tcf(c_8812,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(sK0,X1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_362,c_6689]) ).
tcf(c_8813,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),sK8(sK0,X4,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_954,c_6689]) ).
tcf(c_8814,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),sK8(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_962,c_6689]) ).
tcf(c_8815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,X3,sK4(X0,X1)))
| ~ subset(sK2,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_972,c_6689]) ).
tcf(c_8816,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3995,c_6689]) ).
tcf(c_8817,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X2,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_973,c_6689]) ).
tcf(c_8818,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(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_974,c_6689]) ).
tcf(c_8819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK8(sK0,X4,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(sK2,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_6689]) ).
tcf(c_8820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK8(sK0,X4,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ subset(sK2,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_6689]) ).
tcf(c_8821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(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_1299,c_6689]) ).
tcf(c_8822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X3,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_1318,c_6689]) ).
tcf(c_8823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,X0,sK8(sK0,X3,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_6689]) ).
tcf(c_8824,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),sK8(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_1377,c_6689]) ).
tcf(c_8825,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),sK8(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_1465,c_6689]) ).
tcf(c_8826,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK8(sK0,X2,X0))
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1575,c_6689]) ).
tcf(c_8827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,X0,sK8(sK0,X3,X0))
| ~ member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1576,c_6689]) ).
tcf(c_8830,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK8(sK0,X2,sK7(sK0,sK1,sK4(X0,X1))))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1946,c_6689]) ).
tcf(c_8831,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6800,c_6689]) ).
tcf(c_8832,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1947,c_6689]) ).
tcf(c_8833,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3258,c_6689]) ).
tcf(c_8834,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK8(sK0,sK2,sK4(X0,X1)),sK8(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_6689]) ).
tcf(c_8835,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3320,c_6689]) ).
tcf(c_8836,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_6689]) ).
tcf(c_8837,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,X2,sK4(sK3,X0)))
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2377,c_6689]) ).
tcf(c_8839,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4346,c_6689]) ).
tcf(c_8840,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_6689]) ).
tcf(c_8841,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3327,c_6689]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_6689]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7169,c_6689]) ).
tcf(c_8845,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6908,c_6689]) ).
tcf(c_8846,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,X2,sK7(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_6689]) ).
tcf(c_8847,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_6689]) ).
tcf(c_9137,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_7604,c_55]) ).
tcf(c_9138,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_3998]) ).
tcf(c_9139,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_7604,c_1204]) ).
tcf(c_9140,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_7604,c_1148]) ).
tcf(c_9141,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_7604,c_1111]) ).
tcf(c_9142,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,X1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_7604,c_6689]) ).
tcf(c_9143,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_5259]) ).
tcf(c_9144,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_7604,c_6690]) ).
tcf(c_9145,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_4256]) ).
tcf(c_9146,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_5260]) ).
tcf(c_9147,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_4257]) ).
tcf(c_9148,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_7604,c_1678]) ).
tcf(c_9149,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_1594]) ).
tcf(c_9150,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_7604,c_1679]) ).
tcf(c_9151,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_7604,c_1595]) ).
tcf(c_9331,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ~ member(X0,sK2)
| ~ subset(sK2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_7787,c_319,c_7787]) ).
tcf(c_9332,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X1)),X0)
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_9331]) ).
tcf(c_9340,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X2)),X1)
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9332,c_55]) ).
tcf(c_9341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3))),sK8(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3)))
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_65]) ).
tcf(c_9342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_64]) ).
tcf(c_9343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,image3(X0,X1,X2),sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_63]) ).
tcf(c_9344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3)),sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3))))
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_69]) ).
tcf(c_9345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3))),X1)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_68]) ).
tcf(c_9346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,X2),sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_9332,c_67]) ).
tcf(c_9351,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_1826]) ).
tcf(c_9352,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_1179]) ).
tcf(c_9353,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_1119]) ).
tcf(c_9354,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,X2,sK8(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_6689]) ).
tcf(c_9355,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_5259]) ).
tcf(c_9356,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,X0,sK6(sK0,sK1,X1))),X2)
| ~ member(X1,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_6690]) ).
tcf(c_9357,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_4256]) ).
tcf(c_9358,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK8(sK0,X0,sK6(sK0,sK1,X1))),X2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_5260]) ).
tcf(c_9359,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_4257]) ).
tcf(c_9360,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_1678]) ).
tcf(c_9361,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_1594]) ).
tcf(c_9362,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_1679]) ).
tcf(c_9363,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK1)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9332,c_1595]) ).
tcf(c_9468,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(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_7788,c_55]) ).
tcf(c_9469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK8(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_7788,c_65]) ).
tcf(c_9470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK8(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_7788,c_64]) ).
tcf(c_9471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(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_7788,c_63]) ).
tcf(c_9472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK8(X0,X1,sK8(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_7788,c_69]) ).
tcf(c_9473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK8(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_7788,c_68]) ).
tcf(c_9474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(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_7788,c_67]) ).
tcf(c_9475,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_3998]) ).
tcf(c_9476,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1204]) ).
tcf(c_9477,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1148]) ).
tcf(c_9478,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1111]) ).
tcf(c_9479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1826]) ).
tcf(c_9480,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1179]) ).
tcf(c_9481,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1119]) ).
tcf(c_9482,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,X2,sK8(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_6689]) ).
tcf(c_9483,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK8(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_5259]) ).
tcf(c_9484,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_6690]) ).
tcf(c_9485,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK8(sK0,X0,sK5(sK0,sK2,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_4256]) ).
tcf(c_9486,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK8(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_5260]) ).
tcf(c_9487,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_4257]) ).
tcf(c_9488,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,sK2,sK8(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1678]) ).
tcf(c_9489,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK8(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_1594]) ).
tcf(c_9490,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_1679]) ).
tcf(c_9491,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK5(sK0,sK2,X1))),sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7788,c_1595]) ).
tcf(c_9660,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK4(sK3,X0)),X1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_948,c_7813]) ).
tcf(c_9681,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2409]) ).
tcf(c_9693,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2542,c_53]) ).
tcf(c_9695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X2,sK7(X2,X3,sK4(sK3,X5)),sK4(sK3,X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_65]) ).
tcf(c_9696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X2,X3,sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_64]) ).
tcf(c_9697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_63]) ).
tcf(c_9698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X2,sK4(sK3,X5),sK8(X2,X3,sK4(sK3,X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_69]) ).
tcf(c_9699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X2,X3,sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_68]) ).
tcf(c_9700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2542,c_67]) ).
tcf(c_9701,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_3998]) ).
tcf(c_9702,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_1204]) ).
tcf(c_9703,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2542,c_1148]) ).
tcf(c_9704,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2542,c_1111]) ).
tcf(c_9705,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_1826]) ).
tcf(c_9706,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2542,c_1179]) ).
tcf(c_9707,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2542,c_1119]) ).
tcf(c_9708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,X1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X4)))) = sK4(sK3,image3(X2,X3,X4)) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2542,c_6689]) ).
tcf(c_9709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X4)))) = sK4(sK3,image3(X2,X3,X4)) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_5259]) ).
tcf(c_9710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X4)))) = sK4(sK3,image3(X2,X3,X4)) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2542,c_6690]) ).
tcf(c_9711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_4256]) ).
tcf(c_9712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X4)))) = sK4(sK3,image3(X2,X3,X4)) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_5260]) ).
tcf(c_9713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_4257]) ).
tcf(c_9714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2542,c_1678]) ).
tcf(c_9715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_1594]) ).
tcf(c_9716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2542,c_1679]) ).
tcf(c_9717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2542,c_1595]) ).
tcf(c_9852,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_353,c_332]) ).
tcf(c_9910,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_9852,c_362,c_911]) ).
tcf(c_10035,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_10537,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,X1,X2))
| ~ member(X0,sK2)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_310,c_62]) ).
tcf(c_10633,plain,
! [X0: $i,X1: $i] :
( member(X0,image3(sK0,sK1,X1))
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_319,c_10537]) ).
tcf(c_10650,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,X0),X0)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_10633,c_65]) ).
tcf(c_10651,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,X0),sK1)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_10633,c_64]) ).
tcf(c_10868,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_10035,c_55]) ).
tcf(c_11059,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK1)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1205]) ).
tcf(c_11060,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK1)))) = sK5(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1205]) ).
tcf(c_11061,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1205]) ).
tcf(c_11062,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) ) ),
inference(superposition,[status(thm)],[c_1118,c_1205]) ).
tcf(c_11063,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2566,c_1205]) ).
tcf(c_11064,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1911,c_1205]) ).
tcf(c_11103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_1037]) ).
tcf(c_11104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_1037]) ).
tcf(c_11131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_1039]) ).
tcf(c_11132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_1039]) ).
tcf(c_11147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1068]) ).
tcf(c_11148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_1068]) ).
tcf(c_11163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1070]) ).
tcf(c_11164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_1070]) ).
tcf(c_11185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_4972]) ).
tcf(c_11186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) = sK4(sK2,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_4972]) ).
tcf(c_11281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_5194]) ).
tcf(c_11282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) = sK4(sK2,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_5194]) ).
tcf(c_11297,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2543,c_53]) ).
tcf(c_11299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X2,sK7(X2,X3,sK4(sK3,X5)),sK4(sK3,X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_65]) ).
tcf(c_11300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X2,X3,sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_64]) ).
tcf(c_11301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_63]) ).
tcf(c_11302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X2,sK4(sK3,X5),sK8(X2,X3,sK4(sK3,X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_69]) ).
tcf(c_11303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X2,X3,sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_68]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_2543,c_67]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_3998]) ).
tcf(c_11306,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_1204]) ).
tcf(c_11307,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2543,c_1148]) ).
tcf(c_11308,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2543,c_1111]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_1826]) ).
tcf(c_11310,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2543,c_1179]) ).
tcf(c_11311,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2543,c_1119]) ).
tcf(c_11312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,X1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X4)))) = sK4(sK3,inverse_image3(X2,X3,X4)) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2543,c_6689]) ).
tcf(c_11313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X4)))) = sK4(sK3,inverse_image3(X2,X3,X4)) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_5259]) ).
tcf(c_11314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X4)))) = sK4(sK3,inverse_image3(X2,X3,X4)) )
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2543,c_6690]) ).
tcf(c_11315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_4256]) ).
tcf(c_11316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X4)))) = sK4(sK3,inverse_image3(X2,X3,X4)) )
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_5260]) ).
tcf(c_11317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_4257]) ).
tcf(c_11318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2543,c_1678]) ).
tcf(c_11319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_1594]) ).
tcf(c_11320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_2543,c_1679]) ).
tcf(c_11321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_2543,c_1595]) ).
tcf(c_11425,plain,
! [X0: $i] :
( subset(sK2,X0)
| member(sK4(sK2,X0),sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_11462,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(X0,sK3,sK1))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(X0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_11463,plain,
( member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(sK0,sK3,sK1))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) ),
inference(instantiation,[status(thm)],[c_11462]) ).
tcf(c_11502,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3923,c_55]) ).
tcf(c_11503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_65]) ).
tcf(c_11504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_64]) ).
tcf(c_11505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_63]) ).
tcf(c_11506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK6(sK0,sK1,X0),sK8(X1,X2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_69]) ).
tcf(c_11507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_68]) ).
tcf(c_11508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_67]) ).
tcf(c_11513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_1826]) ).
tcf(c_11514,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_1179]) ).
tcf(c_11515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_1119]) ).
tcf(c_11516,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,image3(sK0,X2,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3923,c_1298]) ).
tcf(c_11517,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X1,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_6689]) ).
tcf(c_11518,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_5259]) ).
tcf(c_11519,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_6690]) ).
tcf(c_11520,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_4256]) ).
tcf(c_11521,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_5260]) ).
tcf(c_11522,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_4257]) ).
tcf(c_11523,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_1678]) ).
tcf(c_11524,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_1594]) ).
tcf(c_11525,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_1679]) ).
tcf(c_11526,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_3923,c_1595]) ).
tcf(c_11678,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_4001,c_2186,c_3918]) ).
tcf(c_11687,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),inverse_image3(sK0,X2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_11678,c_66]) ).
tcf(c_11688,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),image3(sK0,X1,X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_11678,c_62]) ).
tcf(c_11689,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_11678,c_1092]) ).
tcf(c_11690,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_11678,c_332]) ).
tcf(c_11725,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4065,c_55]) ).
tcf(c_11726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_65]) ).
tcf(c_11727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_64]) ).
tcf(c_11728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_63]) ).
tcf(c_11729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK5(sK0,sK2,X0),sK8(X1,X2,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_69]) ).
tcf(c_11730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_68]) ).
tcf(c_11731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_67]) ).
tcf(c_11732,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_3998]) ).
tcf(c_11733,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1204]) ).
tcf(c_11734,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( 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))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1148]) ).
tcf(c_11735,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1111]) ).
tcf(c_11736,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1826]) ).
tcf(c_11737,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1179]) ).
tcf(c_11738,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) = sK5(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1119]) ).
tcf(c_11739,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,X2,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_4065,c_1319]) ).
tcf(c_11740,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(sK0,X1,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_6689]) ).
tcf(c_11741,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_5259]) ).
tcf(c_11742,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_6690]) ).
tcf(c_11743,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_4256]) ).
tcf(c_11744,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_5260]) ).
tcf(c_11745,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_4257]) ).
tcf(c_11746,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK8(sK0,sK2,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1678]) ).
tcf(c_11747,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_1594]) ).
tcf(c_11748,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_1679]) ).
tcf(c_11749,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_4065,c_1595]) ).
tcf(c_12007,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_6404,c_362,c_6404]) ).
tcf(c_12016,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),inverse_image3(sK0,X2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_12007,c_66]) ).
tcf(c_12017,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),image3(sK0,X1,X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_12007,c_62]) ).
tcf(c_12018,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_12007,c_1092]) ).
tcf(c_12019,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_12007,c_332]) ).
tcf(c_12091,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK6(sK0,sK1,X0))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_6419,c_3918,c_6419]) ).
tcf(c_12100,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),inverse_image3(sK0,X2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_12091,c_66]) ).
tcf(c_12101,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),image3(sK0,X1,X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),X2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_12091,c_62]) ).
tcf(c_12102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_12091,c_1092]) ).
tcf(c_12103,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_12091,c_332]) ).
tcf(c_12219,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_948,c_6427]) ).
tcf(c_12235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1384,c_2541]) ).
tcf(c_12236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_1067]) ).
tcf(c_12237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_1036]) ).
tcf(c_12238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_2397]) ).
tcf(c_12239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK2),X4)
| member(sK4(image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1384,c_993]) ).
tcf(c_12240,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) )
| ~ subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_300]) ).
tcf(c_12241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1011]) ).
tcf(c_12242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK4(image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_994]) ).
tcf(c_12243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1023]) ).
tcf(c_12244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK4(image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_995]) ).
tcf(c_12245,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1180]) ).
tcf(c_12247,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1205]) ).
tcf(c_12248,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1149]) ).
tcf(c_12249,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK1,sK2),X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK1,sK2),X1))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1384,c_1593]) ).
tcf(c_12311,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_1380,c_53]) ).
tcf(c_12312,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_1380,c_55]) ).
tcf(c_12313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK7(X0,X1,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_1380,c_65]) ).
tcf(c_12314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK4(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1380,c_64]) ).
tcf(c_12315,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_1380,c_63]) ).
tcf(c_12316,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),sK8(X0,X5,sK4(image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1380,c_69]) ).
tcf(c_12317,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(sK8(X0,X1,sK4(image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1380,c_68]) ).
tcf(c_12318,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_1380,c_67]) ).
tcf(c_12319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_3998]) ).
tcf(c_12320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_1204]) ).
tcf(c_12321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1380,c_1148]) ).
tcf(c_12322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK4(image3(X0,X1,image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1380,c_1111]) ).
tcf(c_12323,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_1826]) ).
tcf(c_12324,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1380,c_1179]) ).
tcf(c_12325,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_1380,c_1119]) ).
tcf(c_12326,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),sK8(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_1380,c_6689]) ).
tcf(c_12327,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,sK7(sK0,X6,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ subset(sK1,X6)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_5259]) ).
tcf(c_12328,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(sK8(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_1380,c_6690]) ).
tcf(c_12329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_4256]) ).
tcf(c_12330,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(sK1,X6)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_5260]) ).
tcf(c_12331,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_4257]) ).
tcf(c_12332,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),sK8(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_1380,c_1678]) ).
tcf(c_12333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_1594]) ).
tcf(c_12334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK8(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_1380,c_1679]) ).
tcf(c_12335,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,sK1,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),sK1)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_1595]) ).
tcf(c_12485,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_12311,c_1067]) ).
tcf(c_12486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ member(X5,sK2)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_1036]) ).
tcf(c_12487,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_12311,c_2397]) ).
tcf(c_12497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12311,c_1593]) ).
tcf(c_12517,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_1383,c_53]) ).
tcf(c_12518,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_1383,c_55]) ).
tcf(c_12519,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,sK7(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_1383,c_65]) ).
tcf(c_12520,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(sK7(X0,X1,sK4(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1383,c_64]) ).
tcf(c_12521,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_1383,c_63]) ).
tcf(c_12522,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),sK8(X0,X5,sK4(image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1383,c_69]) ).
tcf(c_12523,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(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1383,c_68]) ).
tcf(c_12524,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_1383,c_67]) ).
tcf(c_12525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_3998]) ).
tcf(c_12526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_1204]) ).
tcf(c_12527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1383,c_1148]) ).
tcf(c_12528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1383,c_1111]) ).
tcf(c_12529,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_1826]) ).
tcf(c_12530,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1383,c_1179]) ).
tcf(c_12531,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_1383,c_1119]) ).
tcf(c_12532,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),sK8(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_1383,c_6689]) ).
tcf(c_12533,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,sK7(sK0,X6,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ subset(sK1,X6)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_5259]) ).
tcf(c_12534,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(sK8(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_1383,c_6690]) ).
tcf(c_12535,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,sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_4256]) ).
tcf(c_12536,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(sK1,X6)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_5260]) ).
tcf(c_12537,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_4257]) ).
tcf(c_12538,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),sK8(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_1383,c_1678]) ).
tcf(c_12539,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,sK7(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_1594]) ).
tcf(c_12540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK8(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_1383,c_1679]) ).
tcf(c_12541,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,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK1)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_1595]) ).
tcf(c_12727,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_12517,c_1067]) ).
tcf(c_12728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ member(X5,sK2)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_1036]) ).
tcf(c_12729,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_12517,c_2397]) ).
tcf(c_12739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK2)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12517,c_1593]) ).
tcf(c_12791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_12487]) ).
tcf(c_12792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_12487]) ).
tcf(c_12817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_12729]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_12729]) ).
tcf(c_12835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK1,X1)),inverse_image3(sK0,X3,X2))
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK6(sK0,sK1,X1),X3)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),X2) ),
inference(superposition,[status(thm)],[c_8353,c_66]) ).
tcf(c_12836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X1),image3(sK0,X2,X3))
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK6(sK0,sK1,X1),X3)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),X2) ),
inference(superposition,[status(thm)],[c_8353,c_62]) ).
tcf(c_12837,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK1,X1))) = sK6(sK0,sK1,X1) )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_8353,c_1092]) ).
tcf(c_12838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK1,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK1,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK6(sK0,sK1,X1)),X2) ),
inference(superposition,[status(thm)],[c_8353,c_332]) ).
tcf(c_12938,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8354,c_362,c_8354]) ).
tcf(c_12939,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK5(sK0,sK2,X1))
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_12938]) ).
tcf(c_12947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),inverse_image3(sK0,X3,X2))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12939,c_66]) ).
tcf(c_12948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X1),image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12939,c_62]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK5(sK0,sK2,X1),sK2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_12939,c_1092]) ).
tcf(c_12950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK5(sK0,sK2,X1),sK2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12939,c_332]) ).
tcf(c_12987,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK1,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_948,c_8379]) ).
tcf(c_12999,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X0),sK8(sK0,X1,sK6(sK0,sK1,X0)))
| ~ member(X0,sK2)
| ~ subset(sK2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8811,c_319,c_8811]) ).
tcf(c_13000,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,sK1,X1),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_12999]) ).
tcf(c_13008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X1),inverse_image3(sK0,X2,X3))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,X1),X3)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),X2) ),
inference(superposition,[status(thm)],[c_13000,c_66]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X1)),image3(sK0,X3,X2))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,X1),X3)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),X2) ),
inference(superposition,[status(thm)],[c_13000,c_62]) ).
tcf(c_13010,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK6(sK0,sK1,X1)) = sK5(sK0,sK2,sK6(sK0,sK1,X1)) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,X1),sK1)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_13000,c_1092]) ).
tcf(c_13011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(sK0,X0,sK6(sK0,sK1,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,X1),sK1)
| ~ apply(sK0,sK6(sK0,sK1,X1),X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_13000,c_332]) ).
tcf(c_13012,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK6(sK0,sK1,X1)) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_13000,c_923]) ).
tcf(c_13052,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(sK8(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_8812,c_66]) ).
tcf(c_13053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(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(sK8(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_8812,c_62]) ).
tcf(c_13054,plain,
! [X0: $i,X1: $i] :
( ( sK8(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(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_8812,c_1092]) ).
tcf(c_13055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(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(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_8812,c_332]) ).
tcf(c_13094,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK8(sK0,X1,sK4(sK3,X0)))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_948,c_8837]) ).
tcf(c_13109,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ) ),
inference(superposition,[status(thm)],[c_1178,c_5219]) ).
tcf(c_13110,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_5219]) ).
tcf(c_13121,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_5588]) ).
tcf(c_13122,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_5588]) ).
tcf(c_13123,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_5588]) ).
tcf(c_13124,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_5588]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_5588]) ).
tcf(c_13127,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_5588]) ).
tcf(c_13128,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_5588]) ).
tcf(c_13129,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_5588]) ).
tcf(c_13130,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_5588]) ).
tcf(c_13131,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_5588]) ).
tcf(c_13132,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_5588]) ).
tcf(c_13133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_5588]) ).
tcf(c_13134,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_5588]) ).
tcf(c_13135,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_5588]) ).
tcf(c_13136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_5588]) ).
tcf(c_13137,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_5588]) ).
tcf(c_13138,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_5588]) ).
tcf(c_13140,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_5588]) ).
tcf(c_13141,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_5588]) ).
tcf(c_13142,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_5588]) ).
tcf(c_13143,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_5588]) ).
tcf(c_13144,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_5588]) ).
tcf(c_13146,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_5588]) ).
tcf(c_13147,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_5588]) ).
tcf(c_13148,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_5588]) ).
tcf(c_13149,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_5588]) ).
tcf(c_13150,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_5588]) ).
tcf(c_13151,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_5588]) ).
tcf(c_13316,plain,
! [X0: $i] :
( apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_8812]) ).
tcf(c_13317,plain,
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_12007]) ).
tcf(c_13319,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_7788]) ).
tcf(c_13320,plain,
( member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_6908]) ).
tcf(c_13321,plain,
( apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_2271]) ).
tcf(c_13322,plain,
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_4535]) ).
tcf(c_13323,plain,
( member(sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_2041]) ).
tcf(c_13324,plain,
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_3258]) ).
tcf(c_13325,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),X0) ),
inference(superposition,[status(thm)],[c_13109,c_1299]) ).
tcf(c_13326,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(superposition,[status(thm)],[c_13109,c_1319]) ).
tcf(c_13327,plain,
( apply(sK0,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_353]) ).
tcf(c_13328,plain,
( member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_362]) ).
tcf(c_13329,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_12939]) ).
tcf(c_13330,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_7381]) ).
tcf(c_13331,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_3265]) ).
tcf(c_13332,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_974]) ).
tcf(c_13453,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_1468,c_53]) ).
tcf(c_13454,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_1468,c_55]) ).
tcf(c_13455,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,sK7(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_1468,c_65]) ).
tcf(c_13456,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(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1468,c_64]) ).
tcf(c_13457,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_1468,c_63]) ).
tcf(c_13458,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),sK8(X0,X5,sK4(inverse_image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1468,c_69]) ).
tcf(c_13459,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(sK8(X0,X1,sK4(inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1468,c_68]) ).
tcf(c_13460,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_1468,c_67]) ).
tcf(c_13461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_3998]) ).
tcf(c_13462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_1204]) ).
tcf(c_13463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1468,c_1148]) ).
tcf(c_13464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1468,c_1111]) ).
tcf(c_13465,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_5588]) ).
tcf(c_13466,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_1826]) ).
tcf(c_13467,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1468,c_1179]) ).
tcf(c_13468,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_1468,c_1119]) ).
tcf(c_13469,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),sK8(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_1468,c_6689]) ).
tcf(c_13470,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,sK7(sK0,X6,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ subset(sK1,X6)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_5259]) ).
tcf(c_13471,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(sK8(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_1468,c_6690]) ).
tcf(c_13472,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,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_4256]) ).
tcf(c_13473,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(sK1,X6)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_5260]) ).
tcf(c_13474,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_4257]) ).
tcf(c_13475,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),sK8(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_1468,c_1678]) ).
tcf(c_13476,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,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_1594]) ).
tcf(c_13477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK8(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_1468,c_1679]) ).
tcf(c_13478,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,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK1)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_1595]) ).
tcf(c_13694,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_13453,c_1067]) ).
tcf(c_13695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ member(X5,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_1036]) ).
tcf(c_13696,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_13453,c_2397]) ).
tcf(c_13706,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_13453,c_1677]) ).
tcf(c_13726,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_1471,c_53]) ).
tcf(c_13727,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_1471,c_55]) ).
tcf(c_13728,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,sK7(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_1471,c_65]) ).
tcf(c_13729,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(sK7(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1471,c_64]) ).
tcf(c_13730,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_1471,c_63]) ).
tcf(c_13731,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),sK8(X0,X5,sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1471,c_69]) ).
tcf(c_13732,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(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1471,c_68]) ).
tcf(c_13733,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_1471,c_67]) ).
tcf(c_13734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_3998]) ).
tcf(c_13735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_1204]) ).
tcf(c_13736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1471,c_1148]) ).
tcf(c_13737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1471,c_1111]) ).
tcf(c_13738,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_5588]) ).
tcf(c_13739,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_1826]) ).
tcf(c_13740,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1471,c_1179]) ).
tcf(c_13741,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_1471,c_1119]) ).
tcf(c_13742,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),sK8(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_1471,c_6689]) ).
tcf(c_13743,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,sK7(sK0,X6,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ subset(sK1,X6)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_5259]) ).
tcf(c_13744,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(sK8(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_1471,c_6690]) ).
tcf(c_13745,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,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_4256]) ).
tcf(c_13746,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(sK1,X6)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_5260]) ).
tcf(c_13747,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)
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_4257]) ).
tcf(c_13748,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),sK8(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_1471,c_1678]) ).
tcf(c_13749,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,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5))
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_1594]) ).
tcf(c_13750,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(sK8(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_1471,c_1679]) ).
tcf(c_13751,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,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK1)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_1595]) ).
tcf(c_14066,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_13726,c_1067]) ).
tcf(c_14067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ member(X5,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_1036]) ).
tcf(c_14068,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_13726,c_2397]) ).
tcf(c_14078,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_13726,c_1677]) ).
tcf(c_14104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_13696]) ).
tcf(c_14105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_13696]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_14068]) ).
tcf(c_14133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_14068]) ).
tcf(c_14186,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_5599]) ).
tcf(c_14187,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_5599]) ).
tcf(c_14188,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_5599]) ).
tcf(c_14189,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_5599]) ).
tcf(c_14190,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_5599]) ).
tcf(c_14192,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_5599]) ).
tcf(c_14193,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_5599]) ).
tcf(c_14194,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_5599]) ).
tcf(c_14195,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_5599]) ).
tcf(c_14196,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_5599]) ).
tcf(c_14197,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_5599]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_5599]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_5599]) ).
tcf(c_14200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_5599]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_5599]) ).
tcf(c_14202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_5599]) ).
tcf(c_14203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_5599]) ).
tcf(c_14204,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_5599]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_5599]) ).
tcf(c_14206,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_5599]) ).
tcf(c_14207,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_5599]) ).
tcf(c_14208,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_5599]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_5599]) ).
tcf(c_14210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_5599]) ).
tcf(c_14211,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_5599]) ).
tcf(c_14213,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_5599]) ).
tcf(c_14215,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_5599]) ).
tcf(c_14216,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_5599]) ).
tcf(c_14217,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_5599]) ).
tcf(c_14218,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_5599]) ).
tcf(c_14219,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_5599]) ).
tcf(c_14220,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_5599]) ).
tcf(c_14221,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_5599]) ).
tcf(c_14235,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14208,c_948]) ).
tcf(c_14412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(X2,X0,sK4(sK3,X4)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X0,X3)))) = sK4(sK3,image3(X2,X0,X3)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3828,c_55]) ).
tcf(c_14413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X1,sK7(X1,X2,sK7(X0,image3(X1,X2,X3),sK4(sK3,X5))),sK7(X0,image3(X1,X2,X3),sK4(sK3,X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_65]) ).
tcf(c_14414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X1,X2,sK7(X0,image3(X1,X2,X3),sK4(sK3,X5))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_64]) ).
tcf(c_14415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X0,image3(X1,X2,X3),sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_63]) ).
tcf(c_14416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X1,sK7(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5)),sK8(X1,X2,sK7(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_69]) ).
tcf(c_14417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X1,X2,sK7(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_68]) ).
tcf(c_14418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3828,c_67]) ).
tcf(c_14419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_5599]) ).
tcf(c_14420,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_3998]) ).
tcf(c_14421,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_1204]) ).
tcf(c_14422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3828,c_1148]) ).
tcf(c_14423,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X2)))) = sK7(X0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X1)))) = sK4(sK3,image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3828,c_1111]) ).
tcf(c_14424,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_5588]) ).
tcf(c_14425,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_1826]) ).
tcf(c_14426,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_1179]) ).
tcf(c_14427,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3828,c_1119]) ).
tcf(c_14428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(X0,X1,sK4(sK3,X2)),sK8(sK0,X3,sK7(X0,X1,sK4(sK3,X2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X4)))) = sK4(sK3,image3(X0,X1,X4)) )
| ~ subset(sK2,X3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_6689]) ).
tcf(c_14429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,X3,sK7(X0,X1,sK4(sK3,X2))),sK7(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X4)))) = sK4(sK3,image3(X0,X1,X4)) )
| ~ subset(sK1,X3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_5259]) ).
tcf(c_14430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| member(sK8(sK0,X3,sK7(X0,X1,sK4(sK3,X2))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X4)))) = sK4(sK3,image3(X0,X1,X4)) )
| ~ subset(sK2,X3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_6690]) ).
tcf(c_14431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,sK2,sK7(X0,X1,sK4(sK3,X2))),sK7(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_4256]) ).
tcf(c_14432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| member(sK7(sK0,X3,sK7(X0,X1,sK4(sK3,X2))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X4)))) = sK4(sK3,image3(X0,X1,X4)) )
| ~ subset(sK1,X3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_5260]) ).
tcf(c_14433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK7(X0,X1,sK4(sK3,X2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_4257]) ).
tcf(c_14434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(X0,X1,sK4(sK3,X2)),sK8(sK0,sK2,sK7(X0,X1,sK4(sK3,X2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_1678]) ).
tcf(c_14435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,sK1,sK7(X0,X1,sK4(sK3,X2))),sK7(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_1594]) ).
tcf(c_14436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK8(sK0,sK2,sK7(X0,X1,sK4(sK3,X2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_1679]) ).
tcf(c_14437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK7(X0,X1,sK4(sK3,X2))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X3)))) = sK4(sK3,image3(X0,X1,X3)) )
| ~ member(sK7(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3828,c_1595]) ).
tcf(c_14697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK8(X2,X0,sK4(sK3,X4)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X0,X3)))) = sK4(sK3,inverse_image3(X2,X0,X3)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3852,c_55]) ).
tcf(c_14698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X1,sK7(X1,X2,sK8(X0,image3(X1,X2,X3),sK4(sK3,X5))),sK8(X0,image3(X1,X2,X3),sK4(sK3,X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_65]) ).
tcf(c_14699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(X1,X2,sK8(X0,image3(X1,X2,X3),sK4(sK3,X5))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_64]) ).
tcf(c_14700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X0,image3(X1,X2,X3),sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_63]) ).
tcf(c_14701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| apply(X1,sK8(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5)),sK8(X1,X2,sK8(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_69]) ).
tcf(c_14702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X1,X2,sK8(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_68]) ).
tcf(c_14703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK8(X0,inverse_image3(X1,X2,X3),sK4(sK3,X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)))) = sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,X3),X4)) ) ),
inference(superposition,[status(thm)],[c_3852,c_67]) ).
tcf(c_14704,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_5599]) ).
tcf(c_14705,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_3998]) ).
tcf(c_14706,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_1204]) ).
tcf(c_14707,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3852,c_1148]) ).
tcf(c_14708,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X2)))) = sK8(X0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X1)))) = sK4(sK3,inverse_image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3852,c_1111]) ).
tcf(c_14709,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_5588]) ).
tcf(c_14710,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_1826]) ).
tcf(c_14711,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_1179]) ).
tcf(c_14712,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3852,c_1119]) ).
tcf(c_14713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| apply(sK0,sK8(X0,X1,sK4(sK3,X2)),sK8(sK0,X3,sK8(X0,X1,sK4(sK3,X2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X4)))) = sK4(sK3,inverse_image3(X0,X1,X4)) )
| ~ subset(sK2,X3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_6689]) ).
tcf(c_14714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,X3,sK8(X0,X1,sK4(sK3,X2))),sK8(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X4)))) = sK4(sK3,inverse_image3(X0,X1,X4)) )
| ~ subset(sK1,X3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_5259]) ).
tcf(c_14715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| member(sK8(sK0,X3,sK8(X0,X1,sK4(sK3,X2))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X4)))) = sK4(sK3,inverse_image3(X0,X1,X4)) )
| ~ subset(sK2,X3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_6690]) ).
tcf(c_14716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,sK2,sK8(X0,X1,sK4(sK3,X2))),sK8(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_4256]) ).
tcf(c_14717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X2)
| member(sK7(sK0,X3,sK8(X0,X1,sK4(sK3,X2))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X4)))) = sK4(sK3,inverse_image3(X0,X1,X4)) )
| ~ subset(sK1,X3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_5260]) ).
tcf(c_14718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK8(X0,X1,sK4(sK3,X2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_4257]) ).
tcf(c_14719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK8(X0,X1,sK4(sK3,X2)),sK8(sK0,sK2,sK8(X0,X1,sK4(sK3,X2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_1678]) ).
tcf(c_14720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK7(sK0,sK1,sK8(X0,X1,sK4(sK3,X2))),sK8(X0,X1,sK4(sK3,X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_1594]) ).
tcf(c_14721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK8(sK0,sK2,sK8(X0,X1,sK4(sK3,X2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_1679]) ).
tcf(c_14722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK8(X0,X1,sK4(sK3,X2))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X3)))) = sK4(sK3,inverse_image3(X0,X1,X3)) )
| ~ member(sK8(X0,X1,sK4(sK3,X2)),sK2) ),
inference(superposition,[status(thm)],[c_3852,c_1595]) ).
tcf(c_15043,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(global_subsumption_just,[status(thm)],[c_9151,c_7604,c_9151]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_15043,c_55]) ).
tcf(c_15053,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_5588]) ).
tcf(c_15054,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_1826]) ).
tcf(c_15055,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_1179]) ).
tcf(c_15056,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_15043,c_1119]) ).
tcf(c_15057,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15043,c_6689]) ).
tcf(c_15058,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_5259]) ).
tcf(c_15059,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15043,c_6690]) ).
tcf(c_15060,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_4256]) ).
tcf(c_15061,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_5260]) ).
tcf(c_15062,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_4257]) ).
tcf(c_15063,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15043,c_1678]) ).
tcf(c_15064,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_1594]) ).
tcf(c_15065,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15043,c_1679]) ).
tcf(c_15066,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15043,c_1595]) ).
tcf(c_15236,plain,
! [X0: $i] :
( apply(sK0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK8(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_8812]) ).
tcf(c_15237,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_12007]) ).
tcf(c_15238,plain,
! [X0: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_4065]) ).
tcf(c_15239,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_7788]) ).
tcf(c_15240,plain,
( member(sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_6908]) ).
tcf(c_15241,plain,
( apply(sK0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_2271]) ).
tcf(c_15242,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_4535]) ).
tcf(c_15243,plain,
( member(sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_2041]) ).
tcf(c_15244,plain,
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_3258]) ).
tcf(c_15245,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0) ),
inference(superposition,[status(thm)],[c_13110,c_1299]) ).
tcf(c_15246,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X1)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0) ),
inference(superposition,[status(thm)],[c_13110,c_1319]) ).
tcf(c_15247,plain,
( apply(sK0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_353]) ).
tcf(c_15248,plain,
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_362]) ).
tcf(c_15249,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_12939]) ).
tcf(c_15250,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_7381]) ).
tcf(c_15251,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_3265]) ).
tcf(c_15252,plain,
! [X0: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_974]) ).
tcf(c_15416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),inverse_image3(sK0,X3,X2))
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK4(X0,X1),X3)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2185,c_66]) ).
tcf(c_15417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),image3(sK0,X2,X3))
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK4(X0,X1),X3)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2185,c_62]) ).
tcf(c_15418,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2185,c_1092]) ).
tcf(c_15419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK4(X0,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2185,c_332]) ).
tcf(c_15446,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(sK8(sK0,sK2,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2269,c_66]) ).
tcf(c_15447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),image3(sK0,X3,X2))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK4(X0,X1),X3)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2269,c_62]) ).
tcf(c_15448,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2269,c_1092]) ).
tcf(c_15449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK4(X0,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(X0,X1),sK1)
| ~ apply(sK0,sK4(X0,X1),X2)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2269,c_332]) ).
tcf(c_15476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_3607]) ).
tcf(c_15477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_3607]) ).
tcf(c_15539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_3610]) ).
tcf(c_15540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_3610]) ).
tcf(c_15559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_3713]) ).
tcf(c_15560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_3713]) ).
tcf(c_15575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_3716]) ).
tcf(c_15576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_3716]) ).
tcf(c_15585,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(global_subsumption_just,[status(thm)],[c_9149,c_5528,c_7604]) ).
tcf(c_15594,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),inverse_image3(sK0,X2,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_15585,c_66]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),image3(sK0,X1,X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_15585,c_62]) ).
tcf(c_15596,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15585,c_1092]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK4(sK3,X0) = X1 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_15585,c_332]) ).
tcf(c_15624,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_9146,c_7584,c_7604]) ).
tcf(c_15625,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X0,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_15624]) ).
tcf(c_15635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,X0,sK4(sK3,X2)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15625,c_55]) ).
tcf(c_15636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3))),sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_65]) ).
tcf(c_15637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_64]) ).
tcf(c_15638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_63]) ).
tcf(c_15639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3)),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_69]) ).
tcf(c_15640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_68]) ).
tcf(c_15641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_15625,c_67]) ).
tcf(c_15642,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_5599]) ).
tcf(c_15643,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_3998]) ).
tcf(c_15644,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_1204]) ).
tcf(c_15645,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_1148]) ).
tcf(c_15646,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_1111]) ).
tcf(c_15647,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_5588]) ).
tcf(c_15651,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),sK8(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_6689]) ).
tcf(c_15652,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))),sK7(sK0,X0,sK4(sK3,X1)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_5259]) ).
tcf(c_15653,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| member(sK8(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_6690]) ).
tcf(c_15654,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))),sK7(sK0,X0,sK4(sK3,X1)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_4256]) ).
tcf(c_15655,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_5260]) ).
tcf(c_15656,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_4257]) ).
tcf(c_15657,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),sK8(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_1678]) ).
tcf(c_15658,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(sK3,X1))),sK7(sK0,X0,sK4(sK3,X1)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_1594]) ).
tcf(c_15659,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK8(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_1679]) ).
tcf(c_15660,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK7(sK0,X0,sK4(sK3,X1))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_15625,c_1595]) ).
tcf(c_15883,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_9147,c_7562,c_7604]) ).
tcf(c_15894,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_15883,c_55]) ).
tcf(c_15895,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_5599]) ).
tcf(c_15896,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_3998]) ).
tcf(c_15897,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_1204]) ).
tcf(c_15898,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_1148]) ).
tcf(c_15899,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_1111]) ).
tcf(c_15900,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15883,c_6689]) ).
tcf(c_15901,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))),sK7(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_5259]) ).
tcf(c_15902,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15883,c_6690]) ).
tcf(c_15903,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))),sK7(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_4256]) ).
tcf(c_15904,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_5260]) ).
tcf(c_15905,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_4257]) ).
tcf(c_15906,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15883,c_1678]) ).
tcf(c_15907,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))),sK7(sK0,sK2,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_1594]) ).
tcf(c_15908,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_15883,c_1679]) ).
tcf(c_15909,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_15883,c_1595]) ).
tcf(c_16008,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_3997]) ).
tcf(c_16009,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_3997]) ).
tcf(c_16010,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_3997]) ).
tcf(c_16011,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_3997]) ).
tcf(c_16012,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_3997]) ).
tcf(c_16014,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_3997]) ).
tcf(c_16015,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_3997]) ).
tcf(c_16016,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_3997]) ).
tcf(c_16017,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_3997]) ).
tcf(c_16018,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_3997]) ).
tcf(c_16019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_3997]) ).
tcf(c_16020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_3997]) ).
tcf(c_16021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_3997]) ).
tcf(c_16022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_3997]) ).
tcf(c_16023,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,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_3997]) ).
tcf(c_16024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_3997]) ).
tcf(c_16025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_3997]) ).
tcf(c_16026,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_3997]) ).
tcf(c_16027,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_3997]) ).
tcf(c_16028,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_3997]) ).
tcf(c_16029,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_3997]) ).
tcf(c_16030,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_3997]) ).
tcf(c_16031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_3997]) ).
tcf(c_16032,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_3997]) ).
tcf(c_16033,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_3997]) ).
tcf(c_16034,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_3997]) ).
tcf(c_16035,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_3997]) ).
tcf(c_16037,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_3997]) ).
tcf(c_16039,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_3997]) ).
tcf(c_16040,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_3997]) ).
tcf(c_16041,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_3997]) ).
tcf(c_16042,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_3997]) ).
tcf(c_16043,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_3997]) ).
tcf(c_16044,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_3997]) ).
tcf(c_16045,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_3997]) ).
tcf(c_16046,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_3997]) ).
tcf(c_16047,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_3997]) ).
tcf(c_16061,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16030,c_948]) ).
tcf(c_16311,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_13122]) ).
tcf(c_16312,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_13122]) ).
tcf(c_16313,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_13122]) ).
tcf(c_16314,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_13122]) ).
tcf(c_16315,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_13122]) ).
tcf(c_16317,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_13122]) ).
tcf(c_16318,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_13122]) ).
tcf(c_16319,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_13122]) ).
tcf(c_16320,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_13122]) ).
tcf(c_16321,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_13122]) ).
tcf(c_16322,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_13122]) ).
tcf(c_16323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_13122]) ).
tcf(c_16324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_13122]) ).
tcf(c_16325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_13122]) ).
tcf(c_16326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_13122]) ).
tcf(c_16327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_13122]) ).
tcf(c_16328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_13122]) ).
tcf(c_16329,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_13122]) ).
tcf(c_16330,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_13122]) ).
tcf(c_16331,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_13122]) ).
tcf(c_16332,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_13122]) ).
tcf(c_16333,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_13122]) ).
tcf(c_16334,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_13122]) ).
tcf(c_16335,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_13122]) ).
tcf(c_16336,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_13122]) ).
tcf(c_16337,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_13122]) ).
tcf(c_16338,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_13122]) ).
tcf(c_16340,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_13122]) ).
tcf(c_16342,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_13122]) ).
tcf(c_16343,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_13122]) ).
tcf(c_16344,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_13122]) ).
tcf(c_16345,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_13122]) ).
tcf(c_16346,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_13122]) ).
tcf(c_16347,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_13122]) ).
tcf(c_16348,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_13122]) ).
tcf(c_16349,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_13122]) ).
tcf(c_16350,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_13122]) ).
tcf(c_16364,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16333,c_948]) ).
tcf(c_16595,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_14187]) ).
tcf(c_16596,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_14187]) ).
tcf(c_16597,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_14187]) ).
tcf(c_16598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_14187]) ).
tcf(c_16599,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_14187]) ).
tcf(c_16601,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_14187]) ).
tcf(c_16602,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_14187]) ).
tcf(c_16603,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_14187]) ).
tcf(c_16604,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_14187]) ).
tcf(c_16605,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_14187]) ).
tcf(c_16606,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_14187]) ).
tcf(c_16607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_14187]) ).
tcf(c_16608,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_14187]) ).
tcf(c_16609,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_14187]) ).
tcf(c_16610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_14187]) ).
tcf(c_16611,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_14187]) ).
tcf(c_16612,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_14187]) ).
tcf(c_16613,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_14187]) ).
tcf(c_16614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_14187]) ).
tcf(c_16616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_14187]) ).
tcf(c_16617,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_14187]) ).
tcf(c_16618,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_14187]) ).
tcf(c_16619,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_14187]) ).
tcf(c_16620,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_14187]) ).
tcf(c_16621,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_14187]) ).
tcf(c_16622,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_14187]) ).
tcf(c_16623,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_14187]) ).
tcf(c_16625,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_14187]) ).
tcf(c_16626,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_14187]) ).
tcf(c_16627,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_14187]) ).
tcf(c_16628,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_14187]) ).
tcf(c_16629,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_14187]) ).
tcf(c_16630,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_14187]) ).
tcf(c_16631,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_14187]) ).
tcf(c_16950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1385,c_2541]) ).
tcf(c_16951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_1067]) ).
tcf(c_16952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_1036]) ).
tcf(c_16953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_2397]) ).
tcf(c_16954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK2),X4)
| member(sK4(image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) = sK4(image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1385,c_993]) ).
tcf(c_16955,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_300]) ).
tcf(c_16956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_1011]) ).
tcf(c_16957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK4(image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_994]) ).
tcf(c_16958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_1023]) ).
tcf(c_16959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| member(sK4(image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_995]) ).
tcf(c_16960,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK2))) = sK4(image3(X0,X1,sK2),sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1385,c_1180]) ).
tcf(c_16961,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK2))) = sK4(image3(X0,X1,sK2),sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1385,c_1120]) ).
tcf(c_16962,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) = sK4(image3(X0,X1,sK2),sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))) ) ),
inference(superposition,[status(thm)],[c_1385,c_1205]) ).
tcf(c_16963,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) = sK4(image3(X0,X1,sK2),sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) ) ),
inference(superposition,[status(thm)],[c_1385,c_1149]) ).
tcf(c_16964,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK1,sK2),X1))) = sK4(image3(sK0,sK1,sK2),X1) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1385,c_1593]) ).
tcf(c_17032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK7(X0,X1,sK4(sK1,X3)),sK4(sK1,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1245]) ).
tcf(c_17033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK7(X0,X1,sK4(sK1,X3)),sK4(sK1,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1245]) ).
tcf(c_17034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK7(X0,X1,sK4(sK2,X3)),sK4(sK2,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1245]) ).
tcf(c_17035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK7(X0,X1,sK4(sK2,X3)),sK4(sK2,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_1245]) ).
tcf(c_17037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_1245]) ).
tcf(c_17039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK2),X5)),sK4(image3(X0,X1,sK2),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_1245]) ).
tcf(c_17040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK2),X5)),sK4(image3(X0,X1,sK2),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1245]) ).
tcf(c_17083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK4(sK1,X3),sK8(X0,X1,sK4(sK1,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_1267]) ).
tcf(c_17084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK4(sK1,X3),sK8(X0,X1,sK4(sK1,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_1267]) ).
tcf(c_17085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK4(sK2,X3),sK8(X0,X1,sK4(sK2,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_1267]) ).
tcf(c_17086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK4(sK2,X3),sK8(X0,X1,sK4(sK2,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_1267]) ).
tcf(c_17088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_1267]) ).
tcf(c_17090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| apply(X2,sK4(image3(X0,X1,sK2),X5),sK8(X2,X3,sK4(image3(X0,X1,sK2),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_1267]) ).
tcf(c_17091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK2),X5)
| apply(X2,sK4(image3(X0,X1,sK2),X5),sK8(X2,X3,sK4(image3(X0,X1,sK2),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_1267]) ).
tcf(c_17223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X0,X4),X5)
| member(sK7(X3,X0,sK4(image3(X3,X0,X4),X5)),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2757,c_55]) ).
tcf(c_17224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| apply(X1,sK7(X1,X2,sK7(X4,X0,sK4(image3(X4,X0,X5),X6))),sK7(X4,X0,sK4(image3(X4,X0,X5),X6)))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_65]) ).
tcf(c_17225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X1,X2,sK7(X4,X0,sK4(image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_64]) ).
tcf(c_17226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X4,X0,sK4(image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_63]) ).
tcf(c_17227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| apply(X1,sK7(X4,X0,sK4(image3(X4,X0,X5),X6)),sK8(X1,X2,sK7(X4,X0,sK4(image3(X4,X0,X5),X6))))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_69]) ).
tcf(c_17228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK8(X1,X2,sK7(X4,X0,sK4(image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_68]) ).
tcf(c_17229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X4,X0,sK4(image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2757,c_67]) ).
tcf(c_17230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_13122]) ).
tcf(c_17231,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(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_3997]) ).
tcf(c_17232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_5599]) ).
tcf(c_17233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_3998]) ).
tcf(c_17234,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(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_1204]) ).
tcf(c_17235,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(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_1148]) ).
tcf(c_17236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK7(X1,X0,sK4(image3(X1,X0,X2),X3)) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_1111]) ).
tcf(c_17237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_14187]) ).
tcf(c_17238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_5588]) ).
tcf(c_17239,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(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_1826]) ).
tcf(c_17240,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(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_1179]) ).
tcf(c_17241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_1119]) ).
tcf(c_17242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK8(sK0,X5,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_6689]) ).
tcf(c_17243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X5,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_5259]) ).
tcf(c_17244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(sK0,X5,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),X5)
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_6690]) ).
tcf(c_17245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_4256]) ).
tcf(c_17246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X5,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_5260]) ).
tcf(c_17247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_4257]) ).
tcf(c_17248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_1678]) ).
tcf(c_17249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK7(X0,X1,sK4(image3(X0,X1,X2),X3)))
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_1594]) ).
tcf(c_17250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_1679]) ).
tcf(c_17251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK7(X0,X1,sK4(image3(X0,X1,X2),X3))),sK1)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2757,c_1595]) ).
tcf(c_17441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X0,X4),X5)
| member(sK8(X3,X0,sK4(inverse_image3(X3,X0,X4),X5)),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2875,c_55]) ).
tcf(c_17442,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(X1,X2,sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_65]) ).
tcf(c_17443,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,sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_64]) ).
tcf(c_17444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_63]) ).
tcf(c_17445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| apply(X1,sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),sK8(X1,X2,sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_69]) ).
tcf(c_17446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK8(X1,X2,sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_68]) ).
tcf(c_17447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK8(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2875,c_67]) ).
tcf(c_17448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_13122]) ).
tcf(c_17449,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,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_3997]) ).
tcf(c_17450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_5599]) ).
tcf(c_17451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_3998]) ).
tcf(c_17452,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_1204]) ).
tcf(c_17453,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,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_1148]) ).
tcf(c_17454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_1111]) ).
tcf(c_17455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_14187]) ).
tcf(c_17456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_5588]) ).
tcf(c_17457,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_1826]) ).
tcf(c_17458,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,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_1179]) ).
tcf(c_17459,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,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_1119]) ).
tcf(c_17460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK8(sK0,X5,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_6689]) ).
tcf(c_17461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,X5,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_5259]) ).
tcf(c_17462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(sK0,X5,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),X5)
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_6690]) ).
tcf(c_17463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_4256]) ).
tcf(c_17464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,X5,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_5260]) ).
tcf(c_17465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_4257]) ).
tcf(c_17466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_1678]) ).
tcf(c_17467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_1594]) ).
tcf(c_17468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK2)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_1679]) ).
tcf(c_17469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK1)
| ~ subset(X1,X4)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2) ),
inference(superposition,[status(thm)],[c_2875,c_1595]) ).
tcf(c_17644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,image3(X3,X4,X5))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,image3(X3,X4,X5))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_12485]) ).
tcf(c_17645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,image3(X3,X4,X5))))) = sK4(sK2,image3(X1,X2,image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_12485]) ).
tcf(c_17660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_12486]) ).
tcf(c_17661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_12486]) ).
tcf(c_17676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X2)
| member(sK7(X0,X1,sK4(sK3,X2)),inverse_image3(X0,X4,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X5)))) = sK4(sK3,image3(X0,X1,X5)) )
| ~ member(sK4(sK3,X2),X4)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),X3) ),
inference(superposition,[status(thm)],[c_17037,c_66]) ).
tcf(c_17677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),image3(X0,X3,X4))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X5)))) = sK4(sK3,image3(X0,X1,X5)) )
| ~ member(sK4(sK3,X2),X4)
| ~ member(sK7(X0,X1,sK4(sK3,X2)),X3) ),
inference(superposition,[status(thm)],[c_17037,c_62]) ).
tcf(c_17678,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))) = sK4(sK3,X1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,X0,X2)))) = sK4(sK3,image3(sK0,X0,X2)) )
| ~ member(sK4(sK3,X1),sK2)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_17037,c_1092]) ).
tcf(c_17679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| ( sK4(sK3,X1) = X2 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,X0,X3)))) = sK4(sK3,image3(sK0,X0,X3)) )
| ~ member(X2,sK2)
| ~ member(sK4(sK3,X1),sK2)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_17037,c_332]) ).
tcf(c_17710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(X0,X3,X4))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X5)))) = sK4(sK3,inverse_image3(X0,X1,X5)) )
| ~ member(sK4(sK3,X2),X4)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),X3) ),
inference(superposition,[status(thm)],[c_17088,c_66]) ).
tcf(c_17711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X2)
| member(sK8(X0,X1,sK4(sK3,X2)),image3(X0,X4,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X5)))) = sK4(sK3,inverse_image3(X0,X1,X5)) )
| ~ member(sK4(sK3,X2),X4)
| ~ member(sK8(X0,X1,sK4(sK3,X2)),X3) ),
inference(superposition,[status(thm)],[c_17088,c_62]) ).
tcf(c_17712,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK8(sK0,X0,sK4(sK3,X1)) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(sK0,X0,X2)))) = sK4(sK3,inverse_image3(sK0,X0,X2)) )
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK8(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_17088,c_1092]) ).
tcf(c_17713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| ( sK8(sK0,X0,sK4(sK3,X1)) = X2 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(sK0,X0,X3)))) = sK4(sK3,inverse_image3(sK0,X0,X3)) )
| ~ member(X2,sK2)
| ~ member(sK4(sK3,X1),sK1)
| ~ apply(sK0,sK4(sK3,X1),X2)
| ~ member(sK8(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_17088,c_332]) ).
tcf(c_17744,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_14204]) ).
tcf(c_17745,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_14204]) ).
tcf(c_17746,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_14204]) ).
tcf(c_17747,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_14204]) ).
tcf(c_17748,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_14204]) ).
tcf(c_17750,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_14204]) ).
tcf(c_17751,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_14204]) ).
tcf(c_17752,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_14204]) ).
tcf(c_17753,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_14204]) ).
tcf(c_17754,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_14204]) ).
tcf(c_17755,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_14204]) ).
tcf(c_17756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_14204]) ).
tcf(c_17757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_14204]) ).
tcf(c_17758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_14204]) ).
tcf(c_17759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_14204]) ).
tcf(c_17760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_14204]) ).
tcf(c_17761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_14204]) ).
tcf(c_17762,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_14204]) ).
tcf(c_17763,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_14204]) ).
tcf(c_17764,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_14204]) ).
tcf(c_17765,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_14204]) ).
tcf(c_17766,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_14204]) ).
tcf(c_17767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_14204]) ).
tcf(c_17768,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_14204]) ).
tcf(c_17769,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_14204]) ).
tcf(c_17770,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_14204]) ).
tcf(c_17771,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_14204]) ).
tcf(c_17773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_14204]) ).
tcf(c_17774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_14204]) ).
tcf(c_17775,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_14204]) ).
tcf(c_17777,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_14204]) ).
tcf(c_17778,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_14204]) ).
tcf(c_17779,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_14204]) ).
tcf(c_17780,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_14204]) ).
tcf(c_17781,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_14204]) ).
tcf(c_17782,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_14204]) ).
tcf(c_17783,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_14204]) ).
tcf(c_17784,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_14204]) ).
tcf(c_17785,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_14204]) ).
tcf(c_17799,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17766,c_948]) ).
tcf(c_18090,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_2566,c_16955]) ).
tcf(c_18091,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_1911,c_16955]) ).
tcf(c_18102,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_3584,c_2541]) ).
tcf(c_18103,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3584,c_1067]) ).
tcf(c_18104,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3584,c_1036]) ).
tcf(c_18105,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_2397]) ).
tcf(c_18106,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3584,c_993]) ).
tcf(c_18107,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_16955]) ).
tcf(c_18108,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_4974]) ).
tcf(c_18109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1245]) ).
tcf(c_18110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1011]) ).
tcf(c_18111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_994]) ).
tcf(c_18112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1267]) ).
tcf(c_18113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1023]) ).
tcf(c_18114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_995]) ).
tcf(c_18115,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,sK2)))) = sK5(sK0,sK2,sK4(sK3,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1180]) ).
tcf(c_18116,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,sK2)))) = sK5(sK0,sK2,sK4(sK3,sK2)) ) ),
inference(superposition,[status(thm)],[c_3584,c_1120]) ).
tcf(c_18117,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,sK1)))) = sK5(sK0,sK2,sK4(sK3,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_3584,c_1205]) ).
tcf(c_18118,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,sK1)))) = sK5(sK0,sK2,sK4(sK3,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_3584,c_1149]) ).
tcf(c_18272,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_13141]) ).
tcf(c_18273,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_13141]) ).
tcf(c_18286,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_9143,c_7604,c_9143]) ).
tcf(c_18287,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),sK4(sK3,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_18286]) ).
tcf(c_18297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X0,sK4(sK3,X1)),inverse_image3(sK0,X3,X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK4(sK3,X1),X3)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_18287,c_66]) ).
tcf(c_18298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),image3(sK0,X2,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK4(sK3,X1),X3)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_18287,c_62]) ).
tcf(c_18299,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,X0)
| ~ member(sK4(sK3,X1),sK2)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_18287,c_1092]) ).
tcf(c_18300,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK4(sK3,X1) = X2 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ member(X2,sK2)
| ~ subset(sK1,X0)
| ~ member(sK4(sK3,X1),sK2)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_18287,c_332]) ).
tcf(c_18391,plain,
! [X0: $i] :
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_8812]) ).
tcf(c_18392,plain,
( apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_12007]) ).
tcf(c_18394,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_7788]) ).
tcf(c_18395,plain,
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_6908]) ).
tcf(c_18396,plain,
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_2271]) ).
tcf(c_18397,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_4535]) ).
tcf(c_18398,plain,
( member(sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_2041]) ).
tcf(c_18399,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_3258]) ).
tcf(c_18400,plain,
! [X0: $i,X1: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_18090,c_1299]) ).
tcf(c_18401,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_18090,c_1319]) ).
tcf(c_18402,plain,
( apply(sK0,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_353]) ).
tcf(c_18403,plain,
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_362]) ).
tcf(c_18404,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_12939]) ).
tcf(c_18405,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_7381]) ).
tcf(c_18406,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_3265]) ).
tcf(c_18407,plain,
! [X0: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_974]) ).
tcf(c_18601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),X3)
| ~ subset(sK1,X2)
| ~ subset(X2,X3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_55]) ).
tcf(c_18602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(X3,X4))),sK7(sK0,sK1,sK4(X3,X4)))
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_65]) ).
tcf(c_18603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK7(sK0,sK1,sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_64]) ).
tcf(c_18604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,sK1,sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_63]) ).
tcf(c_18605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(sK0,sK1,sK4(X3,X4)),sK8(X0,X1,sK7(sK0,sK1,sK4(X3,X4))))
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_69]) ).
tcf(c_18606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(X0,X1,sK7(sK0,sK1,sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_68]) ).
tcf(c_18607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,sK1,sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3044,c_67]) ).
tcf(c_18608,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_14204]) ).
tcf(c_18609,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_13122]) ).
tcf(c_18610,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_3997]) ).
tcf(c_18611,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_5599]) ).
tcf(c_18612,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_3998]) ).
tcf(c_18613,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1204]) ).
tcf(c_18614,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1148]) ).
tcf(c_18615,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) = sK7(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1111]) ).
tcf(c_18616,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_14187]) ).
tcf(c_18617,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_5588]) ).
tcf(c_18618,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1826]) ).
tcf(c_18619,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1179]) ).
tcf(c_18620,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1119]) ).
tcf(c_18621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK8(sK0,X3,sK7(sK0,sK1,sK4(X0,X1))))
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_6689]) ).
tcf(c_18622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X3,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_5259]) ).
tcf(c_18623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X3,sK7(sK0,sK1,sK4(X0,X1))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_6690]) ).
tcf(c_18624,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_4256]) ).
tcf(c_18625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X3,sK7(sK0,sK1,sK4(X0,X1))),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_5260]) ).
tcf(c_18626,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_4257]) ).
tcf(c_18627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_1678]) ).
tcf(c_18628,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))),sK7(sK0,sK1,sK4(X0,X1)))
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1594]) ).
tcf(c_18629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))),sK2)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_1679]) ).
tcf(c_18630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))),sK1)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_1595]) ).
tcf(c_18766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),X3)
| ~ subset(sK2,X2)
| ~ subset(X2,X3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_55]) ).
tcf(c_18767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK8(sK0,sK2,sK4(X3,X4))),sK8(sK0,sK2,sK4(X3,X4)))
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_65]) ).
tcf(c_18768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK8(sK0,sK2,sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_64]) ).
tcf(c_18769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(sK0,sK2,sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_63]) ).
tcf(c_18770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK8(sK0,sK2,sK4(X3,X4)),sK8(X0,X1,sK8(sK0,sK2,sK4(X3,X4))))
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_69]) ).
tcf(c_18771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(X0,X1,sK8(sK0,sK2,sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_68]) ).
tcf(c_18772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(sK0,sK2,sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3098,c_67]) ).
tcf(c_18773,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_14204]) ).
tcf(c_18774,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_13122]) ).
tcf(c_18775,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_3997]) ).
tcf(c_18776,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_5599]) ).
tcf(c_18777,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_3998]) ).
tcf(c_18778,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1204]) ).
tcf(c_18779,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1148]) ).
tcf(c_18780,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1111]) ).
tcf(c_18781,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_14187]) ).
tcf(c_18782,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_5588]) ).
tcf(c_18783,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1826]) ).
tcf(c_18784,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1179]) ).
tcf(c_18785,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1119]) ).
tcf(c_18786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK8(sK0,sK2,sK4(X0,X1)),sK8(sK0,X3,sK8(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_6689]) ).
tcf(c_18787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_5259]) ).
tcf(c_18788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X3,sK8(sK0,sK2,sK4(X0,X1))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_6690]) ).
tcf(c_18789,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_4256]) ).
tcf(c_18790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK8(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_5260]) ).
tcf(c_18791,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_4257]) ).
tcf(c_18792,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK8(sK0,sK2,sK4(X0,X1)),sK8(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1678]) ).
tcf(c_18793,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_1594]) ).
tcf(c_18794,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))),sK2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_1679]) ).
tcf(c_18795,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))),sK1)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK8(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3098,c_1595]) ).
tcf(c_18992,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_3604]) ).
tcf(c_18994,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_3604]) ).
tcf(c_18995,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_3604]) ).
tcf(c_18996,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_3604]) ).
tcf(c_18997,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_3604]) ).
tcf(c_18998,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3584,c_3604]) ).
tcf(c_18999,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_2566,c_3604]) ).
tcf(c_19000,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1911,c_3604]) ).
tcf(c_19002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_3604]) ).
tcf(c_19003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_3604]) ).
tcf(c_19005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_3604]) ).
tcf(c_19006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_3604]) ).
tcf(c_19007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X5)),X4)
| ~ member(X5,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_3604]) ).
tcf(c_19008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X5)),X4)
| ~ member(X5,sK1)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_3604]) ).
tcf(c_19009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X5)),X4)
| ~ member(X5,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_3604]) ).
tcf(c_19010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X5)),X4)
| ~ member(X5,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_3604]) ).
tcf(c_19046,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18995,c_948]) ).
tcf(c_19058,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18994,c_948]) ).
tcf(c_19091,plain,
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_18992]) ).
tcf(c_19092,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_18992]) ).
tcf(c_19093,plain,
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_18992]) ).
tcf(c_19094,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_18992,c_55]) ).
tcf(c_19095,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_14204]) ).
tcf(c_19096,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_13122]) ).
tcf(c_19097,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_3997]) ).
tcf(c_19098,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_5599]) ).
tcf(c_19099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_3998]) ).
tcf(c_19100,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_1204]) ).
tcf(c_19101,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_1148]) ).
tcf(c_19102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_1111]) ).
tcf(c_19103,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_18992,c_6689]) ).
tcf(c_19104,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_18992,c_5259]) ).
tcf(c_19105,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_18992,c_6690]) ).
tcf(c_19107,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_18992,c_5260]) ).
tcf(c_19109,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_18992,c_1678]) ).
tcf(c_19110,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_18992,c_1594]) ).
tcf(c_19111,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_18992,c_1679]) ).
tcf(c_19112,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_18992,c_1595]) ).
tcf(c_19262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_12727]) ).
tcf(c_19263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))))) = sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_12727]) ).
tcf(c_19278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_12728]) ).
tcf(c_19279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_12728]) ).
tcf(c_19294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_13694]) ).
tcf(c_19295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))))) = sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_13694]) ).
tcf(c_19310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_13695]) ).
tcf(c_19311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_13695]) ).
tcf(c_19328,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_19094]) ).
tcf(c_19329,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_19094]) ).
tcf(c_19330,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_19094]) ).
tcf(c_19331,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_19094,c_55]) ).
tcf(c_19332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),sK7(sK0,sK1,sK5(sK0,sK2,X3)))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_65]) ).
tcf(c_19333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_64]) ).
tcf(c_19334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_63]) ).
tcf(c_19335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK1,sK5(sK0,sK2,X3)),sK8(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_69]) ).
tcf(c_19336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_68]) ).
tcf(c_19337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19094,c_67]) ).
tcf(c_19338,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_14204]) ).
tcf(c_19339,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_13122]) ).
tcf(c_19340,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_3997]) ).
tcf(c_19341,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_5599]) ).
tcf(c_19342,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_3998]) ).
tcf(c_19343,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1204]) ).
tcf(c_19344,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1148]) ).
tcf(c_19345,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1111]) ).
tcf(c_19346,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_14187]) ).
tcf(c_19347,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_5588]) ).
tcf(c_19348,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1826]) ).
tcf(c_19349,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1179]) ).
tcf(c_19350,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1119]) ).
tcf(c_19351,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19094,c_6689]) ).
tcf(c_19352,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_5259]) ).
tcf(c_19353,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19094,c_6690]) ).
tcf(c_19354,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_4256]) ).
tcf(c_19355,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_5260]) ).
tcf(c_19356,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_4257]) ).
tcf(c_19357,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1678]) ).
tcf(c_19358,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_1594]) ).
tcf(c_19359,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19094,c_1679]) ).
tcf(c_19360,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19094,c_1595]) ).
tcf(c_19576,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_19102]) ).
tcf(c_19577,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_19102]) ).
tcf(c_19578,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_19102]) ).
tcf(c_19579,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_19102]) ).
tcf(c_19580,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_19102]) ).
tcf(c_19582,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_19102]) ).
tcf(c_19583,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_19102]) ).
tcf(c_19584,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_19102]) ).
tcf(c_19585,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_19102]) ).
tcf(c_19586,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_19102]) ).
tcf(c_19587,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_19102]) ).
tcf(c_19588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_19102]) ).
tcf(c_19589,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_19102]) ).
tcf(c_19590,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_19102]) ).
tcf(c_19591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_19102]) ).
tcf(c_19592,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_19102]) ).
tcf(c_19593,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_19102]) ).
tcf(c_19594,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_19102]) ).
tcf(c_19595,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_19102]) ).
tcf(c_19597,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_19102]) ).
tcf(c_19598,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_19102]) ).
tcf(c_19599,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_19102]) ).
tcf(c_19600,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_19102]) ).
tcf(c_19601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_19102]) ).
tcf(c_19602,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_19102]) ).
tcf(c_19603,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_19102]) ).
tcf(c_19604,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_19102]) ).
tcf(c_19605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_19102]) ).
tcf(c_19606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_19102]) ).
tcf(c_19607,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_19102]) ).
tcf(c_19608,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_19102]) ).
tcf(c_19609,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_19102]) ).
tcf(c_19611,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_19102]) ).
tcf(c_19612,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_19102]) ).
tcf(c_19613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_19102]) ).
tcf(c_19614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_19102]) ).
tcf(c_19615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_19102]) ).
tcf(c_19616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_19102]) ).
tcf(c_19617,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_19102]) ).
tcf(c_19900,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19111,c_362,c_1948,c_3271]) ).
tcf(c_19907,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_19900]) ).
tcf(c_19908,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_19900]) ).
tcf(c_19909,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_19900]) ).
tcf(c_19910,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_19900,c_55]) ).
tcf(c_19911,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_14204]) ).
tcf(c_19912,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_13122]) ).
tcf(c_19913,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_3997]) ).
tcf(c_19914,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_5599]) ).
tcf(c_19915,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_3998]) ).
tcf(c_19916,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_1204]) ).
tcf(c_19917,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_1148]) ).
tcf(c_19918,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_1111]) ).
tcf(c_19919,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19900,c_6689]) ).
tcf(c_19920,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_5259]) ).
tcf(c_19921,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19900,c_6690]) ).
tcf(c_19922,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_4256]) ).
tcf(c_19923,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_5260]) ).
tcf(c_19924,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_4257]) ).
tcf(c_19925,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19900,c_1678]) ).
tcf(c_19926,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_1594]) ).
tcf(c_19927,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19900,c_1679]) ).
tcf(c_19928,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK1)
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19900,c_1595]) ).
tcf(c_20064,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19112,c_3272,c_18992]) ).
tcf(c_20073,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_20064]) ).
tcf(c_20074,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_20064]) ).
tcf(c_20075,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_20064]) ).
tcf(c_20076,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_20064,c_55]) ).
tcf(c_20077,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_19102]) ).
tcf(c_20078,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_14187]) ).
tcf(c_20079,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_5588]) ).
tcf(c_20080,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_1826]) ).
tcf(c_20081,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_1179]) ).
tcf(c_20082,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_1119]) ).
tcf(c_20083,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_20064,c_6689]) ).
tcf(c_20084,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_5259]) ).
tcf(c_20085,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_20064,c_6690]) ).
tcf(c_20086,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_4256]) ).
tcf(c_20087,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_5260]) ).
tcf(c_20088,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_4257]) ).
tcf(c_20089,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_20064,c_1678]) ).
tcf(c_20090,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_1594]) ).
tcf(c_20091,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_20064,c_1679]) ).
tcf(c_20092,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_20064,c_1595]) ).
tcf(c_20291,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_19000]) ).
tcf(c_20292,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_19000]) ).
tcf(c_20293,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_19000]) ).
tcf(c_20294,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_19000,c_55]) ).
tcf(c_20295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_65]) ).
tcf(c_20296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_64]) ).
tcf(c_20297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_63]) ).
tcf(c_20298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_69]) ).
tcf(c_20299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_68]) ).
tcf(c_20300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_67]) ).
tcf(c_20312,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_1826]) ).
tcf(c_20313,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_1179]) ).
tcf(c_20314,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_1119]) ).
tcf(c_20315,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_6689]) ).
tcf(c_20316,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_5259]) ).
tcf(c_20317,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_6690]) ).
tcf(c_20318,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_4256]) ).
tcf(c_20319,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_5260]) ).
tcf(c_20320,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_4257]) ).
tcf(c_20321,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_1678]) ).
tcf(c_20322,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_1594]) ).
tcf(c_20323,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_1679]) ).
tcf(c_20324,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_19000,c_1595]) ).
tcf(c_20454,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK2,X1)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19105,c_362,c_1948,c_7809]) ).
tcf(c_20455,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_20454]) ).
tcf(c_20463,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_20455]) ).
tcf(c_20464,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_20455]) ).
tcf(c_20465,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_20455]) ).
tcf(c_20466,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X2))),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20455,c_55]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_65]) ).
tcf(c_20468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_64]) ).
tcf(c_20469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_63]) ).
tcf(c_20470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_69]) ).
tcf(c_20471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_68]) ).
tcf(c_20472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20455,c_67]) ).
tcf(c_20473,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_14204]) ).
tcf(c_20474,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_13122]) ).
tcf(c_20475,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_3997]) ).
tcf(c_20476,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_5599]) ).
tcf(c_20477,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_3998]) ).
tcf(c_20478,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1204]) ).
tcf(c_20479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1148]) ).
tcf(c_20480,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1111]) ).
tcf(c_20481,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_19102]) ).
tcf(c_20482,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_14187]) ).
tcf(c_20483,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_5588]) ).
tcf(c_20484,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1826]) ).
tcf(c_20485,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1179]) ).
tcf(c_20486,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1119]) ).
tcf(c_20487,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK8(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_6689]) ).
tcf(c_20488,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_5259]) ).
tcf(c_20489,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_6690]) ).
tcf(c_20490,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_4256]) ).
tcf(c_20491,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_5260]) ).
tcf(c_20492,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_4257]) ).
tcf(c_20493,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1678]) ).
tcf(c_20494,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_1594]) ).
tcf(c_20495,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_1679]) ).
tcf(c_20496,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20455,c_1595]) ).
tcf(c_20728,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_19107,c_18992,c_19107]) ).
tcf(c_20729,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_20728]) ).
tcf(c_20739,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_20729]) ).
tcf(c_20740,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_20729]) ).
tcf(c_20741,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_20729]) ).
tcf(c_20742,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X2))),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20729,c_55]) ).
tcf(c_20743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),sK7(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_65]) ).
tcf(c_20744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_64]) ).
tcf(c_20745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_63]) ).
tcf(c_20746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_69]) ).
tcf(c_20747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_68]) ).
tcf(c_20748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_20729,c_67]) ).
tcf(c_20749,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_14204]) ).
tcf(c_20750,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_13122]) ).
tcf(c_20751,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_3997]) ).
tcf(c_20752,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_5599]) ).
tcf(c_20753,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_3998]) ).
tcf(c_20754,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1204]) ).
tcf(c_20755,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1148]) ).
tcf(c_20756,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1111]) ).
tcf(c_20757,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_19102]) ).
tcf(c_20758,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_14187]) ).
tcf(c_20759,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_5588]) ).
tcf(c_20760,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1826]) ).
tcf(c_20761,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1179]) ).
tcf(c_20762,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1119]) ).
tcf(c_20763,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK8(sK0,X2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_6689]) ).
tcf(c_20764,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_5259]) ).
tcf(c_20765,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),X2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_6690]) ).
tcf(c_20766,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_4256]) ).
tcf(c_20767,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),X2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_5260]) ).
tcf(c_20768,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_4257]) ).
tcf(c_20769,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK8(sK0,sK2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1678]) ).
tcf(c_20770,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_1594]) ).
tcf(c_20771,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_1679]) ).
tcf(c_20772,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_20729,c_1595]) ).
tcf(c_20953,plain,
! [X0: $i,X1: $i] :
( member(X0,sK3)
| ~ subset(X1,sK3)
| ~ member(X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_21012,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_19099]) ).
tcf(c_21013,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_19099]) ).
tcf(c_21014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_19099]) ).
tcf(c_21015,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_19099]) ).
tcf(c_21016,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_19099]) ).
tcf(c_21018,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_19099]) ).
tcf(c_21019,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_19099]) ).
tcf(c_21020,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_19099]) ).
tcf(c_21021,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_19099]) ).
tcf(c_21022,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_19099]) ).
tcf(c_21023,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_19099]) ).
tcf(c_21024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_19099]) ).
tcf(c_21025,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_19099]) ).
tcf(c_21026,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_19099]) ).
tcf(c_21027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_19099]) ).
tcf(c_21028,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_19099]) ).
tcf(c_21029,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_19099]) ).
tcf(c_21030,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_19099]) ).
tcf(c_21031,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_19099]) ).
tcf(c_21033,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_19099]) ).
tcf(c_21034,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_19099]) ).
tcf(c_21035,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_19099]) ).
tcf(c_21036,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_19099]) ).
tcf(c_21037,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_19099]) ).
tcf(c_21038,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_19099]) ).
tcf(c_21039,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_19099]) ).
tcf(c_21040,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_19099]) ).
tcf(c_21041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_19099]) ).
tcf(c_21042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_19099]) ).
tcf(c_21043,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_19099]) ).
tcf(c_21044,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_19099]) ).
tcf(c_21046,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_19099]) ).
tcf(c_21048,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_19099]) ).
tcf(c_21049,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_19099]) ).
tcf(c_21050,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_19099]) ).
tcf(c_21051,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_19099]) ).
tcf(c_21052,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_19099]) ).
tcf(c_21053,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_19099]) ).
tcf(c_21054,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_19099]) ).
tcf(c_21055,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_19099]) ).
tcf(c_21056,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_19099]) ).
tcf(c_21057,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_19099]) ).
tcf(c_21388,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_19000]) ).
tcf(c_21389,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_20064]) ).
tcf(c_21390,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_19900]) ).
tcf(c_21391,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_18992]) ).
tcf(c_21392,plain,
! [X0: $i] :
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_8812]) ).
tcf(c_21393,plain,
( apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_12007]) ).
tcf(c_21395,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_7788]) ).
tcf(c_21396,plain,
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_6908]) ).
tcf(c_21397,plain,
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_2271]) ).
tcf(c_21398,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_4535]) ).
tcf(c_21399,plain,
( member(sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_2041]) ).
tcf(c_21400,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_3258]) ).
tcf(c_21401,plain,
! [X0: $i,X1: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_18091,c_1299]) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_18091,c_1319]) ).
tcf(c_21403,plain,
( apply(sK0,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_353]) ).
tcf(c_21404,plain,
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_362]) ).
tcf(c_21405,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_20729]) ).
tcf(c_21406,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_20455]) ).
tcf(c_21407,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_19094]) ).
tcf(c_21408,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_12939]) ).
tcf(c_21409,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_7381]) ).
tcf(c_21410,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_3265]) ).
tcf(c_21411,plain,
! [X0: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_974]) ).
tcf(c_21574,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_19910]) ).
tcf(c_21575,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_19910]) ).
tcf(c_21576,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_19910]) ).
tcf(c_21577,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_19910]) ).
tcf(c_21578,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X2))),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_19910,c_55]) ).
tcf(c_21579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_65]) ).
tcf(c_21580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_64]) ).
tcf(c_21581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_63]) ).
tcf(c_21582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3))),sK8(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3)))))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_69]) ).
tcf(c_21583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3)))),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_68]) ).
tcf(c_21584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X3))),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_19910,c_67]) ).
tcf(c_21593,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_19099]) ).
tcf(c_21594,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_19102]) ).
tcf(c_21595,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_14187]) ).
tcf(c_21596,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_5588]) ).
tcf(c_21597,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_1826]) ).
tcf(c_21598,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_1179]) ).
tcf(c_21599,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_1119]) ).
tcf(c_21600,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,X2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19910,c_6689]) ).
tcf(c_21601,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_5259]) ).
tcf(c_21602,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19910,c_6690]) ).
tcf(c_21603,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_4256]) ).
tcf(c_21604,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_5260]) ).
tcf(c_21605,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_4257]) ).
tcf(c_21606,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19910,c_1678]) ).
tcf(c_21607,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_1594]) ).
tcf(c_21608,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_19910,c_1679]) ).
tcf(c_21609,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_19910,c_1595]) ).
tcf(c_21757,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),image3(sK0,X0,X1))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X1)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_21820,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_3710]) ).
tcf(c_21822,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_3710]) ).
tcf(c_21823,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_3710]) ).
tcf(c_21824,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_3710]) ).
tcf(c_21825,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_3710]) ).
tcf(c_21826,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3584,c_3710]) ).
tcf(c_21828,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1911,c_3710]) ).
tcf(c_21830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_3710]) ).
tcf(c_21831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_3710]) ).
tcf(c_21833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),X3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_3710]) ).
tcf(c_21834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),X3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_3710]) ).
tcf(c_21835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X5)),X4)
| ~ member(X5,sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_3710]) ).
tcf(c_21836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X5)),X4)
| ~ member(X5,sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_3710]) ).
tcf(c_21837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X5)),X4)
| ~ member(X5,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_3710]) ).
tcf(c_21838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X5)),X4)
| ~ member(X5,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_3710]) ).
tcf(c_21870,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21825,c_948]) ).
tcf(c_21882,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21824,c_948]) ).
tcf(c_21978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_4117]) ).
tcf(c_21979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_4117]) ).
tcf(c_21996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_14066]) ).
tcf(c_21997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))))) = sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1118,c_14066]) ).
tcf(c_22012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_14067]) ).
tcf(c_22013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_14067]) ).
tcf(c_22034,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_21828,c_55]) ).
tcf(c_22035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_65]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_64]) ).
tcf(c_22037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_63]) ).
tcf(c_22038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(X1,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_69]) ).
tcf(c_22039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_68]) ).
tcf(c_22040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_67]) ).
tcf(c_22041,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_14204]) ).
tcf(c_22042,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_13122]) ).
tcf(c_22043,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_3997]) ).
tcf(c_22044,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_5599]) ).
tcf(c_22045,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_3998]) ).
tcf(c_22046,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1204]) ).
tcf(c_22047,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1148]) ).
tcf(c_22048,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1111]) ).
tcf(c_22049,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_19099]) ).
tcf(c_22050,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_19102]) ).
tcf(c_22051,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_14187]) ).
tcf(c_22052,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_5588]) ).
tcf(c_22053,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1826]) ).
tcf(c_22054,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1179]) ).
tcf(c_22055,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1119]) ).
tcf(c_22056,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_6689]) ).
tcf(c_22057,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_5259]) ).
tcf(c_22058,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_6690]) ).
tcf(c_22059,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_4256]) ).
tcf(c_22060,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_5260]) ).
tcf(c_22061,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_4257]) ).
tcf(c_22062,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_1678]) ).
tcf(c_22063,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK8(sK0,sK2,sK6(sK0,sK1,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1594]) ).
tcf(c_22064,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_1679]) ).
tcf(c_22065,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_21828,c_1595]) ).
tcf(c_22436,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_19577]) ).
tcf(c_22437,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_19577]) ).
tcf(c_22438,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_19577]) ).
tcf(c_22439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_19577]) ).
tcf(c_22440,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_19577]) ).
tcf(c_22442,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_19577]) ).
tcf(c_22443,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_19577]) ).
tcf(c_22444,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_19577]) ).
tcf(c_22445,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_19577]) ).
tcf(c_22446,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_19577]) ).
tcf(c_22447,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_19577]) ).
tcf(c_22448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_19577]) ).
tcf(c_22449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_19577]) ).
tcf(c_22450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_19577]) ).
tcf(c_22451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_19577]) ).
tcf(c_22452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_19577]) ).
tcf(c_22453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_19577]) ).
tcf(c_22454,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_19577]) ).
tcf(c_22455,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_19577]) ).
tcf(c_22456,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_19577]) ).
tcf(c_22457,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_19577]) ).
tcf(c_22458,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_19577]) ).
tcf(c_22459,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_19577]) ).
tcf(c_22460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_19577]) ).
tcf(c_22461,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_19577]) ).
tcf(c_22462,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_19577]) ).
tcf(c_22463,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_19577]) ).
tcf(c_22465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_19577]) ).
tcf(c_22466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_19577]) ).
tcf(c_22467,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_19577]) ).
tcf(c_22468,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_19577]) ).
tcf(c_22470,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_19577]) ).
tcf(c_22471,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_19577]) ).
tcf(c_22472,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_19577]) ).
tcf(c_22473,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_19577]) ).
tcf(c_22474,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_19577]) ).
tcf(c_22476,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_19577]) ).
tcf(c_22477,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_19577]) ).
tcf(c_22478,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_19577]) ).
tcf(c_22479,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_19577]) ).
tcf(c_22480,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_19577]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_19577]) ).
tcf(c_22482,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_19577]) ).
tcf(c_22483,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_19577]) ).
tcf(c_22484,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_19577]) ).
tcf(c_22485,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_19577]) ).
tcf(c_22487,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_19577]) ).
tcf(c_22501,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22458,c_948]) ).
tcf(c_22911,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19109,c_362,c_1948,c_3269]) ).
tcf(c_22922,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_22911]) ).
tcf(c_22923,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_22911]) ).
tcf(c_22924,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_22911]) ).
tcf(c_22925,plain,
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_22911]) ).
tcf(c_22926,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),inverse_image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_22911,c_66]) ).
tcf(c_22927,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_22911,c_62]) ).
tcf(c_22928,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_22911,c_1092]) ).
tcf(c_22929,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_22911,c_332]) ).
tcf(c_23012,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19110,c_3270,c_18992]) ).
tcf(c_23025,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_23012]) ).
tcf(c_23026,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_23012]) ).
tcf(c_23027,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_23012]) ).
tcf(c_23028,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_23012]) ).
tcf(c_23029,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),inverse_image3(sK0,X2,X1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X2)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_23012,c_66]) ).
tcf(c_23030,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),image3(sK0,X1,X2))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X2)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_23012,c_62]) ).
tcf(c_23031,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_23012,c_1092]) ).
tcf(c_23032,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK1,sK5(sK0,sK2,X0)) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_23012,c_332]) ).
tcf(c_23122,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_19598]) ).
tcf(c_23123,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_19598]) ).
tcf(c_23134,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK4(sK3,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_9145,c_7604,c_9145]) ).
tcf(c_23145,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),inverse_image3(sK0,X2,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_23134,c_66]) ).
tcf(c_23146,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),image3(sK0,X1,X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_23134,c_62]) ).
tcf(c_23147,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_23134,c_1092]) ).
tcf(c_23148,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK4(sK3,X0) = X1 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_23134,c_332]) ).
tcf(c_23177,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK4(X0,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(X0,X1),sK2)
| ~ apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_15419,c_1946,c_15419]) ).
tcf(c_23234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK8(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_15449,c_2039,c_15449]) ).
tcf(c_23246,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK5(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_353,c_23234]) ).
tcf(c_23248,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK8(sK0,X0,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(sK0,X0,X2)))) = sK4(sK3,inverse_image3(sK0,X0,X2)) )
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK8(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_17088,c_23234]) ).
tcf(c_23265,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_23012]) ).
tcf(c_23266,plain,
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_22911]) ).
tcf(c_23267,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_19000]) ).
tcf(c_23268,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_20064]) ).
tcf(c_23269,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_19900]) ).
tcf(c_23270,plain,
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_18992]) ).
tcf(c_23271,plain,
! [X0: $i] :
( apply(sK0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_8812]) ).
tcf(c_23272,plain,
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_12007]) ).
tcf(c_23273,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_4065]) ).
tcf(c_23274,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_7788]) ).
tcf(c_23275,plain,
( member(sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_6908]) ).
tcf(c_23276,plain,
( apply(sK0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_2271]) ).
tcf(c_23277,plain,
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_4535]) ).
tcf(c_23278,plain,
( member(sK8(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_2041]) ).
tcf(c_23279,plain,
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_3258]) ).
tcf(c_23280,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),X0) ),
inference(superposition,[status(thm)],[c_18107,c_1299]) ).
tcf(c_23281,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0) ),
inference(superposition,[status(thm)],[c_18107,c_1319]) ).
tcf(c_23282,plain,
( apply(sK0,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_353]) ).
tcf(c_23283,plain,
( member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_362]) ).
tcf(c_23284,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_19910]) ).
tcf(c_23285,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_20729]) ).
tcf(c_23286,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_20455]) ).
tcf(c_23287,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_19094]) ).
tcf(c_23288,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_12939]) ).
tcf(c_23289,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_7381]) ).
tcf(c_23290,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_3265]) ).
tcf(c_23291,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_974]) ).
tcf(c_23655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_4120]) ).
tcf(c_23656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_4120]) ).
tcf(c_23707,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_4830]) ).
tcf(c_23708,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_4830]) ).
tcf(c_23709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_4830]) ).
tcf(c_23710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_4830]) ).
tcf(c_23711,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_4830]) ).
tcf(c_23712,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2566,c_4830]) ).
tcf(c_23713,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_4830]) ).
tcf(c_23715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_4830]) ).
tcf(c_23716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_4830]) ).
tcf(c_23718,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_4826,c_4830]) ).
tcf(c_23719,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_5021,c_4830]) ).
tcf(c_23720,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_12311,c_4830]) ).
tcf(c_23721,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_12517,c_4830]) ).
tcf(c_23722,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_13453,c_4830]) ).
tcf(c_23723,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_13726,c_4830]) ).
tcf(c_23797,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_4833]) ).
tcf(c_23798,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_4833]) ).
tcf(c_23799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_4833]) ).
tcf(c_23800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_4833]) ).
tcf(c_23801,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_4833]) ).
tcf(c_23802,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2566,c_4833]) ).
tcf(c_23803,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_4833]) ).
tcf(c_23805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_4833]) ).
tcf(c_23806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_4833]) ).
tcf(c_23808,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_4826,c_4833]) ).
tcf(c_23809,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_5021,c_4833]) ).
tcf(c_23810,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_12311,c_4833]) ).
tcf(c_23811,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_12517,c_4833]) ).
tcf(c_23812,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_13453,c_4833]) ).
tcf(c_23813,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_13726,c_4833]) ).
tcf(c_23891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_5025]) ).
tcf(c_23892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_5025]) ).
tcf(c_23893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_5025]) ).
tcf(c_23894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_5025]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_5025]) ).
tcf(c_23896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2566,c_5025]) ).
tcf(c_23897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_5025]) ).
tcf(c_23899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_5025]) ).
tcf(c_23900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_5025]) ).
tcf(c_23902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X4,X5,image3(X6,X7,X0)),X8)
| member(sK4(inverse_image3(X4,X5,image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_4826,c_5025]) ).
tcf(c_23903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X6,X7,X0)),X8)
| member(sK4(inverse_image3(X4,X5,inverse_image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5021,c_5025]) ).
tcf(c_23904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_12311,c_5025]) ).
tcf(c_23905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_12517,c_5025]) ).
tcf(c_23906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_13453,c_5025]) ).
tcf(c_23907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_13726,c_5025]) ).
tcf(c_24063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X3,X4,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X3,X4,X0)))) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_4970]) ).
tcf(c_24064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X3,X4,X0)))) = sK4(sK2,image3(X3,X4,X0)) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_4970]) ).
tcf(c_24081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X3,X4,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X3,X4,X0))))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_4971]) ).
tcf(c_24082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X3,X4,X0))))) = sK5(sK0,sK2,sK4(sK1,image3(X3,X4,X0))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_4971]) ).
tcf(c_24098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_5028]) ).
tcf(c_24099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_5028]) ).
tcf(c_24100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_5028]) ).
tcf(c_24101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_5028]) ).
tcf(c_24102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3584,c_5028]) ).
tcf(c_24103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_2566,c_5028]) ).
tcf(c_24104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1911,c_5028]) ).
tcf(c_24106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1385,c_5028]) ).
tcf(c_24107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1384,c_5028]) ).
tcf(c_24109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X4,X5,image3(X6,X7,X0)),X8)
| member(sK4(inverse_image3(X4,X5,image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_4826,c_5028]) ).
tcf(c_24110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X6,X7,X0)),X8)
| member(sK4(inverse_image3(X4,X5,inverse_image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5021,c_5028]) ).
tcf(c_24111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_12311,c_5028]) ).
tcf(c_24112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_12517,c_5028]) ).
tcf(c_24113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_13453,c_5028]) ).
tcf(c_24114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_13726,c_5028]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X3,X4,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X3,X4,X0)))) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_5192]) ).
tcf(c_24220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X3,X4,X0)))) = sK4(sK2,inverse_image3(X3,X4,X0)) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_5192]) ).
tcf(c_24229,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_23246,c_2039,c_15448]) ).
tcf(c_24237,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_54,c_24229]) ).
tcf(c_24238,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_954,c_24229]) ).
tcf(c_24239,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) = sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_962,c_24229]) ).
tcf(c_24240,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_24229]) ).
tcf(c_24241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)) = sK8(sK0,sK2,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_24229]) ).
tcf(c_24242,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)) = sK8(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1380,c_24229]) ).
tcf(c_24243,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)) = sK8(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1383,c_24229]) ).
tcf(c_24244,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)) = sK8(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_24229]) ).
tcf(c_24245,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)) = sK8(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1468,c_24229]) ).
tcf(c_24246,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)) = sK8(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1471,c_24229]) ).
tcf(c_24247,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_24229]) ).
tcf(c_24248,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK4(sK3,X2)) = sK8(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2543,c_24229]) ).
tcf(c_24249,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK4(sK3,X2)) = sK8(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2542,c_24229]) ).
tcf(c_24403,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_24247]) ).
tcf(c_24404,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) ) ),
inference(superposition,[status(thm)],[c_1118,c_24247]) ).
tcf(c_24419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X3,X4,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_23713,c_53]) ).
tcf(c_24420,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),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X0)))) = sK4(sK3,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_23713,c_55]) ).
tcf(c_24421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| apply(X2,sK7(X2,X3,sK4(image3(X5,X6,sK3),X7)),sK4(image3(X5,X6,sK3),X7))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_65]) ).
tcf(c_24422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK7(X2,X3,sK4(image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_64]) ).
tcf(c_24423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_63]) ).
tcf(c_24424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| apply(X2,sK4(image3(X5,X6,sK3),X7),sK8(X2,X3,sK4(image3(X5,X6,sK3),X7)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_69]) ).
tcf(c_24425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK8(X2,X3,sK4(image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_68]) ).
tcf(c_24426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23713,c_67]) ).
tcf(c_24427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_19577]) ).
tcf(c_24428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_14204]) ).
tcf(c_24429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_13122]) ).
tcf(c_24430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_3997]) ).
tcf(c_24431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_5599]) ).
tcf(c_24432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_3998]) ).
tcf(c_24433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_1204]) ).
tcf(c_24434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23713,c_1148]) ).
tcf(c_24435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23713,c_1111]) ).
tcf(c_24436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_19099]) ).
tcf(c_24437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_19102]) ).
tcf(c_24438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_14187]) ).
tcf(c_24439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_5588]) ).
tcf(c_24440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_1826]) ).
tcf(c_24441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23713,c_1179]) ).
tcf(c_24442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23713,c_1119]) ).
tcf(c_24443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23713,c_6689]) ).
tcf(c_24444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_5259]) ).
tcf(c_24445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23713,c_6690]) ).
tcf(c_24446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_4256]) ).
tcf(c_24447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_5260]) ).
tcf(c_24448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_4257]) ).
tcf(c_24449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23713,c_1678]) ).
tcf(c_24450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_1594]) ).
tcf(c_24451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23713,c_1679]) ).
tcf(c_24452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23713,c_1595]) ).
tcf(c_24453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X4)) = sK8(sK0,sK2,sK4(image3(X2,X3,sK3),X4)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_23713,c_24229]) ).
tcf(c_24807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X3,X4,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_23803,c_53]) ).
tcf(c_24808,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),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X0)))) = sK4(sK3,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_23803,c_55]) ).
tcf(c_24809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| apply(X2,sK7(X2,X3,sK4(image3(X5,X6,sK3),X7)),sK4(image3(X5,X6,sK3),X7))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_65]) ).
tcf(c_24810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK7(X2,X3,sK4(image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_64]) ).
tcf(c_24811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_63]) ).
tcf(c_24812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| apply(X2,sK4(image3(X5,X6,sK3),X7),sK8(X2,X3,sK4(image3(X5,X6,sK3),X7)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_69]) ).
tcf(c_24813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK8(X2,X3,sK4(image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_68]) ).
tcf(c_24814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23803,c_67]) ).
tcf(c_24815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_19577]) ).
tcf(c_24816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_14204]) ).
tcf(c_24817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_13122]) ).
tcf(c_24818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_3997]) ).
tcf(c_24819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_5599]) ).
tcf(c_24820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_3998]) ).
tcf(c_24821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_1204]) ).
tcf(c_24822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23803,c_1148]) ).
tcf(c_24823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23803,c_1111]) ).
tcf(c_24824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_19099]) ).
tcf(c_24825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_19102]) ).
tcf(c_24826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_14187]) ).
tcf(c_24827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_5588]) ).
tcf(c_24828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_1826]) ).
tcf(c_24829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23803,c_1179]) ).
tcf(c_24830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23803,c_1119]) ).
tcf(c_24831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23803,c_6689]) ).
tcf(c_24832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_5259]) ).
tcf(c_24833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23803,c_6690]) ).
tcf(c_24834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_4256]) ).
tcf(c_24835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_5260]) ).
tcf(c_24836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_4257]) ).
tcf(c_24837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23803,c_1678]) ).
tcf(c_24838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_1594]) ).
tcf(c_24839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23803,c_1679]) ).
tcf(c_24840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23803,c_1595]) ).
tcf(c_24841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X4)) = sK8(sK0,sK2,sK4(image3(X2,X3,sK3),X4)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_23803,c_24229]) ).
tcf(c_25121,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_52,c_10868]) ).
tcf(c_25166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X3,X4,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_23897,c_53]) ).
tcf(c_25167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X0)))) = sK4(sK3,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_23897,c_55]) ).
tcf(c_25168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| apply(X2,sK7(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),sK4(inverse_image3(X5,X6,sK3),X7))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_65]) ).
tcf(c_25169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK7(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_64]) ).
tcf(c_25170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK4(inverse_image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_63]) ).
tcf(c_25171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| apply(X2,sK4(inverse_image3(X5,X6,sK3),X7),sK8(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_69]) ).
tcf(c_25172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK8(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_68]) ).
tcf(c_25173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK4(inverse_image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_23897,c_67]) ).
tcf(c_25174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_19577]) ).
tcf(c_25175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_14204]) ).
tcf(c_25176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_13122]) ).
tcf(c_25177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_3997]) ).
tcf(c_25178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_5599]) ).
tcf(c_25179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_3998]) ).
tcf(c_25180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_1204]) ).
tcf(c_25181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23897,c_1148]) ).
tcf(c_25182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23897,c_1111]) ).
tcf(c_25183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_19099]) ).
tcf(c_25184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_19102]) ).
tcf(c_25185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_14187]) ).
tcf(c_25186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_5588]) ).
tcf(c_25187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_1826]) ).
tcf(c_25188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23897,c_1179]) ).
tcf(c_25189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23897,c_1119]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23897,c_6689]) ).
tcf(c_25191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_5259]) ).
tcf(c_25192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23897,c_6690]) ).
tcf(c_25193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_4256]) ).
tcf(c_25194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X4,X5,X6)))) = sK4(sK3,image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_5260]) ).
tcf(c_25195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_4257]) ).
tcf(c_25196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23897,c_1678]) ).
tcf(c_25197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_1594]) ).
tcf(c_25198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_23897,c_1679]) ).
tcf(c_25199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,X5)))) = sK4(sK3,image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_23897,c_1595]) ).
tcf(c_25200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X2,X3,sK3),X4)) = sK8(sK0,sK2,sK4(inverse_image3(X2,X3,sK3),X4)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_23897,c_24229]) ).
tcf(c_25482,plain,
( subset(sK2,sK3)
| member(sK4(sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[c_11425]) ).
tcf(c_25696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X3,X4,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_24104,c_53]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X0)))) = sK4(sK3,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24104,c_55]) ).
tcf(c_25698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| apply(X2,sK7(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),sK4(inverse_image3(X5,X6,sK3),X7))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_65]) ).
tcf(c_25699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK7(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_64]) ).
tcf(c_25700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK4(inverse_image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_63]) ).
tcf(c_25701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| apply(X2,sK4(inverse_image3(X5,X6,sK3),X7),sK8(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_69]) ).
tcf(c_25702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK8(X2,X3,sK4(inverse_image3(X5,X6,sK3),X7)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_68]) ).
tcf(c_25703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,sK3),X7)
| member(sK4(inverse_image3(X5,X6,sK3),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_24104,c_67]) ).
tcf(c_25704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_19577]) ).
tcf(c_25705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_14204]) ).
tcf(c_25706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_13122]) ).
tcf(c_25707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_3997]) ).
tcf(c_25708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_5599]) ).
tcf(c_25709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_3998]) ).
tcf(c_25710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_1204]) ).
tcf(c_25711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_24104,c_1148]) ).
tcf(c_25712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_24104,c_1111]) ).
tcf(c_25713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_19099]) ).
tcf(c_25714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_19102]) ).
tcf(c_25715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_14187]) ).
tcf(c_25716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_5588]) ).
tcf(c_25717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_1826]) ).
tcf(c_25718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_24104,c_1179]) ).
tcf(c_25719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_24104,c_1119]) ).
tcf(c_25720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_24104,c_6689]) ).
tcf(c_25721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_5259]) ).
tcf(c_25722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_24104,c_6690]) ).
tcf(c_25723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_4256]) ).
tcf(c_25724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X4,X5,X6)))) = sK4(sK3,inverse_image3(X4,X5,X6)) )
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_5260]) ).
tcf(c_25725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_4257]) ).
tcf(c_25726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_24104,c_1678]) ).
tcf(c_25727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_1594]) ).
tcf(c_25728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_24104,c_1679]) ).
tcf(c_25729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,X5)))) = sK4(sK3,inverse_image3(X3,X4,X5)) )
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_24104,c_1595]) ).
tcf(c_25730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X2,X3,sK3),X4)) = sK8(sK0,sK2,sK4(inverse_image3(X2,X3,sK3),X4)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_24104,c_24229]) ).
tcf(c_26165,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_2408]) ).
tcf(c_26217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_3710]) ).
tcf(c_26218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_3604]) ).
tcf(c_26219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_2541]) ).
tcf(c_26220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_1067]) ).
tcf(c_26221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_1036]) ).
tcf(c_26222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_2397]) ).
tcf(c_26223,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1386,c_993]) ).
tcf(c_26224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_5025]) ).
tcf(c_26225,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_4830]) ).
tcf(c_26226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK1),X5)),sK4(image3(X0,X1,sK1),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1245]) ).
tcf(c_26227,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1011]) ).
tcf(c_26228,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_994]) ).
tcf(c_26229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_5028]) ).
tcf(c_26230,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_4833]) ).
tcf(c_26231,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),sK8(X2,X3,sK4(image3(X0,X1,sK1),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1267]) ).
tcf(c_26232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1023]) ).
tcf(c_26233,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1386,c_995]) ).
tcf(c_26234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1180]) ).
tcf(c_26235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) = sK4(image3(X0,X1,sK1),X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1120]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_1205]) ).
tcf(c_26238,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK1),X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK1),X1)))) )
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1386,c_1593]) ).
tcf(c_26498,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_3710]) ).
tcf(c_26499,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_3604]) ).
tcf(c_26500,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_24237,c_2541]) ).
tcf(c_26501,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_1067]) ).
tcf(c_26502,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_1036]) ).
tcf(c_26503,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_2397]) ).
tcf(c_26504,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK4(sK1,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_993]) ).
tcf(c_26505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_5025]) ).
tcf(c_26506,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))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_4830]) ).
tcf(c_26507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK7(X0,X1,sK4(sK1,X3)),sK4(sK1,X3))
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1245]) ).
tcf(c_26508,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,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1011]) ).
tcf(c_26509,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))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_994]) ).
tcf(c_26510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK1),X5)
| member(sK4(inverse_image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_5028]) ).
tcf(c_26511,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))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_4833]) ).
tcf(c_26512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK4(sK1,X3),sK8(X0,X1,sK4(sK1,X3)))
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1267]) ).
tcf(c_26513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK8(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1023]) ).
tcf(c_26514,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))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_995]) ).
tcf(c_26515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,image3(X3,X4,X0))) = sK8(sK0,sK2,sK4(sK1,image3(X3,X4,X0))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_4971]) ).
tcf(c_26516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_3607]) ).
tcf(c_26517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_1037]) ).
tcf(c_26518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_1038]) ).
tcf(c_26519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X3)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_3610]) ).
tcf(c_26520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK6(sK0,sK1,X0)),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_1039]) ).
tcf(c_26521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,X3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_1040]) ).
tcf(c_26522,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK2)) = sK8(sK0,sK2,sK4(sK1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1180]) ).
tcf(c_26523,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK2)) = sK8(sK0,sK2,sK4(sK1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) = sK4(sK1,X0) ) ),
inference(superposition,[status(thm)],[c_24237,c_1120]) ).
tcf(c_26524,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK8(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_24237,c_1205]) ).
tcf(c_26525,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK8(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_24237,c_1149]) ).
tcf(c_26526,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_19598]) ).
tcf(c_26527,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_13141]) ).
tcf(c_26528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_12486]) ).
tcf(c_26529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,inverse_image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_12728]) ).
tcf(c_26530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_13695]) ).
tcf(c_26531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X0),X5)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_14067]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26502,c_948]) ).
tcf(c_26569,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26499,c_948]) ).
tcf(c_26752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_55]) ).
tcf(c_26753,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_19577]) ).
tcf(c_26754,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_14204]) ).
tcf(c_26755,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_13122]) ).
tcf(c_26756,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_3997]) ).
tcf(c_26757,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_5599]) ).
tcf(c_26758,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_3998]) ).
tcf(c_26759,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_1204]) ).
tcf(c_26760,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_1148]) ).
tcf(c_26761,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_1111]) ).
tcf(c_26762,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK8(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5844,c_6689]) ).
tcf(c_26763,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))),sK7(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_5259]) ).
tcf(c_26764,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5844,c_6690]) ).
tcf(c_26765,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))),sK7(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_4256]) ).
tcf(c_26766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_5260]) ).
tcf(c_26767,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_4257]) ).
tcf(c_26768,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK8(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5844,c_1678]) ).
tcf(c_26769,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))),sK7(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_1594]) ).
tcf(c_26770,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5844,c_1679]) ).
tcf(c_26771,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_1595]) ).
tcf(c_26875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X3)
| ~ subset(sK1,X2)
| ~ subset(X2,X3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_55]) ).
tcf(c_26876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(X3,X4))),sK7(sK0,image3(X0,X1,X2),sK4(X3,X4)))
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_65]) ).
tcf(c_26877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_64]) ).
tcf(c_26878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,image3(X0,X1,X2),sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_63]) ).
tcf(c_26879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4)),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4))))
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_69]) ).
tcf(c_26880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_68]) ).
tcf(c_26881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6169,c_67]) ).
tcf(c_26882,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_19577]) ).
tcf(c_26883,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_14204]) ).
tcf(c_26884,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_13122]) ).
tcf(c_26885,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_3997]) ).
tcf(c_26886,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_5599]) ).
tcf(c_26887,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_3998]) ).
tcf(c_26888,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_1204]) ).
tcf(c_26889,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_1148]) ).
tcf(c_26890,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_1111]) ).
tcf(c_26898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,X0,sK4(X1,X2)),sK8(sK0,X3,sK7(sK0,X0,sK4(X1,X2))))
| ~ subset(sK2,X3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_6689]) ).
tcf(c_26899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,X3,sK7(sK0,X0,sK4(X1,X2))),sK7(sK0,X0,sK4(X1,X2)))
| ~ subset(sK1,X3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_5259]) ).
tcf(c_26900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| member(sK8(sK0,X3,sK7(sK0,X0,sK4(X1,X2))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_6690]) ).
tcf(c_26901,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(X1,X2))),sK7(sK0,X0,sK4(X1,X2)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_4256]) ).
tcf(c_26902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| member(sK7(sK0,X3,sK7(sK0,X0,sK4(X1,X2))),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_5260]) ).
tcf(c_26903,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK7(sK0,sK2,sK7(sK0,X0,sK4(X1,X2))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_4257]) ).
tcf(c_26904,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,X0,sK4(X1,X2)),sK8(sK0,sK2,sK7(sK0,X0,sK4(X1,X2))))
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_1678]) ).
tcf(c_26905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(X1,X2))),sK7(sK0,X0,sK4(X1,X2)))
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_1594]) ).
tcf(c_26906,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK8(sK0,sK2,sK7(sK0,X0,sK4(X1,X2))),sK2)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_1679]) ).
tcf(c_26907,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK7(sK0,sK1,sK7(sK0,X0,sK4(X1,X2))),sK1)
| ~ subset(sK1,X0)
| ~ member(sK4(X1,X2),sK2)
| ~ member(sK7(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_1595]) ).
tcf(c_27320,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X2)),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6809,c_55]) ).
tcf(c_27321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X3))),sK7(sK0,sK1,sK6(sK0,sK1,X3)))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_65]) ).
tcf(c_27322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_64]) ).
tcf(c_27323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_63]) ).
tcf(c_27324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK1,sK6(sK0,sK1,X3)),sK8(X0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X3))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_69]) ).
tcf(c_27325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK6(sK0,sK1,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_68]) ).
tcf(c_27326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6809,c_67]) ).
tcf(c_27327,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_19577]) ).
tcf(c_27328,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_14204]) ).
tcf(c_27329,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_13122]) ).
tcf(c_27330,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_3997]) ).
tcf(c_27331,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_5599]) ).
tcf(c_27332,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_3998]) ).
tcf(c_27333,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1204]) ).
tcf(c_27334,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1148]) ).
tcf(c_27335,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK7(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1111]) ).
tcf(c_27336,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_19099]) ).
tcf(c_27337,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_19102]) ).
tcf(c_27338,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_14187]) ).
tcf(c_27339,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_5588]) ).
tcf(c_27340,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1826]) ).
tcf(c_27341,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1179]) ).
tcf(c_27342,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1119]) ).
tcf(c_27343,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6809,c_6689]) ).
tcf(c_27344,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_5259]) ).
tcf(c_27345,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6809,c_6690]) ).
tcf(c_27346,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_4256]) ).
tcf(c_27347,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_5260]) ).
tcf(c_27348,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_4257]) ).
tcf(c_27349,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6809,c_1678]) ).
tcf(c_27350,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK7(sK0,sK1,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1594]) ).
tcf(c_27351,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6809,c_1679]) ).
tcf(c_27352,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6809,c_1595]) ).
tcf(c_27749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_5193]) ).
tcf(c_27750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_5193]) ).
tcf(c_27751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X3,X4,X0))) )
| ~ member(X2,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_5193]) ).
tcf(c_27772,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_6917]) ).
tcf(c_27773,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_6917]) ).
tcf(c_27774,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_6917]) ).
tcf(c_27775,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_6917]) ).
tcf(c_27776,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_6917]) ).
tcf(c_27777,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X2)),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6917,c_55]) ).
tcf(c_27778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),sK7(sK0,sK2,sK5(sK0,sK2,X3)))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_65]) ).
tcf(c_27779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_64]) ).
tcf(c_27780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_63]) ).
tcf(c_27781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK2,sK5(sK0,sK2,X3)),sK8(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_69]) ).
tcf(c_27782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_68]) ).
tcf(c_27783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6917,c_67]) ).
tcf(c_27784,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_19577]) ).
tcf(c_27785,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_14204]) ).
tcf(c_27786,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_13122]) ).
tcf(c_27787,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_3997]) ).
tcf(c_27788,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_5599]) ).
tcf(c_27789,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_3998]) ).
tcf(c_27790,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1204]) ).
tcf(c_27791,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1148]) ).
tcf(c_27792,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1111]) ).
tcf(c_27793,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_19099]) ).
tcf(c_27794,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_19102]) ).
tcf(c_27795,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_14187]) ).
tcf(c_27796,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_5588]) ).
tcf(c_27797,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1826]) ).
tcf(c_27798,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1179]) ).
tcf(c_27799,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1119]) ).
tcf(c_27800,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,X2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6917,c_6689]) ).
tcf(c_27801,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_5259]) ).
tcf(c_27802,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6917,c_6690]) ).
tcf(c_27803,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_4256]) ).
tcf(c_27804,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_5260]) ).
tcf(c_27805,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_4257]) ).
tcf(c_27806,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1678]) ).
tcf(c_27807,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_1594]) ).
tcf(c_27808,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_6917,c_1679]) ).
tcf(c_27809,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_6917,c_1595]) ).
tcf(c_28144,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X2)),X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7178,c_55]) ).
tcf(c_28145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X3))),sK7(sK0,sK2,sK6(sK0,sK1,X3)))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_65]) ).
tcf(c_28146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_64]) ).
tcf(c_28147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_63]) ).
tcf(c_28148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK2,sK6(sK0,sK1,X3)),sK8(X0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X3))))
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_69]) ).
tcf(c_28149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X3))),X1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_68]) ).
tcf(c_28150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X3)),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7178,c_67]) ).
tcf(c_28151,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_19577]) ).
tcf(c_28152,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_14204]) ).
tcf(c_28153,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_13122]) ).
tcf(c_28154,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_3997]) ).
tcf(c_28155,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_5599]) ).
tcf(c_28156,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_3998]) ).
tcf(c_28157,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1204]) ).
tcf(c_28158,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1148]) ).
tcf(c_28159,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1111]) ).
tcf(c_28160,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_19099]) ).
tcf(c_28161,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_19102]) ).
tcf(c_28162,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_14187]) ).
tcf(c_28163,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_5588]) ).
tcf(c_28164,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1826]) ).
tcf(c_28165,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1179]) ).
tcf(c_28166,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1119]) ).
tcf(c_28167,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,X2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7178,c_6689]) ).
tcf(c_28168,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_5259]) ).
tcf(c_28169,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),X2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7178,c_6690]) ).
tcf(c_28170,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_4256]) ).
tcf(c_28171,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_5260]) ).
tcf(c_28172,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_4257]) ).
tcf(c_28173,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK8(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7178,c_1678]) ).
tcf(c_28174,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK7(sK0,sK2,sK6(sK0,sK1,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1594]) ).
tcf(c_28175,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_7178,c_1679]) ).
tcf(c_28176,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_7178,c_1595]) ).
tcf(c_28412,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_7389]) ).
tcf(c_28413,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_7389]) ).
tcf(c_28414,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_7389]) ).
tcf(c_28415,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_7389]) ).
tcf(c_28416,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_7389]) ).
tcf(c_28417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ subset(sK1,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7389,c_55]) ).
tcf(c_28418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,X0,sK5(sK0,sK2,X4))),sK7(sK0,X0,sK5(sK0,sK2,X4)))
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_65]) ).
tcf(c_28419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK7(sK0,X0,sK5(sK0,sK2,X4))),X2)
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_64]) ).
tcf(c_28420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_63]) ).
tcf(c_28421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(sK0,X0,sK5(sK0,sK2,X4)),sK8(X1,X2,sK7(sK0,X0,sK5(sK0,sK2,X4))))
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_69]) ).
tcf(c_28422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X1,X2,sK7(sK0,X0,sK5(sK0,sK2,X4))),X2)
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_68]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_7389,c_67]) ).
tcf(c_28424,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_19577]) ).
tcf(c_28425,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_14204]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_13122]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_3997]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_5599]) ).
tcf(c_28429,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_3998]) ).
tcf(c_28430,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_1204]) ).
tcf(c_28431,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_1148]) ).
tcf(c_28432,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) = sK7(sK0,X0,sK5(sK0,sK2,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_1111]) ).
tcf(c_28433,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_19099]) ).
tcf(c_28434,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_19102]) ).
tcf(c_28435,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_14187]) ).
tcf(c_28436,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_5588]) ).
tcf(c_28437,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_1826]) ).
tcf(c_28438,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_1179]) ).
tcf(c_28439,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_1119]) ).
tcf(c_28440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,X3,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_6689]) ).
tcf(c_28441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK1,X3)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_5259]) ).
tcf(c_28442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,sK7(sK0,X0,sK5(sK0,sK2,X1))),X3)
| ~ member(X1,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_6690]) ).
tcf(c_28443,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_4256]) ).
tcf(c_28444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK7(sK0,X0,sK5(sK0,sK2,X1))),X3)
| ~ member(X1,sK1)
| ~ subset(sK1,X3)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_5260]) ).
tcf(c_28445,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_4257]) ).
tcf(c_28446,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK8(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_1678]) ).
tcf(c_28447,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK7(sK0,X0,sK5(sK0,sK2,X1)))
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_1594]) ).
tcf(c_28448,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_1679]) ).
tcf(c_28449,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK1)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_7389,c_1595]) ).
tcf(c_28732,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))
| ~ subset(sK2,X1)
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_19103,c_362,c_1948,c_8833]) ).
tcf(c_28733,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_28732]) ).
tcf(c_28746,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_28733]) ).
tcf(c_28747,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_28733]) ).
tcf(c_28748,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_28733]) ).
tcf(c_28749,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_28733]) ).
tcf(c_28750,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_28733]) ).
tcf(c_28751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),inverse_image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X3)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X2) ),
inference(superposition,[status(thm)],[c_28733,c_66]) ).
tcf(c_28752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),image3(sK0,X3,X2))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X3)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X2) ),
inference(superposition,[status(thm)],[c_28733,c_62]) ).
tcf(c_28753,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X1))) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_28733,c_1092]) ).
tcf(c_28754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X1)),X2)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_28733,c_332]) ).
tcf(c_28807,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK7(sK0,sK1,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_19104,c_8375,c_18992]) ).
tcf(c_28808,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK7(sK0,sK1,sK5(sK0,sK2,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_28807]) ).
tcf(c_28823,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_13110,c_28808]) ).
tcf(c_28824,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_28808]) ).
tcf(c_28825,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_28808]) ).
tcf(c_28826,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_28808]) ).
tcf(c_28827,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_13109,c_28808]) ).
tcf(c_28828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),inverse_image3(sK0,X3,X2))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X3)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X2) ),
inference(superposition,[status(thm)],[c_28808,c_66]) ).
tcf(c_28829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),image3(sK0,X2,X3))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),X3)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X2) ),
inference(superposition,[status(thm)],[c_28808,c_62]) ).
tcf(c_28830,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1)))) = sK7(sK0,sK1,sK5(sK0,sK2,X1)) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK2)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1) ),
inference(superposition,[status(thm)],[c_28808,c_1092]) ).
tcf(c_28831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,sK1,sK5(sK0,sK2,X1)) = X2 )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK2)
| ~ member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),X2) ),
inference(superposition,[status(thm)],[c_28808,c_332]) ).
tcf(c_28921,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK4(sK3,X0) = X1 )
| ~ subset(sK2,sK3)
| ~ member(X1,sK2)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_5552,c_2600,c_4346,c_5552]) ).
tcf(c_28934,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_28921]) ).
tcf(c_28952,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_16009]) ).
tcf(c_28953,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_16009]) ).
tcf(c_28954,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_16009]) ).
tcf(c_28955,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_16009]) ).
tcf(c_28956,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_16009]) ).
tcf(c_28958,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_16009]) ).
tcf(c_28959,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_16009]) ).
tcf(c_28960,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_16009]) ).
tcf(c_28961,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_16009]) ).
tcf(c_28962,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_16009]) ).
tcf(c_28963,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_16009]) ).
tcf(c_28964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_16009]) ).
tcf(c_28965,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_16009]) ).
tcf(c_28966,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_16009]) ).
tcf(c_28967,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_16009]) ).
tcf(c_28968,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_16009]) ).
tcf(c_28969,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_16009]) ).
tcf(c_28970,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_16009]) ).
tcf(c_28971,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_16009]) ).
tcf(c_28973,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_16009]) ).
tcf(c_28974,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_16009]) ).
tcf(c_28975,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_16009]) ).
tcf(c_28976,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_16009]) ).
tcf(c_28977,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_16009]) ).
tcf(c_28978,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_16009]) ).
tcf(c_28979,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_16009]) ).
tcf(c_28980,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_16009]) ).
tcf(c_28981,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(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_16009]) ).
tcf(c_28982,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_16009]) ).
tcf(c_28984,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_16009]) ).
tcf(c_28986,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_16009]) ).
tcf(c_28988,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_16009]) ).
tcf(c_28989,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_16009]) ).
tcf(c_28990,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_16009]) ).
tcf(c_28991,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_16009]) ).
tcf(c_28992,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_16009]) ).
tcf(c_28993,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_16009]) ).
tcf(c_28994,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_16009]) ).
tcf(c_28995,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_16009]) ).
tcf(c_28996,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_16009]) ).
tcf(c_28997,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_16009]) ).
tcf(c_28998,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_16009]) ).
tcf(c_28999,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_16009]) ).
tcf(c_29000,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_16009]) ).
tcf(c_29001,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_16009]) ).
tcf(c_29002,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_16009]) ).
tcf(c_29003,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_16009]) ).
tcf(c_29004,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_16009]) ).
tcf(c_29005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_16009]) ).
tcf(c_29006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_16009]) ).
tcf(c_29007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_16009]) ).
tcf(c_29008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_16009]) ).
tcf(c_29312,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_25121,c_55]) ).
tcf(c_29342,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_25121,c_10650]) ).
tcf(c_29560,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_16026]) ).
tcf(c_29561,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_16026]) ).
tcf(c_29562,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_16026]) ).
tcf(c_29563,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_16026]) ).
tcf(c_29564,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_16026]) ).
tcf(c_29566,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_16026]) ).
tcf(c_29567,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_16026]) ).
tcf(c_29568,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_16026]) ).
tcf(c_29569,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_16026]) ).
tcf(c_29570,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_16026]) ).
tcf(c_29571,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_16026]) ).
tcf(c_29572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_16026]) ).
tcf(c_29573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_16026]) ).
tcf(c_29574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_16026]) ).
tcf(c_29575,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_16026]) ).
tcf(c_29576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_16026]) ).
tcf(c_29577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_16026]) ).
tcf(c_29578,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_16026]) ).
tcf(c_29579,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_16026]) ).
tcf(c_29580,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_16026]) ).
tcf(c_29581,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_16026]) ).
tcf(c_29582,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_16026]) ).
tcf(c_29583,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_16026]) ).
tcf(c_29584,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_16026]) ).
tcf(c_29585,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_16026]) ).
tcf(c_29586,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_16026]) ).
tcf(c_29587,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_16026]) ).
tcf(c_29589,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(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_16026]) ).
tcf(c_29590,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_16026]) ).
tcf(c_29591,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_16026]) ).
tcf(c_29592,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_16026]) ).
tcf(c_29594,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_16026]) ).
tcf(c_29595,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_16026]) ).
tcf(c_29596,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_16026]) ).
tcf(c_29597,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_16026]) ).
tcf(c_29598,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_16026]) ).
tcf(c_29600,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_16026]) ).
tcf(c_29601,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_16026]) ).
tcf(c_29602,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_16026]) ).
tcf(c_29603,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_16026]) ).
tcf(c_29604,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_16026]) ).
tcf(c_29605,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_16026]) ).
tcf(c_29606,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_16026]) ).
tcf(c_29607,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_16026]) ).
tcf(c_29608,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_16026]) ).
tcf(c_29609,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_16026]) ).
tcf(c_29610,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_16026]) ).
tcf(c_29611,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_16026]) ).
tcf(c_29612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_16026]) ).
tcf(c_29613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_16026]) ).
tcf(c_29614,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_16026]) ).
tcf(c_29615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_16026]) ).
tcf(c_29617,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_16026]) ).
tcf(c_29618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_16026]) ).
tcf(c_29619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_16026]) ).
tcf(c_29620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_16026]) ).
tcf(c_29621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_16026]) ).
tcf(c_29635,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29582,c_948]) ).
tcf(c_30016,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_16312]) ).
tcf(c_30017,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_16312]) ).
tcf(c_30018,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_16312]) ).
tcf(c_30019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_16312]) ).
tcf(c_30020,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_16312]) ).
tcf(c_30022,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_16312]) ).
tcf(c_30023,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_16312]) ).
tcf(c_30024,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_16312]) ).
tcf(c_30025,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_16312]) ).
tcf(c_30026,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_16312]) ).
tcf(c_30027,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_16312]) ).
tcf(c_30028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_16312]) ).
tcf(c_30029,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_16312]) ).
tcf(c_30030,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_16312]) ).
tcf(c_30031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_16312]) ).
tcf(c_30032,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_16312]) ).
tcf(c_30033,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_16312]) ).
tcf(c_30034,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_16312]) ).
tcf(c_30035,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_16312]) ).
tcf(c_30037,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_16312]) ).
tcf(c_30038,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_16312]) ).
tcf(c_30039,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_16312]) ).
tcf(c_30040,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_16312]) ).
tcf(c_30041,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_16312]) ).
tcf(c_30042,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_16312]) ).
tcf(c_30043,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_16312]) ).
tcf(c_30044,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_16312]) ).
tcf(c_30045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_16312]) ).
tcf(c_30046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_16312]) ).
tcf(c_30048,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_16312]) ).
tcf(c_30050,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_16312]) ).
tcf(c_30052,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_16312]) ).
tcf(c_30053,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_16312]) ).
tcf(c_30054,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_16312]) ).
tcf(c_30055,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_16312]) ).
tcf(c_30056,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_16312]) ).
tcf(c_30057,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_16312]) ).
tcf(c_30058,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_16312]) ).
tcf(c_30059,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_16312]) ).
tcf(c_30060,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_16312]) ).
tcf(c_30061,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_16312]) ).
tcf(c_30062,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_16312]) ).
tcf(c_30063,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_16312]) ).
tcf(c_30064,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_16312]) ).
tcf(c_30065,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_16312]) ).
tcf(c_30066,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_16312]) ).
tcf(c_30067,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_16312]) ).
tcf(c_30068,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_16312]) ).
tcf(c_30069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_16312]) ).
tcf(c_30070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_16312]) ).
tcf(c_30071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_16312]) ).
tcf(c_30072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_16312]) ).
tcf(c_30488,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_16329]) ).
tcf(c_30489,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_16329]) ).
tcf(c_30490,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_16329]) ).
tcf(c_30491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_16329]) ).
tcf(c_30492,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_16329]) ).
tcf(c_30494,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_16329]) ).
tcf(c_30495,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_16329]) ).
tcf(c_30496,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_16329]) ).
tcf(c_30497,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_16329]) ).
tcf(c_30498,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_16329]) ).
tcf(c_30499,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_16329]) ).
tcf(c_30500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_16329]) ).
tcf(c_30501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_16329]) ).
tcf(c_30502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_16329]) ).
tcf(c_30503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_16329]) ).
tcf(c_30504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_16329]) ).
tcf(c_30505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_16329]) ).
tcf(c_30506,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_16329]) ).
tcf(c_30507,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_16329]) ).
tcf(c_30508,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_16329]) ).
tcf(c_30509,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_16329]) ).
tcf(c_30510,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_16329]) ).
tcf(c_30511,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_16329]) ).
tcf(c_30512,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_16329]) ).
tcf(c_30513,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_16329]) ).
tcf(c_30514,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_16329]) ).
tcf(c_30515,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_16329]) ).
tcf(c_30517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_16329]) ).
tcf(c_30518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_16329]) ).
tcf(c_30519,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_16329]) ).
tcf(c_30520,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_16329]) ).
tcf(c_30522,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_16329]) ).
tcf(c_30523,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_16329]) ).
tcf(c_30524,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_16329]) ).
tcf(c_30525,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_16329]) ).
tcf(c_30526,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_16329]) ).
tcf(c_30528,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_16329]) ).
tcf(c_30529,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_16329]) ).
tcf(c_30530,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_16329]) ).
tcf(c_30531,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_16329]) ).
tcf(c_30532,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_16329]) ).
tcf(c_30533,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_16329]) ).
tcf(c_30534,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_16329]) ).
tcf(c_30535,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_16329]) ).
tcf(c_30536,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_16329]) ).
tcf(c_30537,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_16329]) ).
tcf(c_30538,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_16329]) ).
tcf(c_30539,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_16329]) ).
tcf(c_30540,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_16329]) ).
tcf(c_30541,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_16329]) ).
tcf(c_30542,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_16329]) ).
tcf(c_30543,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_16329]) ).
tcf(c_30545,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_16329]) ).
tcf(c_30546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_16329]) ).
tcf(c_30547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_16329]) ).
tcf(c_30548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_16329]) ).
tcf(c_30549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_16329]) ).
tcf(c_30563,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30510,c_948]) ).
tcf(c_30907,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_52,c_29312]) ).
tcf(c_30994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_3710]) ).
tcf(c_30995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_3604]) ).
tcf(c_30996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( 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_1387,c_2541]) ).
tcf(c_30997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_1067]) ).
tcf(c_30998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_1036]) ).
tcf(c_30999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),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)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_2397]) ).
tcf(c_31000,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1387,c_993]) ).
tcf(c_31001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_5025]) ).
tcf(c_31002,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_4830]) ).
tcf(c_31003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK1),X5)),sK4(image3(X0,X1,sK1),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1245]) ).
tcf(c_31004,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1011]) ).
tcf(c_31005,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_994]) ).
tcf(c_31006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_5028]) ).
tcf(c_31007,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_4833]) ).
tcf(c_31008,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),sK8(X2,X3,sK4(image3(X0,X1,sK1),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1267]) ).
tcf(c_31009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1023]) ).
tcf(c_31010,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1387,c_995]) ).
tcf(c_31011,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),sK2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1180]) ).
tcf(c_31012,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) = sK4(image3(X0,X1,sK1),X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK2)) ) ),
inference(superposition,[status(thm)],[c_1387,c_1120]) ).
tcf(c_31013,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),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1387,c_1205]) ).
tcf(c_31014,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),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)) )
| ( 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_1387,c_1149]) ).
tcf(c_31015,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK1),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK1,sK1),X1)) )
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1387,c_1593]) ).
tcf(c_31138,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ subset(sK2,sK3)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_30907,c_10651]) ).
tcf(c_31193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK4(X0,X1)),X3)
| ~ subset(sK2,X2)
| ~ subset(X2,X3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_55]) ).
tcf(c_31194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK4(X3,X4))),sK8(sK0,image3(X0,X1,X2),sK4(X3,X4)))
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_65]) ).
tcf(c_31195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_64]) ).
tcf(c_31196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(sK0,image3(X0,X1,X2),sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_63]) ).
tcf(c_31197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK8(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4)),sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4))))
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_69]) ).
tcf(c_31198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4))),X1)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_68]) ).
tcf(c_31199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(sK0,inverse_image3(X0,X1,X2),sK4(X3,X4)),X2)
| ~ member(sK4(X3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7786,c_67]) ).
tcf(c_31211,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_16312]) ).
tcf(c_31212,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_16009]) ).
tcf(c_31213,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_19099]) ).
tcf(c_31214,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_19102]) ).
tcf(c_31215,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_14187]) ).
tcf(c_31216,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_5588]) ).
tcf(c_31217,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_1826]) ).
tcf(c_31218,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_1179]) ).
tcf(c_31219,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_1119]) ).
tcf(c_31220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| apply(sK0,sK8(sK0,X0,sK4(X1,X2)),sK8(sK0,X3,sK8(sK0,X0,sK4(X1,X2))))
| ~ subset(sK2,X3)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_6689]) ).
tcf(c_31221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,X3,sK8(sK0,X0,sK4(X1,X2))),sK8(sK0,X0,sK4(X1,X2)))
| ~ subset(sK2,X0)
| ~ subset(sK1,X3)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_5259]) ).
tcf(c_31222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| member(sK8(sK0,X3,sK8(sK0,X0,sK4(X1,X2))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_6690]) ).
tcf(c_31223,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK4(X1,X2))),sK8(sK0,X0,sK4(X1,X2)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_4256]) ).
tcf(c_31224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| member(sK7(sK0,X3,sK8(sK0,X0,sK4(X1,X2))),X3)
| ~ subset(sK2,X0)
| ~ subset(sK1,X3)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_5260]) ).
tcf(c_31225,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK7(sK0,sK2,sK8(sK0,X0,sK4(X1,X2))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_4257]) ).
tcf(c_31226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK8(sK0,X0,sK4(X1,X2)),sK8(sK0,sK2,sK8(sK0,X0,sK4(X1,X2))))
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_1678]) ).
tcf(c_31227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK4(X1,X2))),sK8(sK0,X0,sK4(X1,X2)))
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_1594]) ).
tcf(c_31228,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK8(sK0,sK2,sK8(sK0,X0,sK4(X1,X2))),sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_1679]) ).
tcf(c_31229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK7(sK0,sK1,sK8(sK0,X0,sK4(X1,X2))),sK1)
| ~ subset(sK2,X0)
| ~ member(sK4(X1,X2),sK1)
| ~ member(sK8(sK0,X0,sK4(X1,X2)),sK2) ),
inference(superposition,[status(thm)],[c_7786,c_1595]) ).
tcf(c_31448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9340,c_55]) ).
tcf(c_31449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(X1,X2,sK8(sK0,X0,sK6(sK0,sK1,X4))),sK8(sK0,X0,sK6(sK0,sK1,X4)))
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_65]) ).
tcf(c_31450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK8(sK0,X0,sK6(sK0,sK1,X4))),X2)
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_64]) ).
tcf(c_31451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X4)),X3)
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_63]) ).
tcf(c_31452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK8(sK0,X0,sK6(sK0,sK1,X4)),sK8(X1,X2,sK8(sK0,X0,sK6(sK0,sK1,X4))))
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_69]) ).
tcf(c_31453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X1,X2,sK8(sK0,X0,sK6(sK0,sK1,X4))),X2)
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_68]) ).
tcf(c_31454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X4)),X3)
| ~ member(X4,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_9340,c_67]) ).
tcf(c_31455,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_16329]) ).
tcf(c_31456,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_16026]) ).
tcf(c_31457,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_19577]) ).
tcf(c_31458,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_14204]) ).
tcf(c_31459,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_13122]) ).
tcf(c_31460,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_3997]) ).
tcf(c_31461,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_5599]) ).
tcf(c_31462,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_3998]) ).
tcf(c_31463,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_1204]) ).
tcf(c_31464,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_1148]) ).
tcf(c_31465,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) = sK8(sK0,X0,sK6(sK0,sK1,X1)) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_1111]) ).
tcf(c_31466,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_16312]) ).
tcf(c_31467,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_16009]) ).
tcf(c_31468,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_19099]) ).
tcf(c_31469,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_19102]) ).
tcf(c_31470,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_14187]) ).
tcf(c_31471,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_5588]) ).
tcf(c_31472,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_1826]) ).
tcf(c_31473,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_1179]) ).
tcf(c_31474,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_1119]) ).
tcf(c_31475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK8(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,X3,sK8(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK2,X3)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_6689]) ).
tcf(c_31476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_5259]) ).
tcf(c_31477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,sK8(sK0,X0,sK6(sK0,sK1,X1))),X3)
| ~ member(X1,sK2)
| ~ subset(sK2,X3)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_6690]) ).
tcf(c_31478,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_4256]) ).
tcf(c_31479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK8(sK0,X0,sK6(sK0,sK1,X1))),X3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_5260]) ).
tcf(c_31480,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_4257]) ).
tcf(c_31481,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,X0,sK6(sK0,sK1,X1)),sK8(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_1678]) ).
tcf(c_31482,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK8(sK0,X0,sK6(sK0,sK1,X1)))
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_1594]) ).
tcf(c_31483,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_1679]) ).
tcf(c_31484,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))),sK1)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_9340,c_1595]) ).
tcf(c_31977,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_4114]) ).
tcf(c_31979,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_4114]) ).
tcf(c_31980,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_4114]) ).
tcf(c_31981,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_4114]) ).
tcf(c_31982,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_4114]) ).
tcf(c_31983,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_4114]) ).
tcf(c_31984,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3584,c_4114]) ).
tcf(c_31985,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_2566,c_4114]) ).
tcf(c_31986,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1911,c_4114]) ).
tcf(c_31988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_4114]) ).
tcf(c_31989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_4114]) ).
tcf(c_31990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_4114]) ).
tcf(c_31991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_4114]) ).
tcf(c_31993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),X3)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_4114]) ).
tcf(c_31994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),X3)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_4114]) ).
tcf(c_31995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ subset(sK1,sK3)
| ~ member(X5,sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_4114]) ).
tcf(c_31996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ subset(sK1,sK3)
| ~ member(X5,sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_4114]) ).
tcf(c_31997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ subset(sK1,sK3)
| ~ member(X5,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_4114]) ).
tcf(c_31998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK1,X5),X4)
| ~ subset(sK1,sK3)
| ~ member(X5,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_4114]) ).
tcf(c_32055,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31982,c_948]) ).
tcf(c_32155,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK8(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_24237,c_24240]) ).
tcf(c_32158,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK4(sK2,X0)) = sK8(sK0,sK2,sK4(sK2,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_24240]) ).
tcf(c_32159,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK4(sK2,X0)) = sK8(sK0,sK2,sK4(sK2,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) ) ),
inference(superposition,[status(thm)],[c_1118,c_24240]) ).
tcf(c_32162,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_1911,c_24240]) ).
tcf(c_32164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) = sK4(image3(X0,X1,sK2),sK1) ) ),
inference(superposition,[status(thm)],[c_1385,c_24240]) ).
tcf(c_32165,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK1))) ) ),
inference(superposition,[status(thm)],[c_1384,c_24240]) ).
tcf(c_32204,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_32162,c_4114]) ).
tcf(c_32205,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_32162,c_3710]) ).
tcf(c_32206,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_32162,c_3604]) ).
tcf(c_32207,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(superposition,[status(thm)],[c_32162,c_2541]) ).
tcf(c_32208,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_32162,c_1067]) ).
tcf(c_32209,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_32162,c_1036]) ).
tcf(c_32210,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_2397]) ).
tcf(c_32211,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_32162,c_993]) ).
tcf(c_32212,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_32162,c_16955]) ).
tcf(c_32213,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_4974]) ).
tcf(c_32214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_5025]) ).
tcf(c_32215,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_4830]) ).
tcf(c_32216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1245]) ).
tcf(c_32217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1011]) ).
tcf(c_32218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_994]) ).
tcf(c_32219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_5028]) ).
tcf(c_32220,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_4833]) ).
tcf(c_32221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1267]) ).
tcf(c_32222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1023]) ).
tcf(c_32223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_32162,c_995]) ).
tcf(c_32224,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,sK2)) = sK8(sK0,sK2,sK4(sK3,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1180]) ).
tcf(c_32225,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,sK2)) = sK8(sK0,sK2,sK4(sK3,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_32162,c_1120]) ).
tcf(c_32226,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,sK1)) = sK8(sK0,sK2,sK4(sK3,sK1)) )
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_32162,c_24240]) ).
tcf(c_32227,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,sK1)) = sK8(sK0,sK2,sK4(sK3,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_32162,c_1205]) ).
tcf(c_32228,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,sK1)) = sK8(sK0,sK2,sK4(sK3,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_32162,c_1149]) ).
tcf(c_32478,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_16596]) ).
tcf(c_32479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_16596]) ).
tcf(c_32480,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_16596]) ).
tcf(c_32481,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_16596]) ).
tcf(c_32482,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_16596]) ).
tcf(c_32484,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_16596]) ).
tcf(c_32485,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_16596]) ).
tcf(c_32486,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_16596]) ).
tcf(c_32487,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_16596]) ).
tcf(c_32488,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_16596]) ).
tcf(c_32489,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_16596]) ).
tcf(c_32490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_16596]) ).
tcf(c_32491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_16596]) ).
tcf(c_32492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_16596]) ).
tcf(c_32493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_16596]) ).
tcf(c_32494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_16596]) ).
tcf(c_32495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_16596]) ).
tcf(c_32496,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_16596]) ).
tcf(c_32497,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_16596]) ).
tcf(c_32498,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_16596]) ).
tcf(c_32499,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_16596]) ).
tcf(c_32500,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_16596]) ).
tcf(c_32501,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_16596]) ).
tcf(c_32502,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_16596]) ).
tcf(c_32503,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_16596]) ).
tcf(c_32504,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_16596]) ).
tcf(c_32505,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_16596]) ).
tcf(c_32507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_16596]) ).
tcf(c_32508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_16596]) ).
tcf(c_32509,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_16596]) ).
tcf(c_32512,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_16596]) ).
tcf(c_32513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_16596]) ).
tcf(c_32514,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_16596]) ).
tcf(c_32515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_16596]) ).
tcf(c_32516,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_16596]) ).
tcf(c_32518,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_16596]) ).
tcf(c_32519,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_16596]) ).
tcf(c_32520,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_16596]) ).
tcf(c_32521,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_16596]) ).
tcf(c_32522,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_16596]) ).
tcf(c_32523,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_16596]) ).
tcf(c_32524,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_16596]) ).
tcf(c_32525,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_16596]) ).
tcf(c_32526,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_16596]) ).
tcf(c_32527,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_16596]) ).
tcf(c_32528,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_16596]) ).
tcf(c_32529,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_16596]) ).
tcf(c_32530,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_16596]) ).
tcf(c_32531,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_16596]) ).
tcf(c_32532,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_16596]) ).
tcf(c_32533,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_16596]) ).
tcf(c_32534,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_16596]) ).
tcf(c_32535,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_16596]) ).
tcf(c_32537,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_16596]) ).
tcf(c_32538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_16596]) ).
tcf(c_32539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_16596]) ).
tcf(c_32540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_16596]) ).
tcf(c_32541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_16596]) ).
tcf(c_32555,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32500,c_948]) ).
tcf(c_32901,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_17745]) ).
tcf(c_32902,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_17745]) ).
tcf(c_32903,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_17745]) ).
tcf(c_32904,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_17745]) ).
tcf(c_32905,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_17745]) ).
tcf(c_32907,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_17745]) ).
tcf(c_32908,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_17745]) ).
tcf(c_32909,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_17745]) ).
tcf(c_32910,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_17745]) ).
tcf(c_32911,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_17745]) ).
tcf(c_32912,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_17745]) ).
tcf(c_32913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_17745]) ).
tcf(c_32914,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_17745]) ).
tcf(c_32915,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_17745]) ).
tcf(c_32916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_17745]) ).
tcf(c_32917,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_17745]) ).
tcf(c_32918,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_17745]) ).
tcf(c_32919,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_17745]) ).
tcf(c_32920,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_17745]) ).
tcf(c_32922,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_17745]) ).
tcf(c_32923,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_17745]) ).
tcf(c_32924,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_17745]) ).
tcf(c_32925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_17745]) ).
tcf(c_32926,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_17745]) ).
tcf(c_32927,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_17745]) ).
tcf(c_32928,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_17745]) ).
tcf(c_32929,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_17745]) ).
tcf(c_32930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_17745]) ).
tcf(c_32931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_17745]) ).
tcf(c_32933,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_17745]) ).
tcf(c_32935,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_17745]) ).
tcf(c_32937,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_17745]) ).
tcf(c_32938,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_17745]) ).
tcf(c_32939,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_17745]) ).
tcf(c_32940,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_17745]) ).
tcf(c_32941,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_17745]) ).
tcf(c_32942,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_17745]) ).
tcf(c_32943,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_17745]) ).
tcf(c_32944,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_17745]) ).
tcf(c_32945,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_17745]) ).
tcf(c_32946,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_17745]) ).
tcf(c_32947,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_17745]) ).
tcf(c_32948,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_17745]) ).
tcf(c_32949,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_17745]) ).
tcf(c_32950,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_17745]) ).
tcf(c_32951,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_17745]) ).
tcf(c_32952,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_17745]) ).
tcf(c_32953,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_17745]) ).
tcf(c_32954,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_17745]) ).
tcf(c_32955,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_17745]) ).
tcf(c_32956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_17745]) ).
tcf(c_32957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_17745]) ).
tcf(c_32958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_17745]) ).
tcf(c_32959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_17745]) ).
tcf(c_33378,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_17762]) ).
tcf(c_33379,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_17762]) ).
tcf(c_33380,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_17762]) ).
tcf(c_33381,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_17762]) ).
tcf(c_33382,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_17762]) ).
tcf(c_33384,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_17762]) ).
tcf(c_33385,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_17762]) ).
tcf(c_33386,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_17762]) ).
tcf(c_33387,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_17762]) ).
tcf(c_33388,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_17762]) ).
tcf(c_33389,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_17762]) ).
tcf(c_33390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_17762]) ).
tcf(c_33391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_17762]) ).
tcf(c_33392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_17762]) ).
tcf(c_33393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_17762]) ).
tcf(c_33394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_17762]) ).
tcf(c_33395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_17762]) ).
tcf(c_33396,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_17762]) ).
tcf(c_33397,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_17762]) ).
tcf(c_33398,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_17762]) ).
tcf(c_33399,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_17762]) ).
tcf(c_33400,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_17762]) ).
tcf(c_33401,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_17762]) ).
tcf(c_33402,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_17762]) ).
tcf(c_33403,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_17762]) ).
tcf(c_33404,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_17762]) ).
tcf(c_33405,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_17762]) ).
tcf(c_33407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_17762]) ).
tcf(c_33408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_17762]) ).
tcf(c_33409,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_17762]) ).
tcf(c_33412,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_17762]) ).
tcf(c_33413,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_17762]) ).
tcf(c_33414,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_17762]) ).
tcf(c_33415,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_17762]) ).
tcf(c_33416,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_17762]) ).
tcf(c_33418,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_17762]) ).
tcf(c_33419,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_17762]) ).
tcf(c_33420,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_17762]) ).
tcf(c_33421,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_17762]) ).
tcf(c_33422,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_17762]) ).
tcf(c_33423,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_17762]) ).
tcf(c_33424,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_17762]) ).
tcf(c_33425,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_17762]) ).
tcf(c_33426,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_17762]) ).
tcf(c_33427,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_17762]) ).
tcf(c_33428,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_17762]) ).
tcf(c_33429,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_17762]) ).
tcf(c_33430,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_17762]) ).
tcf(c_33431,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_17762]) ).
tcf(c_33432,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_17762]) ).
tcf(c_33433,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_17762]) ).
tcf(c_33434,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_17762]) ).
tcf(c_33435,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_17762]) ).
tcf(c_33437,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_17762]) ).
tcf(c_33438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_17762]) ).
tcf(c_33439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_17762]) ).
tcf(c_33440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_17762]) ).
tcf(c_33441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_17762]) ).
tcf(c_33455,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33400,c_948]) ).
tcf(c_33796,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_19098]) ).
tcf(c_33797,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_19098]) ).
tcf(c_33798,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_19098]) ).
tcf(c_33799,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_19098]) ).
tcf(c_33800,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_19098]) ).
tcf(c_33802,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_19098]) ).
tcf(c_33803,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_19098]) ).
tcf(c_33804,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_19098]) ).
tcf(c_33805,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_19098]) ).
tcf(c_33806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_19098]) ).
tcf(c_33807,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_19098]) ).
tcf(c_33808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_19098]) ).
tcf(c_33809,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_19098]) ).
tcf(c_33810,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_19098]) ).
tcf(c_33811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_19098]) ).
tcf(c_33812,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_19098]) ).
tcf(c_33813,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_19098]) ).
tcf(c_33814,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_19098]) ).
tcf(c_33815,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_19098]) ).
tcf(c_33817,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_19098]) ).
tcf(c_33818,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_19098]) ).
tcf(c_33819,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_19098]) ).
tcf(c_33820,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_19098]) ).
tcf(c_33821,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_19098]) ).
tcf(c_33822,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_19098]) ).
tcf(c_33823,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_19098]) ).
tcf(c_33824,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_19098]) ).
tcf(c_33825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_19098]) ).
tcf(c_33826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_19098]) ).
tcf(c_33828,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_19098]) ).
tcf(c_33830,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_19098]) ).
tcf(c_33832,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_19098]) ).
tcf(c_33833,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_19098]) ).
tcf(c_33834,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_19098]) ).
tcf(c_33835,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_19098]) ).
tcf(c_33836,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_19098]) ).
tcf(c_33837,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_19098]) ).
tcf(c_33838,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_19098]) ).
tcf(c_33839,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_19098]) ).
tcf(c_33840,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_19098]) ).
tcf(c_33841,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_19098]) ).
tcf(c_33842,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_19098]) ).
tcf(c_33843,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_19098]) ).
tcf(c_33844,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_19098]) ).
tcf(c_33845,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_19098]) ).
tcf(c_33846,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_19098]) ).
tcf(c_33847,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_19098]) ).
tcf(c_33848,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_19098]) ).
tcf(c_33849,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_19098]) ).
tcf(c_33850,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_19098]) ).
tcf(c_33851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_19098]) ).
tcf(c_33852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_19098]) ).
tcf(c_33853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_19098]) ).
tcf(c_33854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_19098]) ).
tcf(c_34210,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_19101]) ).
tcf(c_34211,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_19101]) ).
tcf(c_34212,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_19101]) ).
tcf(c_34213,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_19101]) ).
tcf(c_34214,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_19101]) ).
tcf(c_34216,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_19101]) ).
tcf(c_34217,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_19101]) ).
tcf(c_34218,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_19101]) ).
tcf(c_34219,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_19101]) ).
tcf(c_34220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_19101]) ).
tcf(c_34221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_19101]) ).
tcf(c_34222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_19101]) ).
tcf(c_34223,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_19101]) ).
tcf(c_34224,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_19101]) ).
tcf(c_34225,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_19101]) ).
tcf(c_34226,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_19101]) ).
tcf(c_34227,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_19101]) ).
tcf(c_34228,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_19101]) ).
tcf(c_34229,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_19101]) ).
tcf(c_34231,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_19101]) ).
tcf(c_34232,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_19101]) ).
tcf(c_34233,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_19101]) ).
tcf(c_34234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_19101]) ).
tcf(c_34235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_19101]) ).
tcf(c_34236,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_19101]) ).
tcf(c_34237,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_19101]) ).
tcf(c_34238,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_19101]) ).
tcf(c_34239,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(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_19101]) ).
tcf(c_34240,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_19101]) ).
tcf(c_34242,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_19101]) ).
tcf(c_34244,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_19101]) ).
tcf(c_34246,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_19101]) ).
tcf(c_34247,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_19101]) ).
tcf(c_34248,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_19101]) ).
tcf(c_34249,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_19101]) ).
tcf(c_34250,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_19101]) ).
tcf(c_34251,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_19101]) ).
tcf(c_34252,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_19101]) ).
tcf(c_34253,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_19101]) ).
tcf(c_34254,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_19101]) ).
tcf(c_34255,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_19101]) ).
tcf(c_34256,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_19101]) ).
tcf(c_34257,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_19101]) ).
tcf(c_34258,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_19101]) ).
tcf(c_34259,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_19101]) ).
tcf(c_34260,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_19101]) ).
tcf(c_34261,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_19101]) ).
tcf(c_34262,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_19101]) ).
tcf(c_34263,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_19101]) ).
tcf(c_34264,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_19101]) ).
tcf(c_34265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_19101]) ).
tcf(c_34266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_19101]) ).
tcf(c_34267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_19101]) ).
tcf(c_34268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_19101]) ).
tcf(c_34592,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ subset(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_31138,c_4346]) ).
tcf(c_34600,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34592,c_55]) ).
tcf(c_34698,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_21013]) ).
tcf(c_34699,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_21013]) ).
tcf(c_34700,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_21013]) ).
tcf(c_34701,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_21013]) ).
tcf(c_34702,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_21013]) ).
tcf(c_34704,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_21013]) ).
tcf(c_34705,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_21013]) ).
tcf(c_34706,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_21013]) ).
tcf(c_34707,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_21013]) ).
tcf(c_34708,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_21013]) ).
tcf(c_34709,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_21013]) ).
tcf(c_34710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_21013]) ).
tcf(c_34711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_21013]) ).
tcf(c_34712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_21013]) ).
tcf(c_34713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_21013]) ).
tcf(c_34714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_21013]) ).
tcf(c_34715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_21013]) ).
tcf(c_34716,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_21013]) ).
tcf(c_34717,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_21013]) ).
tcf(c_34718,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_21013]) ).
tcf(c_34719,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_21013]) ).
tcf(c_34720,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_21013]) ).
tcf(c_34721,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_21013]) ).
tcf(c_34722,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_21013]) ).
tcf(c_34723,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_21013]) ).
tcf(c_34724,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_21013]) ).
tcf(c_34725,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_7604,c_21013]) ).
tcf(c_34727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_21013]) ).
tcf(c_34728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_21013]) ).
tcf(c_34729,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_21013]) ).
tcf(c_34732,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_21013]) ).
tcf(c_34733,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_21013]) ).
tcf(c_34734,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_21013]) ).
tcf(c_34735,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_21013]) ).
tcf(c_34736,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_21013]) ).
tcf(c_34738,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_21013]) ).
tcf(c_34739,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_21013]) ).
tcf(c_34740,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_21013]) ).
tcf(c_34741,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_21013]) ).
tcf(c_34742,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_21013]) ).
tcf(c_34743,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_21013]) ).
tcf(c_34744,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_21013]) ).
tcf(c_34745,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_21013]) ).
tcf(c_34746,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_21013]) ).
tcf(c_34747,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_21013]) ).
tcf(c_34748,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_21013]) ).
tcf(c_34749,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_21013]) ).
tcf(c_34750,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_21013]) ).
tcf(c_34751,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_21013]) ).
tcf(c_34752,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_21013]) ).
tcf(c_34753,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_21013]) ).
tcf(c_34754,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_21013]) ).
tcf(c_34755,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_21013]) ).
tcf(c_34757,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_21013]) ).
tcf(c_34758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_21013]) ).
tcf(c_34759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_21013]) ).
tcf(c_34760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_21013]) ).
tcf(c_34761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_21013]) ).
tcf(c_34775,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34720,c_948]) ).
tcf(c_35109,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_23012]) ).
tcf(c_35110,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_22911]) ).
tcf(c_35111,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_19000]) ).
tcf(c_35112,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_20064]) ).
tcf(c_35113,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_19900]) ).
tcf(c_35114,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_18992]) ).
tcf(c_35115,plain,
! [X0: $i] :
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_8812]) ).
tcf(c_35116,plain,
( apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_12007]) ).
tcf(c_35117,plain,
! [X0: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_4065]) ).
tcf(c_35118,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_7788]) ).
tcf(c_35119,plain,
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_6908]) ).
tcf(c_35120,plain,
( apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_2271]) ).
tcf(c_35121,plain,
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_4535]) ).
tcf(c_35122,plain,
( member(sK8(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_2041]) ).
tcf(c_35123,plain,
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_3258]) ).
tcf(c_35124,plain,
! [X0: $i,X1: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_32212,c_1299]) ).
tcf(c_35125,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_32212,c_1319]) ).
tcf(c_35126,plain,
( apply(sK0,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_353]) ).
tcf(c_35127,plain,
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_362]) ).
tcf(c_35128,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_28808]) ).
tcf(c_35129,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_28733]) ).
tcf(c_35130,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_6917]) ).
tcf(c_35131,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_19910]) ).
tcf(c_35132,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_20729]) ).
tcf(c_35133,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_20455]) ).
tcf(c_35134,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_19094]) ).
tcf(c_35135,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_12939]) ).
tcf(c_35136,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_7381]) ).
tcf(c_35137,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_3265]) ).
tcf(c_35138,plain,
! [X0: $i] :
( member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_974]) ).
tcf(c_35139,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_7389]) ).
tcf(c_35675,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK2,sK2),X1))) = sK4(image3(sK0,sK2,sK2),X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1385,c_4255]) ).
tcf(c_35676,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK2,sK2),X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,sK2,sK2),X1))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1384,c_4255]) ).
tcf(c_35677,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK1),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK2,sK1),X1)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1387,c_4255]) ).
tcf(c_35678,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK1),X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK1),X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1386,c_4255]) ).
tcf(c_35679,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_4255]) ).
tcf(c_35680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12311,c_4255]) ).
tcf(c_35681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12517,c_4255]) ).
tcf(c_35725,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) ),
inference(superposition,[status(thm)],[c_52,c_4827]) ).
tcf(c_35727,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(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_4827]) ).
tcf(c_35728,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_4827]) ).
tcf(c_35729,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_4827]) ).
tcf(c_35730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK2),X4)
| member(sK4(image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_4827]) ).
tcf(c_35731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK2),X4)
| member(sK4(image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_4827]) ).
tcf(c_35732,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)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_32162,c_4827]) ).
tcf(c_35733,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3584,c_4827]) ).
tcf(c_35734,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2566,c_4827]) ).
tcf(c_35735,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1911,c_4827]) ).
tcf(c_35737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK2)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) = sK4(image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1385,c_4827]) ).
tcf(c_35738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK2)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1384,c_4827]) ).
tcf(c_35739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK1)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK1)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1387,c_4827]) ).
tcf(c_35740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK1)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK1)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1386,c_4827]) ).
tcf(c_35742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,image3(X5,X6,X0)),X7)
| member(sK4(image3(X3,X4,image3(X5,X6,X0)),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_4827]) ).
tcf(c_35743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,inverse_image3(X5,X6,X0)),X7)
| member(sK4(image3(X3,X4,inverse_image3(X5,X6,X0)),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5021,c_4827]) ).
tcf(c_35744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X6,X7,X0))),X8)
| member(sK4(image3(X2,X3,image3(X4,X5,image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_12311,c_4827]) ).
tcf(c_35745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X0))),X8)
| member(sK4(image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_12517,c_4827]) ).
tcf(c_35746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X0))),X8)
| member(sK4(image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13453,c_4827]) ).
tcf(c_35747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X0))),X8)
| member(sK4(image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13726,c_4827]) ).
tcf(c_35873,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,sK3),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35725,c_53]) ).
tcf(c_35874,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,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35725,c_55]) ).
tcf(c_35875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)),sK4(image3(X3,X4,sK3),X5))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_65]) ).
tcf(c_35876,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,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_64]) ).
tcf(c_35877,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,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_63]) ).
tcf(c_35878,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),sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_69]) ).
tcf(c_35879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_68]) ).
tcf(c_35880,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,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35725,c_67]) ).
tcf(c_35881,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_21013]) ).
tcf(c_35882,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_17762]) ).
tcf(c_35883,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_16596]) ).
tcf(c_35884,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_16329]) ).
tcf(c_35885,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_16026]) ).
tcf(c_35886,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_19577]) ).
tcf(c_35887,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_14204]) ).
tcf(c_35888,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_13122]) ).
tcf(c_35889,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_3997]) ).
tcf(c_35890,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_5599]) ).
tcf(c_35891,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_3998]) ).
tcf(c_35892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_35725,c_1204]) ).
tcf(c_35893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_35725,c_1148]) ).
tcf(c_35894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_35725,c_1111]) ).
tcf(c_35895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_19101]) ).
tcf(c_35896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_19098]) ).
tcf(c_35897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_17745]) ).
tcf(c_35898,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_16312]) ).
tcf(c_35899,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_16009]) ).
tcf(c_35900,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_19099]) ).
tcf(c_35901,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_19102]) ).
tcf(c_35902,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_14187]) ).
tcf(c_35903,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_5588]) ).
tcf(c_35904,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_1826]) ).
tcf(c_35905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_1179]) ).
tcf(c_35906,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_35725,c_1119]) ).
tcf(c_35907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,X4,sK4(image3(X0,X1,sK3),X2)))
| ~ subset(sK2,X4)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_35725,c_6689]) ).
tcf(c_35908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK2,X4)
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_5259]) ).
tcf(c_35909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,X4,sK4(image3(X0,X1,sK3),X2)),X4)
| ~ subset(sK2,X4)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_35725,c_6690]) ).
tcf(c_35910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_4256]) ).
tcf(c_35911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK2,X4)
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_5260]) ).
tcf(c_35912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_4257]) ).
tcf(c_35913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_35725,c_1678]) ).
tcf(c_35914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_1594]) ).
tcf(c_35915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_35725,c_1679]) ).
tcf(c_35916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_35725,c_1595]) ).
tcf(c_35917,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_24229]) ).
tcf(c_35947,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35894,c_948]) ).
tcf(c_35997,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35891,c_948]) ).
tcf(c_36001,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35893,c_948]) ).
tcf(c_36012,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35890,c_948]) ).
tcf(c_36027,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35889,c_948]) ).
tcf(c_36031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35888,c_948]) ).
tcf(c_36035,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35887,c_948]) ).
tcf(c_36039,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35886,c_948]) ).
tcf(c_36043,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35892,c_948]) ).
tcf(c_36066,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35885,c_948]) ).
tcf(c_36070,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35884,c_948]) ).
tcf(c_36074,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35883,c_948]) ).
tcf(c_36078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35882,c_948]) ).
tcf(c_36082,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35881,c_948]) ).
tcf(c_36221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,image3(X4,X5,sK3)),X6)
| member(sK4(image3(X2,X3,image3(X4,X5,sK3)),X6),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35873,c_4827]) ).
tcf(c_36222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_4114]) ).
tcf(c_36223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X3)),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_3710]) ).
tcf(c_36224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_3604]) ).
tcf(c_36225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_2541]) ).
tcf(c_36226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_1067]) ).
tcf(c_36227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),X2)
| ~ member(X3,sK2)
| ~ subset(sK2,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_1036]) ).
tcf(c_36228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_2397]) ).
tcf(c_36230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X3,X4,image3(X5,X6,sK3)),X7)
| member(sK4(inverse_image3(X3,X4,image3(X5,X6,sK3)),X7),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_5025]) ).
tcf(c_36231,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,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_4830]) ).
tcf(c_36235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X3,X4,image3(X5,X6,sK3)),X7)
| member(sK4(inverse_image3(X3,X4,image3(X5,X6,sK3)),X7),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_5028]) ).
tcf(c_36236,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,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_4833]) ).
tcf(c_36245,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_1593]) ).
tcf(c_36246,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_4255]) ).
tcf(c_36568,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ subset(sK2,X0)
| ~ member(X1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_36245,c_2152,c_2396]) ).
tcf(c_36569,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK3)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_36568]) ).
tcf(c_36577,plain,
! [X0: $i] :
( member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_948,c_36569]) ).
tcf(c_36578,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_36569]) ).
tcf(c_36579,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_36569]) ).
tcf(c_36595,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_54,c_36577]) ).
tcf(c_36596,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_954,c_36577]) ).
tcf(c_36597,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_962,c_36577]) ).
tcf(c_36598,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_972,c_36577]) ).
tcf(c_36599,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_36577]) ).
tcf(c_36602,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_36577]) ).
tcf(c_36604,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_1010,c_36577]) ).
tcf(c_36605,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_1022,c_36577]) ).
tcf(c_36606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK4(image3(X1,X2,X0),X3),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1377,c_36577]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK4(image3(X0,X1,image3(X2,X3,sK3)),X4),sK2) ),
inference(superposition,[status(thm)],[c_1380,c_36577]) ).
tcf(c_36608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4),sK2) ),
inference(superposition,[status(thm)],[c_1383,c_36577]) ).
tcf(c_36609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| member(sK4(inverse_image3(X1,X2,X0),X3),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1465,c_36577]) ).
tcf(c_36610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4),sK2) ),
inference(superposition,[status(thm)],[c_1468,c_36577]) ).
tcf(c_36611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4),sK2) ),
inference(superposition,[status(thm)],[c_1471,c_36577]) ).
tcf(c_36613,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(X0,sK3,sK4(sK3,X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK3,X1)))) = sK4(sK3,image3(X0,sK3,X1)) ) ),
inference(superposition,[status(thm)],[c_3828,c_36577]) ).
tcf(c_36614,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_2543,c_36577]) ).
tcf(c_36615,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_2542,c_36577]) ).
tcf(c_36616,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK8(X0,sK3,sK4(sK3,X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK3,X1)))) = sK4(sK3,inverse_image3(X0,sK3,X1)) ) ),
inference(superposition,[status(thm)],[c_3852,c_36577]) ).
tcf(c_36617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| member(sK7(X1,X0,sK4(image3(X1,X0,X2),X3)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2757,c_36577]) ).
tcf(c_36618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| member(sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2875,c_36577]) ).
tcf(c_36619,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_36577]) ).
tcf(c_36620,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK2,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_36577]) ).
tcf(c_36621,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_36577]) ).
tcf(c_36622,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_36577]) ).
tcf(c_36624,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_36577]) ).
tcf(c_36626,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_36577]) ).
tcf(c_36627,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK3,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_36577]) ).
tcf(c_36628,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_36577]) ).
tcf(c_36629,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_36577]) ).
tcf(c_36630,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_36577]) ).
tcf(c_36631,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_36577]) ).
tcf(c_36632,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_36577]) ).
tcf(c_36633,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_7389,c_36577]) ).
tcf(c_36634,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK3,sK4(X0,X1)),sK2)
| ~ subset(sK2,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_36577]) ).
tcf(c_36635,plain,
! [X0: $i] :
( member(sK8(sK0,sK3,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_36577]) ).
tcf(c_36636,plain,
! [X0: $i] :
( member(sK8(sK0,sK3,sK6(sK0,sK1,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_36577]) ).
tcf(c_36637,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_9340,c_36577]) ).
tcf(c_36638,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK3,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_36577]) ).
tcf(c_36639,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_36577]) ).
tcf(c_36640,plain,
! [X0: $i] :
( member(sK8(sK0,sK3,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_36577]) ).
tcf(c_36641,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_36577]) ).
tcf(c_36642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_23803,c_36577]) ).
tcf(c_36643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_23713,c_36577]) ).
tcf(c_36644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_24104,c_36577]) ).
tcf(c_36645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) ) ),
inference(superposition,[status(thm)],[c_23897,c_36577]) ).
tcf(c_36900,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_36595,c_1679]) ).
tcf(c_36901,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1)
| ~ member(sK4(sK3,X0),sK2) ),
inference(superposition,[status(thm)],[c_36595,c_1595]) ).
tcf(c_36920,plain,
! [X0: $i] :
( subset(X0,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_53]) ).
tcf(c_36921,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ~ subset(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_55]) ).
tcf(c_36922,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_21013]) ).
tcf(c_36923,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_17762]) ).
tcf(c_36924,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_16596]) ).
tcf(c_36925,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_16329]) ).
tcf(c_36926,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_16026]) ).
tcf(c_36927,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_19577]) ).
tcf(c_36928,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_14204]) ).
tcf(c_36929,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_13122]) ).
tcf(c_36930,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_3997]) ).
tcf(c_36931,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_5599]) ).
tcf(c_36932,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_3998]) ).
tcf(c_36933,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_1204]) ).
tcf(c_36934,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_1148]) ).
tcf(c_36935,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_1111]) ).
tcf(c_36936,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,X2,sK4(X0,X1)))
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36598,c_6689]) ).
tcf(c_36937,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_5259]) ).
tcf(c_36938,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36598,c_6690]) ).
tcf(c_36939,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_4256]) ).
tcf(c_36940,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_5260]) ).
tcf(c_36941,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_4257]) ).
tcf(c_36942,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36598,c_1678]) ).
tcf(c_36943,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_1594]) ).
tcf(c_36944,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36598,c_1679]) ).
tcf(c_36945,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36598,c_1595]) ).
tcf(c_37180,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35877]) ).
tcf(c_37192,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35880]) ).
tcf(c_37208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_35874]) ).
tcf(c_37209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_35874]) ).
tcf(c_37210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_35874]) ).
tcf(c_37211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_35874]) ).
tcf(c_37212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_35874]) ).
tcf(c_37213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_35874]) ).
tcf(c_37214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_35874]) ).
tcf(c_37216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_35874]) ).
tcf(c_37218,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_35874]) ).
tcf(c_37219,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_35874]) ).
tcf(c_37220,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_35874]) ).
tcf(c_37221,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_35874]) ).
tcf(c_37223,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),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_35874]) ).
tcf(c_37224,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),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_35874]) ).
tcf(c_37225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_35874]) ).
tcf(c_37226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_35874]) ).
tcf(c_37227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_35874]) ).
tcf(c_37228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,sK3),X7)
| member(sK4(image3(X5,X6,sK3),X7),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_35874]) ).
tcf(c_37229,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,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_35874]) ).
tcf(c_37262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37212,c_948]) ).
tcf(c_37278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37211,c_948]) ).
tcf(c_37461,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35876]) ).
tcf(c_37462,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_35876]) ).
tcf(c_37477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35879]) ).
tcf(c_37478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_35879]) ).
tcf(c_37493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)),sK4(image3(X3,X4,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35875]) ).
tcf(c_37494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)),sK4(image3(X3,X4,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_35875]) ).
tcf(c_37509,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),sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35878]) ).
tcf(c_37510,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),sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_35878]) ).
tcf(c_37524,plain,
( subset(sK1,sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) ) ),
inference(superposition,[status(thm)],[c_24237,c_36920]) ).
tcf(c_37525,plain,
( subset(sK1,sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_36920]) ).
tcf(c_37526,plain,
( subset(sK1,sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) ) ),
inference(superposition,[status(thm)],[c_1147,c_36920]) ).
tcf(c_37527,plain,
( subset(sK2,sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) ) ),
inference(superposition,[status(thm)],[c_1178,c_36920]) ).
tcf(c_37528,plain,
( subset(sK2,sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) ) ),
inference(superposition,[status(thm)],[c_1118,c_36920]) ).
tcf(c_37533,plain,
! [X0: $i,X1: $i] : subset(image3(X0,X1,sK3),sK2),
inference(superposition,[status(thm)],[c_1376,c_36920]) ).
tcf(c_37534,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK3))) = sK4(image3(X0,X1,sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_1385,c_36920]) ).
tcf(c_37535,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),sK3))) ) ),
inference(superposition,[status(thm)],[c_1384,c_36920]) ).
tcf(c_37536,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK3)) ) ),
inference(superposition,[status(thm)],[c_1387,c_36920]) ).
tcf(c_37537,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK3)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_36920]) ).
tcf(c_37538,plain,
! [X0: $i,X1: $i] : subset(inverse_image3(X0,X1,sK3),sK2),
inference(superposition,[status(thm)],[c_1464,c_36920]) ).
tcf(c_37539,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,X0),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4826,c_36920]) ).
tcf(c_37540,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X1,X2,X0),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_5021,c_36920]) ).
tcf(c_37541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,image3(X2,X3,sK3)),sK2),
inference(superposition,[status(thm)],[c_12311,c_36920]) ).
tcf(c_37542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,inverse_image3(X2,X3,sK3)),sK2),
inference(superposition,[status(thm)],[c_12517,c_36920]) ).
tcf(c_37543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,image3(X2,X3,sK3)),sK2),
inference(superposition,[status(thm)],[c_13453,c_36920]) ).
tcf(c_37544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),sK2),
inference(superposition,[status(thm)],[c_13726,c_36920]) ).
tcf(c_37757,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_53]) ).
tcf(c_37758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),X1)
| ~ subset(sK2,X0)
| ~ subset(X2,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_36921,c_55]) ).
tcf(c_37759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK4(X3,X4)),sK4(X3,X4))
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_65]) ).
tcf(c_37760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK4(X3,X4)),X1)
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_64]) ).
tcf(c_37761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK4(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_63]) ).
tcf(c_37762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK4(X3,X4),sK8(X0,X1,sK4(X3,X4)))
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_69]) ).
tcf(c_37763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK8(X0,X1,sK4(X3,X4)),X1)
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_68]) ).
tcf(c_37764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK4(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_36921,c_67]) ).
tcf(c_37765,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_21013]) ).
tcf(c_37766,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_17762]) ).
tcf(c_37767,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_16596]) ).
tcf(c_37768,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_16329]) ).
tcf(c_37769,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_16026]) ).
tcf(c_37770,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_19577]) ).
tcf(c_37771,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_14204]) ).
tcf(c_37772,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_13122]) ).
tcf(c_37773,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_3997]) ).
tcf(c_37774,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_5599]) ).
tcf(c_37775,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_3998]) ).
tcf(c_37776,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1204]) ).
tcf(c_37777,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1148]) ).
tcf(c_37778,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1111]) ).
tcf(c_37779,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_19101]) ).
tcf(c_37780,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_19098]) ).
tcf(c_37781,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_17745]) ).
tcf(c_37782,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_16312]) ).
tcf(c_37783,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_16009]) ).
tcf(c_37784,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_19099]) ).
tcf(c_37785,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_19102]) ).
tcf(c_37786,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_14187]) ).
tcf(c_37787,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_5588]) ).
tcf(c_37788,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1826]) ).
tcf(c_37789,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1179]) ).
tcf(c_37790,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(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_1119]) ).
tcf(c_37791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,X3,sK4(X0,X1)))
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36921,c_6689]) ).
tcf(c_37792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_5259]) ).
tcf(c_37793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X3,sK4(X0,X1)),X3)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36921,c_6690]) ).
tcf(c_37794,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_4256]) ).
tcf(c_37795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK2,X3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_5260]) ).
tcf(c_37796,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_4257]) ).
tcf(c_37797,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,sK2,sK4(X0,X1)))
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36921,c_1678]) ).
tcf(c_37798,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK4(X0,X1))
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_1594]) ).
tcf(c_37799,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_36921,c_1679]) ).
tcf(c_37800,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_36921,c_1595]) ).
tcf(c_37801,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_36577]) ).
tcf(c_37802,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_24229]) ).
tcf(c_38084,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37757]) ).
tcf(c_38085,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37757]) ).
tcf(c_38100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37761]) ).
tcf(c_38101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37761]) ).
tcf(c_38118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37764]) ).
tcf(c_38119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37764]) ).
tcf(c_38128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_35874]) ).
tcf(c_38129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,sK3)),X5)
| member(sK4(image3(X1,X2,image3(X3,X4,sK3)),X5),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37533,c_4827]) ).
tcf(c_38130,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_4114]) ).
tcf(c_38131,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_3710]) ).
tcf(c_38132,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_3604]) ).
tcf(c_38134,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),sK2)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_1067]) ).
tcf(c_38135,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_1036]) ).
tcf(c_38136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_2397]) ).
tcf(c_38251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_35874]) ).
tcf(c_38252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,inverse_image3(X3,X4,sK3)),X5)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,sK3)),X5),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37538,c_4827]) ).
tcf(c_38253,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_4114]) ).
tcf(c_38254,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_3710]) ).
tcf(c_38255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_3604]) ).
tcf(c_38257,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),sK2)
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_1067]) ).
tcf(c_38258,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ member(X2,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_1036]) ).
tcf(c_38259,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_2397]) ).
tcf(c_38260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37538,c_993]) ).
tcf(c_38261,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_37538,c_1180]) ).
tcf(c_38262,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_37538,c_1120]) ).
tcf(c_38263,plain,
! [X0: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_37538,c_1677]) ).
tcf(c_38306,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),sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_35874]) ).
tcf(c_38307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X1,X2,image3(X3,X4,image3(X5,X6,sK3))),X7)
| member(sK4(image3(X1,X2,image3(X3,X4,image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37541,c_4827]) ).
tcf(c_38308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_4114]) ).
tcf(c_38309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),sK2)
| ~ member(X4,sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_3710]) ).
tcf(c_38310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),sK2)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_3604]) ).
tcf(c_38311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37541,c_2541]) ).
tcf(c_38312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),sK2)
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_1067]) ).
tcf(c_38313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ member(X4,sK2)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_1036]) ).
tcf(c_38314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_2397]) ).
tcf(c_38316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK3)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK3)),X4))) ) ),
inference(superposition,[status(thm)],[c_37541,c_1180]) ).
tcf(c_38317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK3)),X4))) = sK4(image3(X0,X1,image3(X2,X3,sK3)),X4) ) ),
inference(superposition,[status(thm)],[c_37541,c_1120]) ).
tcf(c_38357,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),sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_35874]) ).
tcf(c_38358,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(X5,X6,sK3))),X7)
| member(sK4(image3(X1,X2,image3(X3,X4,inverse_image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37542,c_4827]) ).
tcf(c_38359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_4114]) ).
tcf(c_38360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),sK2)
| ~ member(X4,sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_3710]) ).
tcf(c_38361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),sK2)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_3604]) ).
tcf(c_38362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37542,c_2541]) ).
tcf(c_38363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),sK2)
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_1067]) ).
tcf(c_38364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ member(X4,sK2)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_1036]) ).
tcf(c_38365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_2397]) ).
tcf(c_38367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))) ) ),
inference(superposition,[status(thm)],[c_37542,c_1180]) ).
tcf(c_38368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))) = sK4(image3(X0,X1,inverse_image3(X2,X3,sK3)),X4) ) ),
inference(superposition,[status(thm)],[c_37542,c_1120]) ).
tcf(c_38528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1)
| ~ subset(sK2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35916,c_35916,c_36596]) ).
tcf(c_38529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK7(sK0,sK1,sK4(image3(X1,X2,sK3),X3)),sK1)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_38528]) ).
tcf(c_38536,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1) ),
inference(superposition,[status(thm)],[c_948,c_38529]) ).
tcf(c_38550,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)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_35874]) ).
tcf(c_38551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) = sK8(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35917,c_4827]) ).
tcf(c_38552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_4114]) ).
tcf(c_38553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_3710]) ).
tcf(c_38554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_3604]) ).
tcf(c_38555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_2541]) ).
tcf(c_38556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_1067]) ).
tcf(c_38557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_1036]) ).
tcf(c_38558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_2397]) ).
tcf(c_38559,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)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) = sK8(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35917,c_993]) ).
tcf(c_38560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_5025]) ).
tcf(c_38561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_4830]) ).
tcf(c_38562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1245]) ).
tcf(c_38563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1011]) ).
tcf(c_38564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_994]) ).
tcf(c_38565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_5028]) ).
tcf(c_38566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_4833]) ).
tcf(c_38567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1267]) ).
tcf(c_38568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1023]) ).
tcf(c_38569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_995]) ).
tcf(c_38570,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1180]) ).
tcf(c_38571,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1120]) ).
tcf(c_38572,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_24240]) ).
tcf(c_38573,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_1205]) ).
tcf(c_38574,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( 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_35917,c_1149]) ).
tcf(c_38576,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)) = sK8(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35917,c_1593]) ).
tcf(c_38577,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)) = sK8(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35917,c_4255]) ).
tcf(c_38811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_948,c_35735]) ).
tcf(c_38812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_24237,c_35735]) ).
tcf(c_38813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_35735]) ).
tcf(c_38814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_1147,c_35735]) ).
tcf(c_38815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1178,c_35735]) ).
tcf(c_38816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_1118,c_35735]) ).
tcf(c_38817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(superposition,[status(thm)],[c_32162,c_35735]) ).
tcf(c_38818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_3584,c_35735]) ).
tcf(c_38819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_2566,c_35735]) ).
tcf(c_38820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_1911,c_35735]) ).
tcf(c_38822,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1385,c_35735]) ).
tcf(c_38823,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1384,c_35735]) ).
tcf(c_38824,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( 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_1387,c_35735]) ).
tcf(c_38825,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_35735]) ).
tcf(c_38833,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)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_35735]) ).
tcf(c_38834,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),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_35735]) ).
tcf(c_38837,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37541,c_35735]) ).
tcf(c_38838,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37542,c_35735]) ).
tcf(c_39119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK2,X4)
| ~ subset(sK1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35911,c_35911,c_36596]) ).
tcf(c_39120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK7(sK0,X0,sK4(image3(X2,X3,sK3),X4)),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_39119]) ).
tcf(c_39130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK7(sK0,X0,sK4(image3(X1,X2,sK3),X3)),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_948,c_39120]) ).
tcf(c_39140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35912,c_35912,c_36596]) ).
tcf(c_39141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK7(sK0,sK2,sK4(image3(X1,X2,sK3),X3)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_39140]) ).
tcf(c_39151,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_948,c_39141]) ).
tcf(c_39167,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( 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_35906,c_35735]) ).
tcf(c_39168,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)
| ( 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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_35874]) ).
tcf(c_39169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35906,c_4827]) ).
tcf(c_39170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_4114]) ).
tcf(c_39171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_3710]) ).
tcf(c_39172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_3604]) ).
tcf(c_39173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( 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_35906,c_2541]) ).
tcf(c_39174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_1067]) ).
tcf(c_39175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_1036]) ).
tcf(c_39176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_2397]) ).
tcf(c_39177,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35906,c_993]) ).
tcf(c_39178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_5025]) ).
tcf(c_39179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_4830]) ).
tcf(c_39180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1245]) ).
tcf(c_39181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1011]) ).
tcf(c_39182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_994]) ).
tcf(c_39183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_5028]) ).
tcf(c_39184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_4833]) ).
tcf(c_39185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1267]) ).
tcf(c_39186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1023]) ).
tcf(c_39187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_995]) ).
tcf(c_39188,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),sK2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1180]) ).
tcf(c_39190,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_24240]) ).
tcf(c_39191,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),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35906,c_1205]) ).
tcf(c_39192,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),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( 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_35906,c_1149]) ).
tcf(c_39194,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35906,c_1593]) ).
tcf(c_39195,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35906,c_4255]) ).
tcf(c_39443,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X0)))) = sK4(sK3,image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_35735]) ).
tcf(c_39444,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),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_35874]) ).
tcf(c_39445,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_4827]) ).
tcf(c_39446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_4114]) ).
tcf(c_39447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X3)),sK2)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_3710]) ).
tcf(c_39448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),sK2)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_3604]) ).
tcf(c_39449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X0)))) = sK4(sK3,image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_2541]) ).
tcf(c_39450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),sK2)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_1067]) ).
tcf(c_39451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),sK2)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_1036]) ).
tcf(c_39452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_2397]) ).
tcf(c_39453,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_993]) ).
tcf(c_39454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_1180]) ).
tcf(c_39455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) = sK4(image3(X1,X2,X0),X3) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_1120]) ).
tcf(c_39630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK8(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_37758]) ).
tcf(c_39631,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_37758]) ).
tcf(c_39632,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X1)))) = sK5(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_37758]) ).
tcf(c_39633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37758]) ).
tcf(c_39634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37758]) ).
tcf(c_39635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK4(sK3,X1)) = sK8(sK0,sK2,sK4(sK3,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_37758]) ).
tcf(c_39636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X1)))) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_37758]) ).
tcf(c_39638,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_37758]) ).
tcf(c_39640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) = sK4(image3(X0,X1,sK2),X3) )
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_37758]) ).
tcf(c_39641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X3))) )
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_37758]) ).
tcf(c_39642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_37758]) ).
tcf(c_39643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)))) )
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_37758]) ).
tcf(c_39645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_37758]) ).
tcf(c_39646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_37758]) ).
tcf(c_39647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK4(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_37758]) ).
tcf(c_39648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK4(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_37758]) ).
tcf(c_39649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK4(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_37758]) ).
tcf(c_39650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK4(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_37758]) ).
tcf(c_39651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_37758]) ).
tcf(c_39652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_37758]) ).
tcf(c_39653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ~ subset(sK2,X3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_37758]) ).
tcf(c_39654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_37758]) ).
tcf(c_39655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_37758]) ).
tcf(c_39656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK4(X3,X4),sK2)
| ~ subset(X3,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_37758]) ).
tcf(c_39657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),sK2)
| ~ subset(X4,sK3)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_37758]) ).
tcf(c_39658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),sK2)
| ~ subset(X4,sK3)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_37758]) ).
tcf(c_39721,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39634,c_948]) ).
tcf(c_39741,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) )
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39633,c_948]) ).
tcf(c_39800,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(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_5022]) ).
tcf(c_39801,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_5022]) ).
tcf(c_39802,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_5022]) ).
tcf(c_39803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK2),X4)
| member(sK4(inverse_image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_5022]) ).
tcf(c_39804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK2),X4)
| member(sK4(inverse_image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_5022]) ).
tcf(c_39805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_32162,c_5022]) ).
tcf(c_39806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3584,c_5022]) ).
tcf(c_39807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2566,c_5022]) ).
tcf(c_39808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1911,c_5022]) ).
tcf(c_39810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK2)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) = sK4(image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1385,c_5022]) ).
tcf(c_39811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK2)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1384,c_5022]) ).
tcf(c_39812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK1)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK1)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1387,c_5022]) ).
tcf(c_39813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK1)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK1)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1386,c_5022]) ).
tcf(c_39815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X3,X4,image3(X5,X6,X0)),X7)
| member(sK4(inverse_image3(X3,X4,image3(X5,X6,X0)),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_5022]) ).
tcf(c_39816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X3,X4,inverse_image3(X5,X6,X0)),X7)
| member(sK4(inverse_image3(X3,X4,inverse_image3(X5,X6,X0)),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5021,c_5022]) ).
tcf(c_39817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X0))),X8)
| member(sK4(inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_12311,c_5022]) ).
tcf(c_39818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X0))),X8)
| member(sK4(inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_12517,c_5022]) ).
tcf(c_39819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X0))),X8)
| member(sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13453,c_5022]) ).
tcf(c_39820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X0))),X8)
| member(sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13726,c_5022]) ).
tcf(c_39821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35906,c_5022]) ).
tcf(c_39822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) = sK8(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35917,c_5022]) ).
tcf(c_39823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,sK3)),X6)
| member(sK4(inverse_image3(X2,X3,image3(X4,X5,sK3)),X6),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35873,c_5022]) ).
tcf(c_39824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,image3(X3,X4,sK3)),X5)
| member(sK4(inverse_image3(X1,X2,image3(X3,X4,sK3)),X5),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37533,c_5022]) ).
tcf(c_39825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X3,X4,sK3)),X5)
| member(sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,sK3)),X5),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37538,c_5022]) ).
tcf(c_39826,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_5022]) ).
tcf(c_39827,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,image3(X5,X6,sK3))),X7)
| member(sK4(inverse_image3(X1,X2,image3(X3,X4,image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37541,c_5022]) ).
tcf(c_39828,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(X5,X6,sK3))),X7)
| member(sK4(inverse_image3(X1,X2,image3(X3,X4,inverse_image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37542,c_5022]) ).
tcf(c_40033,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,X0,sK2),X2))) = sK4(image3(sK0,X0,sK2),X2) )
| ~ member(X1,sK2)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1385,c_5258]) ).
tcf(c_40034,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,X0,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,X0,sK2),X2))) )
| ~ member(X1,sK2)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1384,c_5258]) ).
tcf(c_40035,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK1),X2)))) = sK5(sK0,sK2,sK4(image3(sK0,X0,sK1),X2)) )
| ~ member(X1,sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1387,c_5258]) ).
tcf(c_40036,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK1),X2)))) )
| ~ member(X1,sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1386,c_5258]) ).
tcf(c_40037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,X1)
| ~ member(X2,sK2)
| ~ subset(sK1,X3)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4826,c_5258]) ).
tcf(c_40038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,sK2)
| ~ subset(sK1,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12311,c_5258]) ).
tcf(c_40039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,sK2)
| ~ subset(sK1,X4)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_12517,c_5258]) ).
tcf(c_40040,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_35906,c_5258]) ).
tcf(c_40041,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)) = sK8(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_35917,c_5258]) ).
tcf(c_40042,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK2)
| ~ member(X2,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_35873,c_5258]) ).
tcf(c_40154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X3)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5021,c_6688]) ).
tcf(c_40155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,sK1)
| ~ subset(sK2,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13453,c_6688]) ).
tcf(c_40156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,sK1)
| ~ subset(sK2,X4)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13726,c_6688]) ).
tcf(c_40157,plain,
! [X0: $i,X1: $i] :
( member(X1,sK2)
| ~ member(X1,sK1)
| ~ member(X1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37538,c_6688]) ).
tcf(c_40245,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,image3(X5,X6,sK3))),X7)
| member(sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37543,c_5022]) ).
tcf(c_40246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),sK2)
| ~ subset(X4,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_37758]) ).
tcf(c_40247,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37543,c_35735]) ).
tcf(c_40248,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),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_35874]) ).
tcf(c_40249,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,image3(X5,X6,sK3))),X7)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37543,c_4827]) ).
tcf(c_40250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_4114]) ).
tcf(c_40251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),sK2)
| ~ member(X4,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_3710]) ).
tcf(c_40252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),sK2)
| ~ member(X4,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_3604]) ).
tcf(c_40253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37543,c_2541]) ).
tcf(c_40254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),sK2)
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_1067]) ).
tcf(c_40255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ member(X4,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_1036]) ).
tcf(c_40256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_2397]) ).
tcf(c_40258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4))) ) ),
inference(superposition,[status(thm)],[c_37543,c_1180]) ).
tcf(c_40259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4))) = sK4(inverse_image3(X0,X1,image3(X2,X3,sK3)),X4) ) ),
inference(superposition,[status(thm)],[c_37543,c_1120]) ).
tcf(c_40260,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_37543,c_1677]) ).
tcf(c_40261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ member(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_37543,c_6688]) ).
tcf(c_40349,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(X5,X6,sK3))),X7)
| member(sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37544,c_5022]) ).
tcf(c_40350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK4(X4,X5),sK2)
| ~ subset(X4,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_37758]) ).
tcf(c_40351,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37544,c_35735]) ).
tcf(c_40352,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),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_35874]) ).
tcf(c_40353,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(X5,X6,sK3))),X7)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X5,X6,sK3))),X7),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37544,c_4827]) ).
tcf(c_40354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ subset(sK1,sK3)
| ~ member(X4,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_4114]) ).
tcf(c_40355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X4)),sK2)
| ~ member(X4,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_3710]) ).
tcf(c_40356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X4)),sK2)
| ~ member(X4,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_3604]) ).
tcf(c_40357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37544,c_2541]) ).
tcf(c_40358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),sK2)
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_1067]) ).
tcf(c_40359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK1,X4),sK2)
| ~ member(X4,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_1036]) ).
tcf(c_40360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_2397]) ).
tcf(c_40362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))) ) ),
inference(superposition,[status(thm)],[c_37544,c_1180]) ).
tcf(c_40363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4))) = sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),X4) ) ),
inference(superposition,[status(thm)],[c_37544,c_1120]) ).
tcf(c_40364,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_37544,c_1677]) ).
tcf(c_40365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ member(X0,inverse_image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_37544,c_6688]) ).
tcf(c_40461,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_5022]) ).
tcf(c_40462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK4(X3,X4),sK2)
| ~ subset(X3,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_37758]) ).
tcf(c_40463,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),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X0)))) = sK4(sK3,inverse_image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_35735]) ).
tcf(c_40464,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),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_35874]) ).
tcf(c_40465,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_4827]) ).
tcf(c_40466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),sK2)
| ~ subset(sK1,sK3)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_4114]) ).
tcf(c_40467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X3)),sK2)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_3710]) ).
tcf(c_40468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X3)),sK2)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_3604]) ).
tcf(c_40469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X0)))) = sK4(sK3,inverse_image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_2541]) ).
tcf(c_40470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),sK2)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_1067]) ).
tcf(c_40471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X3),sK2)
| ~ member(X3,sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_1036]) ).
tcf(c_40472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_2397]) ).
tcf(c_40473,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(sK2,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_993]) ).
tcf(c_40474,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,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_1180]) ).
tcf(c_40475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) = sK4(inverse_image3(X1,X2,X0),X3) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_1120]) ).
tcf(c_40476,plain,
! [X0: $i,X1: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_37540,c_1677]) ).
tcf(c_40477,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(X1,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_37540,c_6688]) ).
tcf(c_40636,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_53]) ).
tcf(c_40637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ subset(X2,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39638,c_55]) ).
tcf(c_40638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK7(X1,X2,sK4(X0,X4)),sK4(X0,X4))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_65]) ).
tcf(c_40639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_64]) ).
tcf(c_40640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_63]) ).
tcf(c_40641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK4(X0,X4),sK8(X1,X2,sK4(X0,X4)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_69]) ).
tcf(c_40642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK8(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_68]) ).
tcf(c_40643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_67]) ).
tcf(c_40644,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_21013]) ).
tcf(c_40645,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_17762]) ).
tcf(c_40646,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_16596]) ).
tcf(c_40647,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_16329]) ).
tcf(c_40648,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_16026]) ).
tcf(c_40649,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_19577]) ).
tcf(c_40650,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_14204]) ).
tcf(c_40651,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_13122]) ).
tcf(c_40652,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_3997]) ).
tcf(c_40653,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_5599]) ).
tcf(c_40654,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_3998]) ).
tcf(c_40655,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1204]) ).
tcf(c_40656,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1148]) ).
tcf(c_40657,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1111]) ).
tcf(c_40658,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_19101]) ).
tcf(c_40659,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_19098]) ).
tcf(c_40660,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_17745]) ).
tcf(c_40661,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_16312]) ).
tcf(c_40662,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_16009]) ).
tcf(c_40663,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_19099]) ).
tcf(c_40664,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_19102]) ).
tcf(c_40665,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_14187]) ).
tcf(c_40666,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_5588]) ).
tcf(c_40667,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1826]) ).
tcf(c_40668,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1179]) ).
tcf(c_40669,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_1119]) ).
tcf(c_40670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,X2,sK4(X0,X1)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X3))) = sK4(sK3,X3) )
| ~ subset(sK2,sK3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_6689]) ).
tcf(c_40671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,X2,sK4(X0,X1)),sK4(X0,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X3))) = sK4(sK3,X3) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_5259]) ).
tcf(c_40672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK4(X0,X1)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X3))) = sK4(sK3,X3) )
| ~ subset(sK2,sK3)
| ~ subset(sK2,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_6690]) ).
tcf(c_40673,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK4(X0,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_4256]) ).
tcf(c_40674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X3))) = sK4(sK3,X3) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_5260]) ).
tcf(c_40675,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_4257]) ).
tcf(c_40676,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK8(sK0,sK2,sK4(X0,X1)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_1678]) ).
tcf(c_40677,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK1,sK4(X0,X1)),sK4(X0,X1))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_1594]) ).
tcf(c_40678,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_1679]) ).
tcf(c_40679,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_39638,c_1595]) ).
tcf(c_40680,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_36577]) ).
tcf(c_40681,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK8(sK0,sK2,sK4(X0,X1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_24229]) ).
tcf(c_40948,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK4(sK3,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_29342,c_5528,c_36595]) ).
tcf(c_40957,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ member(sK4(sK3,X0),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_40948,c_9910]) ).
tcf(c_41254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_948,c_39808]) ).
tcf(c_41255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_24237,c_39808]) ).
tcf(c_41256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_1203,c_39808]) ).
tcf(c_41257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_1147,c_39808]) ).
tcf(c_41258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_1178,c_39808]) ).
tcf(c_41259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_1118,c_39808]) ).
tcf(c_41260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) ) ),
inference(superposition,[status(thm)],[c_32162,c_39808]) ).
tcf(c_41261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_3584,c_39808]) ).
tcf(c_41262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_2566,c_39808]) ).
tcf(c_41263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_1911,c_39808]) ).
tcf(c_41265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1385,c_39808]) ).
tcf(c_41266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1384,c_39808]) ).
tcf(c_41267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( 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_1387,c_39808]) ).
tcf(c_41268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1386,c_39808]) ).
tcf(c_41276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( 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_35906,c_39808]) ).
tcf(c_41277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35917,c_39808]) ).
tcf(c_41278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_39808]) ).
tcf(c_41281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X0)))) = sK4(sK3,image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37539,c_39808]) ).
tcf(c_41282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X0)))) = sK4(sK3,inverse_image3(X1,X2,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37540,c_39808]) ).
tcf(c_41283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37541,c_39808]) ).
tcf(c_41284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37542,c_39808]) ).
tcf(c_41285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37543,c_39808]) ).
tcf(c_41286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,sK3),X6)
| member(sK4(inverse_image3(X4,X5,sK3),X6),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ) ),
inference(superposition,[status(thm)],[c_37544,c_39808]) ).
tcf(c_41394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35914,c_35914,c_36596]) ).
tcf(c_41395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X1,X2,sK3),X3)),sK4(image3(X1,X2,sK3),X3))
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_41394]) ).
tcf(c_41402,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_948,c_41395]) ).
tcf(c_41420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)))
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_948,c_35907]) ).
tcf(c_41431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK2,X4)
| ~ subset(sK1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35908,c_35908,c_36596]) ).
tcf(c_41432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| apply(sK0,sK7(sK0,X0,sK4(image3(X2,X3,sK3),X4)),sK4(image3(X2,X3,sK3),X4))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_41431]) ).
tcf(c_41442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| apply(sK0,sK7(sK0,X0,sK4(image3(X1,X2,sK3),X3)),sK4(image3(X1,X2,sK3),X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_948,c_41432]) ).
tcf(c_41452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_35910,c_35910,c_36596]) ).
tcf(c_41453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X1,X2,sK3),X3)),sK4(image3(X1,X2,sK3),X3))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(renaming,[status(thm)],[c_41452]) ).
tcf(c_41463,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_948,c_41453]) ).
tcf(c_41479,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_22437]) ).
tcf(c_41480,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_22437]) ).
tcf(c_41481,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_22437]) ).
tcf(c_41482,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_22437]) ).
tcf(c_41483,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_22437]) ).
tcf(c_41484,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_22437]) ).
tcf(c_41485,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_22437]) ).
tcf(c_41487,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_22437]) ).
tcf(c_41488,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_22437]) ).
tcf(c_41489,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_22437]) ).
tcf(c_41490,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_22437]) ).
tcf(c_41491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_22437]) ).
tcf(c_41492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_22437]) ).
tcf(c_41493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_22437]) ).
tcf(c_41494,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,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_22437]) ).
tcf(c_41495,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,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_22437]) ).
tcf(c_41496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_22437]) ).
tcf(c_41497,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,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_22437]) ).
tcf(c_41498,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,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_22437]) ).
tcf(c_41499,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_22437]) ).
tcf(c_41500,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_22437]) ).
tcf(c_41502,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_22437]) ).
tcf(c_41503,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_22437]) ).
tcf(c_41504,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_22437]) ).
tcf(c_41505,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_22437]) ).
tcf(c_41506,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_22437]) ).
tcf(c_41507,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_22437]) ).
tcf(c_41508,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_22437]) ).
tcf(c_41509,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_22437]) ).
tcf(c_41510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_22437]) ).
tcf(c_41511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_22437]) ).
tcf(c_41513,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_22437]) ).
tcf(c_41515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_22437]) ).
tcf(c_41517,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_22437]) ).
tcf(c_41518,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_22437]) ).
tcf(c_41519,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_22437]) ).
tcf(c_41520,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_22437]) ).
tcf(c_41521,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_22437]) ).
tcf(c_41522,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_22437]) ).
tcf(c_41523,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_22437]) ).
tcf(c_41524,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_22437]) ).
tcf(c_41525,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_22437]) ).
tcf(c_41526,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_22437]) ).
tcf(c_41527,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_22437]) ).
tcf(c_41528,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_22437]) ).
tcf(c_41529,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_22437]) ).
tcf(c_41530,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_22437]) ).
tcf(c_41531,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_22437]) ).
tcf(c_41532,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_22437]) ).
tcf(c_41533,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_22437]) ).
tcf(c_41534,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_22437]) ).
tcf(c_41535,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_22437]) ).
tcf(c_41536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_22437]) ).
tcf(c_41537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_22437]) ).
tcf(c_41538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_22437]) ).
tcf(c_41539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_22437]) ).
tcf(c_41540,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_22437]) ).
tcf(c_42072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1472,c_39808]) ).
tcf(c_42073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X2,X3,sK2)),X6)
| member(sK4(inverse_image3(X4,X5,inverse_image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1472,c_5022]) ).
tcf(c_42074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_37758]) ).
tcf(c_42075,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1472,c_35735]) ).
tcf(c_42076,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_35874]) ).
tcf(c_42077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,inverse_image3(X2,X3,sK2)),X6)
| member(sK4(image3(X4,X5,inverse_image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1472,c_4827]) ).
tcf(c_42078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_4114]) ).
tcf(c_42079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_3710]) ).
tcf(c_42080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_3604]) ).
tcf(c_42081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1472,c_2541]) ).
tcf(c_42082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_1067]) ).
tcf(c_42083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) )
| ~ member(X2,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_1036]) ).
tcf(c_42084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_2397]) ).
tcf(c_42085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK2),X4)
| member(sK4(inverse_image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1472,c_993]) ).
tcf(c_42086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_5025]) ).
tcf(c_42087,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,sK2)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_4830]) ).
tcf(c_42088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| apply(X2,sK7(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),sK4(inverse_image3(X0,X1,sK2),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1245]) ).
tcf(c_42089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK7(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1011]) ).
tcf(c_42090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK4(inverse_image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_994]) ).
tcf(c_42091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_5028]) ).
tcf(c_42092,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,sK2)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_4833]) ).
tcf(c_42093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| apply(X2,sK4(inverse_image3(X0,X1,sK2),X5),sK8(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1267]) ).
tcf(c_42094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK8(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1023]) ).
tcf(c_42095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK4(inverse_image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_995]) ).
tcf(c_42096,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1180]) ).
tcf(c_42098,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) = sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) ) ),
inference(superposition,[status(thm)],[c_1472,c_24240]) ).
tcf(c_42099,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1205]) ).
tcf(c_42100,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) ) ),
inference(superposition,[status(thm)],[c_1472,c_1149]) ).
tcf(c_42101,plain,
! [X0: $i,X1: $i] :
( subset(inverse_image3(X0,X1,sK2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK3))) ) ),
inference(superposition,[status(thm)],[c_1472,c_36920]) ).
tcf(c_42102,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,sK2,sK2),X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,sK2,sK2),X1))) )
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1472,c_1677]) ).
tcf(c_42103,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,X0,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,X0,sK2),X2))) )
| ~ member(X1,sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_1472,c_6688]) ).
tcf(c_42367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_8145]) ).
tcf(c_42368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_8145]) ).
tcf(c_42369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_8145]) ).
tcf(c_42413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_8148]) ).
tcf(c_42414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_8148]) ).
tcf(c_42415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_8148]) ).
tcf(c_42439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37760]) ).
tcf(c_42440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37760]) ).
tcf(c_42457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK8(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_37763]) ).
tcf(c_42458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK8(X1,X2,sK4(X0,X4)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_37763]) ).
tcf(c_42488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),sK4(image3(X0,X1,sK3),X2))
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36596,c_5259]) ).
tcf(c_42489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK2,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36596,c_6690]) ).
tcf(c_42491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK1,X3)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36596,c_5260]) ).
tcf(c_42493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK4(image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36596,c_1678]) ).
tcf(c_42495,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ member(sK4(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36596,c_1679]) ).
tcf(c_42524,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_21013]) ).
tcf(c_42525,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_17762]) ).
tcf(c_42526,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_16596]) ).
tcf(c_42527,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_16329]) ).
tcf(c_42528,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_16026]) ).
tcf(c_42529,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_19577]) ).
tcf(c_42530,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_14204]) ).
tcf(c_42531,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_13122]) ).
tcf(c_42532,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_3997]) ).
tcf(c_42533,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_5599]) ).
tcf(c_42534,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_3998]) ).
tcf(c_42535,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36597,c_1204]) ).
tcf(c_42538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)))
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36597,c_6689]) ).
tcf(c_42539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_5259]) ).
tcf(c_42540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK2,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36597,c_6690]) ).
tcf(c_42541,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_4256]) ).
tcf(c_42542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK4(inverse_image3(X0,X1,sK3),X2)),X3)
| ~ subset(sK1,X3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_5260]) ).
tcf(c_42543,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_4257]) ).
tcf(c_42544,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK3),X2),sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36597,c_1678]) ).
tcf(c_42545,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK4(inverse_image3(X0,X1,sK3),X2))
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_1594]) ).
tcf(c_42546,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)),sK2)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_36597,c_1679]) ).
tcf(c_42547,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)),sK1)
| ~ member(sK4(inverse_image3(X0,X1,sK3),X2),sK2) ),
inference(superposition,[status(thm)],[c_36597,c_1595]) ).
tcf(c_42736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,sK3)))) = sK4(sK3,image3(X2,X3,sK3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_40260]) ).
tcf(c_42737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),sK2)
| ~ subset(X2,sK3)
| ~ member(sK4(X2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_36921,c_40260]) ).
tcf(c_42738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK4(X0,X3),sK2)
| ~ member(sK4(X0,X3),sK1)
| ~ subset(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_972,c_40260]) ).
tcf(c_42739,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_40260]) ).
tcf(c_42740,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_3995,c_40260]) ).
tcf(c_42741,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_973,c_40260]) ).
tcf(c_42742,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_40260]) ).
tcf(c_42743,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),sK2)
| ~ member(X2,sK1)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_974,c_40260]) ).
tcf(c_42744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,image3(X1,X2,sK3),X3),X4)
| member(sK7(X0,image3(X1,X2,sK3),sK4(image3(X0,image3(X1,X2,sK3),X3),X4)),sK2)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK4(image3(X0,image3(X1,X2,sK3),X3),X4)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_40260]) ).
tcf(c_42745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,image3(X1,X2,sK3),X3),X4)
| member(sK8(X0,image3(X1,X2,sK3),sK4(inverse_image3(X0,image3(X1,X2,sK3),X3),X4)),sK2)
| ~ member(sK8(X0,image3(X1,X2,sK3),sK4(inverse_image3(X0,image3(X1,X2,sK3),X3),X4)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_40260]) ).
tcf(c_42747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK4(image3(X0,X1,X2),X3),sK2)
| ~ subset(X2,image3(X4,X5,sK3))
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1377,c_40260]) ).
tcf(c_42748,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,sK3))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1380,c_40260]) ).
tcf(c_42749,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,sK3))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1383,c_40260]) ).
tcf(c_42750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK4(inverse_image3(X0,X1,X2),X3),sK2)
| ~ subset(X2,image3(X4,X5,sK3))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1465,c_40260]) ).
tcf(c_42751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1468,c_40260]) ).
tcf(c_42752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK3))),X6)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1471,c_40260]) ).
tcf(c_42755,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2377,c_40260]) ).
tcf(c_42756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| member(sK7(X0,image3(X1,X2,sK3),sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,image3(X1,X2,sK3),X4)))) = sK4(sK3,image3(X0,image3(X1,X2,sK3),X4)) )
| ~ member(sK7(X0,image3(X1,X2,sK3),sK4(sK3,X3)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_40260]) ).
tcf(c_42759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| member(sK8(X0,image3(X1,X2,sK3),sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,image3(X1,X2,sK3),X4)))) = sK4(sK3,inverse_image3(X0,image3(X1,X2,sK3),X4)) )
| ~ member(sK8(X0,image3(X1,X2,sK3),sK4(sK3,X3)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_40260]) ).
tcf(c_42760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2)
| ~ subset(X1,image3(X4,X5,sK3))
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_40260]) ).
tcf(c_42761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2)
| ~ subset(X1,image3(X4,X5,sK3))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_40260]) ).
tcf(c_42762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK2)
| ~ member(sK4(X0,X1),sK2)
| ~ subset(sK1,image3(X2,X3,sK3))
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_40260]) ).
tcf(c_42764,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_40260]) ).
tcf(c_42766,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_40260]) ).
tcf(c_42767,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_40260]) ).
tcf(c_42770,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_40260]) ).
tcf(c_42771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK7(sK0,image3(X0,X1,sK3),sK4(X2,X3)),sK2)
| ~ member(sK4(X2,X3),sK2)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK4(X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_40260]) ).
tcf(c_42772,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_40260]) ).
tcf(c_42776,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_40260]) ).
tcf(c_42777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X2,X3,sK3))
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_40260]) ).
tcf(c_42778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK8(sK0,image3(X0,X1,sK3),sK4(X2,X3)),sK2)
| ~ member(sK4(X2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,sK3))
| ~ member(sK8(sK0,image3(X0,X1,sK3),sK4(X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_40260]) ).
tcf(c_42779,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK3))
| ~ member(sK8(sK0,image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_40260]) ).
tcf(c_42780,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3))
| ~ member(sK8(sK0,image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_40260]) ).
tcf(c_42781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X2,X3,sK3))
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_40260]) ).
tcf(c_42782,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,image3(X0,X1,sK3),sK4(sK3,X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_40260]) ).
tcf(c_42784,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK2)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3))
| ~ member(sK8(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_40260]) ).
tcf(c_42785,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_40260]) ).
tcf(c_43224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,sK3)))) = sK4(sK3,inverse_image3(X2,X3,sK3)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_39638,c_40364]) ).
tcf(c_43225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK4(X2,X3),sK2)
| ~ subset(X2,sK3)
| ~ member(sK4(X2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_36921,c_40364]) ).
tcf(c_43226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK4(X0,X3),sK2)
| ~ member(sK4(X0,X3),sK1)
| ~ subset(X0,inverse_image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_972,c_40364]) ).
tcf(c_43227,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK3)))) = sK4(sK3,inverse_image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_3923,c_40364]) ).
tcf(c_43228,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_3995,c_40364]) ).
tcf(c_43229,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_973,c_40364]) ).
tcf(c_43230,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK3)))) = sK4(sK3,inverse_image3(X1,X2,sK3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4065,c_40364]) ).
tcf(c_43231,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),sK2)
| ~ member(X2,sK1)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_974,c_40364]) ).
tcf(c_43232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,inverse_image3(X1,X2,sK3),X3),X4)
| member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(image3(X0,inverse_image3(X1,X2,sK3),X3),X4)),sK2)
| ~ member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(image3(X0,inverse_image3(X1,X2,sK3),X3),X4)),sK1) ),
inference(superposition,[status(thm)],[c_1010,c_40364]) ).
tcf(c_43233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,inverse_image3(X1,X2,sK3),X3),X4)
| member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X0,inverse_image3(X1,X2,sK3),X3),X4)),sK2)
| ~ member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X0,inverse_image3(X1,X2,sK3),X3),X4)),sK1) ),
inference(superposition,[status(thm)],[c_1022,c_40364]) ).
tcf(c_43234,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK6(sK0,sK1,X0),sK3) ),
inference(superposition,[status(thm)],[c_1318,c_40364]) ).
tcf(c_43236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK4(image3(X0,X1,X2),X3),sK2)
| ~ subset(X2,inverse_image3(X4,X5,sK3))
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1377,c_40364]) ).
tcf(c_43237,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,sK3))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1380,c_40364]) ).
tcf(c_43238,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,sK3))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1383,c_40364]) ).
tcf(c_43239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK4(inverse_image3(X0,X1,X2),X3),sK2)
| ~ subset(X2,inverse_image3(X4,X5,sK3))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1465,c_40364]) ).
tcf(c_43240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK3))),X6)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1468,c_40364]) ).
tcf(c_43241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK3))),X6)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK2)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK3))),X6),sK1) ),
inference(superposition,[status(thm)],[c_1471,c_40364]) ).
tcf(c_43243,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2377,c_40364]) ).
tcf(c_43244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,inverse_image3(X1,X2,sK3),X4)))) = sK4(sK3,image3(X0,inverse_image3(X1,X2,sK3),X4)) )
| ~ member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(sK3,X3)),sK1) ),
inference(superposition,[status(thm)],[c_3828,c_40364]) ).
tcf(c_43247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,sK3),X4)))) = sK4(sK3,inverse_image3(X0,inverse_image3(X1,X2,sK3),X4)) )
| ~ member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(sK3,X3)),sK1) ),
inference(superposition,[status(thm)],[c_3852,c_40364]) ).
tcf(c_43248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK2)
| ~ subset(X1,inverse_image3(X4,X5,sK3))
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2757,c_40364]) ).
tcf(c_43249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK2)
| ~ subset(X1,inverse_image3(X4,X5,sK3))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_2875,c_40364]) ).
tcf(c_43250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK2)
| ~ member(sK4(X0,X1),sK2)
| ~ subset(sK1,inverse_image3(X2,X3,sK3))
| ~ member(sK7(sK0,sK1,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3044,c_40364]) ).
tcf(c_43252,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK3)))) = sK4(sK3,inverse_image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_19000,c_40364]) ).
tcf(c_43254,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ subset(sK1,inverse_image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3265,c_40364]) ).
tcf(c_43255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK3)))) = sK4(sK3,inverse_image3(X1,X2,sK3)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_21828,c_40364]) ).
tcf(c_43257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,inverse_image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4355,c_40364]) ).
tcf(c_43258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(X2,X3)),sK2)
| ~ member(sK4(X2,X3),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_6169,c_40364]) ).
tcf(c_43259,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ member(sK6(sK0,sK1,X2),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_6170,c_40364]) ).
tcf(c_43263,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7381,c_40364]) ).
tcf(c_43264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X2,X3,sK3))
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_7389,c_40364]) ).
tcf(c_43265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK8(sK0,inverse_image3(X0,X1,sK3),sK4(X2,X3)),sK2)
| ~ member(sK4(X2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3))
| ~ member(sK8(sK0,inverse_image3(X0,X1,sK3),sK4(X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_40364]) ).
tcf(c_43266,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3))
| ~ member(sK8(sK0,inverse_image3(X0,X1,sK3),sK5(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_40364]) ).
tcf(c_43267,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3))
| ~ member(sK8(sK0,inverse_image3(X0,X1,sK3),sK6(sK0,sK1,X2)),sK1) ),
inference(superposition,[status(thm)],[c_9332,c_40364]) ).
tcf(c_43268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X2,X3,sK3))
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK1) ),
inference(superposition,[status(thm)],[c_9340,c_40364]) ).
tcf(c_43269,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK3,X2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK3,X2)),sK1) ),
inference(superposition,[status(thm)],[c_15625,c_40364]) ).
tcf(c_43271,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK2)
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK3))
| ~ member(sK8(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK1) ),
inference(superposition,[status(thm)],[c_20455,c_40364]) ).
tcf(c_43272,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK5(sK0,sK2,X2))),sK1) ),
inference(superposition,[status(thm)],[c_20729,c_40364]) ).
tcf(c_43705,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_22454]) ).
tcf(c_43706,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_22454]) ).
tcf(c_43707,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_22454]) ).
tcf(c_43708,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_22454]) ).
tcf(c_43709,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_22454]) ).
tcf(c_43710,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_22454]) ).
tcf(c_43711,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_22454]) ).
tcf(c_43713,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_22454]) ).
tcf(c_43714,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_22454]) ).
tcf(c_43715,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_22454]) ).
tcf(c_43716,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_22454]) ).
tcf(c_43717,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_22454]) ).
tcf(c_43718,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_22454]) ).
tcf(c_43719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_22454]) ).
tcf(c_43720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_22454]) ).
tcf(c_43721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_22454]) ).
tcf(c_43722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_22454]) ).
tcf(c_43723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_22454]) ).
tcf(c_43724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_22454]) ).
tcf(c_43725,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_22454]) ).
tcf(c_43726,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_22454]) ).
tcf(c_43727,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_22454]) ).
tcf(c_43728,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_22454]) ).
tcf(c_43729,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_22454]) ).
tcf(c_43730,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_22454]) ).
tcf(c_43731,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_22454]) ).
tcf(c_43732,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_22454]) ).
tcf(c_43733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_22454]) ).
tcf(c_43734,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_22454]) ).
tcf(c_43735,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_22454]) ).
tcf(c_43736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_22454]) ).
tcf(c_43737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_22454]) ).
tcf(c_43738,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_22454]) ).
tcf(c_43741,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_22454]) ).
tcf(c_43742,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_22454]) ).
tcf(c_43743,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_22454]) ).
tcf(c_43744,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_22454]) ).
tcf(c_43745,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_22454]) ).
tcf(c_43747,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_22454]) ).
tcf(c_43748,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_22454]) ).
tcf(c_43749,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_22454]) ).
tcf(c_43750,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_22454]) ).
tcf(c_43751,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_22454]) ).
tcf(c_43752,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_22454]) ).
tcf(c_43753,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_22454]) ).
tcf(c_43754,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_22454]) ).
tcf(c_43755,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_22454]) ).
tcf(c_43756,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_22454]) ).
tcf(c_43757,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_22454]) ).
tcf(c_43758,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_22454]) ).
tcf(c_43759,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_22454]) ).
tcf(c_43760,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_22454]) ).
tcf(c_43761,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_22454]) ).
tcf(c_43762,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_22454]) ).
tcf(c_43763,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_22454]) ).
tcf(c_43764,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_22454]) ).
tcf(c_43766,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_22454]) ).
tcf(c_43767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_22454]) ).
tcf(c_43768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_22454]) ).
tcf(c_43769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_22454]) ).
tcf(c_43770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_22454]) ).
tcf(c_43771,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_22454]) ).
tcf(c_43772,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_22454]) ).
tcf(c_43773,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_22454]) ).
tcf(c_44137,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_28934,c_36595,c_36901,c_40957]) ).
tcf(c_44144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_44137,c_39808]) ).
tcf(c_44145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_44137,c_5022]) ).
tcf(c_44146,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_37758]) ).
tcf(c_44147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_44137,c_35735]) ).
tcf(c_44148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_35874]) ).
tcf(c_44149,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)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_44137,c_4827]) ).
tcf(c_44150,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_44137,c_4114]) ).
tcf(c_44151,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_44137,c_3710]) ).
tcf(c_44152,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_44137,c_3604]) ).
tcf(c_44153,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_44137,c_2541]) ).
tcf(c_44154,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_44137,c_1067]) ).
tcf(c_44155,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_44137,c_1036]) ).
tcf(c_44156,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_2397]) ).
tcf(c_44157,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_44137,c_993]) ).
tcf(c_44158,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_44137,c_16955]) ).
tcf(c_44159,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_4974]) ).
tcf(c_44160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_5025]) ).
tcf(c_44161,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)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_4830]) ).
tcf(c_44162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_1245]) ).
tcf(c_44163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_1011]) ).
tcf(c_44164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_994]) ).
tcf(c_44165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_5028]) ).
tcf(c_44166,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)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_4833]) ).
tcf(c_44167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_1267]) ).
tcf(c_44168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_1023]) ).
tcf(c_44169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_44137,c_995]) ).
tcf(c_44170,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_44137,c_1180]) ).
tcf(c_44171,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_44137,c_1120]) ).
tcf(c_44172,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_44137,c_24240]) ).
tcf(c_44173,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_44137,c_1205]) ).
tcf(c_44174,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_44137,c_1149]) ).
tcf(c_44477,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2)
| ~ apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_4467,c_1947,c_4467]) ).
tcf(c_44494,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_4545,c_362,c_1948,c_4545]) ).
tcf(c_44505,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_44494]) ).
tcf(c_44507,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_22911,c_44494]) ).
tcf(c_44509,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_28733,c_44494]) ).
tcf(c_44510,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0) ),
inference(superposition,[status(thm)],[c_13110,c_44494]) ).
tcf(c_44511,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0) ),
inference(superposition,[status(thm)],[c_18107,c_44494]) ).
tcf(c_44512,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_32212,c_44494]) ).
tcf(c_44513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_18091,c_44494]) ).
tcf(c_44514,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0) ),
inference(superposition,[status(thm)],[c_18090,c_44494]) ).
tcf(c_44515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = X0 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(superposition,[status(thm)],[c_13109,c_44494]) ).
tcf(c_44572,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = X0 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0) ),
inference(superposition,[status(thm)],[c_44158,c_44494]) ).
tcf(c_44573,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_23012]) ).
tcf(c_44574,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_22911]) ).
tcf(c_44575,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_19000]) ).
tcf(c_44576,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_20064]) ).
tcf(c_44577,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_19900]) ).
tcf(c_44578,plain,
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_18992]) ).
tcf(c_44579,plain,
! [X0: $i] :
( apply(sK0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK8(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_8812]) ).
tcf(c_44580,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_12007]) ).
tcf(c_44581,plain,
! [X0: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_4065]) ).
tcf(c_44582,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_7788]) ).
tcf(c_44583,plain,
( member(sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_6908]) ).
tcf(c_44584,plain,
( apply(sK0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_2271]) ).
tcf(c_44586,plain,
( member(sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_2041]) ).
tcf(c_44588,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0) ),
inference(superposition,[status(thm)],[c_44158,c_1299]) ).
tcf(c_44589,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(sK0,X1,X0))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0) ),
inference(superposition,[status(thm)],[c_44158,c_1319]) ).
tcf(c_44590,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_353]) ).
tcf(c_44591,plain,
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_362]) ).
tcf(c_44592,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_28808]) ).
tcf(c_44593,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_28733]) ).
tcf(c_44594,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_6917]) ).
tcf(c_44595,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_19910]) ).
tcf(c_44596,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_20729]) ).
tcf(c_44597,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_20455]) ).
tcf(c_44598,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_19094]) ).
tcf(c_44599,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_12939]) ).
tcf(c_44600,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_7381]) ).
tcf(c_44601,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_3265]) ).
tcf(c_44602,plain,
! [X0: $i] :
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_974]) ).
tcf(c_44603,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_7389]) ).
tcf(c_44963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),inverse_image3(X0,X5,X4))
| ~ member(sK4(image3(X0,X1,X2),X3),X5)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1244,c_66]) ).
tcf(c_44964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK4(image3(X0,X1,X2),X3),image3(X0,X4,X5))
| ~ member(sK4(image3(X0,X1,X2),X3),X5)
| ~ member(sK7(X0,X1,sK4(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1244,c_62]) ).
tcf(c_44965,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(sK0,X0,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,X0,sK4(image3(sK0,X0,X1),X2))) = sK4(image3(sK0,X0,X1),X2) )
| ~ member(sK4(image3(sK0,X0,X1),X2),sK2)
| ~ member(sK7(sK0,X0,sK4(image3(sK0,X0,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_1244,c_1092]) ).
tcf(c_44966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(sK0,X0,X1),X2)
| ( sK4(image3(sK0,X0,X1),X2) = X3 )
| ~ member(X3,sK2)
| ~ member(sK4(image3(sK0,X0,X1),X2),sK2)
| ~ member(sK7(sK0,X0,sK4(image3(sK0,X0,X1),X2)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(image3(sK0,X0,X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_1244,c_332]) ).
tcf(c_44990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK4(inverse_image3(X0,X1,X2),X3),inverse_image3(X0,X4,X5))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),X5)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1266,c_66]) ).
tcf(c_44991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),image3(X0,X5,X4))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),X5)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1266,c_62]) ).
tcf(c_44992,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = sK5(sK0,sK2,sK4(inverse_image3(sK0,X0,X1),X2)) )
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1)
| ~ member(sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_1266,c_1092]) ).
tcf(c_44993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = X3 )
| ~ member(X3,sK2)
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,X0,X1),X2),X3)
| ~ member(sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_1266,c_332]) ).
tcf(c_44994,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = sK8(sK0,sK2,sK4(inverse_image3(sK0,X0,X1),X2)) )
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1)
| ~ member(sK8(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_1266,c_23234]) ).
tcf(c_45021,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(sK7(X2,X0,sK4(image3(X3,X4,image3(X2,X0,X5)),X6)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1379,c_55]) ).
tcf(c_45022,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,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),sK7(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))) ),
inference(superposition,[status(thm)],[c_1379,c_65]) ).
tcf(c_45023,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(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1379,c_64]) ).
tcf(c_45024,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(sK7(X0,image3(X1,X2,X3),sK4(image3(X4,X5,image3(X0,image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1379,c_63]) ).
tcf(c_45025,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,sK7(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)),sK8(X0,X2,sK7(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)))) ),
inference(superposition,[status(thm)],[c_1379,c_69]) ).
tcf(c_45026,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(sK8(X0,X1,sK7(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_1379,c_68]) ).
tcf(c_45027,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(sK7(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_1379,c_67]) ).
tcf(c_45028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_22454]) ).
tcf(c_45029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_21013]) ).
tcf(c_45030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_17762]) ).
tcf(c_45031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_16596]) ).
tcf(c_45032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_16329]) ).
tcf(c_45033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_16026]) ).
tcf(c_45034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_19577]) ).
tcf(c_45035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_14204]) ).
tcf(c_45036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_13122]) ).
tcf(c_45037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_3997]) ).
tcf(c_45038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_5599]) ).
tcf(c_45039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_3998]) ).
tcf(c_45040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_1204]) ).
tcf(c_45041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1379,c_1148]) ).
tcf(c_45042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1379,c_1111]) ).
tcf(c_45043,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,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_22437]) ).
tcf(c_45044,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(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_19101]) ).
tcf(c_45045,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_19098]) ).
tcf(c_45046,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,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_17745]) ).
tcf(c_45047,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_16312]) ).
tcf(c_45048,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(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_16009]) ).
tcf(c_45049,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_19099]) ).
tcf(c_45050,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,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_19102]) ).
tcf(c_45051,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_14187]) ).
tcf(c_45052,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,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_5588]) ).
tcf(c_45053,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(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_1826]) ).
tcf(c_45054,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(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_1179]) ).
tcf(c_45055,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,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1379,c_1119]) ).
tcf(c_45056,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,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK8(sK0,X6,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ subset(sK2,X6)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_6689]) ).
tcf(c_45057,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,sK7(sK0,X6,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ subset(sK1,X6)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_5259]) ).
tcf(c_45058,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(sK8(sK0,X6,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK2,X6)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_6690]) ).
tcf(c_45059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK2,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_4256]) ).
tcf(c_45060,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,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK1,X6)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_5260]) ).
tcf(c_45061,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,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_4257]) ).
tcf(c_45062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_1678]) ).
tcf(c_45063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK1,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_1594]) ).
tcf(c_45064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK8(sK0,sK2,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK2)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_1679]) ).
tcf(c_45065,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,sK1,sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK1)
| ~ member(sK7(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_1595]) ).
tcf(c_45066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK3,X3)),X4)
| member(sK7(X0,sK3,sK4(image3(X1,X2,image3(X0,sK3,X3)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_1379,c_36577]) ).
tcf(c_45067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)
| member(sK7(X0,image3(X1,X2,sK3),sK4(image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK4(image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_40260]) ).
tcf(c_45068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)
| member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1379,c_40364]) ).
tcf(c_45396,plain,
( member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK2)
| ~ member(sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),inverse_image3(sK0,sK3,sK1))
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) ),
inference(instantiation,[status(thm)],[c_21757]) ).
tcf(c_45429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,inverse_image3(X2,X0,X5)),X6)
| member(sK8(X2,X0,sK4(image3(X3,X4,inverse_image3(X2,X0,X5)),X6)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1382,c_55]) ).
tcf(c_45430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7)
| apply(X0,sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))),sK8(X2,image3(X0,X1,X3),sK4(image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))) ),
inference(superposition,[status(thm)],[c_1382,c_65]) ).
tcf(c_45431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7)
| member(sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1382,c_64]) ).
tcf(c_45432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X0,image3(X1,X2,X3),X6)),X7)
| member(sK8(X0,image3(X1,X2,X3),sK4(image3(X4,X5,inverse_image3(X0,image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1382,c_63]) ).
tcf(c_45433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)
| apply(X0,sK8(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)),sK8(X0,X2,sK8(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)))) ),
inference(superposition,[status(thm)],[c_1382,c_69]) ).
tcf(c_45434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X2,inverse_image3(X0,X1,X3),X6)),X7)
| member(sK8(X0,X1,sK8(X2,inverse_image3(X0,X1,X3),sK4(image3(X4,X5,inverse_image3(X2,inverse_image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1382,c_68]) ).
tcf(c_45435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,inverse_image3(X0,inverse_image3(X1,X2,X3),X6)),X7)
| member(sK8(X0,inverse_image3(X1,X2,X3),sK4(image3(X4,X5,inverse_image3(X0,inverse_image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1382,c_67]) ).
tcf(c_45436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_22454]) ).
tcf(c_45437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_21013]) ).
tcf(c_45438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_17762]) ).
tcf(c_45439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_16596]) ).
tcf(c_45440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_16329]) ).
tcf(c_45441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_16026]) ).
tcf(c_45442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_19577]) ).
tcf(c_45443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_14204]) ).
tcf(c_45444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_13122]) ).
tcf(c_45445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_3997]) ).
tcf(c_45446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_5599]) ).
tcf(c_45447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_3998]) ).
tcf(c_45448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_1204]) ).
tcf(c_45449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1382,c_1148]) ).
tcf(c_45450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1382,c_1111]) ).
tcf(c_45451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_22437]) ).
tcf(c_45452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_19101]) ).
tcf(c_45453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_19098]) ).
tcf(c_45454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_17745]) ).
tcf(c_45455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_16312]) ).
tcf(c_45456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_16009]) ).
tcf(c_45457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_19099]) ).
tcf(c_45458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_19102]) ).
tcf(c_45459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_14187]) ).
tcf(c_45460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_5588]) ).
tcf(c_45461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_1826]) ).
tcf(c_45462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_1179]) ).
tcf(c_45463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1382,c_1119]) ).
tcf(c_45464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK8(sK0,X6,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))))
| ~ subset(sK2,X6)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_6689]) ).
tcf(c_45465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,X6,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ subset(sK1,X6)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_5259]) ).
tcf(c_45466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK8(sK0,X6,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK2,X6)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_6690]) ).
tcf(c_45467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK2,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_4256]) ).
tcf(c_45468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK7(sK0,X6,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK1,X6)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_5260]) ).
tcf(c_45469,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(sK0,sK2,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_4257]) ).
tcf(c_45470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK8(sK0,sK2,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))))
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_1678]) ).
tcf(c_45471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK1,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_1594]) ).
tcf(c_45472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK8(sK0,sK2,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK2)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_1679]) ).
tcf(c_45473,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(sK0,sK1,sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK1)
| ~ member(sK8(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_1595]) ).
tcf(c_45474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK3,X3)),X4)
| member(sK8(X0,sK3,sK4(image3(X1,X2,inverse_image3(X0,sK3,X3)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_1382,c_36577]) ).
tcf(c_45475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)
| member(sK8(X0,image3(X1,X2,sK3),sK4(image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK8(X0,image3(X1,X2,sK3),sK4(image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_40260]) ).
tcf(c_45476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)
| member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1382,c_40364]) ).
tcf(c_46047,plain,
! [X0: $i,X1: $i] :
( member(X0,sK2)
| ~ member(X0,X1)
| ~ subset(X1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_40476,c_20953,c_36577]) ).
tcf(c_46048,plain,
! [X0: $i,X1: $i] :
( member(X0,sK2)
| ~ subset(X1,sK3)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_46047]) ).
tcf(c_46061,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_46048]) ).
tcf(c_46062,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),sK2)
| ~ subset(sK2,X1)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_46048]) ).
tcf(c_46063,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),sK2)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_972,c_46048]) ).
tcf(c_46064,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3923,c_46048]) ).
tcf(c_46065,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X1),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3995,c_46048]) ).
tcf(c_46066,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X1),sK2)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_973,c_46048]) ).
tcf(c_46067,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4065,c_46048]) ).
tcf(c_46068,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_974,c_46048]) ).
tcf(c_46071,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),sK2)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK5(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_1299,c_46048]) ).
tcf(c_46072,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X2),sK2)
| ~ member(X2,sK2)
| ~ member(X2,X0)
| ~ member(sK6(sK0,sK1,X2),X1)
| ~ subset(inverse_image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_1318,c_46048]) ).
tcf(c_46073,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,sK2)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ member(X2,X1)
| ~ subset(inverse_image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_1639,c_46048]) ).
tcf(c_46074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK4(image3(X2,X3,X0),X4),sK2)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1377,c_46048]) ).
tcf(c_46075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X1,X0,X4)),X5)
| member(sK7(X1,X0,sK4(image3(X2,X3,image3(X1,X0,X4)),X5)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_46048]) ).
tcf(c_46076,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),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_46048]) ).
tcf(c_46077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X1,X0,X4)),X5)
| member(sK8(X1,X0,sK4(image3(X2,X3,inverse_image3(X1,X0,X4)),X5)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_46048]) ).
tcf(c_46078,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),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_46048]) ).
tcf(c_46079,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),sK2)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1465,c_46048]) ).
tcf(c_46080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,image3(X3,X4,X0)),X5)
| member(sK4(inverse_image3(X1,X2,image3(X3,X4,X0)),X5),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_46048]) ).
tcf(c_46081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X3,X4,X0)),X5)
| member(sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,X0)),X5),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_46048]) ).
tcf(c_46085,plain,
! [X0: $i,X1: $i] :
( member(X1,sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_1638,c_46048]) ).
tcf(c_46093,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_46048]) ).
tcf(c_46094,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_46048]) ).
tcf(c_46095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X1,X0,sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X0,X2)))) = sK4(sK3,image3(X1,X0,X2)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_46048]) ).
tcf(c_46098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X1,X0,sK4(sK3,X3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X0,X2)))) = sK4(sK3,inverse_image3(X1,X0,X2)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_46048]) ).
tcf(c_46100,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_46048]) ).
tcf(c_46102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X0,X3),X4)
| member(sK7(X2,X0,sK4(image3(X2,X0,X3),X4)),sK2)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2757,c_46048]) ).
tcf(c_46103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X0,X3),X4)
| member(sK8(X2,X0,sK4(inverse_image3(X2,X0,X3),X4)),sK2)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2875,c_46048]) ).
tcf(c_46104,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK1,sK4(X0,X1)),sK2)
| ~ subset(sK1,X2)
| ~ subset(X2,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_46048]) ).
tcf(c_46105,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK2,X2)
| ~ subset(X2,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_46048]) ).
tcf(c_46106,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_19000,c_46048]) ).
tcf(c_46107,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_19094,c_46048]) ).
tcf(c_46108,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3265,c_46048]) ).
tcf(c_46111,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_46048]) ).
tcf(c_46112,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK2,sK3)
| ~ member(X1,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_21828,c_46048]) ).
tcf(c_46113,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X1)),sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3327,c_46048]) ).
tcf(c_46115,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_46048]) ).
tcf(c_46116,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_46048]) ).
tcf(c_46119,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_46048]) ).
tcf(c_46120,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),sK2)
| ~ subset(sK1,X2)
| ~ subset(X2,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_46048]) ).
tcf(c_46121,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK1,X0)),sK2)
| ~ member(X0,sK2)
| ~ subset(sK1,X1)
| ~ subset(X1,sK3)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_46048]) ).
tcf(c_46122,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_6809,c_46048]) ).
tcf(c_46123,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_6917,c_46048]) ).
tcf(c_46124,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,sK1,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_7178,c_46048]) ).
tcf(c_46126,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X2)),sK2)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7389,c_46048]) ).
tcf(c_46127,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK8(sK0,X2,sK4(X0,X1)),sK2)
| ~ subset(sK2,X2)
| ~ subset(X2,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_46048]) ).
tcf(c_46128,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ subset(X1,sK3)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_46048]) ).
tcf(c_46130,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK6(sK0,sK1,X2)),sK2)
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9340,c_46048]) ).
tcf(c_46131,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X0,sK4(sK3,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_46048]) ).
tcf(c_46132,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_19910,c_46048]) ).
tcf(c_46133,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_20455,c_46048]) ).
tcf(c_46134,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_20729,c_46048]) ).
tcf(c_46141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_46048]) ).
tcf(c_46538,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_5403,c_319,c_2040,c_5403]) ).
tcf(c_46549,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,X0)) = X0 )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_310,c_46538]) ).
tcf(c_46550,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_353,c_46538]) ).
tcf(c_46552,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK6(sK0,sK1,X1)) = sK8(sK0,sK2,sK6(sK0,sK1,X1)) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_13000,c_46538]) ).
tcf(c_46570,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_54,c_46549]) ).
tcf(c_46571,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_46549]) ).
tcf(c_46572,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_954,c_46549]) ).
tcf(c_46573,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_962,c_46549]) ).
tcf(c_46574,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_46549]) ).
tcf(c_46575,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_46549]) ).
tcf(c_46576,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_46549]) ).
tcf(c_46578,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_46549]) ).
tcf(c_46579,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_46549]) ).
tcf(c_46580,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_46549]) ).
tcf(c_46581,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_46549]) ).
tcf(c_46582,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) = sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1010,c_46549]) ).
tcf(c_46583,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) = sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1022,c_46549]) ).
tcf(c_46584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) = sK4(image3(X1,X2,X0),X3) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_46549]) ).
tcf(c_46585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1379,c_46549]) ).
tcf(c_46586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK4(image3(X0,X1,image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1380,c_46549]) ).
tcf(c_46587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1382,c_46549]) ).
tcf(c_46588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1383,c_46549]) ).
tcf(c_46589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) = sK4(inverse_image3(X1,X2,X0),X3) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_46549]) ).
tcf(c_46590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1468,c_46549]) ).
tcf(c_46591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4) ) ),
inference(superposition,[status(thm)],[c_1471,c_46549]) ).
tcf(c_46592,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_46549]) ).
tcf(c_46593,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK4(X0,X1) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_46549]) ).
tcf(c_46594,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_46549]) ).
tcf(c_46595,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_46549]) ).
tcf(c_46596,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_46549]) ).
tcf(c_46598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X2)))) = sK7(X0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X1)))) = sK4(sK3,image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3828,c_46549]) ).
tcf(c_46599,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2543,c_46549]) ).
tcf(c_46600,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2542,c_46549]) ).
tcf(c_46601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X2)))) = sK8(X0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X1)))) = sK4(sK3,inverse_image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3852,c_46549]) ).
tcf(c_46602,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_36595,c_46549]) ).
tcf(c_46603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK7(X1,X0,sK4(image3(X1,X0,X2),X3)) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_46549]) ).
tcf(c_46604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_46549]) ).
tcf(c_46605,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) = sK7(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_46549]) ).
tcf(c_46608,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_46549]) ).
tcf(c_46609,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_46549]) ).
tcf(c_46610,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_46549]) ).
tcf(c_46611,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_46549]) ).
tcf(c_46612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_46549]) ).
tcf(c_46614,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4355,c_46549]) ).
tcf(c_46615,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_46549]) ).
tcf(c_46616,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_46549]) ).
tcf(c_46617,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_46549]) ).
tcf(c_46618,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_46549]) ).
tcf(c_46619,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_46549]) ).
tcf(c_46620,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_46549]) ).
tcf(c_46621,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK7(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_46549]) ).
tcf(c_46622,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_46549]) ).
tcf(c_46623,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_46549]) ).
tcf(c_46624,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_46549]) ).
tcf(c_46625,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) = sK7(sK0,X0,sK5(sK0,sK2,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_46549]) ).
tcf(c_46626,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_46549]) ).
tcf(c_46627,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_46549]) ).
tcf(c_46628,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_46549]) ).
tcf(c_46629,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) = sK8(sK0,X0,sK6(sK0,sK1,X1)) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_46549]) ).
tcf(c_46630,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_46549]) ).
tcf(c_46631,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_46549]) ).
tcf(c_46633,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_46549]) ).
tcf(c_46634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23803,c_46549]) ).
tcf(c_46635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23713,c_46549]) ).
tcf(c_46636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_24104,c_46549]) ).
tcf(c_46637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_23897,c_46549]) ).
tcf(c_46638,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK4(image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_36596,c_46549]) ).
tcf(c_46639,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK4(inverse_image3(X0,X1,sK3),X2) ) ),
inference(superposition,[status(thm)],[c_36597,c_46549]) ).
tcf(c_47217,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_54,c_46571]) ).
tcf(c_47218,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_46571]) ).
tcf(c_47219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(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_954,c_46571]) ).
tcf(c_47220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(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_962,c_46571]) ).
tcf(c_47221,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_46571]) ).
tcf(c_47222,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_46571]) ).
tcf(c_47223,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(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_972,c_46571]) ).
tcf(c_47224,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_46571]) ).
tcf(c_47225,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_46571]) ).
tcf(c_47226,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_46571]) ).
tcf(c_47227,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) = sK5(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_46571]) ).
tcf(c_47228,plain,
! [X0: $i] :
( ( sK8(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_974,c_46571]) ).
tcf(c_47229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1010,c_46571]) ).
tcf(c_47230,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1022,c_46571]) ).
tcf(c_47231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(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_1377,c_46571]) ).
tcf(c_47232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1379,c_46571]) ).
tcf(c_47233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(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_1380,c_46571]) ).
tcf(c_47234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1382,c_46571]) ).
tcf(c_47235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(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_1383,c_46571]) ).
tcf(c_47236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(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_1465,c_46571]) ).
tcf(c_47237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(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_1468,c_46571]) ).
tcf(c_47238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(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_1471,c_46571]) ).
tcf(c_47239,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_46571]) ).
tcf(c_47240,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_46571]) ).
tcf(c_47241,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_46571]) ).
tcf(c_47242,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_46571]) ).
tcf(c_47243,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(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_2377,c_46571]) ).
tcf(c_47244,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3828,c_46571]) ).
tcf(c_47245,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2543,c_46571]) ).
tcf(c_47246,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2542,c_46571]) ).
tcf(c_47247,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3852,c_46571]) ).
tcf(c_47248,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_15043,c_46571]) ).
tcf(c_47249,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_4346,c_46571]) ).
tcf(c_47250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_46571]) ).
tcf(c_47251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_46571]) ).
tcf(c_47253,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_46571]) ).
tcf(c_47254,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_46571]) ).
tcf(c_47255,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_46571]) ).
tcf(c_47257,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_46571]) ).
tcf(c_47258,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_46571]) ).
tcf(c_47259,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_46571]) ).
tcf(c_47261,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_46571]) ).
tcf(c_47262,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_46571]) ).
tcf(c_47263,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_46571]) ).
tcf(c_47264,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_46571]) ).
tcf(c_47265,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_46571]) ).
tcf(c_47266,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_46571]) ).
tcf(c_47267,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_46571]) ).
tcf(c_47268,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_46571]) ).
tcf(c_47269,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_46571]) ).
tcf(c_47270,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_46571]) ).
tcf(c_47271,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_46571]) ).
tcf(c_47273,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_46571]) ).
tcf(c_47274,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_46571]) ).
tcf(c_47275,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_46571]) ).
tcf(c_47276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23803,c_46571]) ).
tcf(c_47277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23713,c_46571]) ).
tcf(c_47278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_24104,c_46571]) ).
tcf(c_47279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23897,c_46571]) ).
tcf(c_47280,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(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_35725,c_46571]) ).
tcf(c_47774,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) = sK6(sK0,sK1,sK4(sK2,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_46592]) ).
tcf(c_47775,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_46592]) ).
tcf(c_47776,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_46592]) ).
tcf(c_47777,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_46592]) ).
tcf(c_47778,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_46592]) ).
tcf(c_47779,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_46592]) ).
tcf(c_47780,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_46592]) ).
tcf(c_47782,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_46592]) ).
tcf(c_47783,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_46592]) ).
tcf(c_47784,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_46592]) ).
tcf(c_47785,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_46592]) ).
tcf(c_47786,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_46592]) ).
tcf(c_47787,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_46592]) ).
tcf(c_47788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_46592]) ).
tcf(c_47789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_46592]) ).
tcf(c_47790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_46592]) ).
tcf(c_47791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_46592]) ).
tcf(c_47792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_46592]) ).
tcf(c_47793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_46592]) ).
tcf(c_47794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_46592]) ).
tcf(c_47795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_46592]) ).
tcf(c_47796,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_46592]) ).
tcf(c_47797,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_46592]) ).
tcf(c_47798,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_46592]) ).
tcf(c_47799,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_46592]) ).
tcf(c_47800,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_46592]) ).
tcf(c_47801,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_46592]) ).
tcf(c_47802,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_46592]) ).
tcf(c_47803,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_46592]) ).
tcf(c_47804,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_46592]) ).
tcf(c_47805,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_46592]) ).
tcf(c_47806,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_46592]) ).
tcf(c_47807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_46592]) ).
tcf(c_47808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_46592]) ).
tcf(c_47809,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_46592]) ).
tcf(c_47812,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_46592]) ).
tcf(c_47813,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_46592]) ).
tcf(c_47814,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_46592]) ).
tcf(c_47815,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_46592]) ).
tcf(c_47816,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_46592]) ).
tcf(c_47818,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_4355,c_46592]) ).
tcf(c_47819,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_46592]) ).
tcf(c_47820,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_46592]) ).
tcf(c_47821,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_46592]) ).
tcf(c_47822,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_46592]) ).
tcf(c_47823,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_46592]) ).
tcf(c_47824,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_46592]) ).
tcf(c_47825,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_46592]) ).
tcf(c_47826,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_46592]) ).
tcf(c_47827,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_46592]) ).
tcf(c_47828,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_46592]) ).
tcf(c_47829,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_46592]) ).
tcf(c_47830,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_46592]) ).
tcf(c_47831,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_46592]) ).
tcf(c_47832,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_46592]) ).
tcf(c_47833,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_46592]) ).
tcf(c_47834,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_46592]) ).
tcf(c_47835,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_46592]) ).
tcf(c_47837,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_46592]) ).
tcf(c_47838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_46592]) ).
tcf(c_47839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_46592]) ).
tcf(c_47840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_46592]) ).
tcf(c_47841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_46592]) ).
tcf(c_47842,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_46592]) ).
tcf(c_47843,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_46592]) ).
tcf(c_47844,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_46592]) ).
tcf(c_48124,plain,
~ subset(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_34600,c_52,c_1140,c_1139,c_1520,c_1665,c_1664,c_4974,c_11463,c_45396]) ).
tcf(c_48334,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_54,c_47218]) ).
tcf(c_48335,plain,
! [X0: $i] :
( ( sK8(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_362,c_47218]) ).
tcf(c_48336,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_954,c_47218]) ).
tcf(c_48337,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_962,c_47218]) ).
tcf(c_48338,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39638,c_47218]) ).
tcf(c_48339,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_47218]) ).
tcf(c_48340,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_47218]) ).
tcf(c_48342,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_47218]) ).
tcf(c_48343,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_47218]) ).
tcf(c_48344,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(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))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4065,c_47218]) ).
tcf(c_48345,plain,
! [X0: $i] :
( ( sK8(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))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_47218]) ).
tcf(c_48346,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1010,c_47218]) ).
tcf(c_48347,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1022,c_47218]) ).
tcf(c_48348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_47218]) ).
tcf(c_48349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1379,c_47218]) ).
tcf(c_48350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1380,c_47218]) ).
tcf(c_48351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1382,c_47218]) ).
tcf(c_48352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1383,c_47218]) ).
tcf(c_48353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_47218]) ).
tcf(c_48354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1468,c_47218]) ).
tcf(c_48355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1471,c_47218]) ).
tcf(c_48356,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_47218]) ).
tcf(c_48357,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_47218]) ).
tcf(c_48358,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_47218]) ).
tcf(c_48359,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_47218]) ).
tcf(c_48360,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_47218]) ).
tcf(c_48362,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3828,c_47218]) ).
tcf(c_48363,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2543,c_47218]) ).
tcf(c_48364,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2542,c_47218]) ).
tcf(c_48365,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3852,c_47218]) ).
tcf(c_48366,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_36595,c_47218]) ).
tcf(c_48367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_47218]) ).
tcf(c_48368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_47218]) ).
tcf(c_48369,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_47218]) ).
tcf(c_48372,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_47218]) ).
tcf(c_48373,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_47218]) ).
tcf(c_48374,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_47218]) ).
tcf(c_48375,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_47218]) ).
tcf(c_48376,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_21828,c_47218]) ).
tcf(c_48378,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK3)
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4355,c_47218]) ).
tcf(c_48379,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_47218]) ).
tcf(c_48380,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_47218]) ).
tcf(c_48381,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_47218]) ).
tcf(c_48382,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_47218]) ).
tcf(c_48383,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_47218]) ).
tcf(c_48384,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_47218]) ).
tcf(c_48385,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_47218]) ).
tcf(c_48386,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_47218]) ).
tcf(c_48387,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_47218]) ).
tcf(c_48388,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_47218]) ).
tcf(c_48389,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_47218]) ).
tcf(c_48390,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_47218]) ).
tcf(c_48391,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_47218]) ).
tcf(c_48392,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_47218]) ).
tcf(c_48393,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_47218]) ).
tcf(c_48394,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_47218]) ).
tcf(c_48395,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_47218]) ).
tcf(c_48397,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_47218]) ).
tcf(c_48398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23803,c_47218]) ).
tcf(c_48399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23713,c_47218]) ).
tcf(c_48400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_24104,c_47218]) ).
tcf(c_48401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23897,c_47218]) ).
tcf(c_48402,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36596,c_47218]) ).
tcf(c_48403,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36597,c_47218]) ).
tcf(c_48759,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_47243]) ).
tcf(c_48760,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_1118,c_47243]) ).
tcf(c_48773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1473,c_39808]) ).
tcf(c_48774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X2,X3,sK2)),X6)
| member(sK4(inverse_image3(X4,X5,inverse_image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) = sK4(inverse_image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1473,c_5022]) ).
tcf(c_48775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ subset(X2,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_37758]) ).
tcf(c_48776,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1473,c_35735]) ).
tcf(c_48777,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_35874]) ).
tcf(c_48778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,inverse_image3(X2,X3,sK2)),X6)
| member(sK4(image3(X4,X5,inverse_image3(X2,X3,sK2)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) = sK4(inverse_image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1473,c_4827]) ).
tcf(c_48779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_4114]) ).
tcf(c_48780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ member(X2,sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_3710]) ).
tcf(c_48781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ member(X2,sK1)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_3604]) ).
tcf(c_48782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1473,c_2541]) ).
tcf(c_48783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_1067]) ).
tcf(c_48784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X3))) = sK4(inverse_image3(X0,X1,sK2),X3) )
| ~ member(X2,sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_1036]) ).
tcf(c_48785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_2397]) ).
tcf(c_48786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK2),X4)
| member(sK4(inverse_image3(X2,X3,sK2),X4),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X2,X3,sK2),X0))) = sK4(inverse_image3(X2,X3,sK2),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1473,c_993]) ).
tcf(c_48787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_5025]) ).
tcf(c_48788,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,sK2)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_4830]) ).
tcf(c_48789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| apply(X2,sK7(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),sK4(inverse_image3(X0,X1,sK2),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_1245]) ).
tcf(c_48790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK7(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_1011]) ).
tcf(c_48791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK4(inverse_image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_994]) ).
tcf(c_48792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7)
| member(sK4(inverse_image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_5028]) ).
tcf(c_48793,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,sK2)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK2)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_4833]) ).
tcf(c_48794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| apply(X2,sK4(inverse_image3(X0,X1,sK2),X5),sK8(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_1267]) ).
tcf(c_48795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK8(X2,X3,sK4(inverse_image3(X0,X1,sK2),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_1023]) ).
tcf(c_48796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK2),X5)
| member(sK4(inverse_image3(X0,X1,sK2),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) ) ),
inference(superposition,[status(thm)],[c_1473,c_995]) ).
tcf(c_48797,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK2))) = sK4(inverse_image3(X0,X1,sK2),sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_1473,c_1180]) ).
tcf(c_48798,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK2))) = sK4(inverse_image3(X0,X1,sK2),sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) ) ),
inference(superposition,[status(thm)],[c_1473,c_1120]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) = sK8(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) = sK4(inverse_image3(X0,X1,sK2),sK1) ) ),
inference(superposition,[status(thm)],[c_1473,c_24240]) ).
tcf(c_48800,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) = sK4(inverse_image3(X0,X1,sK2),sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))) ) ),
inference(superposition,[status(thm)],[c_1473,c_1205]) ).
tcf(c_48801,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK1))) = sK4(inverse_image3(X0,X1,sK2),sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK2),X2)) ) ),
inference(superposition,[status(thm)],[c_1473,c_1149]) ).
tcf(c_48802,plain,
! [X0: $i,X1: $i] :
( subset(inverse_image3(X0,X1,sK2),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),sK3))) = sK4(inverse_image3(X0,X1,sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_1473,c_36920]) ).
tcf(c_48803,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,sK2,sK2),X1))) = sK4(inverse_image3(sK0,sK2,sK2),X1) )
| ~ member(X0,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1473,c_1677]) ).
tcf(c_48804,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(sK0,X0,sK2),X2))) = sK4(inverse_image3(sK0,X0,sK2),X2) )
| ~ member(X1,sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_1473,c_6688]) ).
tcf(c_49070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_46570,c_39808]) ).
tcf(c_49071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK2),X4)
| member(sK4(inverse_image3(X2,X3,sK2),X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_5022]) ).
tcf(c_49072,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37758]) ).
tcf(c_49073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_46570,c_35735]) ).
tcf(c_49074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_35874]) ).
tcf(c_49075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK2),X4)
| member(sK4(image3(X2,X3,sK2),X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_4827]) ).
tcf(c_49076,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_4114]) ).
tcf(c_49077,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_3710]) ).
tcf(c_49078,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_3604]) ).
tcf(c_49079,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_46570,c_2541]) ).
tcf(c_49080,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_1067]) ).
tcf(c_49081,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_1036]) ).
tcf(c_49082,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_2397]) ).
tcf(c_49083,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK2,X2)
| member(sK4(sK2,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_993]) ).
tcf(c_49084,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37757]) ).
tcf(c_49085,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_36569]) ).
tcf(c_49086,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_46570,c_2396]) ).
tcf(c_49087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_5025]) ).
tcf(c_49088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_4830]) ).
tcf(c_49089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK7(X0,X1,sK4(sK2,X3)),sK4(sK2,X3))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_1245]) ).
tcf(c_49090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK7(X0,X1,sK4(sK2,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_1011]) ).
tcf(c_49091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_994]) ).
tcf(c_49092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK2),X5)
| member(sK4(inverse_image3(X3,X4,sK2),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_5028]) ).
tcf(c_49093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK2),X5)
| member(sK4(image3(X3,X4,sK2),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_4833]) ).
tcf(c_49094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| apply(X0,sK4(sK2,X3),sK8(X0,X1,sK4(sK2,X3)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_1267]) ).
tcf(c_49095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK8(X0,X1,sK4(sK2,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_1023]) ).
tcf(c_49096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK2,X3)
| member(sK4(sK2,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_995]) ).
tcf(c_49097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37760]) ).
tcf(c_49098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37761]) ).
tcf(c_49099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)),sK4(image3(X3,X4,sK3),X5))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35875]) ).
tcf(c_49100,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35876]) ).
tcf(c_49101,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35877]) ).
tcf(c_49102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X3,X4,X0)))) = sK4(sK2,image3(X3,X4,X0)) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_4970]) ).
tcf(c_49103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_4117]) ).
tcf(c_49104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_3713]) ).
tcf(c_49105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) = sK4(sK2,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_4972]) ).
tcf(c_49106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_1068]) ).
tcf(c_49107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2398]) ).
tcf(c_49108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,X3)))) = sK4(sK2,image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_1069]) ).
tcf(c_49109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2399]) ).
tcf(c_49110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2400]) ).
tcf(c_49111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK8(X1,X2,sK4(X0,X4)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37763]) ).
tcf(c_49112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_37764]) ).
tcf(c_49113,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),sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35878]) ).
tcf(c_49114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK8(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35879]) ).
tcf(c_49115,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_35880]) ).
tcf(c_49116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X3,X4,X0)))) = sK4(sK2,inverse_image3(X3,X4,X0)) )
| ~ member(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_5192]) ).
tcf(c_49117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_4120]) ).
tcf(c_49118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_3716]) ).
tcf(c_49119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) = sK4(sK2,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_5194]) ).
tcf(c_49120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK5(sK0,sK2,X0)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_1070]) ).
tcf(c_49121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2401]) ).
tcf(c_49122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2402]) ).
tcf(c_49123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,X3)))) = sK4(sK2,inverse_image3(X1,X2,X3)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_1071]) ).
tcf(c_49124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2403]) ).
tcf(c_49125,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_46570,c_1180]) ).
tcf(c_49126,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_46570,c_1120]) ).
tcf(c_49127,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK4(sK2,X0)) = sK8(sK0,sK2,sK4(sK2,X0)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) ) ),
inference(superposition,[status(thm)],[c_46570,c_24240]) ).
tcf(c_49128,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) ) ),
inference(superposition,[status(thm)],[c_46570,c_1205]) ).
tcf(c_49129,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,X0)))) = sK5(sK0,sK2,sK4(sK2,X0)) ) ),
inference(superposition,[status(thm)],[c_46570,c_1149]) ).
tcf(c_49130,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_46570,c_47243]) ).
tcf(c_49131,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_46570,c_2408]) ).
tcf(c_49132,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) ) ),
inference(superposition,[status(thm)],[c_46570,c_24247]) ).
tcf(c_49133,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_46570,c_2409]) ).
tcf(c_49134,plain,
( subset(sK2,sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) ) ),
inference(superposition,[status(thm)],[c_46570,c_36920]) ).
tcf(c_49135,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_5219]) ).
tcf(c_49136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,image3(X3,X4,X5))))) = sK4(sK2,image3(X1,X2,image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_12485]) ).
tcf(c_49137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_12487]) ).
tcf(c_49138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))))) = sK4(sK2,image3(X1,X2,inverse_image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_12727]) ).
tcf(c_49139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_12729]) ).
tcf(c_49140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))))) = sK4(sK2,inverse_image3(X1,X2,image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_13694]) ).
tcf(c_49141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_13696]) ).
tcf(c_49142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X0),X5)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))))) = sK4(sK2,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46570,c_14066]) ).
tcf(c_49143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_14068]) ).
tcf(c_49156,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49082,c_948]) ).
tcf(c_49176,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49080,c_948]) ).
tcf(c_49186,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49072,c_948]) ).
tcf(c_49216,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49077,c_948]) ).
tcf(c_49236,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49076,c_948]) ).
tcf(c_49245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49074,c_948]) ).
tcf(c_49669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,image3(X2,X0,X5)),X6)
| member(sK7(X2,X0,sK4(inverse_image3(X3,X4,image3(X2,X0,X5)),X6)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1467,c_55]) ).
tcf(c_49670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7)
| apply(X0,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))) ),
inference(superposition,[status(thm)],[c_1467,c_65]) ).
tcf(c_49671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7)
| member(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1467,c_64]) ).
tcf(c_49672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X0,image3(X1,X2,X3),X6)),X7)
| member(sK7(X0,image3(X1,X2,X3),sK4(inverse_image3(X4,X5,image3(X0,image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1467,c_63]) ).
tcf(c_49673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)
| apply(X0,sK7(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)),sK8(X0,X2,sK7(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)))) ),
inference(superposition,[status(thm)],[c_1467,c_69]) ).
tcf(c_49674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X2,inverse_image3(X0,X1,X3),X6)),X7)
| member(sK8(X0,X1,sK7(X2,inverse_image3(X0,X1,X3),sK4(inverse_image3(X4,X5,image3(X2,inverse_image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1467,c_68]) ).
tcf(c_49675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,image3(X0,inverse_image3(X1,X2,X3),X6)),X7)
| member(sK7(X0,inverse_image3(X1,X2,X3),sK4(inverse_image3(X4,X5,image3(X0,inverse_image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1467,c_67]) ).
tcf(c_49676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1467,c_47218]) ).
tcf(c_49677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_46592]) ).
tcf(c_49678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1467,c_46549]) ).
tcf(c_49679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_22454]) ).
tcf(c_49680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_21013]) ).
tcf(c_49681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_17762]) ).
tcf(c_49682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_16596]) ).
tcf(c_49683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_16329]) ).
tcf(c_49684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_16026]) ).
tcf(c_49685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_19577]) ).
tcf(c_49686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_14204]) ).
tcf(c_49687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_13122]) ).
tcf(c_49688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_3997]) ).
tcf(c_49689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_5599]) ).
tcf(c_49690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_3998]) ).
tcf(c_49691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_1204]) ).
tcf(c_49692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1467,c_1148]) ).
tcf(c_49693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1467,c_1111]) ).
tcf(c_49694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1467,c_46571]) ).
tcf(c_49695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_22437]) ).
tcf(c_49696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_19101]) ).
tcf(c_49697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_19098]) ).
tcf(c_49698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_17745]) ).
tcf(c_49699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_16312]) ).
tcf(c_49700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_16009]) ).
tcf(c_49701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_19099]) ).
tcf(c_49702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_19102]) ).
tcf(c_49703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_14187]) ).
tcf(c_49704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_5588]) ).
tcf(c_49705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_1826]) ).
tcf(c_49706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_1179]) ).
tcf(c_49707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1467,c_1119]) ).
tcf(c_49708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X1,X0,X4)),X5)
| member(sK7(X1,X0,sK4(inverse_image3(X2,X3,image3(X1,X0,X4)),X5)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_46048]) ).
tcf(c_49709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK8(sK0,X6,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ subset(sK2,X6)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_6689]) ).
tcf(c_49710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,X6,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ subset(sK1,X6)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_5259]) ).
tcf(c_49711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK8(sK0,X6,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK2,X6)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_6690]) ).
tcf(c_49712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_4256]) ).
tcf(c_49713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(sK0,X6,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK1,X6)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_5260]) ).
tcf(c_49714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_4257]) ).
tcf(c_49715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK8(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_1678]) ).
tcf(c_49716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK1,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)))
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_1594]) ).
tcf(c_49717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK8(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK2)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_1679]) ).
tcf(c_49718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(sK0,sK1,sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5))),sK1)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_1595]) ).
tcf(c_49719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK3,X3)),X4)
| member(sK7(X0,sK3,sK4(inverse_image3(X1,X2,image3(X0,sK3,X3)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_1467,c_36577]) ).
tcf(c_49720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)
| member(sK7(X0,image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,image3(X0,image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_40260]) ).
tcf(c_49721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)
| member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK7(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1467,c_40364]) ).
tcf(c_49994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,inverse_image3(X2,X0,X5)),X6)
| member(sK8(X2,X0,sK4(inverse_image3(X3,X4,inverse_image3(X2,X0,X5)),X6)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1470,c_55]) ).
tcf(c_49995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7)
| apply(X0,sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))),sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))) ),
inference(superposition,[status(thm)],[c_1470,c_65]) ).
tcf(c_49996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7)
| member(sK7(X0,X1,sK8(X2,image3(X0,X1,X3),sK4(inverse_image3(X4,X5,inverse_image3(X2,image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1470,c_64]) ).
tcf(c_49997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X0,image3(X1,X2,X3),X6)),X7)
| member(sK8(X0,image3(X1,X2,X3),sK4(inverse_image3(X4,X5,inverse_image3(X0,image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1470,c_63]) ).
tcf(c_49998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)
| apply(X0,sK8(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)),sK8(X0,X2,sK8(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X4,X5,inverse_image3(X1,inverse_image3(X0,X2,X3),X6)),X7)))) ),
inference(superposition,[status(thm)],[c_1470,c_69]) ).
tcf(c_49999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X2,inverse_image3(X0,X1,X3),X6)),X7)
| member(sK8(X0,X1,sK8(X2,inverse_image3(X0,X1,X3),sK4(inverse_image3(X4,X5,inverse_image3(X2,inverse_image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1470,c_68]) ).
tcf(c_50000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X4,X5,inverse_image3(X0,inverse_image3(X1,X2,X3),X6)),X7)
| member(sK8(X0,inverse_image3(X1,X2,X3),sK4(inverse_image3(X4,X5,inverse_image3(X0,inverse_image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1470,c_67]) ).
tcf(c_50001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1470,c_47218]) ).
tcf(c_50002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_46592]) ).
tcf(c_50003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1470,c_46549]) ).
tcf(c_50004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_22454]) ).
tcf(c_50005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_21013]) ).
tcf(c_50006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_17762]) ).
tcf(c_50007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_16596]) ).
tcf(c_50008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_16329]) ).
tcf(c_50009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_16026]) ).
tcf(c_50010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_19577]) ).
tcf(c_50011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_14204]) ).
tcf(c_50012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_13122]) ).
tcf(c_50013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_3997]) ).
tcf(c_50014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_5599]) ).
tcf(c_50015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_3998]) ).
tcf(c_50016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_1204]) ).
tcf(c_50017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1470,c_1148]) ).
tcf(c_50018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_1470,c_1111]) ).
tcf(c_50019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1470,c_46571]) ).
tcf(c_50020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_22437]) ).
tcf(c_50021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_19101]) ).
tcf(c_50022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_19098]) ).
tcf(c_50023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_17745]) ).
tcf(c_50024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_16312]) ).
tcf(c_50025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_16009]) ).
tcf(c_50026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_19099]) ).
tcf(c_50027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_19102]) ).
tcf(c_50028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_14187]) ).
tcf(c_50029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_5588]) ).
tcf(c_50030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_1826]) ).
tcf(c_50031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_1179]) ).
tcf(c_50032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1470,c_1119]) ).
tcf(c_50033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X1,X0,X4)),X5)
| member(sK8(X1,X0,sK4(inverse_image3(X2,X3,inverse_image3(X1,X0,X4)),X5)),sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_46048]) ).
tcf(c_50034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK8(sK0,X6,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))))
| ~ subset(sK2,X6)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_6689]) ).
tcf(c_50035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,X6,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ subset(sK1,X6)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_5259]) ).
tcf(c_50036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK8(sK0,X6,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK2,X6)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_6690]) ).
tcf(c_50037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_4256]) ).
tcf(c_50038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK7(sK0,X6,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK1,X6)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_5260]) ).
tcf(c_50039,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(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_4257]) ).
tcf(c_50040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_1678]) ).
tcf(c_50041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| apply(sK0,sK7(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)))
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_1594]) ).
tcf(c_50042,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(sK8(sK0,sK2,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK2)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_1679]) ).
tcf(c_50043,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(sK0,sK1,sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5))),sK1)
| ~ member(sK8(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_1595]) ).
tcf(c_50044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK3,X3)),X4)
| member(sK8(X0,sK3,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK3,X3)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_1470,c_36577]) ).
tcf(c_50045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)
| member(sK8(X0,image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK8(X0,image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,inverse_image3(X0,image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_40260]) ).
tcf(c_50046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)
| member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK2)
| ~ member(sK8(X0,inverse_image3(X1,X2,sK3),sK4(inverse_image3(X3,X4,inverse_image3(X0,inverse_image3(X1,X2,sK3),X5)),X6)),sK1) ),
inference(superposition,[status(thm)],[c_1470,c_40364]) ).
tcf(c_50373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_3606]) ).
tcf(c_50374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_3606]) ).
tcf(c_50375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,X3))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_3606]) ).
tcf(c_50388,plain,
~ subset(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_37801,c_48124]) ).
tcf(c_50390,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3),
inference(superposition,[status(thm)],[c_46570,c_50388]) ).
tcf(c_50391,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_1178,c_50388]) ).
tcf(c_50392,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3),
inference(superposition,[status(thm)],[c_1118,c_50388]) ).
tcf(c_50394,plain,
( apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50390,c_5393]) ).
tcf(c_50396,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50390,c_3327]) ).
tcf(c_50397,plain,
( apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50390,c_13000]) ).
tcf(c_50399,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ~ subset(sK2,sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50390,c_9340]) ).
tcf(c_50408,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50392,c_44494]) ).
tcf(c_50409,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_23012]) ).
tcf(c_50410,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_22911]) ).
tcf(c_50411,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_19000]) ).
tcf(c_50412,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_20064]) ).
tcf(c_50413,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_19900]) ).
tcf(c_50414,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_18992]) ).
tcf(c_50415,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_8812]) ).
tcf(c_50416,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_12007]) ).
tcf(c_50417,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_7788]) ).
tcf(c_50418,plain,
( member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_6908]) ).
tcf(c_50419,plain,
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_2271]) ).
tcf(c_50420,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_4535]) ).
tcf(c_50421,plain,
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_2041]) ).
tcf(c_50422,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_3258]) ).
tcf(c_50423,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X1,X0))
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),X0) ),
inference(superposition,[status(thm)],[c_50392,c_1299]) ).
tcf(c_50424,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(sK2,sK3)),inverse_image3(sK0,X1,X0))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50392,c_1319]) ).
tcf(c_50425,plain,
( apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_353]) ).
tcf(c_50426,plain,
( member(sK4(sK2,sK3),sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_362]) ).
tcf(c_50427,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_28808]) ).
tcf(c_50428,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_28733]) ).
tcf(c_50429,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_6917]) ).
tcf(c_50430,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_19910]) ).
tcf(c_50431,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_20729]) ).
tcf(c_50432,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_20455]) ).
tcf(c_50433,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_19094]) ).
tcf(c_50434,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_12939]) ).
tcf(c_50435,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_7381]) ).
tcf(c_50436,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_3265]) ).
tcf(c_50437,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_974]) ).
tcf(c_50438,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_7389]) ).
tcf(c_50497,plain,
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_50421,c_50392]) ).
tcf(c_50507,plain,
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_50419,c_50392]) ).
tcf(c_50511,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_50417,c_50392]) ).
tcf(c_50528,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_50408,c_50392]) ).
tcf(c_50533,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_50415,c_50392]) ).
tcf(c_50538,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X0,X1))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_50423,c_50392]) ).
tcf(c_50560,plain,
member(sK4(sK2,sK3),sK2),
inference(global_subsumption_just,[status(thm)],[c_50426,c_25482,c_48124]) ).
tcf(c_50562,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_50560,c_55]) ).
tcf(c_50563,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50560,c_47218]) ).
tcf(c_50564,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_46592]) ).
tcf(c_50566,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_22454]) ).
tcf(c_50567,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_21013]) ).
tcf(c_50568,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_17762]) ).
tcf(c_50569,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_16596]) ).
tcf(c_50570,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_16329]) ).
tcf(c_50571,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_16026]) ).
tcf(c_50572,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_19577]) ).
tcf(c_50573,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_14204]) ).
tcf(c_50574,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_13122]) ).
tcf(c_50575,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_3997]) ).
tcf(c_50576,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_5599]) ).
tcf(c_50577,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_3998]) ).
tcf(c_50578,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50560,c_1204]) ).
tcf(c_50582,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50560,c_6689]) ).
tcf(c_50583,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_5259]) ).
tcf(c_50584,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50560,c_6690]) ).
tcf(c_50585,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_4256]) ).
tcf(c_50586,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_5260]) ).
tcf(c_50587,plain,
( member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_4257]) ).
tcf(c_50588,plain,
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50560,c_1678]) ).
tcf(c_50589,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_1594]) ).
tcf(c_50590,plain,
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50560,c_1679]) ).
tcf(c_50591,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50560,c_1595]) ).
tcf(c_50594,plain,
member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_50591,c_50560]) ).
tcf(c_50597,plain,
apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_50589,c_50560]) ).
tcf(c_50600,plain,
( member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50587,c_50560]) ).
tcf(c_50603,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50586,c_50560]) ).
tcf(c_50609,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50585,c_50560]) ).
tcf(c_50612,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50583,c_50560]) ).
tcf(c_50630,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_50572,c_50392]) ).
tcf(c_50641,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_50567,c_50392]) ).
tcf(c_50871,plain,
apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),sK4(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_50425,c_52,c_1140,c_1139,c_1520,c_1665,c_1664,c_4974,c_11463,c_25482,c_45396,c_50394]) ).
tcf(c_50873,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK4(sK2,sK3)),inverse_image3(sK0,X1,X0))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50871,c_66]) ).
tcf(c_50874,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X0,X1))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50871,c_62]) ).
tcf(c_50876,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50871,c_332]) ).
tcf(c_50885,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50876,c_50560]) ).
tcf(c_50911,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_319,c_50414]) ).
tcf(c_50915,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50911,c_50560]) ).
tcf(c_50926,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_46610]) ).
tcf(c_50927,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_46610]) ).
tcf(c_50928,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_46610]) ).
tcf(c_50929,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_46610]) ).
tcf(c_50930,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_46610]) ).
tcf(c_50931,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_46610]) ).
tcf(c_50933,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_46610]) ).
tcf(c_50934,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_46610]) ).
tcf(c_50935,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_46610]) ).
tcf(c_50936,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_46610]) ).
tcf(c_50937,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_46610]) ).
tcf(c_50938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_46610]) ).
tcf(c_50939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_46610]) ).
tcf(c_50940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_46610]) ).
tcf(c_50941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_46610]) ).
tcf(c_50942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_46610]) ).
tcf(c_50943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_46610]) ).
tcf(c_50944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_46610]) ).
tcf(c_50945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_46610]) ).
tcf(c_50946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_46610]) ).
tcf(c_50947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_46610]) ).
tcf(c_50948,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_46610]) ).
tcf(c_50949,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_46610]) ).
tcf(c_50951,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_46610]) ).
tcf(c_50952,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_46610]) ).
tcf(c_50953,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_46610]) ).
tcf(c_50954,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_46610]) ).
tcf(c_50955,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_46610]) ).
tcf(c_50956,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_46610]) ).
tcf(c_50957,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_46610]) ).
tcf(c_50958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_46610]) ).
tcf(c_50959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_46610]) ).
tcf(c_50961,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_46610]) ).
tcf(c_50963,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_46610]) ).
tcf(c_50965,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_46610]) ).
tcf(c_50966,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_46610]) ).
tcf(c_50967,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_46610]) ).
tcf(c_50968,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_46610]) ).
tcf(c_50969,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_46610]) ).
tcf(c_50970,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_46610]) ).
tcf(c_50971,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_46610]) ).
tcf(c_50972,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_46610]) ).
tcf(c_50973,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_46610]) ).
tcf(c_50974,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_46610]) ).
tcf(c_50975,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_46610]) ).
tcf(c_50976,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_46610]) ).
tcf(c_50977,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_46610]) ).
tcf(c_50978,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_46610]) ).
tcf(c_50979,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_46610]) ).
tcf(c_50980,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_46610]) ).
tcf(c_50981,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_46610]) ).
tcf(c_50982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_46610]) ).
tcf(c_50983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_46610]) ).
tcf(c_50984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_46610]) ).
tcf(c_50985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_46610]) ).
tcf(c_50986,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_46610]) ).
tcf(c_51317,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_47775]) ).
tcf(c_51318,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_47775]) ).
tcf(c_51319,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_47775]) ).
tcf(c_51320,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_47775]) ).
tcf(c_51321,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_47775]) ).
tcf(c_51322,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_47775]) ).
tcf(c_51324,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_47775]) ).
tcf(c_51325,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_47775]) ).
tcf(c_51326,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_47775]) ).
tcf(c_51327,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_47775]) ).
tcf(c_51328,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_47775]) ).
tcf(c_51329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_47775]) ).
tcf(c_51330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_47775]) ).
tcf(c_51331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_47775]) ).
tcf(c_51332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_47775]) ).
tcf(c_51333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_47775]) ).
tcf(c_51334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_47775]) ).
tcf(c_51335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_47775]) ).
tcf(c_51336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_47775]) ).
tcf(c_51337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_47775]) ).
tcf(c_51338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_47775]) ).
tcf(c_51339,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_47775]) ).
tcf(c_51340,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_47775]) ).
tcf(c_51342,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_47775]) ).
tcf(c_51343,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_47775]) ).
tcf(c_51344,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_47775]) ).
tcf(c_51345,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_47775]) ).
tcf(c_51346,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_47775]) ).
tcf(c_51347,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_47775]) ).
tcf(c_51348,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_47775]) ).
tcf(c_51349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_47775]) ).
tcf(c_51350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_47775]) ).
tcf(c_51352,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_47775]) ).
tcf(c_51354,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_47775]) ).
tcf(c_51356,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_47775]) ).
tcf(c_51357,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_47775]) ).
tcf(c_51358,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_47775]) ).
tcf(c_51359,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_47775]) ).
tcf(c_51360,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_47775]) ).
tcf(c_51361,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_47775]) ).
tcf(c_51362,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_47775]) ).
tcf(c_51363,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_47775]) ).
tcf(c_51364,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_47775]) ).
tcf(c_51365,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_47775]) ).
tcf(c_51366,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_47775]) ).
tcf(c_51367,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_47775]) ).
tcf(c_51368,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_47775]) ).
tcf(c_51369,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_47775]) ).
tcf(c_51370,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_47775]) ).
tcf(c_51371,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_47775]) ).
tcf(c_51372,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_47775]) ).
tcf(c_51373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_47775]) ).
tcf(c_51374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_47775]) ).
tcf(c_51375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_47775]) ).
tcf(c_51376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_47775]) ).
tcf(c_51377,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_47775]) ).
tcf(c_51948,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_47796]) ).
tcf(c_51949,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_47796]) ).
tcf(c_51950,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_47796]) ).
tcf(c_51951,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_47796]) ).
tcf(c_51952,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_47796]) ).
tcf(c_51953,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_47796]) ).
tcf(c_51955,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_47796]) ).
tcf(c_51956,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_47796]) ).
tcf(c_51957,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_47796]) ).
tcf(c_51958,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_47796]) ).
tcf(c_51959,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_47796]) ).
tcf(c_51960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_47796]) ).
tcf(c_51961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_47796]) ).
tcf(c_51962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_47796]) ).
tcf(c_51963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_47796]) ).
tcf(c_51964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_47796]) ).
tcf(c_51965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_47796]) ).
tcf(c_51966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_47796]) ).
tcf(c_51967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_47796]) ).
tcf(c_51968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_47796]) ).
tcf(c_51969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_47796]) ).
tcf(c_51970,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_47796]) ).
tcf(c_51971,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_47796]) ).
tcf(c_51972,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_47796]) ).
tcf(c_51973,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_47796]) ).
tcf(c_51974,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_47796]) ).
tcf(c_51975,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_47796]) ).
tcf(c_51976,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_47796]) ).
tcf(c_51977,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_47796]) ).
tcf(c_51978,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_47796]) ).
tcf(c_51979,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_47796]) ).
tcf(c_51980,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_47796]) ).
tcf(c_51981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_47796]) ).
tcf(c_51982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_47796]) ).
tcf(c_51983,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_47796]) ).
tcf(c_51986,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_47796]) ).
tcf(c_51987,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_47796]) ).
tcf(c_51988,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_47796]) ).
tcf(c_51989,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_47796]) ).
tcf(c_51991,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_47796]) ).
tcf(c_51992,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_47796]) ).
tcf(c_51993,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_47796]) ).
tcf(c_51994,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_47796]) ).
tcf(c_51995,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_47796]) ).
tcf(c_51996,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_47796]) ).
tcf(c_51997,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_47796]) ).
tcf(c_51998,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_47796]) ).
tcf(c_51999,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_47796]) ).
tcf(c_52000,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_47796]) ).
tcf(c_52001,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_47796]) ).
tcf(c_52002,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_47796]) ).
tcf(c_52003,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_47796]) ).
tcf(c_52004,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_47796]) ).
tcf(c_52005,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_47796]) ).
tcf(c_52006,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_47796]) ).
tcf(c_52007,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_47796]) ).
tcf(c_52009,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_47796]) ).
tcf(c_52010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_47796]) ).
tcf(c_52011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_47796]) ).
tcf(c_52012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_47796]) ).
tcf(c_52013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_47796]) ).
tcf(c_52014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_47796]) ).
tcf(c_52015,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_47796]) ).
tcf(c_52016,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_47796]) ).
tcf(c_52017,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_47796]) ).
tcf(c_52520,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_54,c_48335]) ).
tcf(c_52521,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_48335]) ).
tcf(c_52522,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_954,c_48335]) ).
tcf(c_52523,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_962,c_48335]) ).
tcf(c_52524,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_48335]) ).
tcf(c_52525,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_48335]) ).
tcf(c_52526,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_48335]) ).
tcf(c_52527,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_48335]) ).
tcf(c_52528,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_48335]) ).
tcf(c_52529,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_48335]) ).
tcf(c_52530,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_48335]) ).
tcf(c_52531,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_48335]) ).
tcf(c_52532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_48335]) ).
tcf(c_52533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_48335]) ).
tcf(c_52534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1380,c_48335]) ).
tcf(c_52535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_48335]) ).
tcf(c_52536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1383,c_48335]) ).
tcf(c_52537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_48335]) ).
tcf(c_52538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_48335]) ).
tcf(c_52539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1468,c_48335]) ).
tcf(c_52540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_48335]) ).
tcf(c_52541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1471,c_48335]) ).
tcf(c_52542,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_48335]) ).
tcf(c_52543,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_48335]) ).
tcf(c_52544,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_48335]) ).
tcf(c_52545,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_48335]) ).
tcf(c_52546,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_48335]) ).
tcf(c_52547,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_48335]) ).
tcf(c_52548,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2543,c_48335]) ).
tcf(c_52549,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2542,c_48335]) ).
tcf(c_52550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_48335]) ).
tcf(c_52551,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_48335]) ).
tcf(c_52552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_48335]) ).
tcf(c_52553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_48335]) ).
tcf(c_52555,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_48335]) ).
tcf(c_52556,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_48335]) ).
tcf(c_52557,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_48335]) ).
tcf(c_52559,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_48335]) ).
tcf(c_52560,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_48335]) ).
tcf(c_52561,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_48335]) ).
tcf(c_52562,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_48335]) ).
tcf(c_52563,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_48335]) ).
tcf(c_52564,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_48335]) ).
tcf(c_52565,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_48335]) ).
tcf(c_52566,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_48335]) ).
tcf(c_52567,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_48335]) ).
tcf(c_52568,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_48335]) ).
tcf(c_52569,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_48335]) ).
tcf(c_52570,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_48335]) ).
tcf(c_52571,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_48335]) ).
tcf(c_52573,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_48335]) ).
tcf(c_52574,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_48335]) ).
tcf(c_52575,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_48335]) ).
tcf(c_52576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23803,c_48335]) ).
tcf(c_52577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23713,c_48335]) ).
tcf(c_52578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_24104,c_48335]) ).
tcf(c_52579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23897,c_48335]) ).
tcf(c_52580,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_48335]) ).
tcf(c_52914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(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_47280,c_39808]) ).
tcf(c_52915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_47280,c_5022]) ).
tcf(c_52916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_37758]) ).
tcf(c_52917,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(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_47280,c_35735]) ).
tcf(c_52918,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)
| ( sK8(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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_35874]) ).
tcf(c_52919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_47280,c_4827]) ).
tcf(c_52920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_4114]) ).
tcf(c_52921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_3710]) ).
tcf(c_52922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_3604]) ).
tcf(c_52923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(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_47280,c_2541]) ).
tcf(c_52924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_1067]) ).
tcf(c_52925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_1036]) ).
tcf(c_52926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_2397]) ).
tcf(c_52927,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_47280,c_993]) ).
tcf(c_52928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_5025]) ).
tcf(c_52929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_4830]) ).
tcf(c_52930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1245]) ).
tcf(c_52931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1011]) ).
tcf(c_52932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_994]) ).
tcf(c_52933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_5028]) ).
tcf(c_52934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_4833]) ).
tcf(c_52935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1267]) ).
tcf(c_52936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1023]) ).
tcf(c_52937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_995]) ).
tcf(c_52938,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1180]) ).
tcf(c_52940,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_24240]) ).
tcf(c_52941,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_47280,c_1205]) ).
tcf(c_52942,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( 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_47280,c_1149]) ).
tcf(c_52944,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_47280,c_1593]) ).
tcf(c_52945,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_47280,c_5258]) ).
tcf(c_52946,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_47280,c_4255]) ).
tcf(c_53523,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_47814]) ).
tcf(c_53524,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_47814]) ).
tcf(c_53525,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_47814]) ).
tcf(c_53526,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_47814]) ).
tcf(c_53527,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_47814]) ).
tcf(c_53528,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_47814]) ).
tcf(c_53530,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_47814]) ).
tcf(c_53531,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_47814]) ).
tcf(c_53532,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_47814]) ).
tcf(c_53533,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_47814]) ).
tcf(c_53534,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_47814]) ).
tcf(c_53535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_47814]) ).
tcf(c_53536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_47814]) ).
tcf(c_53537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_47814]) ).
tcf(c_53538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_47814]) ).
tcf(c_53539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_47814]) ).
tcf(c_53540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_47814]) ).
tcf(c_53541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_47814]) ).
tcf(c_53542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_47814]) ).
tcf(c_53543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_47814]) ).
tcf(c_53544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_47814]) ).
tcf(c_53545,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_47814]) ).
tcf(c_53546,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_47814]) ).
tcf(c_53548,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_47814]) ).
tcf(c_53549,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_47814]) ).
tcf(c_53550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_47814]) ).
tcf(c_53551,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_47814]) ).
tcf(c_53552,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_47814]) ).
tcf(c_53553,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_47814]) ).
tcf(c_53554,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_47814]) ).
tcf(c_53555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_47814]) ).
tcf(c_53556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_47814]) ).
tcf(c_53558,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_47814]) ).
tcf(c_53560,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_47814]) ).
tcf(c_53562,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_47814]) ).
tcf(c_53563,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_47814]) ).
tcf(c_53564,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_47814]) ).
tcf(c_53565,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_47814]) ).
tcf(c_53566,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_47814]) ).
tcf(c_53567,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_47814]) ).
tcf(c_53568,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_47814]) ).
tcf(c_53569,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_47814]) ).
tcf(c_53570,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_47814]) ).
tcf(c_53571,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_47814]) ).
tcf(c_53572,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_47814]) ).
tcf(c_53573,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_47814]) ).
tcf(c_53574,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_47814]) ).
tcf(c_53575,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_47814]) ).
tcf(c_53576,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_47814]) ).
tcf(c_53577,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_47814]) ).
tcf(c_53578,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_47814]) ).
tcf(c_53579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_47814]) ).
tcf(c_53580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_47814]) ).
tcf(c_53581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_47814]) ).
tcf(c_53582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_47814]) ).
tcf(c_53583,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_47814]) ).
tcf(c_54017,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50562,c_55]) ).
tcf(c_54018,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_65]) ).
tcf(c_54019,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK4(sK2,sK3)),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_64]) ).
tcf(c_54020,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_63]) ).
tcf(c_54021,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK4(sK2,sK3),sK8(X0,X1,sK4(sK2,sK3)))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_69]) ).
tcf(c_54022,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK4(sK2,sK3)),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_68]) ).
tcf(c_54023,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50562,c_67]) ).
tcf(c_54024,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_47796]) ).
tcf(c_54025,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_47218]) ).
tcf(c_54026,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_46592]) ).
tcf(c_54028,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_22454]) ).
tcf(c_54029,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_21013]) ).
tcf(c_54030,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_17762]) ).
tcf(c_54031,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_16596]) ).
tcf(c_54032,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_16329]) ).
tcf(c_54033,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_16026]) ).
tcf(c_54034,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_19577]) ).
tcf(c_54035,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_14204]) ).
tcf(c_54036,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_13122]) ).
tcf(c_54037,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_3997]) ).
tcf(c_54038,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_5599]) ).
tcf(c_54039,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_3998]) ).
tcf(c_54040,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_1204]) ).
tcf(c_54043,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_47814]) ).
tcf(c_54044,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_48335]) ).
tcf(c_54045,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_47775]) ).
tcf(c_54046,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_46610]) ).
tcf(c_54047,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) = sK5(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_46571]) ).
tcf(c_54048,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_22437]) ).
tcf(c_54049,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_19101]) ).
tcf(c_54050,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_19098]) ).
tcf(c_54051,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_17745]) ).
tcf(c_54052,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_16312]) ).
tcf(c_54053,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_16009]) ).
tcf(c_54054,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_19099]) ).
tcf(c_54055,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_19102]) ).
tcf(c_54056,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_14187]) ).
tcf(c_54057,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_5588]) ).
tcf(c_54058,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_1826]) ).
tcf(c_54059,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_1179]) ).
tcf(c_54060,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) = sK5(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_1119]) ).
tcf(c_54062,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X1,sK4(sK2,sK3)))
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50562,c_6689]) ).
tcf(c_54063,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50562,c_5259]) ).
tcf(c_54064,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK4(sK2,sK3)),X1)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50562,c_6690]) ).
tcf(c_54066,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2) ),
inference(superposition,[status(thm)],[c_50562,c_5260]) ).
tcf(c_54068,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50562,c_1678]) ).
tcf(c_54070,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50562,c_1679]) ).
tcf(c_54073,plain,
( subset(sK2,sK3)
| ( sK5(sK0,sK2,sK4(sK2,sK3)) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_24229]) ).
tcf(c_54094,plain,
( ( sK5(sK0,sK2,sK4(sK2,sK3)) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54073,c_50388]) ).
tcf(c_54100,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54066,c_50560]) ).
tcf(c_54112,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK4(sK2,sK3))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54063,c_50560]) ).
tcf(c_54154,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_54034,c_50392]) ).
tcf(c_54180,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_54029,c_50392]) ).
tcf(c_54291,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54020]) ).
tcf(c_54292,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54020]) ).
tcf(c_54293,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54020]) ).
tcf(c_54533,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54023]) ).
tcf(c_54534,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54023]) ).
tcf(c_54535,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54023]) ).
tcf(c_54553,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_54017]) ).
tcf(c_54554,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_54017]) ).
tcf(c_54555,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_54017]) ).
tcf(c_54556,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_54017]) ).
tcf(c_54557,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_54017]) ).
tcf(c_54558,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_54017]) ).
tcf(c_54565,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_54017]) ).
tcf(c_54566,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_54017]) ).
tcf(c_54567,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),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)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_54017]) ).
tcf(c_54568,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_54017]) ).
tcf(c_54570,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_54017]) ).
tcf(c_54571,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_54017]) ).
tcf(c_54572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_54017]) ).
tcf(c_54573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_54017]) ).
tcf(c_54574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_54017]) ).
tcf(c_54575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_54017]) ).
tcf(c_54576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_54017]) ).
tcf(c_54577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_54017]) ).
tcf(c_54578,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK8(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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_54017]) ).
tcf(c_54579,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_54017]) ).
tcf(c_54580,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_54017]) ).
tcf(c_54581,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_54017]) ).
tcf(c_54607,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54558,c_948]) ).
tcf(c_54610,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54556,c_948]) ).
tcf(c_54625,plain,
! [X0: $i] :
( member(sK4(sK2,sK3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54557,c_948]) ).
tcf(c_54703,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_50594,c_55]) ).
tcf(c_54704,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_47814]) ).
tcf(c_54705,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50594,c_48335]) ).
tcf(c_54706,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_47775]) ).
tcf(c_54707,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_46610]) ).
tcf(c_54708,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50594,c_46571]) ).
tcf(c_54709,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_22437]) ).
tcf(c_54710,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_19101]) ).
tcf(c_54711,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_19098]) ).
tcf(c_54712,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_17745]) ).
tcf(c_54713,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_16312]) ).
tcf(c_54714,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_16009]) ).
tcf(c_54715,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_19099]) ).
tcf(c_54716,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_19102]) ).
tcf(c_54717,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_14187]) ).
tcf(c_54718,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_5588]) ).
tcf(c_54719,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_50594,c_1826]) ).
tcf(c_54720,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50594,c_1179]) ).
tcf(c_54721,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50594,c_1119]) ).
tcf(c_54723,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50594,c_6689]) ).
tcf(c_54724,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_5259]) ).
tcf(c_54725,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50594,c_6690]) ).
tcf(c_54726,plain,
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_4256]) ).
tcf(c_54727,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_5260]) ).
tcf(c_54728,plain,
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_4257]) ).
tcf(c_54729,plain,
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50594,c_1678]) ).
tcf(c_54730,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_1594]) ).
tcf(c_54731,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50594,c_1679]) ).
tcf(c_54732,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50594,c_1595]) ).
tcf(c_54737,plain,
member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_54731,c_50594]) ).
tcf(c_54744,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54725,c_50594]) ).
tcf(c_54749,plain,
apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),
inference(forward_subsumption_resolution,[status(thm)],[c_54729,c_50594]) ).
tcf(c_54756,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54723,c_50594]) ).
tcf(c_54890,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),inverse_image3(sK0,X1,X0))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50597,c_66]) ).
tcf(c_54891,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X0,X1))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50597,c_62]) ).
tcf(c_54892,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50597,c_1092]) ).
tcf(c_54893,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50597,c_332]) ).
tcf(c_54901,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = sK4(sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_54892,c_50560,c_50594]) ).
tcf(c_54902,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54893,c_50560,c_50594]) ).
tcf(c_54909,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_54737,c_55]) ).
tcf(c_54910,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_47796]) ).
tcf(c_54911,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54737,c_47218]) ).
tcf(c_54912,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_46592]) ).
tcf(c_54913,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_54737,c_46549]) ).
tcf(c_54914,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_22454]) ).
tcf(c_54915,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_21013]) ).
tcf(c_54916,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_17762]) ).
tcf(c_54917,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_16596]) ).
tcf(c_54918,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_16329]) ).
tcf(c_54919,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_16026]) ).
tcf(c_54920,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_19577]) ).
tcf(c_54921,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_14204]) ).
tcf(c_54922,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_13122]) ).
tcf(c_54923,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_3997]) ).
tcf(c_54924,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_5599]) ).
tcf(c_54925,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_3998]) ).
tcf(c_54926,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54737,c_1204]) ).
tcf(c_54927,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54737,c_1148]) ).
tcf(c_54928,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_54737,c_1111]) ).
tcf(c_54930,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54737,c_6689]) ).
tcf(c_54931,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_5259]) ).
tcf(c_54932,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54737,c_6690]) ).
tcf(c_54933,plain,
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_4256]) ).
tcf(c_54934,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_5260]) ).
tcf(c_54935,plain,
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_4257]) ).
tcf(c_54936,plain,
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54737,c_1678]) ).
tcf(c_54937,plain,
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_1594]) ).
tcf(c_54938,plain,
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54737,c_1679]) ).
tcf(c_54939,plain,
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54737,c_1595]) ).
tcf(c_54942,plain,
member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_54939,c_54737]) ).
tcf(c_54945,plain,
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54935,c_54737]) ).
tcf(c_54948,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54934,c_54737]) ).
tcf(c_54954,plain,
apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),
inference(forward_subsumption_resolution,[status(thm)],[c_54937,c_54737]) ).
tcf(c_54961,plain,
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54933,c_54737]) ).
tcf(c_54964,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54931,c_54737]) ).
tcf(c_55049,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_50600,c_55]) ).
tcf(c_55050,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_47796]) ).
tcf(c_55051,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_47218]) ).
tcf(c_55052,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_46592]) ).
tcf(c_55053,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_46549]) ).
tcf(c_55054,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_22454]) ).
tcf(c_55055,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_21013]) ).
tcf(c_55056,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_17762]) ).
tcf(c_55057,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_16596]) ).
tcf(c_55058,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_16329]) ).
tcf(c_55059,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_16026]) ).
tcf(c_55060,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_19577]) ).
tcf(c_55061,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_14204]) ).
tcf(c_55062,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_13122]) ).
tcf(c_55063,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_3997]) ).
tcf(c_55064,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_5599]) ).
tcf(c_55065,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_3998]) ).
tcf(c_55066,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_1204]) ).
tcf(c_55067,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_1148]) ).
tcf(c_55068,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_1111]) ).
tcf(c_55070,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50600,c_6689]) ).
tcf(c_55071,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_5259]) ).
tcf(c_55072,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50600,c_6690]) ).
tcf(c_55073,plain,
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_4256]) ).
tcf(c_55074,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_5260]) ).
tcf(c_55075,plain,
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_4257]) ).
tcf(c_55076,plain,
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50600,c_1678]) ).
tcf(c_55077,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_1594]) ).
tcf(c_55078,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50600,c_1679]) ).
tcf(c_55079,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50600,c_1595]) ).
tcf(c_55224,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_48356]) ).
tcf(c_55225,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_48356]) ).
tcf(c_55226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_48356]) ).
tcf(c_55227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_48356]) ).
tcf(c_55228,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_48356]) ).
tcf(c_55229,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_48356]) ).
tcf(c_55231,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_48356]) ).
tcf(c_55232,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_48356]) ).
tcf(c_55233,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_48356]) ).
tcf(c_55234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_48356]) ).
tcf(c_55235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_48356]) ).
tcf(c_55236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_48356]) ).
tcf(c_55237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_48356]) ).
tcf(c_55238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_48356]) ).
tcf(c_55239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_48356]) ).
tcf(c_55240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_48356]) ).
tcf(c_55241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_48356]) ).
tcf(c_55242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_48356]) ).
tcf(c_55243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_48356]) ).
tcf(c_55244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_48356]) ).
tcf(c_55245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_48356]) ).
tcf(c_55246,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_48356]) ).
tcf(c_55247,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_48356]) ).
tcf(c_55248,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_48356]) ).
tcf(c_55249,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_48356]) ).
tcf(c_55250,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_48356]) ).
tcf(c_55251,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_48356]) ).
tcf(c_55252,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_48356]) ).
tcf(c_55253,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_48356]) ).
tcf(c_55254,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_48356]) ).
tcf(c_55255,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_48356]) ).
tcf(c_55256,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_48356]) ).
tcf(c_55257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_48356]) ).
tcf(c_55258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_48356]) ).
tcf(c_55259,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_48356]) ).
tcf(c_55262,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_48356]) ).
tcf(c_55263,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_48356]) ).
tcf(c_55264,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_48356]) ).
tcf(c_55265,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_48356]) ).
tcf(c_55267,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_48356]) ).
tcf(c_55268,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_48356]) ).
tcf(c_55269,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_48356]) ).
tcf(c_55270,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_48356]) ).
tcf(c_55271,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_48356]) ).
tcf(c_55272,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_48356]) ).
tcf(c_55273,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_48356]) ).
tcf(c_55274,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_48356]) ).
tcf(c_55275,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_48356]) ).
tcf(c_55276,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_48356]) ).
tcf(c_55277,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_48356]) ).
tcf(c_55278,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_48356]) ).
tcf(c_55279,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_48356]) ).
tcf(c_55280,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_48356]) ).
tcf(c_55281,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_48356]) ).
tcf(c_55282,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_48356]) ).
tcf(c_55283,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_48356]) ).
tcf(c_55285,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_48356]) ).
tcf(c_55286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_48356]) ).
tcf(c_55287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_48356]) ).
tcf(c_55288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_48356]) ).
tcf(c_55289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_48356]) ).
tcf(c_55290,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_48356]) ).
tcf(c_55291,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_48356]) ).
tcf(c_55292,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_48356]) ).
tcf(c_55293,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_48356]) ).
tcf(c_55294,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_48356]) ).
tcf(c_55295,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_48356]) ).
tcf(c_55296,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_48356]) ).
tcf(c_55777,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_50927]) ).
tcf(c_55778,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_50927]) ).
tcf(c_55779,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_50927]) ).
tcf(c_55780,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_50927]) ).
tcf(c_55781,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_50927]) ).
tcf(c_55782,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_50927]) ).
tcf(c_55784,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_50927]) ).
tcf(c_55785,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_50927]) ).
tcf(c_55786,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_50927]) ).
tcf(c_55787,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_50927]) ).
tcf(c_55788,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_50927]) ).
tcf(c_55789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_50927]) ).
tcf(c_55790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_50927]) ).
tcf(c_55791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_50927]) ).
tcf(c_55792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_50927]) ).
tcf(c_55793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_50927]) ).
tcf(c_55794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_50927]) ).
tcf(c_55795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_50927]) ).
tcf(c_55796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_50927]) ).
tcf(c_55797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_50927]) ).
tcf(c_55798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_50927]) ).
tcf(c_55799,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_50927]) ).
tcf(c_55800,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_50927]) ).
tcf(c_55801,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_50927]) ).
tcf(c_55802,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_50927]) ).
tcf(c_55803,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_50927]) ).
tcf(c_55804,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_50927]) ).
tcf(c_55805,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_50927]) ).
tcf(c_55806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_50927]) ).
tcf(c_55807,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_50927]) ).
tcf(c_55808,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_50927]) ).
tcf(c_55809,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_50927]) ).
tcf(c_55810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_50927]) ).
tcf(c_55811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_50927]) ).
tcf(c_55812,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_50927]) ).
tcf(c_55815,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_50927]) ).
tcf(c_55816,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_50927]) ).
tcf(c_55817,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_50927]) ).
tcf(c_55818,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_50927]) ).
tcf(c_55820,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_50927]) ).
tcf(c_55821,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_50927]) ).
tcf(c_55822,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_50927]) ).
tcf(c_55823,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_50927]) ).
tcf(c_55824,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_50927]) ).
tcf(c_55825,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_50927]) ).
tcf(c_55826,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_50927]) ).
tcf(c_55827,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_50927]) ).
tcf(c_55828,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_50927]) ).
tcf(c_55829,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_50927]) ).
tcf(c_55830,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_50927]) ).
tcf(c_55831,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_50927]) ).
tcf(c_55832,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_50927]) ).
tcf(c_55833,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_50927]) ).
tcf(c_55834,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_50927]) ).
tcf(c_55835,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_50927]) ).
tcf(c_55836,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_50927]) ).
tcf(c_55838,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_50927]) ).
tcf(c_55839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_50927]) ).
tcf(c_55840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_50927]) ).
tcf(c_55841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_50927]) ).
tcf(c_55842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_50927]) ).
tcf(c_55843,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_50927]) ).
tcf(c_55844,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_50927]) ).
tcf(c_55845,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_50927]) ).
tcf(c_55846,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_50927]) ).
tcf(c_55847,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_50927]) ).
tcf(c_55848,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_50927]) ).
tcf(c_55849,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_50927]) ).
tcf(c_55850,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_55844,c_50392]) ).
tcf(c_55859,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_55847,c_50392]) ).
tcf(c_55885,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_55848,c_54928]) ).
tcf(c_56353,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_51318]) ).
tcf(c_56354,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_51318]) ).
tcf(c_56355,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_51318]) ).
tcf(c_56356,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_51318]) ).
tcf(c_56357,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_51318]) ).
tcf(c_56358,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_51318]) ).
tcf(c_56360,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_51318]) ).
tcf(c_56361,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_51318]) ).
tcf(c_56362,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_51318]) ).
tcf(c_56363,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_51318]) ).
tcf(c_56364,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_51318]) ).
tcf(c_56365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_51318]) ).
tcf(c_56366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_51318]) ).
tcf(c_56367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_51318]) ).
tcf(c_56368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_51318]) ).
tcf(c_56369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_51318]) ).
tcf(c_56370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_51318]) ).
tcf(c_56371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_51318]) ).
tcf(c_56372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_51318]) ).
tcf(c_56373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_51318]) ).
tcf(c_56374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_51318]) ).
tcf(c_56375,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_51318]) ).
tcf(c_56376,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_51318]) ).
tcf(c_56377,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_51318]) ).
tcf(c_56378,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_51318]) ).
tcf(c_56379,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_51318]) ).
tcf(c_56380,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_51318]) ).
tcf(c_56381,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_51318]) ).
tcf(c_56382,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_51318]) ).
tcf(c_56383,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_51318]) ).
tcf(c_56384,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_51318]) ).
tcf(c_56385,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_51318]) ).
tcf(c_56386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_51318]) ).
tcf(c_56387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_51318]) ).
tcf(c_56388,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_51318]) ).
tcf(c_56391,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_51318]) ).
tcf(c_56392,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_51318]) ).
tcf(c_56393,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_51318]) ).
tcf(c_56394,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_51318]) ).
tcf(c_56396,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_51318]) ).
tcf(c_56397,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_51318]) ).
tcf(c_56398,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_51318]) ).
tcf(c_56399,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_51318]) ).
tcf(c_56400,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_51318]) ).
tcf(c_56401,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_51318]) ).
tcf(c_56402,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_51318]) ).
tcf(c_56403,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_51318]) ).
tcf(c_56404,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_51318]) ).
tcf(c_56405,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_51318]) ).
tcf(c_56406,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_51318]) ).
tcf(c_56407,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_51318]) ).
tcf(c_56408,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_51318]) ).
tcf(c_56409,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_51318]) ).
tcf(c_56410,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_51318]) ).
tcf(c_56411,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_51318]) ).
tcf(c_56412,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_51318]) ).
tcf(c_56414,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_51318]) ).
tcf(c_56415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_51318]) ).
tcf(c_56416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_51318]) ).
tcf(c_56417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_51318]) ).
tcf(c_56418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_51318]) ).
tcf(c_56419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_51318]) ).
tcf(c_56420,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_51318]) ).
tcf(c_56421,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_51318]) ).
tcf(c_56422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_51318]) ).
tcf(c_56423,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_51318]) ).
tcf(c_56424,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_51318]) ).
tcf(c_56425,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_51318]) ).
tcf(c_57197,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_51949]) ).
tcf(c_57198,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_51949]) ).
tcf(c_57199,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_51949]) ).
tcf(c_57200,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_51949]) ).
tcf(c_57201,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_51949]) ).
tcf(c_57202,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_51949]) ).
tcf(c_57204,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_51949]) ).
tcf(c_57205,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_51949]) ).
tcf(c_57206,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_51949]) ).
tcf(c_57207,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_51949]) ).
tcf(c_57208,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_51949]) ).
tcf(c_57209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_51949]) ).
tcf(c_57210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_51949]) ).
tcf(c_57211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_51949]) ).
tcf(c_57212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_51949]) ).
tcf(c_57213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_51949]) ).
tcf(c_57214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_51949]) ).
tcf(c_57215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_51949]) ).
tcf(c_57216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_51949]) ).
tcf(c_57217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_51949]) ).
tcf(c_57218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_51949]) ).
tcf(c_57219,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_51949]) ).
tcf(c_57220,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_51949]) ).
tcf(c_57222,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_51949]) ).
tcf(c_57223,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_51949]) ).
tcf(c_57224,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_51949]) ).
tcf(c_57225,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_51949]) ).
tcf(c_57226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_51949]) ).
tcf(c_57227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_51949]) ).
tcf(c_57228,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_51949]) ).
tcf(c_57229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_51949]) ).
tcf(c_57230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_51949]) ).
tcf(c_57232,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_51949]) ).
tcf(c_57234,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_51949]) ).
tcf(c_57236,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_51949]) ).
tcf(c_57237,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_51949]) ).
tcf(c_57238,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_51949]) ).
tcf(c_57239,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_51949]) ).
tcf(c_57240,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_51949]) ).
tcf(c_57241,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_51949]) ).
tcf(c_57242,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_51949]) ).
tcf(c_57243,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_51949]) ).
tcf(c_57244,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_51949]) ).
tcf(c_57245,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_51949]) ).
tcf(c_57246,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_51949]) ).
tcf(c_57247,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_51949]) ).
tcf(c_57248,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_51949]) ).
tcf(c_57249,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_51949]) ).
tcf(c_57250,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_51949]) ).
tcf(c_57251,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_51949]) ).
tcf(c_57252,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_51949]) ).
tcf(c_57253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_51949]) ).
tcf(c_57254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_51949]) ).
tcf(c_57255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_51949]) ).
tcf(c_57256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_51949]) ).
tcf(c_57257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_51949]) ).
tcf(c_57258,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_51949]) ).
tcf(c_57259,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_51949]) ).
tcf(c_57626,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_51970]) ).
tcf(c_57627,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_51970]) ).
tcf(c_57628,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_51970]) ).
tcf(c_57629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_51970]) ).
tcf(c_57630,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_51970]) ).
tcf(c_57631,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_51970]) ).
tcf(c_57633,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_51970]) ).
tcf(c_57634,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_51970]) ).
tcf(c_57635,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_51970]) ).
tcf(c_57636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_51970]) ).
tcf(c_57637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_51970]) ).
tcf(c_57638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_51970]) ).
tcf(c_57639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_51970]) ).
tcf(c_57640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_51970]) ).
tcf(c_57641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_51970]) ).
tcf(c_57642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_51970]) ).
tcf(c_57643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_51970]) ).
tcf(c_57644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_51970]) ).
tcf(c_57645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_51970]) ).
tcf(c_57646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_51970]) ).
tcf(c_57647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_51970]) ).
tcf(c_57648,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_51970]) ).
tcf(c_57649,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_51970]) ).
tcf(c_57650,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_51970]) ).
tcf(c_57651,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_51970]) ).
tcf(c_57652,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_51970]) ).
tcf(c_57653,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_51970]) ).
tcf(c_57654,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_51970]) ).
tcf(c_57655,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_51970]) ).
tcf(c_57656,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_51970]) ).
tcf(c_57657,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_51970]) ).
tcf(c_57658,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_51970]) ).
tcf(c_57659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_51970]) ).
tcf(c_57660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_51970]) ).
tcf(c_57661,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_51970]) ).
tcf(c_57664,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_51970]) ).
tcf(c_57665,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_51970]) ).
tcf(c_57666,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_51970]) ).
tcf(c_57667,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_51970]) ).
tcf(c_57669,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_51970]) ).
tcf(c_57670,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_51970]) ).
tcf(c_57671,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_51970]) ).
tcf(c_57672,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_51970]) ).
tcf(c_57673,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_51970]) ).
tcf(c_57674,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_51970]) ).
tcf(c_57675,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_51970]) ).
tcf(c_57676,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_51970]) ).
tcf(c_57677,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_51970]) ).
tcf(c_57678,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_51970]) ).
tcf(c_57679,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_51970]) ).
tcf(c_57680,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_51970]) ).
tcf(c_57681,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_51970]) ).
tcf(c_57682,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_51970]) ).
tcf(c_57683,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_51970]) ).
tcf(c_57684,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_51970]) ).
tcf(c_57685,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_51970]) ).
tcf(c_57687,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_51970]) ).
tcf(c_57688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_51970]) ).
tcf(c_57689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_51970]) ).
tcf(c_57690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_51970]) ).
tcf(c_57691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_51970]) ).
tcf(c_57692,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_51970]) ).
tcf(c_57693,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_51970]) ).
tcf(c_57694,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_51970]) ).
tcf(c_57695,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_51970]) ).
tcf(c_57696,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_51970]) ).
tcf(c_57697,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_51970]) ).
tcf(c_57698,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_51970]) ).
tcf(c_58318,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,X0)) = sK8(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_46550,c_319,c_2040,c_5402]) ).
tcf(c_58325,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_54,c_58318]) ).
tcf(c_58326,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_58318]) ).
tcf(c_58327,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_954,c_58318]) ).
tcf(c_58328,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_962,c_58318]) ).
tcf(c_58329,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_58318]) ).
tcf(c_58330,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_58318]) ).
tcf(c_58332,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_58318]) ).
tcf(c_58333,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_58318]) ).
tcf(c_58334,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_58318]) ).
tcf(c_58335,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1010,c_58318]) ).
tcf(c_58336,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1022,c_58318]) ).
tcf(c_58337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_58318]) ).
tcf(c_58338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1379,c_58318]) ).
tcf(c_58339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1380,c_58318]) ).
tcf(c_58340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1382,c_58318]) ).
tcf(c_58341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1383,c_58318]) ).
tcf(c_58342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_58318]) ).
tcf(c_58343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1467,c_58318]) ).
tcf(c_58344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1468,c_58318]) ).
tcf(c_58345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1470,c_58318]) ).
tcf(c_58346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1471,c_58318]) ).
tcf(c_58347,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_58318]) ).
tcf(c_58348,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_58318]) ).
tcf(c_58349,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_58318]) ).
tcf(c_58350,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_58318]) ).
tcf(c_58351,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_58318]) ).
tcf(c_58353,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X1)))) = sK4(sK3,image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3828,c_58318]) ).
tcf(c_58354,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2543,c_58318]) ).
tcf(c_58355,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) ) ),
inference(superposition,[status(thm)],[c_2542,c_58318]) ).
tcf(c_58356,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X1)))) = sK4(sK3,inverse_image3(X0,sK2,X1)) ) ),
inference(superposition,[status(thm)],[c_3852,c_58318]) ).
tcf(c_58357,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_36595,c_58318]) ).
tcf(c_58358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_58318]) ).
tcf(c_58359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_58318]) ).
tcf(c_58360,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_58318]) ).
tcf(c_58363,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_58318]) ).
tcf(c_58364,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_58318]) ).
tcf(c_58365,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_58318]) ).
tcf(c_58366,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_58318]) ).
tcf(c_58368,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_58318]) ).
tcf(c_58369,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_58318]) ).
tcf(c_58370,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_58318]) ).
tcf(c_58371,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_58318]) ).
tcf(c_58372,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_58318]) ).
tcf(c_58373,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_58318]) ).
tcf(c_58374,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_58318]) ).
tcf(c_58375,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_58318]) ).
tcf(c_58376,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_58318]) ).
tcf(c_58377,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_58318]) ).
tcf(c_58378,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_58318]) ).
tcf(c_58379,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_58318]) ).
tcf(c_58380,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_58318]) ).
tcf(c_58381,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_58318]) ).
tcf(c_58382,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_58318]) ).
tcf(c_58383,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_58318]) ).
tcf(c_58384,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_58318]) ).
tcf(c_58386,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_58318]) ).
tcf(c_58387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23803,c_58318]) ).
tcf(c_58388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23713,c_58318]) ).
tcf(c_58389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_24104,c_58318]) ).
tcf(c_58390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23897,c_58318]) ).
tcf(c_58391,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36596,c_58318]) ).
tcf(c_58392,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50560,c_58318]) ).
tcf(c_58393,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36597,c_58318]) ).
tcf(c_58395,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_58318]) ).
tcf(c_58396,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54737,c_58318]) ).
tcf(c_58397,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_58318]) ).
tcf(c_58862,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_54,c_58326]) ).
tcf(c_58863,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_58326]) ).
tcf(c_58864,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_954,c_58326]) ).
tcf(c_58865,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_962,c_58326]) ).
tcf(c_58866,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_58326]) ).
tcf(c_58867,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_58326]) ).
tcf(c_58868,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_58326]) ).
tcf(c_58869,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_58326]) ).
tcf(c_58870,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_58326]) ).
tcf(c_58871,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_58326]) ).
tcf(c_58872,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_58326]) ).
tcf(c_58873,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_58326]) ).
tcf(c_58874,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_58326]) ).
tcf(c_58875,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,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_58326]) ).
tcf(c_58876,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1380,c_58326]) ).
tcf(c_58877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_58326]) ).
tcf(c_58878,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1383,c_58326]) ).
tcf(c_58879,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_58326]) ).
tcf(c_58880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_58326]) ).
tcf(c_58881,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1468,c_58326]) ).
tcf(c_58882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_58326]) ).
tcf(c_58883,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1471,c_58326]) ).
tcf(c_58884,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_58326]) ).
tcf(c_58885,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_58326]) ).
tcf(c_58886,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_58326]) ).
tcf(c_58887,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_58326]) ).
tcf(c_58888,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_58326]) ).
tcf(c_58889,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_58326]) ).
tcf(c_58890,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2543,c_58326]) ).
tcf(c_58891,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2542,c_58326]) ).
tcf(c_58892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_58326]) ).
tcf(c_58893,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_58326]) ).
tcf(c_58894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_58326]) ).
tcf(c_58895,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,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_58326]) ).
tcf(c_58897,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_58326]) ).
tcf(c_58898,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_58326]) ).
tcf(c_58899,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_58326]) ).
tcf(c_58901,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_58326]) ).
tcf(c_58902,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_58326]) ).
tcf(c_58903,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_58326]) ).
tcf(c_58904,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_58326]) ).
tcf(c_58905,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_58326]) ).
tcf(c_58906,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_58326]) ).
tcf(c_58907,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_58326]) ).
tcf(c_58908,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_58326]) ).
tcf(c_58909,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_58326]) ).
tcf(c_58910,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_58326]) ).
tcf(c_58911,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_58326]) ).
tcf(c_58912,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_58326]) ).
tcf(c_58913,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_58326]) ).
tcf(c_58915,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_58326]) ).
tcf(c_58916,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_58326]) ).
tcf(c_58917,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_58326]) ).
tcf(c_58918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23803,c_58326]) ).
tcf(c_58919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23713,c_58326]) ).
tcf(c_58920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_24104,c_58326]) ).
tcf(c_58921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23897,c_58326]) ).
tcf(c_58922,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)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_58326]) ).
tcf(c_58923,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_58326]) ).
tcf(c_58924,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50594,c_58326]) ).
tcf(c_59364,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_58347]) ).
tcf(c_59365,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_58347]) ).
tcf(c_59366,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_58347]) ).
tcf(c_59367,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_58347]) ).
tcf(c_59368,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_58347]) ).
tcf(c_59369,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_58347]) ).
tcf(c_59371,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_58347]) ).
tcf(c_59372,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_58347]) ).
tcf(c_59373,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_58347]) ).
tcf(c_59374,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_58347]) ).
tcf(c_59375,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_58347]) ).
tcf(c_59376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_58347]) ).
tcf(c_59377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_58347]) ).
tcf(c_59378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_58347]) ).
tcf(c_59379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_58347]) ).
tcf(c_59380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_58347]) ).
tcf(c_59381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_58347]) ).
tcf(c_59382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_58347]) ).
tcf(c_59383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_58347]) ).
tcf(c_59384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_58347]) ).
tcf(c_59385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_58347]) ).
tcf(c_59386,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_58347]) ).
tcf(c_59387,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_58347]) ).
tcf(c_59388,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_58347]) ).
tcf(c_59389,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_58347]) ).
tcf(c_59390,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_58347]) ).
tcf(c_59391,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_58347]) ).
tcf(c_59392,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_58347]) ).
tcf(c_59393,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_58347]) ).
tcf(c_59394,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_58347]) ).
tcf(c_59395,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_58347]) ).
tcf(c_59396,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_58347]) ).
tcf(c_59397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_58347]) ).
tcf(c_59398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_58347]) ).
tcf(c_59399,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_58347]) ).
tcf(c_59402,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_58347]) ).
tcf(c_59403,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_58347]) ).
tcf(c_59404,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_58347]) ).
tcf(c_59405,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_58347]) ).
tcf(c_59407,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_58347]) ).
tcf(c_59408,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_58347]) ).
tcf(c_59409,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_58347]) ).
tcf(c_59410,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_58347]) ).
tcf(c_59411,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_58347]) ).
tcf(c_59412,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_58347]) ).
tcf(c_59413,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_58347]) ).
tcf(c_59414,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_58347]) ).
tcf(c_59415,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_58347]) ).
tcf(c_59416,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_58347]) ).
tcf(c_59417,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_58347]) ).
tcf(c_59418,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_58347]) ).
tcf(c_59419,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_58347]) ).
tcf(c_59420,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_58347]) ).
tcf(c_59421,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_58347]) ).
tcf(c_59422,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_58347]) ).
tcf(c_59423,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_58347]) ).
tcf(c_59425,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_58347]) ).
tcf(c_59426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_58347]) ).
tcf(c_59427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_58347]) ).
tcf(c_59428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_58347]) ).
tcf(c_59429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_58347]) ).
tcf(c_59430,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_58347]) ).
tcf(c_59431,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_58347]) ).
tcf(c_59432,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_58347]) ).
tcf(c_59433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_58347]) ).
tcf(c_59434,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_58347]) ).
tcf(c_59435,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_58347]) ).
tcf(c_59436,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_58347]) ).
tcf(c_60131,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_54703,c_55]) ).
tcf(c_60132,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_65]) ).
tcf(c_60133,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_64]) ).
tcf(c_60134,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_63]) ).
tcf(c_60135,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_69]) ).
tcf(c_60136,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_68]) ).
tcf(c_60137,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54703,c_67]) ).
tcf(c_60138,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_58347]) ).
tcf(c_60139,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_58318]) ).
tcf(c_60140,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_51970]) ).
tcf(c_60141,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_51318]) ).
tcf(c_60142,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_50927]) ).
tcf(c_60143,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_48356]) ).
tcf(c_60144,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_47796]) ).
tcf(c_60145,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_47218]) ).
tcf(c_60147,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_46549]) ).
tcf(c_60148,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_22454]) ).
tcf(c_60149,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_21013]) ).
tcf(c_60150,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_17762]) ).
tcf(c_60151,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_16596]) ).
tcf(c_60152,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_16329]) ).
tcf(c_60153,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_16026]) ).
tcf(c_60154,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_19577]) ).
tcf(c_60155,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_14204]) ).
tcf(c_60156,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_13122]) ).
tcf(c_60157,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_3997]) ).
tcf(c_60159,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_3998]) ).
tcf(c_60160,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_1204]) ).
tcf(c_60161,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_1148]) ).
tcf(c_60162,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_1111]) ).
tcf(c_60163,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_54703,c_58326]) ).
tcf(c_60164,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_51949]) ).
tcf(c_60165,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_47814]) ).
tcf(c_60167,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_47775]) ).
tcf(c_60168,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_46610]) ).
tcf(c_60170,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_22437]) ).
tcf(c_60171,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_19101]) ).
tcf(c_60172,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_19098]) ).
tcf(c_60173,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_17745]) ).
tcf(c_60174,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_16312]) ).
tcf(c_60175,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_16009]) ).
tcf(c_60176,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_19099]) ).
tcf(c_60177,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_19102]) ).
tcf(c_60178,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_14187]) ).
tcf(c_60179,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_5588]) ).
tcf(c_60183,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_46048]) ).
tcf(c_60184,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54703,c_6689]) ).
tcf(c_60185,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_5259]) ).
tcf(c_60186,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54703,c_6690]) ).
tcf(c_60187,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_4256]) ).
tcf(c_60188,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_5260]) ).
tcf(c_60189,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_4257]) ).
tcf(c_60191,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_1594]) ).
tcf(c_60193,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_54703,c_1595]) ).
tcf(c_60195,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54703,c_40260]) ).
tcf(c_60196,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54703,c_40364]) ).
tcf(c_60211,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60196,c_50594]) ).
tcf(c_60214,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60195,c_50594]) ).
tcf(c_60236,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60186,c_50594]) ).
tcf(c_60253,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60184,c_50594]) ).
tcf(c_60268,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60179,c_54901]) ).
tcf(c_60270,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60177,c_54901]) ).
tcf(c_60272,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60168,c_54901]) ).
tcf(c_60274,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60167,c_54901]) ).
tcf(c_60285,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60178,c_54901]) ).
tcf(c_60287,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60176,c_54901]) ).
tcf(c_60289,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60165,c_54901]) ).
tcf(c_60290,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60289,c_948]) ).
tcf(c_60293,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60164,c_54901]) ).
tcf(c_60321,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60175,c_54901]) ).
tcf(c_60325,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60173,c_54901]) ).
tcf(c_60327,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60172,c_54901]) ).
tcf(c_60328,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60327,c_948]) ).
tcf(c_60331,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60171,c_54901]) ).
tcf(c_60332,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60331,c_948]) ).
tcf(c_60370,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK4(sK2,sK3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54019]) ).
tcf(c_60371,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54019]) ).
tcf(c_60372,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54019]) ).
tcf(c_60386,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK4(sK2,sK3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54022]) ).
tcf(c_60387,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54022]) ).
tcf(c_60388,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54022]) ).
tcf(c_60402,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_54909,c_55]) ).
tcf(c_60403,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_65]) ).
tcf(c_60404,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_64]) ).
tcf(c_60405,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_63]) ).
tcf(c_60406,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_69]) ).
tcf(c_60407,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_68]) ).
tcf(c_60408,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54909,c_67]) ).
tcf(c_60409,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_58347]) ).
tcf(c_60410,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_58318]) ).
tcf(c_60411,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_51970]) ).
tcf(c_60412,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_51318]) ).
tcf(c_60413,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_50927]) ).
tcf(c_60414,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_48356]) ).
tcf(c_60415,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_47796]) ).
tcf(c_60417,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_46592]) ).
tcf(c_60419,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_22454]) ).
tcf(c_60420,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_21013]) ).
tcf(c_60421,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_17762]) ).
tcf(c_60422,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_16596]) ).
tcf(c_60423,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_16329]) ).
tcf(c_60424,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_16026]) ).
tcf(c_60425,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_19577]) ).
tcf(c_60426,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_14204]) ).
tcf(c_60427,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_13122]) ).
tcf(c_60428,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_3997]) ).
tcf(c_60429,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_5599]) ).
tcf(c_60430,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_3998]) ).
tcf(c_60434,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_58326]) ).
tcf(c_60435,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_51949]) ).
tcf(c_60436,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_47814]) ).
tcf(c_60437,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_48335]) ).
tcf(c_60438,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_47775]) ).
tcf(c_60439,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_46610]) ).
tcf(c_60440,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_46571]) ).
tcf(c_60441,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_22437]) ).
tcf(c_60442,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_19101]) ).
tcf(c_60443,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_19098]) ).
tcf(c_60444,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_17745]) ).
tcf(c_60445,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_16312]) ).
tcf(c_60446,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_16009]) ).
tcf(c_60447,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_19099]) ).
tcf(c_60448,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_19102]) ).
tcf(c_60449,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_14187]) ).
tcf(c_60450,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_5588]) ).
tcf(c_60451,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_1826]) ).
tcf(c_60452,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_1179]) ).
tcf(c_60453,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_1119]) ).
tcf(c_60455,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54909,c_6689]) ).
tcf(c_60456,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54909,c_5259]) ).
tcf(c_60457,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54909,c_6690]) ).
tcf(c_60459,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54909,c_5260]) ).
tcf(c_60461,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54909,c_1678]) ).
tcf(c_60463,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54909,c_1679]) ).
tcf(c_60486,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60459,c_54737]) ).
tcf(c_60506,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60456,c_54737]) ).
tcf(c_60549,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60425,c_54928]) ).
tcf(c_60550,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60549,c_948]) ).
tcf(c_60554,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60413,c_54928]) ).
tcf(c_60582,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_60420,c_54928]) ).
tcf(c_60583,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60582,c_948]) ).
tcf(c_60795,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50603,c_55]) ).
tcf(c_60796,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_65]) ).
tcf(c_60797,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_64]) ).
tcf(c_60798,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_63]) ).
tcf(c_60799,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))))
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_69]) ).
tcf(c_60800,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),X1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_68]) ).
tcf(c_60801,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),X2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_50603,c_67]) ).
tcf(c_60802,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_58347]) ).
tcf(c_60803,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_58318]) ).
tcf(c_60804,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_51970]) ).
tcf(c_60805,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_51318]) ).
tcf(c_60806,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_50927]) ).
tcf(c_60807,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_48356]) ).
tcf(c_60808,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_47796]) ).
tcf(c_60809,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_47218]) ).
tcf(c_60810,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_46592]) ).
tcf(c_60811,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_46549]) ).
tcf(c_60812,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_22454]) ).
tcf(c_60813,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_21013]) ).
tcf(c_60814,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_17762]) ).
tcf(c_60815,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_16596]) ).
tcf(c_60816,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_16329]) ).
tcf(c_60817,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_16026]) ).
tcf(c_60818,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_19577]) ).
tcf(c_60819,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_14204]) ).
tcf(c_60820,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_13122]) ).
tcf(c_60821,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_3997]) ).
tcf(c_60822,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_5599]) ).
tcf(c_60823,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_3998]) ).
tcf(c_60824,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_1204]) ).
tcf(c_60825,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_1148]) ).
tcf(c_60826,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_1111]) ).
tcf(c_60847,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_46048]) ).
tcf(c_60848,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_6689]) ).
tcf(c_60849,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_5259]) ).
tcf(c_60850,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_6690]) ).
tcf(c_60851,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_4256]) ).
tcf(c_60852,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_5260]) ).
tcf(c_60853,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_4257]) ).
tcf(c_60854,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_1678]) ).
tcf(c_60855,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_1594]) ).
tcf(c_60856,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_1679]) ).
tcf(c_60857,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50603,c_1595]) ).
tcf(c_60858,plain,
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_36577]) ).
tcf(c_60859,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_40260]) ).
tcf(c_60860,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50603,c_40364]) ).
tcf(c_61076,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_50915,c_55]) ).
tcf(c_61077,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_58347]) ).
tcf(c_61078,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_58318]) ).
tcf(c_61079,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_51970]) ).
tcf(c_61080,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_51318]) ).
tcf(c_61081,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_50927]) ).
tcf(c_61082,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_48356]) ).
tcf(c_61083,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_47796]) ).
tcf(c_61084,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_47218]) ).
tcf(c_61087,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_22454]) ).
tcf(c_61088,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_21013]) ).
tcf(c_61089,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_17762]) ).
tcf(c_61090,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_16596]) ).
tcf(c_61091,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_16329]) ).
tcf(c_61092,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_16026]) ).
tcf(c_61093,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_19577]) ).
tcf(c_61094,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_14204]) ).
tcf(c_61095,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_13122]) ).
tcf(c_61096,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_3997]) ).
tcf(c_61099,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_1204]) ).
tcf(c_61103,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50915,c_6689]) ).
tcf(c_61104,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50915,c_5259]) ).
tcf(c_61105,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50915,c_6690]) ).
tcf(c_61107,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50915,c_5260]) ).
tcf(c_61110,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50915,c_1594]) ).
tcf(c_61112,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50915,c_1595]) ).
tcf(c_61123,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61105,c_50594]) ).
tcf(c_61136,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61103,c_50594]) ).
tcf(c_61265,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_60858,c_55]) ).
tcf(c_61266,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_58347]) ).
tcf(c_61267,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_58318]) ).
tcf(c_61268,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_51970]) ).
tcf(c_61269,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_51318]) ).
tcf(c_61270,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_50927]) ).
tcf(c_61271,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_48356]) ).
tcf(c_61272,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_47796]) ).
tcf(c_61273,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_47218]) ).
tcf(c_61274,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_46592]) ).
tcf(c_61275,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_46549]) ).
tcf(c_61276,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_22454]) ).
tcf(c_61277,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_21013]) ).
tcf(c_61278,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_17762]) ).
tcf(c_61279,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_16596]) ).
tcf(c_61280,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_16329]) ).
tcf(c_61281,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_16026]) ).
tcf(c_61282,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_19577]) ).
tcf(c_61283,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_14204]) ).
tcf(c_61284,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_13122]) ).
tcf(c_61285,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_3997]) ).
tcf(c_61286,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_5599]) ).
tcf(c_61287,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_3998]) ).
tcf(c_61288,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_1204]) ).
tcf(c_61289,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_1148]) ).
tcf(c_61290,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_1111]) ).
tcf(c_61292,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60858,c_6689]) ).
tcf(c_61293,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_5259]) ).
tcf(c_61294,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60858,c_6690]) ).
tcf(c_61295,plain,
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_4256]) ).
tcf(c_61296,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_5260]) ).
tcf(c_61297,plain,
( member(sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_4257]) ).
tcf(c_61298,plain,
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60858,c_1678]) ).
tcf(c_61299,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_1594]) ).
tcf(c_61300,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60858,c_1679]) ).
tcf(c_61301,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60858,c_1595]) ).
tcf(c_61404,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_55]) ).
tcf(c_61405,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_58347]) ).
tcf(c_61406,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_58318]) ).
tcf(c_61407,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_51970]) ).
tcf(c_61408,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_51318]) ).
tcf(c_61409,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_50927]) ).
tcf(c_61410,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_48356]) ).
tcf(c_61411,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_47796]) ).
tcf(c_61412,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_47218]) ).
tcf(c_61413,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_46592]) ).
tcf(c_61414,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_46549]) ).
tcf(c_61415,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_22454]) ).
tcf(c_61416,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_21013]) ).
tcf(c_61417,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_17762]) ).
tcf(c_61418,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_16596]) ).
tcf(c_61419,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_16329]) ).
tcf(c_61420,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_16026]) ).
tcf(c_61421,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_19577]) ).
tcf(c_61422,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_14204]) ).
tcf(c_61423,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_13122]) ).
tcf(c_61424,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_3997]) ).
tcf(c_61425,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_5599]) ).
tcf(c_61426,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_3998]) ).
tcf(c_61427,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_1204]) ).
tcf(c_61428,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_1148]) ).
tcf(c_61429,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_1111]) ).
tcf(c_61431,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_6689]) ).
tcf(c_61432,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_5259]) ).
tcf(c_61433,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_6690]) ).
tcf(c_61434,plain,
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_4256]) ).
tcf(c_61435,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_5260]) ).
tcf(c_61436,plain,
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_4257]) ).
tcf(c_61437,plain,
( apply(sK0,sK8(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_1678]) ).
tcf(c_61438,plain,
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_1594]) ).
tcf(c_61439,plain,
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_1679]) ).
tcf(c_61440,plain,
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))),sK1)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_50590,c_1595]) ).
tcf(c_61619,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) ) ),
inference(superposition,[status(thm)],[c_54,c_58863]) ).
tcf(c_61620,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_58863]) ).
tcf(c_61621,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_954,c_58863]) ).
tcf(c_61622,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_962,c_58863]) ).
tcf(c_61623,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_58863]) ).
tcf(c_61624,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_58863]) ).
tcf(c_61626,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_58863]) ).
tcf(c_61627,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_58863]) ).
tcf(c_61628,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_58863]) ).
tcf(c_61629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_58863]) ).
tcf(c_61630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_58863]) ).
tcf(c_61631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_58863]) ).
tcf(c_61632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_58863]) ).
tcf(c_61633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_58863]) ).
tcf(c_61634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_58863]) ).
tcf(c_61635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_58863]) ).
tcf(c_61636,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,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_58863]) ).
tcf(c_61637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_58863]) ).
tcf(c_61638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_58863]) ).
tcf(c_61639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_58863]) ).
tcf(c_61640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_58863]) ).
tcf(c_61641,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_58863]) ).
tcf(c_61642,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_58863]) ).
tcf(c_61643,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_58863]) ).
tcf(c_61644,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_58863]) ).
tcf(c_61645,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_58863]) ).
tcf(c_61647,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_58863]) ).
tcf(c_61648,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_58863]) ).
tcf(c_61649,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_58863]) ).
tcf(c_61650,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_58863]) ).
tcf(c_61651,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_36595,c_58863]) ).
tcf(c_61652,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(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_58863]) ).
tcf(c_61653,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,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_58863]) ).
tcf(c_61654,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_58863]) ).
tcf(c_61657,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_58863]) ).
tcf(c_61658,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_58863]) ).
tcf(c_61659,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_58863]) ).
tcf(c_61660,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_58863]) ).
tcf(c_61662,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_58863]) ).
tcf(c_61663,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_58863]) ).
tcf(c_61664,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_58863]) ).
tcf(c_61665,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_58863]) ).
tcf(c_61666,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_58863]) ).
tcf(c_61667,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_58863]) ).
tcf(c_61668,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_58863]) ).
tcf(c_61669,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_58863]) ).
tcf(c_61670,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_58863]) ).
tcf(c_61671,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_58863]) ).
tcf(c_61672,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_58863]) ).
tcf(c_61673,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_58863]) ).
tcf(c_61674,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_58863]) ).
tcf(c_61675,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_58863]) ).
tcf(c_61676,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_58863]) ).
tcf(c_61677,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_58863]) ).
tcf(c_61678,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_58863]) ).
tcf(c_61680,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_58863]) ).
tcf(c_61681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_58863]) ).
tcf(c_61682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_58863]) ).
tcf(c_61683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_58863]) ).
tcf(c_61684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_58863]) ).
tcf(c_61685,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36596,c_58863]) ).
tcf(c_61686,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50560,c_58863]) ).
tcf(c_61687,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36597,c_58863]) ).
tcf(c_61689,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_58863]) ).
tcf(c_61690,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_58863]) ).
tcf(c_61691,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54737,c_58863]) ).
tcf(c_61692,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_58863]) ).
tcf(c_61693,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_58863]) ).
tcf(c_61694,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_58863]) ).
tcf(c_61695,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_58863]) ).
tcf(c_61696,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_58863]) ).
tcf(c_61697,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_58863]) ).
tcf(c_62150,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_46570,c_58888]) ).
tcf(c_62151,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_58888]) ).
tcf(c_62152,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1118,c_58888]) ).
tcf(c_62171,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_58365]) ).
tcf(c_62172,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_58365]) ).
tcf(c_62173,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_58365]) ).
tcf(c_62174,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_58365]) ).
tcf(c_62175,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_58365]) ).
tcf(c_62176,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_58365]) ).
tcf(c_62178,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_58365]) ).
tcf(c_62179,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_58365]) ).
tcf(c_62180,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_58365]) ).
tcf(c_62181,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_58365]) ).
tcf(c_62182,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_58365]) ).
tcf(c_62183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_58365]) ).
tcf(c_62184,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,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_58365]) ).
tcf(c_62185,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_58365]) ).
tcf(c_62186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_58365]) ).
tcf(c_62187,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_58365]) ).
tcf(c_62188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_58365]) ).
tcf(c_62189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_58365]) ).
tcf(c_62190,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_58365]) ).
tcf(c_62191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_58365]) ).
tcf(c_62192,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,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_58365]) ).
tcf(c_62193,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_58365]) ).
tcf(c_62194,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_58365]) ).
tcf(c_62196,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_58365]) ).
tcf(c_62197,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_58365]) ).
tcf(c_62198,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_58365]) ).
tcf(c_62199,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_58365]) ).
tcf(c_62200,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_58365]) ).
tcf(c_62201,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_58365]) ).
tcf(c_62202,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_58365]) ).
tcf(c_62203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_58365]) ).
tcf(c_62204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_58365]) ).
tcf(c_62206,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_58365]) ).
tcf(c_62208,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_58365]) ).
tcf(c_62210,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_58365]) ).
tcf(c_62211,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_58365]) ).
tcf(c_62212,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_58365]) ).
tcf(c_62213,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_58365]) ).
tcf(c_62214,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_58365]) ).
tcf(c_62215,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_58365]) ).
tcf(c_62216,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_58365]) ).
tcf(c_62217,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_58365]) ).
tcf(c_62218,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_58365]) ).
tcf(c_62219,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_58365]) ).
tcf(c_62220,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_58365]) ).
tcf(c_62221,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_58365]) ).
tcf(c_62222,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_58365]) ).
tcf(c_62223,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_58365]) ).
tcf(c_62224,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_58365]) ).
tcf(c_62225,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_58365]) ).
tcf(c_62226,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_58365]) ).
tcf(c_62227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_58365]) ).
tcf(c_62228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_58365]) ).
tcf(c_62229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_58365]) ).
tcf(c_62230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_58365]) ).
tcf(c_62231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_58365]) ).
tcf(c_62232,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_58365]) ).
tcf(c_62234,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_58365]) ).
tcf(c_62235,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_58365]) ).
tcf(c_62236,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_58365]) ).
tcf(c_62255,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_62236,c_54901]) ).
tcf(c_62570,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_59365]) ).
tcf(c_62571,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_59365]) ).
tcf(c_62572,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_59365]) ).
tcf(c_62573,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_59365]) ).
tcf(c_62574,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_59365]) ).
tcf(c_62575,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_59365]) ).
tcf(c_62577,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_59365]) ).
tcf(c_62578,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_59365]) ).
tcf(c_62579,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_59365]) ).
tcf(c_62580,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_59365]) ).
tcf(c_62581,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_59365]) ).
tcf(c_62582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_59365]) ).
tcf(c_62583,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,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_59365]) ).
tcf(c_62584,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_59365]) ).
tcf(c_62585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_59365]) ).
tcf(c_62586,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_59365]) ).
tcf(c_62587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_59365]) ).
tcf(c_62588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_59365]) ).
tcf(c_62589,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_59365]) ).
tcf(c_62590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_59365]) ).
tcf(c_62591,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_59365]) ).
tcf(c_62592,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_59365]) ).
tcf(c_62593,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_59365]) ).
tcf(c_62595,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_59365]) ).
tcf(c_62596,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_59365]) ).
tcf(c_62597,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_59365]) ).
tcf(c_62598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_59365]) ).
tcf(c_62599,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_59365]) ).
tcf(c_62600,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_59365]) ).
tcf(c_62601,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_59365]) ).
tcf(c_62602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_59365]) ).
tcf(c_62603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_59365]) ).
tcf(c_62605,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_59365]) ).
tcf(c_62607,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_59365]) ).
tcf(c_62609,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_59365]) ).
tcf(c_62610,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_59365]) ).
tcf(c_62611,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_59365]) ).
tcf(c_62612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_59365]) ).
tcf(c_62613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_59365]) ).
tcf(c_62614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_59365]) ).
tcf(c_62615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_59365]) ).
tcf(c_62616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_59365]) ).
tcf(c_62617,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_59365]) ).
tcf(c_62618,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_59365]) ).
tcf(c_62619,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_59365]) ).
tcf(c_62620,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_59365]) ).
tcf(c_62621,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_59365]) ).
tcf(c_62622,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_59365]) ).
tcf(c_62623,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_59365]) ).
tcf(c_62624,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_59365]) ).
tcf(c_62625,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_59365]) ).
tcf(c_62626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_59365]) ).
tcf(c_62627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_59365]) ).
tcf(c_62628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_59365]) ).
tcf(c_62629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_59365]) ).
tcf(c_62630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_59365]) ).
tcf(c_62631,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_59365]) ).
tcf(c_62633,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_59365]) ).
tcf(c_62634,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_59365]) ).
tcf(c_62635,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_59365]) ).
tcf(c_62654,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_62635,c_54901]) ).
tcf(c_63098,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_59386]) ).
tcf(c_63099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_59386]) ).
tcf(c_63100,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_59386]) ).
tcf(c_63101,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_59386]) ).
tcf(c_63102,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_59386]) ).
tcf(c_63103,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_59386]) ).
tcf(c_63105,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_59386]) ).
tcf(c_63106,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_59386]) ).
tcf(c_63107,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_59386]) ).
tcf(c_63108,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_59386]) ).
tcf(c_63109,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_59386]) ).
tcf(c_63110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_59386]) ).
tcf(c_63111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_59386]) ).
tcf(c_63112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_59386]) ).
tcf(c_63113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_59386]) ).
tcf(c_63114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_59386]) ).
tcf(c_63115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_59386]) ).
tcf(c_63116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_59386]) ).
tcf(c_63117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_59386]) ).
tcf(c_63118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_59386]) ).
tcf(c_63119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_59386]) ).
tcf(c_63120,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_59386]) ).
tcf(c_63121,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_59386]) ).
tcf(c_63122,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_59386]) ).
tcf(c_63123,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_59386]) ).
tcf(c_63124,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_59386]) ).
tcf(c_63125,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_59386]) ).
tcf(c_63126,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_59386]) ).
tcf(c_63127,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_59386]) ).
tcf(c_63128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_59386]) ).
tcf(c_63129,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_59386]) ).
tcf(c_63130,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_59386]) ).
tcf(c_63131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_59386]) ).
tcf(c_63132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_59386]) ).
tcf(c_63133,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_59386]) ).
tcf(c_63136,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_59386]) ).
tcf(c_63137,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_59386]) ).
tcf(c_63138,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_59386]) ).
tcf(c_63139,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_59386]) ).
tcf(c_63141,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_59386]) ).
tcf(c_63142,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_59386]) ).
tcf(c_63143,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_59386]) ).
tcf(c_63144,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_59386]) ).
tcf(c_63145,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_59386]) ).
tcf(c_63146,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_59386]) ).
tcf(c_63147,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_59386]) ).
tcf(c_63148,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_59386]) ).
tcf(c_63149,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_59386]) ).
tcf(c_63150,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_59386]) ).
tcf(c_63151,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_59386]) ).
tcf(c_63152,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_59386]) ).
tcf(c_63153,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_59386]) ).
tcf(c_63154,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_59386]) ).
tcf(c_63155,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_59386]) ).
tcf(c_63156,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_59386]) ).
tcf(c_63157,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_59386]) ).
tcf(c_63159,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_59386]) ).
tcf(c_63160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_59386]) ).
tcf(c_63161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_59386]) ).
tcf(c_63162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_59386]) ).
tcf(c_63163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_59386]) ).
tcf(c_63164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_59386]) ).
tcf(c_63165,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_59386]) ).
tcf(c_63166,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_59386]) ).
tcf(c_63167,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_59386]) ).
tcf(c_63168,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_59386]) ).
tcf(c_63169,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_59386]) ).
tcf(c_63170,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_59386]) ).
tcf(c_63171,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_59386]) ).
tcf(c_63172,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_59386]) ).
tcf(c_63173,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_59386]) ).
tcf(c_63174,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_59386]) ).
tcf(c_63175,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_59386]) ).
tcf(c_63176,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_59386]) ).
tcf(c_63582,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_50952]) ).
tcf(c_63583,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_50952]) ).
tcf(c_63584,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_50952]) ).
tcf(c_63608,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_51343]) ).
tcf(c_63609,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_51343]) ).
tcf(c_63610,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_51343]) ).
tcf(c_63630,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) ) ),
inference(superposition,[status(thm)],[c_54,c_52521]) ).
tcf(c_63631,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_52521]) ).
tcf(c_63632,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_954,c_52521]) ).
tcf(c_63633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_962,c_52521]) ).
tcf(c_63634,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_52521]) ).
tcf(c_63635,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_52521]) ).
tcf(c_63637,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_52521]) ).
tcf(c_63638,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_52521]) ).
tcf(c_63639,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_52521]) ).
tcf(c_63640,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_52521]) ).
tcf(c_63641,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_52521]) ).
tcf(c_63642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_52521]) ).
tcf(c_63643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_52521]) ).
tcf(c_63644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_52521]) ).
tcf(c_63645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_52521]) ).
tcf(c_63646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_52521]) ).
tcf(c_63647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_52521]) ).
tcf(c_63648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_52521]) ).
tcf(c_63649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_52521]) ).
tcf(c_63650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_52521]) ).
tcf(c_63651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_52521]) ).
tcf(c_63652,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_52521]) ).
tcf(c_63653,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_52521]) ).
tcf(c_63654,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_52521]) ).
tcf(c_63655,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_52521]) ).
tcf(c_63656,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_52521]) ).
tcf(c_63658,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_52521]) ).
tcf(c_63659,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_52521]) ).
tcf(c_63660,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_52521]) ).
tcf(c_63661,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_52521]) ).
tcf(c_63662,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_36595,c_52521]) ).
tcf(c_63663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_52521]) ).
tcf(c_63664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_52521]) ).
tcf(c_63665,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_52521]) ).
tcf(c_63668,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_52521]) ).
tcf(c_63669,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_52521]) ).
tcf(c_63670,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_52521]) ).
tcf(c_63671,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_52521]) ).
tcf(c_63673,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_52521]) ).
tcf(c_63674,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_52521]) ).
tcf(c_63675,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_52521]) ).
tcf(c_63676,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_52521]) ).
tcf(c_63677,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_52521]) ).
tcf(c_63678,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_52521]) ).
tcf(c_63679,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_52521]) ).
tcf(c_63680,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_52521]) ).
tcf(c_63681,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_52521]) ).
tcf(c_63682,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_52521]) ).
tcf(c_63683,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_52521]) ).
tcf(c_63684,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_52521]) ).
tcf(c_63685,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_52521]) ).
tcf(c_63686,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_52521]) ).
tcf(c_63687,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_52521]) ).
tcf(c_63688,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_52521]) ).
tcf(c_63689,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_52521]) ).
tcf(c_63691,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_52521]) ).
tcf(c_63692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_52521]) ).
tcf(c_63693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_52521]) ).
tcf(c_63694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_52521]) ).
tcf(c_63695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_52521]) ).
tcf(c_63696,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36596,c_52521]) ).
tcf(c_63697,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50560,c_52521]) ).
tcf(c_63698,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36597,c_52521]) ).
tcf(c_63700,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_52521]) ).
tcf(c_63701,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_52521]) ).
tcf(c_63702,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54737,c_52521]) ).
tcf(c_63703,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_52521]) ).
tcf(c_63704,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_52521]) ).
tcf(c_63705,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_52521]) ).
tcf(c_63706,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_52521]) ).
tcf(c_63707,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_52521]) ).
tcf(c_63708,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_52521]) ).
tcf(c_64386,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60134]) ).
tcf(c_64387,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60134]) ).
tcf(c_64388,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60134]) ).
tcf(c_64436,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60137]) ).
tcf(c_64437,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60137]) ).
tcf(c_64438,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60137]) ).
tcf(c_64454,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55049,c_55]) ).
tcf(c_64455,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_65]) ).
tcf(c_64456,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_64]) ).
tcf(c_64457,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_63]) ).
tcf(c_64458,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK2,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_69]) ).
tcf(c_64459,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_68]) ).
tcf(c_64460,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_55049,c_67]) ).
tcf(c_64461,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_52521]) ).
tcf(c_64462,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_59386]) ).
tcf(c_64463,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_58863]) ).
tcf(c_64464,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_58347]) ).
tcf(c_64465,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_58318]) ).
tcf(c_64466,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_51970]) ).
tcf(c_64467,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_51318]) ).
tcf(c_64468,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_50927]) ).
tcf(c_64469,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_48356]) ).
tcf(c_64470,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_47796]) ).
tcf(c_64471,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_47218]) ).
tcf(c_64472,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_46592]) ).
tcf(c_64473,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_46549]) ).
tcf(c_64474,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_22454]) ).
tcf(c_64475,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_21013]) ).
tcf(c_64476,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_17762]) ).
tcf(c_64477,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_16596]) ).
tcf(c_64478,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_16329]) ).
tcf(c_64479,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_16026]) ).
tcf(c_64480,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_19577]) ).
tcf(c_64481,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_14204]) ).
tcf(c_64482,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_13122]) ).
tcf(c_64483,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_3997]) ).
tcf(c_64484,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_5599]) ).
tcf(c_64485,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_3998]) ).
tcf(c_64486,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1204]) ).
tcf(c_64487,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1148]) ).
tcf(c_64488,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) = sK7(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1111]) ).
tcf(c_64489,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_59365]) ).
tcf(c_64490,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_58365]) ).
tcf(c_64491,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_58326]) ).
tcf(c_64492,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_51949]) ).
tcf(c_64493,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_47814]) ).
tcf(c_64494,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_48335]) ).
tcf(c_64495,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_47775]) ).
tcf(c_64496,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_46610]) ).
tcf(c_64497,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_46571]) ).
tcf(c_64498,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_22437]) ).
tcf(c_64499,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_19101]) ).
tcf(c_64500,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_19098]) ).
tcf(c_64501,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_17745]) ).
tcf(c_64502,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_16312]) ).
tcf(c_64503,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_16009]) ).
tcf(c_64504,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_19099]) ).
tcf(c_64505,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_19102]) ).
tcf(c_64506,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_14187]) ).
tcf(c_64507,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_5588]) ).
tcf(c_64508,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1826]) ).
tcf(c_64509,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1179]) ).
tcf(c_64510,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_1119]) ).
tcf(c_64512,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_55049,c_6689]) ).
tcf(c_64513,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_5259]) ).
tcf(c_64514,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_55049,c_6690]) ).
tcf(c_64515,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_4256]) ).
tcf(c_64516,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_5260]) ).
tcf(c_64517,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_4257]) ).
tcf(c_64518,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_55049,c_1678]) ).
tcf(c_64519,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))),sK7(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_1594]) ).
tcf(c_64520,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_55049,c_1679]) ).
tcf(c_64521,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_55049,c_1595]) ).
tcf(c_64809,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_60131]) ).
tcf(c_64810,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_60131]) ).
tcf(c_64811,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_60131]) ).
tcf(c_64812,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_60131]) ).
tcf(c_64813,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_60131]) ).
tcf(c_64814,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_60131]) ).
tcf(c_64815,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_60131]) ).
tcf(c_64816,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_60131]) ).
tcf(c_64817,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_60131]) ).
tcf(c_64818,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_60131]) ).
tcf(c_64819,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_60131]) ).
tcf(c_64821,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_60131]) ).
tcf(c_64822,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_60131]) ).
tcf(c_64823,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),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)) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_60131]) ).
tcf(c_64824,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_60131]) ).
tcf(c_64826,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_60131]) ).
tcf(c_64827,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_60131]) ).
tcf(c_64828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_60131]) ).
tcf(c_64829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_60131]) ).
tcf(c_64830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_60131]) ).
tcf(c_64831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_60131]) ).
tcf(c_64832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_60131]) ).
tcf(c_64833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_60131]) ).
tcf(c_64834,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(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)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_60131]) ).
tcf(c_64835,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,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)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_60131]) ).
tcf(c_64836,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_60131]) ).
tcf(c_64837,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_60131]) ).
tcf(c_64840,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_60131]) ).
tcf(c_64841,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_60131]) ).
tcf(c_64842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_60131]) ).
tcf(c_64843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_60131]) ).
tcf(c_64844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_60131]) ).
tcf(c_64845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_60131]) ).
tcf(c_64892,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64809,c_948]) ).
tcf(c_64895,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64811,c_948]) ).
tcf(c_64918,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64810,c_948]) ).
tcf(c_65099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_54901,c_44494]) ).
tcf(c_65100,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_23012]) ).
tcf(c_65103,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_20064]) ).
tcf(c_65106,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_8812]) ).
tcf(c_65108,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_7788]) ).
tcf(c_65110,plain,
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_2271]) ).
tcf(c_65112,plain,
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_2041]) ).
tcf(c_65114,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X1,X0))
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0) ),
inference(superposition,[status(thm)],[c_54901,c_1299]) ).
tcf(c_65115,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),inverse_image3(sK0,X1,X0))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_54901,c_1319]) ).
tcf(c_65118,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_28808]) ).
tcf(c_65122,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_20729]) ).
tcf(c_65130,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65103,c_50594]) ).
tcf(c_65133,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65122,c_50594]) ).
tcf(c_65137,plain,
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_65112,c_54901]) ).
tcf(c_65139,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65100,c_50594]) ).
tcf(c_65142,plain,
( apply(sK0,sK4(sK2,sK3),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_65110,c_54901]) ).
tcf(c_65144,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK4(sK2,sK3)),X0)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_65108,c_54901]) ).
tcf(c_65146,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65118,c_50594]) ).
tcf(c_65151,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_65099,c_54901]) ).
tcf(c_65153,plain,
! [X0: $i] :
( apply(sK0,sK4(sK2,sK3),sK8(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_65106,c_54901]) ).
tcf(c_65155,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X0,X1))
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_65114,c_54901]) ).
tcf(c_65159,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_54942,c_55]) ).
tcf(c_65160,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_59365]) ).
tcf(c_65161,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_58365]) ).
tcf(c_65162,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54942,c_58326]) ).
tcf(c_65163,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_51949]) ).
tcf(c_65164,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_47814]) ).
tcf(c_65165,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54942,c_48335]) ).
tcf(c_65166,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_47775]) ).
tcf(c_65167,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_46610]) ).
tcf(c_65168,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54942,c_46571]) ).
tcf(c_65169,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_22437]) ).
tcf(c_65170,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_19101]) ).
tcf(c_65171,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_19098]) ).
tcf(c_65172,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_17745]) ).
tcf(c_65173,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_16312]) ).
tcf(c_65174,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_16009]) ).
tcf(c_65175,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_19099]) ).
tcf(c_65176,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_19102]) ).
tcf(c_65177,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_14187]) ).
tcf(c_65178,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_5588]) ).
tcf(c_65179,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))),
inference(superposition,[status(thm)],[c_54942,c_1826]) ).
tcf(c_65180,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54942,c_1179]) ).
tcf(c_65181,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54942,c_1119]) ).
tcf(c_65182,plain,
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_46048]) ).
tcf(c_65183,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54942,c_6689]) ).
tcf(c_65184,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_5259]) ).
tcf(c_65185,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54942,c_6690]) ).
tcf(c_65186,plain,
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_4256]) ).
tcf(c_65187,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_5260]) ).
tcf(c_65188,plain,
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_4257]) ).
tcf(c_65189,plain,
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54942,c_1678]) ).
tcf(c_65190,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_1594]) ).
tcf(c_65191,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK2)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54942,c_1679]) ).
tcf(c_65192,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_54942,c_1595]) ).
tcf(c_65199,plain,
member(sK8(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_65191,c_54942]) ).
tcf(c_65206,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65185,c_54942]) ).
tcf(c_65211,plain,
apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))),
inference(forward_subsumption_resolution,[status(thm)],[c_65189,c_54942]) ).
tcf(c_65218,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65183,c_54942]) ).
tcf(c_65395,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),inverse_image3(sK0,X1,X0))
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50609,c_66]) ).
tcf(c_65396,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),image3(sK0,X0,X1))
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50609,c_62]) ).
tcf(c_65397,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50609,c_1092]) ).
tcf(c_65398,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50609,c_332]) ).
tcf(c_65407,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65397,c_50560]) ).
tcf(c_65411,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65398,c_50560]) ).
tcf(c_65452,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_64819,c_55]) ).
tcf(c_65453,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_65]) ).
tcf(c_65454,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_64]) ).
tcf(c_65455,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_63]) ).
tcf(c_65456,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_69]) ).
tcf(c_65457,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_68]) ).
tcf(c_65458,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_67]) ).
tcf(c_65487,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_59365]) ).
tcf(c_65488,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_58365]) ).
tcf(c_65489,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_58326]) ).
tcf(c_65490,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_51949]) ).
tcf(c_65492,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_48335]) ).
tcf(c_65509,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_46048]) ).
tcf(c_65510,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_64819,c_6689]) ).
tcf(c_65511,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_5259]) ).
tcf(c_65512,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_64819,c_6690]) ).
tcf(c_65513,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_4256]) ).
tcf(c_65514,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_5260]) ).
tcf(c_65515,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_4257]) ).
tcf(c_65517,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_1594]) ).
tcf(c_65519,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_64819,c_1595]) ).
tcf(c_65520,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_36577]) ).
tcf(c_65521,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_64819,c_40260]) ).
tcf(c_65522,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_64819,c_40364]) ).
tcf(c_65554,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65522,c_50594]) ).
tcf(c_65558,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65521,c_50594]) ).
tcf(c_65573,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65512,c_50594]) ).
tcf(c_65591,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65510,c_50594]) ).
tcf(c_65649,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) ) ),
inference(superposition,[status(thm)],[c_54,c_61620]) ).
tcf(c_65650,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_61620]) ).
tcf(c_65651,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_954,c_61620]) ).
tcf(c_65652,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_962,c_61620]) ).
tcf(c_65653,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_61620]) ).
tcf(c_65654,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_61620]) ).
tcf(c_65655,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_61620]) ).
tcf(c_65656,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_61620]) ).
tcf(c_65657,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_61620]) ).
tcf(c_65658,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_61620]) ).
tcf(c_65659,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_61620]) ).
tcf(c_65660,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_61620]) ).
tcf(c_65661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_61620]) ).
tcf(c_65662,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(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_61620]) ).
tcf(c_65663,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_61620]) ).
tcf(c_65664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_61620]) ).
tcf(c_65665,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_61620]) ).
tcf(c_65666,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_61620]) ).
tcf(c_65667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_61620]) ).
tcf(c_65668,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_61620]) ).
tcf(c_65669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_61620]) ).
tcf(c_65670,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_61620]) ).
tcf(c_65671,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_61620]) ).
tcf(c_65672,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_61620]) ).
tcf(c_65673,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_61620]) ).
tcf(c_65674,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_61620]) ).
tcf(c_65675,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_61620]) ).
tcf(c_65676,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_61620]) ).
tcf(c_65677,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_61620]) ).
tcf(c_65678,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_61620]) ).
tcf(c_65679,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_61620]) ).
tcf(c_65680,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_61620]) ).
tcf(c_65681,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(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_61620]) ).
tcf(c_65682,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,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_61620]) ).
tcf(c_65684,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_61620]) ).
tcf(c_65685,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_61620]) ).
tcf(c_65686,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_61620]) ).
tcf(c_65688,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_61620]) ).
tcf(c_65689,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_61620]) ).
tcf(c_65690,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_61620]) ).
tcf(c_65691,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_61620]) ).
tcf(c_65692,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_61620]) ).
tcf(c_65693,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_61620]) ).
tcf(c_65694,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_61620]) ).
tcf(c_65695,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_61620]) ).
tcf(c_65696,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_61620]) ).
tcf(c_65697,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_61620]) ).
tcf(c_65698,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_61620]) ).
tcf(c_65699,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_61620]) ).
tcf(c_65700,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_61620]) ).
tcf(c_65702,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_61620]) ).
tcf(c_65703,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_61620]) ).
tcf(c_65704,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_61620]) ).
tcf(c_65705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_61620]) ).
tcf(c_65706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_61620]) ).
tcf(c_65707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_61620]) ).
tcf(c_65708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_61620]) ).
tcf(c_65709,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_61620]) ).
tcf(c_65710,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_61620]) ).
tcf(c_65711,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_61620]) ).
tcf(c_65713,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_50594,c_61620]) ).
tcf(c_65714,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_61620]) ).
tcf(c_65715,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_61620]) ).
tcf(c_65716,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_50603,c_61620]) ).
tcf(c_65717,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))),
inference(superposition,[status(thm)],[c_54942,c_61620]) ).
tcf(c_66186,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_46570,c_52546]) ).
tcf(c_66187,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_52546]) ).
tcf(c_66188,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1118,c_52546]) ).
tcf(c_66207,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_48374]) ).
tcf(c_66208,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_48374]) ).
tcf(c_66209,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_48374]) ).
tcf(c_66210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_48374]) ).
tcf(c_66211,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_48374]) ).
tcf(c_66212,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_48374]) ).
tcf(c_66214,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_48374]) ).
tcf(c_66215,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_48374]) ).
tcf(c_66216,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_48374]) ).
tcf(c_66217,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_48374]) ).
tcf(c_66218,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_48374]) ).
tcf(c_66219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_48374]) ).
tcf(c_66220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_48374]) ).
tcf(c_66221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_48374]) ).
tcf(c_66222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_48374]) ).
tcf(c_66223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_48374]) ).
tcf(c_66224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_48374]) ).
tcf(c_66225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_48374]) ).
tcf(c_66226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_48374]) ).
tcf(c_66227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_48374]) ).
tcf(c_66228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_48374]) ).
tcf(c_66229,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_48374]) ).
tcf(c_66230,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_48374]) ).
tcf(c_66232,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_48374]) ).
tcf(c_66233,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_48374]) ).
tcf(c_66234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_48374]) ).
tcf(c_66235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_48374]) ).
tcf(c_66236,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_48374]) ).
tcf(c_66237,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_48374]) ).
tcf(c_66238,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_48374]) ).
tcf(c_66239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_48374]) ).
tcf(c_66240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_48374]) ).
tcf(c_66242,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_48374]) ).
tcf(c_66244,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_48374]) ).
tcf(c_66246,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_48374]) ).
tcf(c_66247,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_48374]) ).
tcf(c_66248,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_48374]) ).
tcf(c_66249,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_48374]) ).
tcf(c_66250,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_48374]) ).
tcf(c_66251,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_48374]) ).
tcf(c_66252,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_48374]) ).
tcf(c_66253,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_48374]) ).
tcf(c_66254,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_48374]) ).
tcf(c_66255,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_48374]) ).
tcf(c_66256,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_48374]) ).
tcf(c_66257,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_48374]) ).
tcf(c_66258,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_48374]) ).
tcf(c_66259,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_48374]) ).
tcf(c_66260,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_48374]) ).
tcf(c_66261,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_48374]) ).
tcf(c_66262,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_48374]) ).
tcf(c_66263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_48374]) ).
tcf(c_66264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_48374]) ).
tcf(c_66265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_48374]) ).
tcf(c_66266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_48374]) ).
tcf(c_66267,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_48374]) ).
tcf(c_66268,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_48374]) ).
tcf(c_66269,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_48374]) ).
tcf(c_66271,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_48374]) ).
tcf(c_66272,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_48374]) ).
tcf(c_66273,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_48374]) ).
tcf(c_66274,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_48374]) ).
tcf(c_66275,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_48374]) ).
tcf(c_66294,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_66274,c_54901]) ).
tcf(c_66651,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_66865,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_51988]) ).
tcf(c_66866,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_51988]) ).
tcf(c_66867,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_51988]) ).
tcf(c_66868,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_51988]) ).
tcf(c_66869,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_51988]) ).
tcf(c_66870,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_51988]) ).
tcf(c_66872,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_51988]) ).
tcf(c_66873,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_51988]) ).
tcf(c_66874,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_51988]) ).
tcf(c_66875,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_51988]) ).
tcf(c_66876,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_51988]) ).
tcf(c_66877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_51988]) ).
tcf(c_66878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_51988]) ).
tcf(c_66879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_51988]) ).
tcf(c_66880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_51988]) ).
tcf(c_66881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_51988]) ).
tcf(c_66882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_51988]) ).
tcf(c_66883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_51988]) ).
tcf(c_66884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_51988]) ).
tcf(c_66885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_51988]) ).
tcf(c_66886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_51988]) ).
tcf(c_66887,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_51988]) ).
tcf(c_66888,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_51988]) ).
tcf(c_66890,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_51988]) ).
tcf(c_66891,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_51988]) ).
tcf(c_66892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_51988]) ).
tcf(c_66893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_51988]) ).
tcf(c_66894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_51988]) ).
tcf(c_66895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_51988]) ).
tcf(c_66896,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_51988]) ).
tcf(c_66897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_51988]) ).
tcf(c_66898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_51988]) ).
tcf(c_66900,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_51988]) ).
tcf(c_66902,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_51988]) ).
tcf(c_66904,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_51988]) ).
tcf(c_66905,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_51988]) ).
tcf(c_66906,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_51988]) ).
tcf(c_66907,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_51988]) ).
tcf(c_66908,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_51988]) ).
tcf(c_66909,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_51988]) ).
tcf(c_66910,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_51988]) ).
tcf(c_66911,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_51988]) ).
tcf(c_66912,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_51988]) ).
tcf(c_66913,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_51988]) ).
tcf(c_66914,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_51988]) ).
tcf(c_66915,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_51988]) ).
tcf(c_66916,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_51988]) ).
tcf(c_66917,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_51988]) ).
tcf(c_66918,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_51988]) ).
tcf(c_66919,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_51988]) ).
tcf(c_66920,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_51988]) ).
tcf(c_66921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_51988]) ).
tcf(c_66922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_51988]) ).
tcf(c_66923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_51988]) ).
tcf(c_66924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_51988]) ).
tcf(c_66925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_51988]) ).
tcf(c_66926,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_51988]) ).
tcf(c_66927,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_51988]) ).
tcf(c_66929,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_51988]) ).
tcf(c_66930,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_51988]) ).
tcf(c_66931,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_51988]) ).
tcf(c_66932,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_51988]) ).
tcf(c_66933,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_51988]) ).
tcf(c_66952,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_66932,c_54901]) ).
tcf(c_67490,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_53524]) ).
tcf(c_67491,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_53524]) ).
tcf(c_67492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_53524]) ).
tcf(c_67493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_53524]) ).
tcf(c_67494,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_53524]) ).
tcf(c_67495,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_53524]) ).
tcf(c_67497,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_53524]) ).
tcf(c_67498,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_53524]) ).
tcf(c_67499,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_53524]) ).
tcf(c_67500,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_53524]) ).
tcf(c_67501,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_53524]) ).
tcf(c_67502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_53524]) ).
tcf(c_67503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_53524]) ).
tcf(c_67504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_53524]) ).
tcf(c_67505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_53524]) ).
tcf(c_67506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_53524]) ).
tcf(c_67507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_53524]) ).
tcf(c_67508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_53524]) ).
tcf(c_67509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_53524]) ).
tcf(c_67510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_53524]) ).
tcf(c_67511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_53524]) ).
tcf(c_67512,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_53524]) ).
tcf(c_67513,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_53524]) ).
tcf(c_67514,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_53524]) ).
tcf(c_67515,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_53524]) ).
tcf(c_67516,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_53524]) ).
tcf(c_67517,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_53524]) ).
tcf(c_67518,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_53524]) ).
tcf(c_67519,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_53524]) ).
tcf(c_67520,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_53524]) ).
tcf(c_67521,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_53524]) ).
tcf(c_67522,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_53524]) ).
tcf(c_67523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_53524]) ).
tcf(c_67524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_53524]) ).
tcf(c_67525,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_53524]) ).
tcf(c_67528,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_53524]) ).
tcf(c_67529,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_53524]) ).
tcf(c_67530,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_53524]) ).
tcf(c_67531,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_53524]) ).
tcf(c_67533,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_53524]) ).
tcf(c_67534,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_53524]) ).
tcf(c_67535,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_53524]) ).
tcf(c_67536,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_53524]) ).
tcf(c_67537,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_53524]) ).
tcf(c_67538,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_53524]) ).
tcf(c_67539,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_53524]) ).
tcf(c_67540,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_53524]) ).
tcf(c_67541,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_53524]) ).
tcf(c_67542,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_53524]) ).
tcf(c_67543,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_53524]) ).
tcf(c_67544,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_53524]) ).
tcf(c_67545,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_53524]) ).
tcf(c_67546,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_53524]) ).
tcf(c_67547,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_53524]) ).
tcf(c_67548,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_53524]) ).
tcf(c_67549,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_53524]) ).
tcf(c_67551,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_53524]) ).
tcf(c_67552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_53524]) ).
tcf(c_67553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_53524]) ).
tcf(c_67554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_53524]) ).
tcf(c_67555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_53524]) ).
tcf(c_67556,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_53524]) ).
tcf(c_67557,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_53524]) ).
tcf(c_67558,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_53524]) ).
tcf(c_67559,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_53524]) ).
tcf(c_67560,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_53524]) ).
tcf(c_67562,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_53524]) ).
tcf(c_67563,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_53524]) ).
tcf(c_67564,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_53524]) ).
tcf(c_67565,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_53524]) ).
tcf(c_67566,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_53524]) ).
tcf(c_67567,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_53524]) ).
tcf(c_67568,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_53524]) ).
tcf(c_67569,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_53524]) ).
tcf(c_67570,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_53524]) ).
tcf(c_67578,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_67560,c_50392]) ).
tcf(c_67618,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_67563,c_54928]) ).
tcf(c_67653,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_67568,c_54928]) ).
tcf(c_68118,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_55225]) ).
tcf(c_68119,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_55225]) ).
tcf(c_68120,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_55225]) ).
tcf(c_68121,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_55225]) ).
tcf(c_68122,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_55225]) ).
tcf(c_68123,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_55225]) ).
tcf(c_68125,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_55225]) ).
tcf(c_68126,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_55225]) ).
tcf(c_68127,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_55225]) ).
tcf(c_68128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_55225]) ).
tcf(c_68129,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_55225]) ).
tcf(c_68130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_55225]) ).
tcf(c_68131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_55225]) ).
tcf(c_68132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_55225]) ).
tcf(c_68133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_55225]) ).
tcf(c_68134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_55225]) ).
tcf(c_68135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_55225]) ).
tcf(c_68136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_55225]) ).
tcf(c_68137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_55225]) ).
tcf(c_68138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_55225]) ).
tcf(c_68139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_55225]) ).
tcf(c_68140,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_55225]) ).
tcf(c_68141,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_55225]) ).
tcf(c_68143,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_55225]) ).
tcf(c_68144,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_55225]) ).
tcf(c_68145,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_55225]) ).
tcf(c_68146,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_55225]) ).
tcf(c_68147,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_55225]) ).
tcf(c_68148,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_55225]) ).
tcf(c_68149,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_55225]) ).
tcf(c_68150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_55225]) ).
tcf(c_68151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_55225]) ).
tcf(c_68153,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_55225]) ).
tcf(c_68155,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_55225]) ).
tcf(c_68157,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_55225]) ).
tcf(c_68158,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_55225]) ).
tcf(c_68159,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_55225]) ).
tcf(c_68160,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_55225]) ).
tcf(c_68161,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_55225]) ).
tcf(c_68162,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_55225]) ).
tcf(c_68163,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_55225]) ).
tcf(c_68164,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_55225]) ).
tcf(c_68165,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_55225]) ).
tcf(c_68166,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_55225]) ).
tcf(c_68167,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_55225]) ).
tcf(c_68168,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_55225]) ).
tcf(c_68169,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_55225]) ).
tcf(c_68170,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_55225]) ).
tcf(c_68171,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_55225]) ).
tcf(c_68172,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_55225]) ).
tcf(c_68173,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_55225]) ).
tcf(c_68174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_55225]) ).
tcf(c_68175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_55225]) ).
tcf(c_68176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_55225]) ).
tcf(c_68177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_55225]) ).
tcf(c_68178,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_55225]) ).
tcf(c_68179,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_55225]) ).
tcf(c_68180,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_55225]) ).
tcf(c_68182,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_55225]) ).
tcf(c_68183,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_55225]) ).
tcf(c_68184,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_55225]) ).
tcf(c_68185,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_55225]) ).
tcf(c_68186,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_55225]) ).
tcf(c_68205,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_68185,c_54901]) ).
tcf(c_68664,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_55246]) ).
tcf(c_68665,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_55246]) ).
tcf(c_68666,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_55246]) ).
tcf(c_68667,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_55246]) ).
tcf(c_68668,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_55246]) ).
tcf(c_68669,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_55246]) ).
tcf(c_68671,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_55246]) ).
tcf(c_68672,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_55246]) ).
tcf(c_68673,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_55246]) ).
tcf(c_68674,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_55246]) ).
tcf(c_68675,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_55246]) ).
tcf(c_68676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_55246]) ).
tcf(c_68677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_55246]) ).
tcf(c_68678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_55246]) ).
tcf(c_68679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_55246]) ).
tcf(c_68680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_55246]) ).
tcf(c_68681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_55246]) ).
tcf(c_68682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_55246]) ).
tcf(c_68683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_55246]) ).
tcf(c_68684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_55246]) ).
tcf(c_68685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_55246]) ).
tcf(c_68686,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_55246]) ).
tcf(c_68687,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_55246]) ).
tcf(c_68688,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_55246]) ).
tcf(c_68689,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_55246]) ).
tcf(c_68690,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_55246]) ).
tcf(c_68691,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_55246]) ).
tcf(c_68692,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_55246]) ).
tcf(c_68693,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_55246]) ).
tcf(c_68694,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_55246]) ).
tcf(c_68695,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_55246]) ).
tcf(c_68696,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_55246]) ).
tcf(c_68697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_55246]) ).
tcf(c_68698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_55246]) ).
tcf(c_68699,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_55246]) ).
tcf(c_68702,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_55246]) ).
tcf(c_68703,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_55246]) ).
tcf(c_68704,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_55246]) ).
tcf(c_68705,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_55246]) ).
tcf(c_68707,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_55246]) ).
tcf(c_68708,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_55246]) ).
tcf(c_68709,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_55246]) ).
tcf(c_68710,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_55246]) ).
tcf(c_68711,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_55246]) ).
tcf(c_68712,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_55246]) ).
tcf(c_68713,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_55246]) ).
tcf(c_68714,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_55246]) ).
tcf(c_68715,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_55246]) ).
tcf(c_68716,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_55246]) ).
tcf(c_68717,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_55246]) ).
tcf(c_68718,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_55246]) ).
tcf(c_68719,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_55246]) ).
tcf(c_68720,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_55246]) ).
tcf(c_68721,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_55246]) ).
tcf(c_68722,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_55246]) ).
tcf(c_68723,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_55246]) ).
tcf(c_68725,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_55246]) ).
tcf(c_68726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_55246]) ).
tcf(c_68727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_55246]) ).
tcf(c_68728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_55246]) ).
tcf(c_68729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_55246]) ).
tcf(c_68730,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_55246]) ).
tcf(c_68731,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_55246]) ).
tcf(c_68732,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_55246]) ).
tcf(c_68733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_55246]) ).
tcf(c_68734,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_55246]) ).
tcf(c_68736,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_55246]) ).
tcf(c_68737,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_55246]) ).
tcf(c_68738,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_55246]) ).
tcf(c_68739,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_55246]) ).
tcf(c_68740,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_55246]) ).
tcf(c_68741,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_55246]) ).
tcf(c_68742,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_55246]) ).
tcf(c_68743,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_55246]) ).
tcf(c_68744,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_55246]) ).
tcf(c_69280,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X2)
| ~ subset(sK1,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_60795,c_55]) ).
tcf(c_69281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_65]) ).
tcf(c_69282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,X0,sK4(sK2,sK3))),X2)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_64]) ).
tcf(c_69283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X3)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_63]) ).
tcf(c_69284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(sK0,X0,sK4(sK2,sK3)),sK8(X1,X2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_69]) ).
tcf(c_69285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK7(sK0,X0,sK4(sK2,sK3))),X2)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_68]) ).
tcf(c_69286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X3)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_60795,c_67]) ).
tcf(c_69287,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_55246]) ).
tcf(c_69288,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_53524]) ).
tcf(c_69289,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_52521]) ).
tcf(c_69290,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_59386]) ).
tcf(c_69291,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_58863]) ).
tcf(c_69292,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_58347]) ).
tcf(c_69293,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_58318]) ).
tcf(c_69294,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_51970]) ).
tcf(c_69295,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_51318]) ).
tcf(c_69296,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_50927]) ).
tcf(c_69297,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_48356]) ).
tcf(c_69298,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_47796]) ).
tcf(c_69299,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_47218]) ).
tcf(c_69300,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_46592]) ).
tcf(c_69301,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_46549]) ).
tcf(c_69302,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_22454]) ).
tcf(c_69303,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_21013]) ).
tcf(c_69304,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_17762]) ).
tcf(c_69305,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_16596]) ).
tcf(c_69306,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_16329]) ).
tcf(c_69307,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_16026]) ).
tcf(c_69308,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_19577]) ).
tcf(c_69309,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_14204]) ).
tcf(c_69310,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_13122]) ).
tcf(c_69311,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_3997]) ).
tcf(c_69312,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_5599]) ).
tcf(c_69313,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_3998]) ).
tcf(c_69314,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_1204]) ).
tcf(c_69315,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_1148]) ).
tcf(c_69316,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_1111]) ).
tcf(c_69317,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_55225]) ).
tcf(c_69318,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_51988]) ).
tcf(c_69319,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_48374]) ).
tcf(c_69320,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_61620]) ).
tcf(c_69321,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_59365]) ).
tcf(c_69322,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_58365]) ).
tcf(c_69323,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_58326]) ).
tcf(c_69324,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_51949]) ).
tcf(c_69325,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_47814]) ).
tcf(c_69326,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_48335]) ).
tcf(c_69327,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_47775]) ).
tcf(c_69328,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_46610]) ).
tcf(c_69329,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_46571]) ).
tcf(c_69330,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_22437]) ).
tcf(c_69331,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_19101]) ).
tcf(c_69332,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_19098]) ).
tcf(c_69333,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_17745]) ).
tcf(c_69334,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_16312]) ).
tcf(c_69335,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_16009]) ).
tcf(c_69336,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_19099]) ).
tcf(c_69337,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_19102]) ).
tcf(c_69338,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_14187]) ).
tcf(c_69339,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_5588]) ).
tcf(c_69340,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_1826]) ).
tcf(c_69341,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_1179]) ).
tcf(c_69342,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_1119]) ).
tcf(c_69343,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_60795,c_46048]) ).
tcf(c_69344,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_6689]) ).
tcf(c_69345,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_5259]) ).
tcf(c_69346,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_6690]) ).
tcf(c_69347,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_4256]) ).
tcf(c_69348,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_5260]) ).
tcf(c_69349,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_4257]) ).
tcf(c_69350,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_1678]) ).
tcf(c_69351,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_1594]) ).
tcf(c_69352,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_1679]) ).
tcf(c_69353,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60795,c_1595]) ).
tcf(c_69355,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,image3(X1,X2,sK3))
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_40260]) ).
tcf(c_69356,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,inverse_image3(X1,X2,sK3))
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60795,c_40364]) ).
tcf(c_70084,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_61076,c_55]) ).
tcf(c_70085,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_65]) ).
tcf(c_70086,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_64]) ).
tcf(c_70087,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_63]) ).
tcf(c_70088,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_69]) ).
tcf(c_70089,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_68]) ).
tcf(c_70090,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61076,c_67]) ).
tcf(c_70091,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_55246]) ).
tcf(c_70092,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_53524]) ).
tcf(c_70093,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_52521]) ).
tcf(c_70094,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_59386]) ).
tcf(c_70095,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_58863]) ).
tcf(c_70096,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_58347]) ).
tcf(c_70097,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_58318]) ).
tcf(c_70098,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_51970]) ).
tcf(c_70099,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_51318]) ).
tcf(c_70100,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_50927]) ).
tcf(c_70101,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_48356]) ).
tcf(c_70102,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_47796]) ).
tcf(c_70103,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_47218]) ).
tcf(c_70106,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_22454]) ).
tcf(c_70107,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_21013]) ).
tcf(c_70108,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_17762]) ).
tcf(c_70109,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_16596]) ).
tcf(c_70110,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_16329]) ).
tcf(c_70111,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_16026]) ).
tcf(c_70112,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_19577]) ).
tcf(c_70113,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_14204]) ).
tcf(c_70114,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_13122]) ).
tcf(c_70115,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_3997]) ).
tcf(c_70116,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_5599]) ).
tcf(c_70118,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_1204]) ).
tcf(c_70119,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_1148]) ).
tcf(c_70121,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_55225]) ).
tcf(c_70122,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_51988]) ).
tcf(c_70123,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_48374]) ).
tcf(c_70124,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_61620]) ).
tcf(c_70125,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_59365]) ).
tcf(c_70126,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_58365]) ).
tcf(c_70127,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_58326]) ).
tcf(c_70128,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_51949]) ).
tcf(c_70129,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_47814]) ).
tcf(c_70130,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_48335]) ).
tcf(c_70131,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_47775]) ).
tcf(c_70132,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_46610]) ).
tcf(c_70133,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_46571]) ).
tcf(c_70134,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_22437]) ).
tcf(c_70135,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_19101]) ).
tcf(c_70136,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_19098]) ).
tcf(c_70137,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_17745]) ).
tcf(c_70138,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_16312]) ).
tcf(c_70139,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_16009]) ).
tcf(c_70140,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_19099]) ).
tcf(c_70141,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_19102]) ).
tcf(c_70142,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_14187]) ).
tcf(c_70143,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_5588]) ).
tcf(c_70148,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61076,c_6689]) ).
tcf(c_70149,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61076,c_5259]) ).
tcf(c_70150,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61076,c_6690]) ).
tcf(c_70151,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK7(sK0,sK1,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61076,c_4256]) ).
tcf(c_70152,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61076,c_5260]) ).
tcf(c_70153,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61076,c_4257]) ).
tcf(c_70192,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70150,c_50594]) ).
tcf(c_70208,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70148,c_50594]) ).
tcf(c_70213,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70143,c_54901]) ).
tcf(c_70217,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70141,c_54901]) ).
tcf(c_70221,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK7(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70132,c_54901]) ).
tcf(c_70225,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70131,c_54901]) ).
tcf(c_70235,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70142,c_54901]) ).
tcf(c_70239,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70140,c_54901]) ).
tcf(c_70244,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70129,c_54901]) ).
tcf(c_70248,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70128,c_54901]) ).
tcf(c_70252,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70126,c_54901]) ).
tcf(c_70256,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70125,c_54901]) ).
tcf(c_70270,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70139,c_54901]) ).
tcf(c_70275,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70137,c_54901]) ).
tcf(c_70279,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70136,c_54901]) ).
tcf(c_70283,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70135,c_54901]) ).
tcf(c_70289,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70123,c_54901]) ).
tcf(c_70293,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70122,c_54901]) ).
tcf(c_70297,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_70121,c_54901]) ).
tcf(c_70419,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_61265,c_55]) ).
tcf(c_70420,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_65]) ).
tcf(c_70421,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK3,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_64]) ).
tcf(c_70422,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_63]) ).
tcf(c_70423,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,sK3,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_69]) ).
tcf(c_70424,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK3,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_68]) ).
tcf(c_70425,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61265,c_67]) ).
tcf(c_70426,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_55246]) ).
tcf(c_70427,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_53524]) ).
tcf(c_70428,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_52521]) ).
tcf(c_70429,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_59386]) ).
tcf(c_70430,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_58863]) ).
tcf(c_70431,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_58347]) ).
tcf(c_70432,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_58318]) ).
tcf(c_70433,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_51970]) ).
tcf(c_70434,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_51318]) ).
tcf(c_70435,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_50927]) ).
tcf(c_70436,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_48356]) ).
tcf(c_70437,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_47796]) ).
tcf(c_70438,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_47218]) ).
tcf(c_70439,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_46592]) ).
tcf(c_70440,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_46549]) ).
tcf(c_70441,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_22454]) ).
tcf(c_70442,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_21013]) ).
tcf(c_70443,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_17762]) ).
tcf(c_70444,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_16596]) ).
tcf(c_70445,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_16329]) ).
tcf(c_70446,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_16026]) ).
tcf(c_70447,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_19577]) ).
tcf(c_70448,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_14204]) ).
tcf(c_70449,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_13122]) ).
tcf(c_70450,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_3997]) ).
tcf(c_70451,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_5599]) ).
tcf(c_70452,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_3998]) ).
tcf(c_70453,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1204]) ).
tcf(c_70454,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1148]) ).
tcf(c_70455,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1111]) ).
tcf(c_70456,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_55225]) ).
tcf(c_70457,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_51988]) ).
tcf(c_70458,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_48374]) ).
tcf(c_70459,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_61620]) ).
tcf(c_70460,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_59365]) ).
tcf(c_70461,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_58365]) ).
tcf(c_70462,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_58326]) ).
tcf(c_70463,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_51949]) ).
tcf(c_70464,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_47814]) ).
tcf(c_70465,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_48335]) ).
tcf(c_70466,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_47775]) ).
tcf(c_70467,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_46610]) ).
tcf(c_70468,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_46571]) ).
tcf(c_70469,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_22437]) ).
tcf(c_70470,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_19101]) ).
tcf(c_70471,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_19098]) ).
tcf(c_70472,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_17745]) ).
tcf(c_70473,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_16312]) ).
tcf(c_70474,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_16009]) ).
tcf(c_70475,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_19099]) ).
tcf(c_70476,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_19102]) ).
tcf(c_70477,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_14187]) ).
tcf(c_70478,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_5588]) ).
tcf(c_70479,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1826]) ).
tcf(c_70480,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1179]) ).
tcf(c_70481,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_1119]) ).
tcf(c_70483,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,sK3,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61265,c_6689]) ).
tcf(c_70484,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_5259]) ).
tcf(c_70485,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK3,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61265,c_6690]) ).
tcf(c_70486,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_4256]) ).
tcf(c_70487,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_5260]) ).
tcf(c_70488,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_4257]) ).
tcf(c_70489,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61265,c_1678]) ).
tcf(c_70490,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_1594]) ).
tcf(c_70491,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61265,c_1679]) ).
tcf(c_70492,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61265,c_1595]) ).
tcf(c_70778,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54018]) ).
tcf(c_70779,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54018]) ).
tcf(c_70780,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK4(sK2,sK3)),sK4(sK2,sK3))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54018]) ).
tcf(c_70954,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),inverse_image3(sK0,X2,X1))
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),X2)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(superposition,[status(thm)],[c_50612,c_66]) ).
tcf(c_70955,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),image3(sK0,X1,X2))
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),X2)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(superposition,[status(thm)],[c_50612,c_62]) ).
tcf(c_70956,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50612,c_1092]) ).
tcf(c_70957,plain,
! [X0: $i,X1: $i] :
( ( sK4(sK2,sK3) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK2)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(superposition,[status(thm)],[c_50612,c_332]) ).
tcf(c_70967,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) = sK4(sK2,sK3) )
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70956,c_50560]) ).
tcf(c_70971,plain,
! [X0: $i,X1: $i] :
( ( sK4(sK2,sK3) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70957,c_50560]) ).
tcf(c_70985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_54574]) ).
tcf(c_70986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54574]) ).
tcf(c_70987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_54574]) ).
tcf(c_71001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_54575]) ).
tcf(c_71002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54575]) ).
tcf(c_71003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_54575]) ).
tcf(c_71017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_54576]) ).
tcf(c_71018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54576]) ).
tcf(c_71019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_54576]) ).
tcf(c_71035,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_55778]) ).
tcf(c_71036,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_55778]) ).
tcf(c_71037,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_55778]) ).
tcf(c_71038,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_55778]) ).
tcf(c_71039,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_55778]) ).
tcf(c_71040,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_55778]) ).
tcf(c_71042,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_55778]) ).
tcf(c_71043,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_55778]) ).
tcf(c_71044,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_55778]) ).
tcf(c_71045,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_55778]) ).
tcf(c_71046,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_55778]) ).
tcf(c_71047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_55778]) ).
tcf(c_71048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_55778]) ).
tcf(c_71049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_55778]) ).
tcf(c_71050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_55778]) ).
tcf(c_71051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_55778]) ).
tcf(c_71052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_55778]) ).
tcf(c_71053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_55778]) ).
tcf(c_71054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_55778]) ).
tcf(c_71055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_55778]) ).
tcf(c_71056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_55778]) ).
tcf(c_71057,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_55778]) ).
tcf(c_71058,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_55778]) ).
tcf(c_71060,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_55778]) ).
tcf(c_71061,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_55778]) ).
tcf(c_71062,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_55778]) ).
tcf(c_71063,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_55778]) ).
tcf(c_71064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_55778]) ).
tcf(c_71065,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_55778]) ).
tcf(c_71066,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_55778]) ).
tcf(c_71067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_55778]) ).
tcf(c_71068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_55778]) ).
tcf(c_71070,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_55778]) ).
tcf(c_71072,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_55778]) ).
tcf(c_71074,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_55778]) ).
tcf(c_71075,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_55778]) ).
tcf(c_71076,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_55778]) ).
tcf(c_71077,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_55778]) ).
tcf(c_71078,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_55778]) ).
tcf(c_71079,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_55778]) ).
tcf(c_71080,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_55778]) ).
tcf(c_71081,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_55778]) ).
tcf(c_71082,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_55778]) ).
tcf(c_71083,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_55778]) ).
tcf(c_71084,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_55778]) ).
tcf(c_71085,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_55778]) ).
tcf(c_71086,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_55778]) ).
tcf(c_71087,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_55778]) ).
tcf(c_71088,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_55778]) ).
tcf(c_71089,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_55778]) ).
tcf(c_71090,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_55778]) ).
tcf(c_71091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_55778]) ).
tcf(c_71092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_55778]) ).
tcf(c_71093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_55778]) ).
tcf(c_71094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_55778]) ).
tcf(c_71095,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_55778]) ).
tcf(c_71096,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_55778]) ).
tcf(c_71097,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_55778]) ).
tcf(c_71098,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_55778]) ).
tcf(c_71100,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_55778]) ).
tcf(c_71101,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_55778]) ).
tcf(c_71102,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_55778]) ).
tcf(c_71103,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_55778]) ).
tcf(c_71104,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_55778]) ).
tcf(c_71105,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_55778]) ).
tcf(c_71106,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_55778]) ).
tcf(c_71558,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_55799]) ).
tcf(c_71559,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_55799]) ).
tcf(c_71560,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_55799]) ).
tcf(c_71561,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_55799]) ).
tcf(c_71562,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_55799]) ).
tcf(c_71563,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_55799]) ).
tcf(c_71565,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_55799]) ).
tcf(c_71566,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_55799]) ).
tcf(c_71567,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_55799]) ).
tcf(c_71568,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_55799]) ).
tcf(c_71569,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_55799]) ).
tcf(c_71570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_55799]) ).
tcf(c_71571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_55799]) ).
tcf(c_71572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_55799]) ).
tcf(c_71573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_55799]) ).
tcf(c_71574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_55799]) ).
tcf(c_71575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_55799]) ).
tcf(c_71576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_55799]) ).
tcf(c_71577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_55799]) ).
tcf(c_71578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_55799]) ).
tcf(c_71579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_55799]) ).
tcf(c_71580,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_55799]) ).
tcf(c_71581,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_55799]) ).
tcf(c_71582,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_55799]) ).
tcf(c_71583,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_55799]) ).
tcf(c_71584,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_55799]) ).
tcf(c_71585,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_55799]) ).
tcf(c_71586,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_55799]) ).
tcf(c_71587,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_55799]) ).
tcf(c_71588,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_55799]) ).
tcf(c_71589,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_55799]) ).
tcf(c_71590,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_55799]) ).
tcf(c_71591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_55799]) ).
tcf(c_71592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_55799]) ).
tcf(c_71593,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_55799]) ).
tcf(c_71596,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_55799]) ).
tcf(c_71597,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_55799]) ).
tcf(c_71598,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_55799]) ).
tcf(c_71599,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_55799]) ).
tcf(c_71601,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_55799]) ).
tcf(c_71602,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_55799]) ).
tcf(c_71603,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_55799]) ).
tcf(c_71604,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_55799]) ).
tcf(c_71605,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_55799]) ).
tcf(c_71606,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_55799]) ).
tcf(c_71607,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_55799]) ).
tcf(c_71608,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_55799]) ).
tcf(c_71609,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_55799]) ).
tcf(c_71610,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_55799]) ).
tcf(c_71611,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_55799]) ).
tcf(c_71612,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_55799]) ).
tcf(c_71613,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_55799]) ).
tcf(c_71614,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_55799]) ).
tcf(c_71615,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_55799]) ).
tcf(c_71616,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_55799]) ).
tcf(c_71617,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_55799]) ).
tcf(c_71619,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_55799]) ).
tcf(c_71620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_55799]) ).
tcf(c_71621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_55799]) ).
tcf(c_71622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_55799]) ).
tcf(c_71623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_55799]) ).
tcf(c_71624,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_55799]) ).
tcf(c_71625,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_55799]) ).
tcf(c_71626,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_55799]) ).
tcf(c_71627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_55799]) ).
tcf(c_71628,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_55799]) ).
tcf(c_71629,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_55799]) ).
tcf(c_71631,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_55799]) ).
tcf(c_71632,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_55799]) ).
tcf(c_71633,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_55799]) ).
tcf(c_71634,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_55799]) ).
tcf(c_71635,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_55799]) ).
tcf(c_71636,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_55799]) ).
tcf(c_71637,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_55799]) ).
tcf(c_71638,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_55799]) ).
tcf(c_71639,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_55799]) ).
tcf(c_71640,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_55799]) ).
tcf(c_71641,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_55799]) ).
tcf(c_72009,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_56354]) ).
tcf(c_72010,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_56354]) ).
tcf(c_72011,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_56354]) ).
tcf(c_72012,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_56354]) ).
tcf(c_72013,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_56354]) ).
tcf(c_72014,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_56354]) ).
tcf(c_72016,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_56354]) ).
tcf(c_72017,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_56354]) ).
tcf(c_72018,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_56354]) ).
tcf(c_72019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_56354]) ).
tcf(c_72020,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_56354]) ).
tcf(c_72021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_56354]) ).
tcf(c_72022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_56354]) ).
tcf(c_72023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_56354]) ).
tcf(c_72024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_56354]) ).
tcf(c_72025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_56354]) ).
tcf(c_72026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_56354]) ).
tcf(c_72027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_56354]) ).
tcf(c_72028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_56354]) ).
tcf(c_72029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_56354]) ).
tcf(c_72030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_56354]) ).
tcf(c_72031,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_56354]) ).
tcf(c_72032,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_56354]) ).
tcf(c_72034,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_56354]) ).
tcf(c_72035,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_56354]) ).
tcf(c_72036,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_56354]) ).
tcf(c_72037,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_56354]) ).
tcf(c_72038,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_56354]) ).
tcf(c_72039,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_56354]) ).
tcf(c_72040,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_56354]) ).
tcf(c_72041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_56354]) ).
tcf(c_72042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_56354]) ).
tcf(c_72044,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_56354]) ).
tcf(c_72046,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_56354]) ).
tcf(c_72048,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_56354]) ).
tcf(c_72049,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_56354]) ).
tcf(c_72050,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_56354]) ).
tcf(c_72051,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_56354]) ).
tcf(c_72052,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_56354]) ).
tcf(c_72053,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_56354]) ).
tcf(c_72054,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_56354]) ).
tcf(c_72055,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_56354]) ).
tcf(c_72056,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_56354]) ).
tcf(c_72057,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_56354]) ).
tcf(c_72058,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_56354]) ).
tcf(c_72059,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_56354]) ).
tcf(c_72060,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_56354]) ).
tcf(c_72061,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_56354]) ).
tcf(c_72062,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_56354]) ).
tcf(c_72063,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_56354]) ).
tcf(c_72064,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_56354]) ).
tcf(c_72065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_56354]) ).
tcf(c_72066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_56354]) ).
tcf(c_72067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_56354]) ).
tcf(c_72068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_56354]) ).
tcf(c_72069,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_56354]) ).
tcf(c_72070,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_56354]) ).
tcf(c_72071,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_56354]) ).
tcf(c_72072,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_56354]) ).
tcf(c_72074,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_56354]) ).
tcf(c_72075,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_56354]) ).
tcf(c_72076,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_56354]) ).
tcf(c_72077,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_56354]) ).
tcf(c_72078,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_56354]) ).
tcf(c_72079,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_56354]) ).
tcf(c_72080,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_56354]) ).
tcf(c_72627,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_56375]) ).
tcf(c_72628,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_56375]) ).
tcf(c_72629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_56375]) ).
tcf(c_72630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_56375]) ).
tcf(c_72631,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_56375]) ).
tcf(c_72632,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_56375]) ).
tcf(c_72634,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_56375]) ).
tcf(c_72635,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_56375]) ).
tcf(c_72636,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_56375]) ).
tcf(c_72637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_56375]) ).
tcf(c_72638,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_56375]) ).
tcf(c_72639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_56375]) ).
tcf(c_72640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_56375]) ).
tcf(c_72641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_56375]) ).
tcf(c_72642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_56375]) ).
tcf(c_72643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_56375]) ).
tcf(c_72644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_56375]) ).
tcf(c_72645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_56375]) ).
tcf(c_72646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_56375]) ).
tcf(c_72647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_56375]) ).
tcf(c_72648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_56375]) ).
tcf(c_72649,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_56375]) ).
tcf(c_72650,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_56375]) ).
tcf(c_72651,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_56375]) ).
tcf(c_72652,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_56375]) ).
tcf(c_72653,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_56375]) ).
tcf(c_72654,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_56375]) ).
tcf(c_72655,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_56375]) ).
tcf(c_72656,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_56375]) ).
tcf(c_72657,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_56375]) ).
tcf(c_72658,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_56375]) ).
tcf(c_72659,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_56375]) ).
tcf(c_72660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_56375]) ).
tcf(c_72661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_56375]) ).
tcf(c_72662,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_56375]) ).
tcf(c_72665,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_56375]) ).
tcf(c_72666,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_56375]) ).
tcf(c_72667,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_56375]) ).
tcf(c_72668,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_56375]) ).
tcf(c_72670,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_56375]) ).
tcf(c_72671,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_56375]) ).
tcf(c_72672,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_56375]) ).
tcf(c_72673,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_56375]) ).
tcf(c_72674,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_56375]) ).
tcf(c_72675,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_56375]) ).
tcf(c_72676,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_56375]) ).
tcf(c_72677,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_56375]) ).
tcf(c_72678,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_56375]) ).
tcf(c_72679,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_56375]) ).
tcf(c_72680,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_56375]) ).
tcf(c_72681,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_56375]) ).
tcf(c_72682,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_56375]) ).
tcf(c_72683,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_56375]) ).
tcf(c_72684,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_56375]) ).
tcf(c_72685,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_56375]) ).
tcf(c_72686,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_56375]) ).
tcf(c_72688,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_56375]) ).
tcf(c_72689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_56375]) ).
tcf(c_72690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_56375]) ).
tcf(c_72691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_56375]) ).
tcf(c_72692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_56375]) ).
tcf(c_72693,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_56375]) ).
tcf(c_72694,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_56375]) ).
tcf(c_72695,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_56375]) ).
tcf(c_72696,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_56375]) ).
tcf(c_72697,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_56375]) ).
tcf(c_72698,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_56375]) ).
tcf(c_72700,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_56375]) ).
tcf(c_72701,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_56375]) ).
tcf(c_72702,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_56375]) ).
tcf(c_72703,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_56375]) ).
tcf(c_72704,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_56375]) ).
tcf(c_72705,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_56375]) ).
tcf(c_72706,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_56375]) ).
tcf(c_72707,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_56375]) ).
tcf(c_72708,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_56375]) ).
tcf(c_72709,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_56375]) ).
tcf(c_72710,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_56375]) ).
tcf(c_73107,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_57198]) ).
tcf(c_73108,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_57198]) ).
tcf(c_73109,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_57198]) ).
tcf(c_73110,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_57198]) ).
tcf(c_73111,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_57198]) ).
tcf(c_73112,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_57198]) ).
tcf(c_73114,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_57198]) ).
tcf(c_73115,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_57198]) ).
tcf(c_73116,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_57198]) ).
tcf(c_73117,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_57198]) ).
tcf(c_73118,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_57198]) ).
tcf(c_73119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_57198]) ).
tcf(c_73120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_57198]) ).
tcf(c_73121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_57198]) ).
tcf(c_73122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_57198]) ).
tcf(c_73123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_57198]) ).
tcf(c_73124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_57198]) ).
tcf(c_73125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_57198]) ).
tcf(c_73126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_57198]) ).
tcf(c_73127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_57198]) ).
tcf(c_73128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_57198]) ).
tcf(c_73129,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_57198]) ).
tcf(c_73130,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_57198]) ).
tcf(c_73131,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_57198]) ).
tcf(c_73132,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_57198]) ).
tcf(c_73133,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_57198]) ).
tcf(c_73134,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_57198]) ).
tcf(c_73135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_57198]) ).
tcf(c_73136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_57198]) ).
tcf(c_73137,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_57198]) ).
tcf(c_73138,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_57198]) ).
tcf(c_73139,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_57198]) ).
tcf(c_73140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_57198]) ).
tcf(c_73141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_57198]) ).
tcf(c_73142,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_57198]) ).
tcf(c_73145,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_57198]) ).
tcf(c_73146,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_57198]) ).
tcf(c_73147,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_57198]) ).
tcf(c_73148,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_57198]) ).
tcf(c_73150,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_57198]) ).
tcf(c_73151,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_57198]) ).
tcf(c_73152,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_57198]) ).
tcf(c_73153,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_57198]) ).
tcf(c_73154,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_57198]) ).
tcf(c_73155,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_57198]) ).
tcf(c_73156,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_57198]) ).
tcf(c_73157,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_57198]) ).
tcf(c_73158,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_57198]) ).
tcf(c_73159,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_57198]) ).
tcf(c_73160,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_57198]) ).
tcf(c_73161,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_57198]) ).
tcf(c_73162,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_57198]) ).
tcf(c_73163,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_57198]) ).
tcf(c_73164,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_57198]) ).
tcf(c_73165,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_57198]) ).
tcf(c_73166,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_57198]) ).
tcf(c_73168,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_57198]) ).
tcf(c_73169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_57198]) ).
tcf(c_73170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_57198]) ).
tcf(c_73171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_57198]) ).
tcf(c_73172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_57198]) ).
tcf(c_73173,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_57198]) ).
tcf(c_73174,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_57198]) ).
tcf(c_73175,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_57198]) ).
tcf(c_73176,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_57198]) ).
tcf(c_73177,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_57198]) ).
tcf(c_73178,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_57198]) ).
tcf(c_73180,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_57198]) ).
tcf(c_73181,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_57198]) ).
tcf(c_73182,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_57198]) ).
tcf(c_73183,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_57198]) ).
tcf(c_73184,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_57198]) ).
tcf(c_73185,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_57198]) ).
tcf(c_73186,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_57198]) ).
tcf(c_73187,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_57198]) ).
tcf(c_73188,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_57198]) ).
tcf(c_73189,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_57198]) ).
tcf(c_73190,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_57198]) ).
tcf(c_73703,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_57627]) ).
tcf(c_73704,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_57627]) ).
tcf(c_73705,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_57627]) ).
tcf(c_73706,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_57627]) ).
tcf(c_73707,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_57627]) ).
tcf(c_73708,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_57627]) ).
tcf(c_73710,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_57627]) ).
tcf(c_73711,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_57627]) ).
tcf(c_73712,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_57627]) ).
tcf(c_73713,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_57627]) ).
tcf(c_73714,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_57627]) ).
tcf(c_73715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_57627]) ).
tcf(c_73716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_57627]) ).
tcf(c_73717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_57627]) ).
tcf(c_73718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_57627]) ).
tcf(c_73719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_57627]) ).
tcf(c_73720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_57627]) ).
tcf(c_73721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_57627]) ).
tcf(c_73722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_57627]) ).
tcf(c_73723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_57627]) ).
tcf(c_73724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_57627]) ).
tcf(c_73725,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_57627]) ).
tcf(c_73726,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_57627]) ).
tcf(c_73728,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_57627]) ).
tcf(c_73729,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_57627]) ).
tcf(c_73730,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_57627]) ).
tcf(c_73731,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_57627]) ).
tcf(c_73732,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_57627]) ).
tcf(c_73733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_57627]) ).
tcf(c_73734,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_57627]) ).
tcf(c_73735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_57627]) ).
tcf(c_73736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_57627]) ).
tcf(c_73738,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_57627]) ).
tcf(c_73740,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_57627]) ).
tcf(c_73742,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_57627]) ).
tcf(c_73743,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_57627]) ).
tcf(c_73744,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_57627]) ).
tcf(c_73745,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_57627]) ).
tcf(c_73746,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_57627]) ).
tcf(c_73747,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_57627]) ).
tcf(c_73748,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_57627]) ).
tcf(c_73749,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_57627]) ).
tcf(c_73750,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_57627]) ).
tcf(c_73751,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_57627]) ).
tcf(c_73752,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_57627]) ).
tcf(c_73753,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_57627]) ).
tcf(c_73754,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_57627]) ).
tcf(c_73755,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_57627]) ).
tcf(c_73756,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_57627]) ).
tcf(c_73757,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_57627]) ).
tcf(c_73758,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_57627]) ).
tcf(c_73759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_57627]) ).
tcf(c_73760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_57627]) ).
tcf(c_73761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_57627]) ).
tcf(c_73762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_57627]) ).
tcf(c_73763,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_57627]) ).
tcf(c_73764,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_57627]) ).
tcf(c_73765,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_57627]) ).
tcf(c_73766,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_57627]) ).
tcf(c_73768,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_57627]) ).
tcf(c_73769,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_57627]) ).
tcf(c_73770,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_57627]) ).
tcf(c_73771,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_57627]) ).
tcf(c_73772,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_57627]) ).
tcf(c_73773,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_57627]) ).
tcf(c_73774,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_57627]) ).
tcf(c_73796,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_73771,c_54901]) ).
tcf(c_73801,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_73765,c_54901]) ).
tcf(c_74151,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_57648]) ).
tcf(c_74152,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_57648]) ).
tcf(c_74153,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_57648]) ).
tcf(c_74154,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_57648]) ).
tcf(c_74155,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_57648]) ).
tcf(c_74156,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_57648]) ).
tcf(c_74158,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_57648]) ).
tcf(c_74159,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_57648]) ).
tcf(c_74160,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_57648]) ).
tcf(c_74161,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_57648]) ).
tcf(c_74162,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_57648]) ).
tcf(c_74163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_57648]) ).
tcf(c_74164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_57648]) ).
tcf(c_74165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_57648]) ).
tcf(c_74166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_57648]) ).
tcf(c_74167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_57648]) ).
tcf(c_74168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_57648]) ).
tcf(c_74169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_57648]) ).
tcf(c_74170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_57648]) ).
tcf(c_74171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_57648]) ).
tcf(c_74172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_57648]) ).
tcf(c_74173,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_57648]) ).
tcf(c_74174,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_57648]) ).
tcf(c_74175,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_57648]) ).
tcf(c_74176,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_57648]) ).
tcf(c_74177,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_57648]) ).
tcf(c_74178,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_57648]) ).
tcf(c_74179,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_57648]) ).
tcf(c_74180,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_57648]) ).
tcf(c_74181,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_57648]) ).
tcf(c_74182,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_57648]) ).
tcf(c_74183,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_57648]) ).
tcf(c_74184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_57648]) ).
tcf(c_74185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_57648]) ).
tcf(c_74186,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_57648]) ).
tcf(c_74189,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_57648]) ).
tcf(c_74190,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_57648]) ).
tcf(c_74191,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_57648]) ).
tcf(c_74192,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_57648]) ).
tcf(c_74194,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_57648]) ).
tcf(c_74195,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_57648]) ).
tcf(c_74196,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_57648]) ).
tcf(c_74197,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_57648]) ).
tcf(c_74198,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_57648]) ).
tcf(c_74199,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_57648]) ).
tcf(c_74200,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_57648]) ).
tcf(c_74201,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_57648]) ).
tcf(c_74202,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_57648]) ).
tcf(c_74203,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_57648]) ).
tcf(c_74204,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_57648]) ).
tcf(c_74205,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_57648]) ).
tcf(c_74206,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_57648]) ).
tcf(c_74207,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_57648]) ).
tcf(c_74208,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_57648]) ).
tcf(c_74209,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_57648]) ).
tcf(c_74210,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_57648]) ).
tcf(c_74212,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_57648]) ).
tcf(c_74213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_57648]) ).
tcf(c_74214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_57648]) ).
tcf(c_74215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_57648]) ).
tcf(c_74216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_57648]) ).
tcf(c_74217,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_57648]) ).
tcf(c_74218,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_57648]) ).
tcf(c_74219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_57648]) ).
tcf(c_74220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_57648]) ).
tcf(c_74221,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_57648]) ).
tcf(c_74222,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_57648]) ).
tcf(c_74224,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_57648]) ).
tcf(c_74225,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_57648]) ).
tcf(c_74226,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_57648]) ).
tcf(c_74227,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_57648]) ).
tcf(c_74228,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_57648]) ).
tcf(c_74229,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_57648]) ).
tcf(c_74230,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_57648]) ).
tcf(c_74231,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_57648]) ).
tcf(c_74232,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_57648]) ).
tcf(c_74233,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_57648]) ).
tcf(c_74234,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_57648]) ).
tcf(c_74597,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_60131]) ).
tcf(c_74598,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_54017]) ).
tcf(c_74599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_39808]) ).
tcf(c_74600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_58922,c_5022]) ).
tcf(c_74601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_37758]) ).
tcf(c_74602,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_35735]) ).
tcf(c_74603,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_35874]) ).
tcf(c_74604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_58922,c_4827]) ).
tcf(c_74605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_4114]) ).
tcf(c_74606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_3710]) ).
tcf(c_74607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_3604]) ).
tcf(c_74608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_2541]) ).
tcf(c_74609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_1067]) ).
tcf(c_74610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_1036]) ).
tcf(c_74611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_2397]) ).
tcf(c_74612,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_58922,c_993]) ).
tcf(c_74613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_5025]) ).
tcf(c_74614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_4830]) ).
tcf(c_74615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1245]) ).
tcf(c_74616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1011]) ).
tcf(c_74617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_994]) ).
tcf(c_74618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_5028]) ).
tcf(c_74619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_4833]) ).
tcf(c_74620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1267]) ).
tcf(c_74621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1023]) ).
tcf(c_74622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_995]) ).
tcf(c_74623,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),sK2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1180]) ).
tcf(c_74625,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_24240]) ).
tcf(c_74626,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),sK1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_58922,c_1205]) ).
tcf(c_74627,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),sK1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) )
| ( 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_58922,c_1149]) ).
tcf(c_74629,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_58922,c_1593]) ).
tcf(c_74630,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_58922,c_5258]) ).
tcf(c_74631,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_58922,c_4255]) ).
tcf(c_74908,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK4(sK2,sK3),sK8(X0,X1,sK4(sK2,sK3)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_54021]) ).
tcf(c_74909,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK4(sK2,sK3),sK8(X0,X1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54021]) ).
tcf(c_74910,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK4(sK2,sK3),sK8(X0,X1,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_54021]) ).
tcf(c_74924,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60133]) ).
tcf(c_74925,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60133]) ).
tcf(c_74926,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60133]) ).
tcf(c_74940,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60136]) ).
tcf(c_74941,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60136]) ).
tcf(c_74942,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60136]) ).
tcf(c_74956,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_60405]) ).
tcf(c_74957,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_60405]) ).
tcf(c_74958,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_60405]) ).
tcf(c_74972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_46570,c_54577]) ).
tcf(c_74973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_54577]) ).
tcf(c_74974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK4(sK2,sK3),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_1118,c_54577]) ).
tcf(c_74988,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_54744,c_55]) ).
tcf(c_74989,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_65]) ).
tcf(c_74990,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_64]) ).
tcf(c_74991,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_63]) ).
tcf(c_74992,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3))),sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_69]) ).
tcf(c_74993,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_68]) ).
tcf(c_74994,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,X2),sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_54744,c_67]) ).
tcf(c_75029,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_57627]) ).
tcf(c_75030,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_56354]) ).
tcf(c_75031,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_55778]) ).
tcf(c_75032,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_55225]) ).
tcf(c_75033,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_51988]) ).
tcf(c_75034,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_48374]) ).
tcf(c_75035,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_61620]) ).
tcf(c_75036,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_59365]) ).
tcf(c_75037,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_58365]) ).
tcf(c_75038,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_58326]) ).
tcf(c_75039,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_51949]) ).
tcf(c_75040,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_47814]) ).
tcf(c_75041,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_48335]) ).
tcf(c_75042,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_47775]) ).
tcf(c_75043,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_46610]) ).
tcf(c_75044,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_46571]) ).
tcf(c_75045,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_22437]) ).
tcf(c_75046,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_19101]) ).
tcf(c_75047,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_19098]) ).
tcf(c_75048,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_17745]) ).
tcf(c_75049,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_16312]) ).
tcf(c_75050,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_16009]) ).
tcf(c_75051,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_19099]) ).
tcf(c_75052,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_19102]) ).
tcf(c_75053,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_14187]) ).
tcf(c_75054,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_5588]) ).
tcf(c_75055,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_1826]) ).
tcf(c_75056,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_1179]) ).
tcf(c_75057,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_1119]) ).
tcf(c_75058,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_46048]) ).
tcf(c_75059,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_6689]) ).
tcf(c_75060,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_5259]) ).
tcf(c_75061,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_6690]) ).
tcf(c_75062,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_4256]) ).
tcf(c_75063,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_5260]) ).
tcf(c_75064,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_4257]) ).
tcf(c_75065,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_1678]) ).
tcf(c_75066,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_1594]) ).
tcf(c_75067,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_1679]) ).
tcf(c_75068,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54744,c_1595]) ).
tcf(c_75070,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,image3(X0,X1,sK3))
| ~ member(sK8(sK0,image3(X0,X1,sK3),sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_40260]) ).
tcf(c_75071,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK3))
| ~ member(sK8(sK0,inverse_image3(X0,X1,sK3),sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54744,c_40364]) ).
tcf(c_75540,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60211]) ).
tcf(c_75541,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60211]) ).
tcf(c_75542,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,sK3))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60211]) ).
tcf(c_75556,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))) ) ),
inference(superposition,[status(thm)],[c_24237,c_60214]) ).
tcf(c_75557,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_60214]) ).
tcf(c_75558,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,sK3))) ) ),
inference(superposition,[status(thm)],[c_1147,c_60214]) ).
tcf(c_75574,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_59404]) ).
tcf(c_75575,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_59404]) ).
tcf(c_75576,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_59404]) ).
tcf(c_75577,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_59404]) ).
tcf(c_75578,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_59404]) ).
tcf(c_75579,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_59404]) ).
tcf(c_75581,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_59404]) ).
tcf(c_75582,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_59404]) ).
tcf(c_75583,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_59404]) ).
tcf(c_75584,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_59404]) ).
tcf(c_75585,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_59404]) ).
tcf(c_75586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_59404]) ).
tcf(c_75587,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_59404]) ).
tcf(c_75588,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_59404]) ).
tcf(c_75589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_59404]) ).
tcf(c_75590,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_59404]) ).
tcf(c_75591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_59404]) ).
tcf(c_75592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_59404]) ).
tcf(c_75593,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_59404]) ).
tcf(c_75594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_59404]) ).
tcf(c_75595,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_59404]) ).
tcf(c_75596,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_59404]) ).
tcf(c_75597,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_59404]) ).
tcf(c_75599,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_59404]) ).
tcf(c_75600,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_59404]) ).
tcf(c_75601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_59404]) ).
tcf(c_75602,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_59404]) ).
tcf(c_75603,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_59404]) ).
tcf(c_75604,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_59404]) ).
tcf(c_75605,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_59404]) ).
tcf(c_75606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_59404]) ).
tcf(c_75607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_59404]) ).
tcf(c_75609,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_59404]) ).
tcf(c_75611,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_59404]) ).
tcf(c_75613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_59404]) ).
tcf(c_75614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_59404]) ).
tcf(c_75615,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_59404]) ).
tcf(c_75616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_59404]) ).
tcf(c_75617,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_59404]) ).
tcf(c_75618,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_59404]) ).
tcf(c_75619,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_59404]) ).
tcf(c_75620,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_59404]) ).
tcf(c_75621,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_59404]) ).
tcf(c_75622,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_59404]) ).
tcf(c_75623,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_59404]) ).
tcf(c_75624,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_59404]) ).
tcf(c_75625,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_59404]) ).
tcf(c_75626,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_59404]) ).
tcf(c_75627,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_59404]) ).
tcf(c_75628,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_59404]) ).
tcf(c_75629,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_59404]) ).
tcf(c_75630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_59404]) ).
tcf(c_75631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_59404]) ).
tcf(c_75632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_59404]) ).
tcf(c_75633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_59404]) ).
tcf(c_75634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_59404]) ).
tcf(c_75635,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_59404]) ).
tcf(c_75636,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_59404]) ).
tcf(c_75637,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_59404]) ).
tcf(c_75639,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_59404]) ).
tcf(c_75640,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_59404]) ).
tcf(c_75641,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_59404]) ).
tcf(c_75642,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_59404]) ).
tcf(c_75643,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_59404]) ).
tcf(c_75644,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_59404]) ).
tcf(c_75645,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_59404]) ).
tcf(c_75646,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_59404]) ).
tcf(c_75668,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_75643,c_54901]) ).
tcf(c_75673,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_75636,c_54901]) ).
tcf(c_76016,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_61641]) ).
tcf(c_76017,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_61641]) ).
tcf(c_76018,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_61641]) ).
tcf(c_76019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_61641]) ).
tcf(c_76020,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_61641]) ).
tcf(c_76021,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_61641]) ).
tcf(c_76023,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_61641]) ).
tcf(c_76024,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_61641]) ).
tcf(c_76025,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_61641]) ).
tcf(c_76026,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_61641]) ).
tcf(c_76027,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_61641]) ).
tcf(c_76028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_61641]) ).
tcf(c_76029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_61641]) ).
tcf(c_76030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_61641]) ).
tcf(c_76031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_61641]) ).
tcf(c_76032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_61641]) ).
tcf(c_76033,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,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_61641]) ).
tcf(c_76034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_61641]) ).
tcf(c_76035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_61641]) ).
tcf(c_76036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_61641]) ).
tcf(c_76037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_61641]) ).
tcf(c_76038,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_61641]) ).
tcf(c_76039,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_61641]) ).
tcf(c_76040,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_61641]) ).
tcf(c_76041,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_61641]) ).
tcf(c_76042,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_61641]) ).
tcf(c_76043,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_61641]) ).
tcf(c_76044,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_61641]) ).
tcf(c_76045,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_61641]) ).
tcf(c_76046,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_61641]) ).
tcf(c_76047,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_61641]) ).
tcf(c_76048,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_61641]) ).
tcf(c_76049,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(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_61641]) ).
tcf(c_76050,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,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_61641]) ).
tcf(c_76051,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_61641]) ).
tcf(c_76054,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_61641]) ).
tcf(c_76055,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_61641]) ).
tcf(c_76056,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_61641]) ).
tcf(c_76057,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_61641]) ).
tcf(c_76059,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_61641]) ).
tcf(c_76060,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_61641]) ).
tcf(c_76061,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_61641]) ).
tcf(c_76062,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_61641]) ).
tcf(c_76063,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_61641]) ).
tcf(c_76064,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_61641]) ).
tcf(c_76065,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_61641]) ).
tcf(c_76066,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_61641]) ).
tcf(c_76067,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_61641]) ).
tcf(c_76068,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_61641]) ).
tcf(c_76069,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_61641]) ).
tcf(c_76070,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_61641]) ).
tcf(c_76071,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_61641]) ).
tcf(c_76072,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_61641]) ).
tcf(c_76073,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_61641]) ).
tcf(c_76074,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_61641]) ).
tcf(c_76075,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_61641]) ).
tcf(c_76077,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_61641]) ).
tcf(c_76078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_61641]) ).
tcf(c_76079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_61641]) ).
tcf(c_76080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_61641]) ).
tcf(c_76081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_61641]) ).
tcf(c_76082,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_61641]) ).
tcf(c_76083,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_61641]) ).
tcf(c_76084,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_61641]) ).
tcf(c_76085,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_61641]) ).
tcf(c_76086,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_61641]) ).
tcf(c_76087,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_61641]) ).
tcf(c_76089,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_61641]) ).
tcf(c_76090,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_61641]) ).
tcf(c_76091,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_61641]) ).
tcf(c_76092,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_61641]) ).
tcf(c_76093,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_61641]) ).
tcf(c_76094,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_61641]) ).
tcf(c_76095,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_61641]) ).
tcf(c_76097,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_61641]) ).
tcf(c_76098,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_61641]) ).
tcf(c_76099,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_61641]) ).
tcf(c_76100,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_61641]) ).
tcf(c_76606,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_62172]) ).
tcf(c_76607,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_62172]) ).
tcf(c_76608,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_62172]) ).
tcf(c_76609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_62172]) ).
tcf(c_76610,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_62172]) ).
tcf(c_76611,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_62172]) ).
tcf(c_76613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_62172]) ).
tcf(c_76614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_62172]) ).
tcf(c_76615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_62172]) ).
tcf(c_76616,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_62172]) ).
tcf(c_76617,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_62172]) ).
tcf(c_76618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_62172]) ).
tcf(c_76619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_62172]) ).
tcf(c_76620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_62172]) ).
tcf(c_76621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_62172]) ).
tcf(c_76622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_62172]) ).
tcf(c_76623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_62172]) ).
tcf(c_76624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_62172]) ).
tcf(c_76625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_62172]) ).
tcf(c_76626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_62172]) ).
tcf(c_76627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_62172]) ).
tcf(c_76628,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_62172]) ).
tcf(c_76629,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_62172]) ).
tcf(c_76630,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_62172]) ).
tcf(c_76631,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_62172]) ).
tcf(c_76632,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_62172]) ).
tcf(c_76633,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_62172]) ).
tcf(c_76634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_62172]) ).
tcf(c_76635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_62172]) ).
tcf(c_76636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_62172]) ).
tcf(c_76637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_62172]) ).
tcf(c_76638,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_62172]) ).
tcf(c_76639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_62172]) ).
tcf(c_76640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_62172]) ).
tcf(c_76641,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_62172]) ).
tcf(c_76644,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_62172]) ).
tcf(c_76645,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_62172]) ).
tcf(c_76646,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_62172]) ).
tcf(c_76647,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_62172]) ).
tcf(c_76649,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_62172]) ).
tcf(c_76650,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_62172]) ).
tcf(c_76651,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_62172]) ).
tcf(c_76652,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_62172]) ).
tcf(c_76653,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_62172]) ).
tcf(c_76654,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_62172]) ).
tcf(c_76655,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_62172]) ).
tcf(c_76656,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_62172]) ).
tcf(c_76657,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_62172]) ).
tcf(c_76658,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_62172]) ).
tcf(c_76659,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_62172]) ).
tcf(c_76660,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_62172]) ).
tcf(c_76661,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_62172]) ).
tcf(c_76662,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_62172]) ).
tcf(c_76663,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_62172]) ).
tcf(c_76664,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_62172]) ).
tcf(c_76665,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_62172]) ).
tcf(c_76667,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_62172]) ).
tcf(c_76668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_62172]) ).
tcf(c_76669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_62172]) ).
tcf(c_76670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_62172]) ).
tcf(c_76671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_62172]) ).
tcf(c_76672,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_62172]) ).
tcf(c_76673,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_62172]) ).
tcf(c_76674,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_62172]) ).
tcf(c_76675,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_62172]) ).
tcf(c_76676,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_62172]) ).
tcf(c_76677,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_62172]) ).
tcf(c_76679,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_62172]) ).
tcf(c_76680,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_62172]) ).
tcf(c_76681,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_62172]) ).
tcf(c_76682,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_62172]) ).
tcf(c_76683,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_62172]) ).
tcf(c_76684,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_62172]) ).
tcf(c_76685,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_62172]) ).
tcf(c_76687,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_62172]) ).
tcf(c_76688,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_62172]) ).
tcf(c_76689,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_62172]) ).
tcf(c_76690,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_62172]) ).
tcf(c_76740,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_76680,c_54928]) ).
tcf(c_76779,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_76685,c_54928]) ).
tcf(c_77163,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_62571]) ).
tcf(c_77164,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_62571]) ).
tcf(c_77165,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_62571]) ).
tcf(c_77166,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_62571]) ).
tcf(c_77167,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_62571]) ).
tcf(c_77168,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_62571]) ).
tcf(c_77170,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_62571]) ).
tcf(c_77171,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_62571]) ).
tcf(c_77172,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_62571]) ).
tcf(c_77173,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_62571]) ).
tcf(c_77174,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_62571]) ).
tcf(c_77175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_62571]) ).
tcf(c_77176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_62571]) ).
tcf(c_77177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_62571]) ).
tcf(c_77178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_62571]) ).
tcf(c_77179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_62571]) ).
tcf(c_77180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_62571]) ).
tcf(c_77181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_62571]) ).
tcf(c_77182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_62571]) ).
tcf(c_77183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_62571]) ).
tcf(c_77184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_62571]) ).
tcf(c_77185,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_62571]) ).
tcf(c_77186,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_62571]) ).
tcf(c_77187,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_62571]) ).
tcf(c_77188,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_62571]) ).
tcf(c_77189,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_62571]) ).
tcf(c_77190,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_62571]) ).
tcf(c_77191,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_62571]) ).
tcf(c_77192,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_62571]) ).
tcf(c_77193,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_62571]) ).
tcf(c_77194,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_62571]) ).
tcf(c_77195,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_62571]) ).
tcf(c_77196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_62571]) ).
tcf(c_77197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_62571]) ).
tcf(c_77198,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_62571]) ).
tcf(c_77201,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_62571]) ).
tcf(c_77202,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_62571]) ).
tcf(c_77203,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_62571]) ).
tcf(c_77204,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_62571]) ).
tcf(c_77206,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_62571]) ).
tcf(c_77207,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_62571]) ).
tcf(c_77208,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_62571]) ).
tcf(c_77209,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_62571]) ).
tcf(c_77210,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_62571]) ).
tcf(c_77211,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_62571]) ).
tcf(c_77212,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_62571]) ).
tcf(c_77213,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_62571]) ).
tcf(c_77214,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_62571]) ).
tcf(c_77215,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_62571]) ).
tcf(c_77216,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_62571]) ).
tcf(c_77217,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_62571]) ).
tcf(c_77218,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_62571]) ).
tcf(c_77219,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_62571]) ).
tcf(c_77220,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_62571]) ).
tcf(c_77221,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_62571]) ).
tcf(c_77222,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_62571]) ).
tcf(c_77224,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_62571]) ).
tcf(c_77225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_62571]) ).
tcf(c_77226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_62571]) ).
tcf(c_77227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_62571]) ).
tcf(c_77228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_62571]) ).
tcf(c_77229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_62571]) ).
tcf(c_77230,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_62571]) ).
tcf(c_77231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_62571]) ).
tcf(c_77232,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_62571]) ).
tcf(c_77233,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_62571]) ).
tcf(c_77234,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_62571]) ).
tcf(c_77236,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_62571]) ).
tcf(c_77237,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_62571]) ).
tcf(c_77238,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_62571]) ).
tcf(c_77239,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_62571]) ).
tcf(c_77240,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_62571]) ).
tcf(c_77241,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_62571]) ).
tcf(c_77242,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_62571]) ).
tcf(c_77244,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_62571]) ).
tcf(c_77245,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_62571]) ).
tcf(c_77246,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_62571]) ).
tcf(c_77247,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_62571]) ).
tcf(c_77890,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_63099]) ).
tcf(c_77891,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_63099]) ).
tcf(c_77892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_63099]) ).
tcf(c_77893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_63099]) ).
tcf(c_77894,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_63099]) ).
tcf(c_77895,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_63099]) ).
tcf(c_77897,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_63099]) ).
tcf(c_77898,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_63099]) ).
tcf(c_77899,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_63099]) ).
tcf(c_77900,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_63099]) ).
tcf(c_77901,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_63099]) ).
tcf(c_77902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_63099]) ).
tcf(c_77903,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_63099]) ).
tcf(c_77904,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_63099]) ).
tcf(c_77905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_63099]) ).
tcf(c_77906,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_63099]) ).
tcf(c_77907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_63099]) ).
tcf(c_77908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_63099]) ).
tcf(c_77909,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_63099]) ).
tcf(c_77910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_63099]) ).
tcf(c_77911,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_63099]) ).
tcf(c_77912,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_63099]) ).
tcf(c_77913,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_63099]) ).
tcf(c_77915,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_63099]) ).
tcf(c_77916,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_63099]) ).
tcf(c_77917,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_63099]) ).
tcf(c_77918,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_63099]) ).
tcf(c_77919,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_63099]) ).
tcf(c_77920,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_63099]) ).
tcf(c_77921,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_63099]) ).
tcf(c_77922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_63099]) ).
tcf(c_77923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_63099]) ).
tcf(c_77925,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_63099]) ).
tcf(c_77927,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_63099]) ).
tcf(c_77929,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_63099]) ).
tcf(c_77930,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_63099]) ).
tcf(c_77931,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_63099]) ).
tcf(c_77932,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_63099]) ).
tcf(c_77933,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_63099]) ).
tcf(c_77934,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_63099]) ).
tcf(c_77935,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_63099]) ).
tcf(c_77936,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_63099]) ).
tcf(c_77937,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_63099]) ).
tcf(c_77938,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_63099]) ).
tcf(c_77939,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_63099]) ).
tcf(c_77940,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_63099]) ).
tcf(c_77941,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_63099]) ).
tcf(c_77942,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_63099]) ).
tcf(c_77943,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_63099]) ).
tcf(c_77944,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_63099]) ).
tcf(c_77945,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_63099]) ).
tcf(c_77946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_63099]) ).
tcf(c_77947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_63099]) ).
tcf(c_77948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_63099]) ).
tcf(c_77949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_63099]) ).
tcf(c_77950,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_63099]) ).
tcf(c_77951,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_63099]) ).
tcf(c_77952,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_63099]) ).
tcf(c_77953,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_63099]) ).
tcf(c_77955,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_63099]) ).
tcf(c_77956,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_63099]) ).
tcf(c_77957,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_63099]) ).
tcf(c_77958,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_63099]) ).
tcf(c_77959,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_63099]) ).
tcf(c_77960,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_63099]) ).
tcf(c_77961,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_63099]) ).
tcf(c_77962,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_63099]) ).
tcf(c_77984,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_77959,c_54901]) ).
tcf(c_77989,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_77952,c_54901]) ).
tcf(c_78397,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_63120]) ).
tcf(c_78398,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_63120]) ).
tcf(c_78399,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_63120]) ).
tcf(c_78400,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_63120]) ).
tcf(c_78401,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_63120]) ).
tcf(c_78402,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_63120]) ).
tcf(c_78404,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_63120]) ).
tcf(c_78405,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_63120]) ).
tcf(c_78406,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_63120]) ).
tcf(c_78407,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_63120]) ).
tcf(c_78408,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_63120]) ).
tcf(c_78409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_63120]) ).
tcf(c_78410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_63120]) ).
tcf(c_78411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_63120]) ).
tcf(c_78412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_63120]) ).
tcf(c_78413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_63120]) ).
tcf(c_78414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_63120]) ).
tcf(c_78415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_63120]) ).
tcf(c_78416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_63120]) ).
tcf(c_78417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_63120]) ).
tcf(c_78418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_63120]) ).
tcf(c_78419,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_63120]) ).
tcf(c_78420,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_63120]) ).
tcf(c_78421,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_63120]) ).
tcf(c_78422,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_63120]) ).
tcf(c_78423,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_63120]) ).
tcf(c_78424,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_63120]) ).
tcf(c_78425,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_63120]) ).
tcf(c_78426,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_63120]) ).
tcf(c_78427,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_63120]) ).
tcf(c_78428,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_63120]) ).
tcf(c_78429,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_63120]) ).
tcf(c_78430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_63120]) ).
tcf(c_78431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_63120]) ).
tcf(c_78432,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_63120]) ).
tcf(c_78435,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_63120]) ).
tcf(c_78436,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_63120]) ).
tcf(c_78437,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_63120]) ).
tcf(c_78438,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_63120]) ).
tcf(c_78440,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_63120]) ).
tcf(c_78441,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_63120]) ).
tcf(c_78442,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_63120]) ).
tcf(c_78443,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_63120]) ).
tcf(c_78444,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_63120]) ).
tcf(c_78445,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_63120]) ).
tcf(c_78446,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_63120]) ).
tcf(c_78447,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_63120]) ).
tcf(c_78448,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_63120]) ).
tcf(c_78449,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_63120]) ).
tcf(c_78450,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_63120]) ).
tcf(c_78451,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_63120]) ).
tcf(c_78452,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_63120]) ).
tcf(c_78453,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_63120]) ).
tcf(c_78454,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_63120]) ).
tcf(c_78455,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_63120]) ).
tcf(c_78456,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_63120]) ).
tcf(c_78458,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_63120]) ).
tcf(c_78459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_63120]) ).
tcf(c_78460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_63120]) ).
tcf(c_78461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_63120]) ).
tcf(c_78462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_63120]) ).
tcf(c_78463,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_63120]) ).
tcf(c_78464,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_63120]) ).
tcf(c_78465,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_63120]) ).
tcf(c_78466,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_63120]) ).
tcf(c_78467,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_63120]) ).
tcf(c_78468,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_63120]) ).
tcf(c_78470,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_63120]) ).
tcf(c_78471,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_63120]) ).
tcf(c_78472,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_63120]) ).
tcf(c_78473,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_63120]) ).
tcf(c_78474,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_63120]) ).
tcf(c_78475,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_63120]) ).
tcf(c_78476,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_63120]) ).
tcf(c_78478,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_63120]) ).
tcf(c_78479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_63120]) ).
tcf(c_78480,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_63120]) ).
tcf(c_78481,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_63120]) ).
tcf(c_78888,plain,
! [X0: $i,X1: $i] :
( ( sK8(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_5446,c_2041,c_5446]) ).
tcf(c_78901,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK8(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_353,c_78888]) ).
tcf(c_78903,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK5(sK0,sK2,X1)) = sK8(sK0,sK2,sK5(sK0,sK2,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK8(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_8812,c_78888]) ).
tcf(c_78904,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_78888]) ).
tcf(c_78905,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK8(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_78888]) ).
tcf(c_78906,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_78888]) ).
tcf(c_78907,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_78888]) ).
tcf(c_78908,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_78888]) ).
tcf(c_78909,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(sK2,sK3),X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_78888]) ).
tcf(c_78910,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(sK2,sK3),X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_78888]) ).
tcf(c_78920,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK4(sK2,sK3)) = X0 )
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ apply(sK0,sK4(sK2,sK3),X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_78910,c_54901]) ).
tcf(c_78921,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK4(sK2,sK3)) = X0 )
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ apply(sK0,sK4(sK2,sK3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78920,c_50594]) ).
tcf(c_79044,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_78901,c_66651,c_78901]) ).
tcf(c_79053,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK8(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_79044]) ).
tcf(c_79054,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))) )
| ~ member(sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_79044]) ).
tcf(c_79055,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = sK8(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) )
| ~ member(sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_79044]) ).
tcf(c_79056,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_79044]) ).
tcf(c_79057,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_79044]) ).
tcf(c_79058,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) )
| ~ member(sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_79044]) ).
tcf(c_79059,plain,
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_79044]) ).
tcf(c_79060,plain,
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_79044]) ).
tcf(c_79064,plain,
( ( sK5(sK0,sK2,sK4(sK2,sK3)) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1) ),
inference(light_normalisation,[status(thm)],[c_79060,c_54901]) ).
tcf(c_79065,plain,
( ( sK5(sK0,sK2,sK4(sK2,sK3)) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79064,c_50594]) ).
tcf(c_79116,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_60408]) ).
tcf(c_79117,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_60408]) ).
tcf(c_79118,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_60408]) ).
tcf(c_79202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60798,c_55]) ).
tcf(c_79203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(X2,X3,sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3))),sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)))
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_65]) ).
tcf(c_79204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X3,sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3))),X3)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_64]) ).
tcf(c_79205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_63]) ).
tcf(c_79206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3)),sK8(X2,X3,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3))))
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_69]) ).
tcf(c_79207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X2,X3,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3))),X3)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_68]) ).
tcf(c_79208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3)),X4)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60798,c_67]) ).
tcf(c_79209,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_63120]) ).
tcf(c_79210,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_62571]) ).
tcf(c_79211,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_62172]) ).
tcf(c_79212,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_61641]) ).
tcf(c_79213,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_57648]) ).
tcf(c_79214,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_57198]) ).
tcf(c_79215,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_56375]) ).
tcf(c_79216,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_55799]) ).
tcf(c_79217,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_55246]) ).
tcf(c_79218,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_53524]) ).
tcf(c_79219,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_52521]) ).
tcf(c_79220,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_59386]) ).
tcf(c_79221,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_58863]) ).
tcf(c_79222,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_58347]) ).
tcf(c_79223,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_58318]) ).
tcf(c_79224,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_51970]) ).
tcf(c_79225,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_51318]) ).
tcf(c_79226,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_50927]) ).
tcf(c_79227,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_48356]) ).
tcf(c_79228,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_47796]) ).
tcf(c_79229,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_47218]) ).
tcf(c_79230,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_46592]) ).
tcf(c_79231,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_46549]) ).
tcf(c_79232,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_22454]) ).
tcf(c_79233,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_21013]) ).
tcf(c_79234,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_17762]) ).
tcf(c_79235,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_16596]) ).
tcf(c_79236,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_16329]) ).
tcf(c_79237,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_16026]) ).
tcf(c_79238,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_19577]) ).
tcf(c_79239,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_14204]) ).
tcf(c_79240,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_13122]) ).
tcf(c_79241,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_3997]) ).
tcf(c_79242,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_5599]) ).
tcf(c_79243,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_3998]) ).
tcf(c_79244,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_1204]) ).
tcf(c_79245,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_1148]) ).
tcf(c_79246,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_1111]) ).
tcf(c_79247,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_63099]) ).
tcf(c_79248,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_59404]) ).
tcf(c_79249,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_57627]) ).
tcf(c_79250,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_56354]) ).
tcf(c_79251,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_55778]) ).
tcf(c_79252,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_55225]) ).
tcf(c_79253,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_51988]) ).
tcf(c_79254,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_48374]) ).
tcf(c_79255,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_61620]) ).
tcf(c_79256,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_59365]) ).
tcf(c_79257,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_58365]) ).
tcf(c_79258,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_58326]) ).
tcf(c_79259,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_51949]) ).
tcf(c_79260,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_47814]) ).
tcf(c_79261,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_48335]) ).
tcf(c_79262,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_47775]) ).
tcf(c_79263,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_46610]) ).
tcf(c_79264,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_46571]) ).
tcf(c_79265,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_22437]) ).
tcf(c_79266,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_19101]) ).
tcf(c_79267,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_19098]) ).
tcf(c_79268,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_17745]) ).
tcf(c_79269,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_16312]) ).
tcf(c_79270,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_16009]) ).
tcf(c_79271,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_19099]) ).
tcf(c_79272,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_19102]) ).
tcf(c_79273,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_14187]) ).
tcf(c_79274,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_5588]) ).
tcf(c_79275,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_1826]) ).
tcf(c_79276,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_1179]) ).
tcf(c_79277,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_1119]) ).
tcf(c_79278,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60798,c_46048]) ).
tcf(c_79279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK8(sK0,X3,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))))
| ~ subset(sK2,X3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_6689]) ).
tcf(c_79280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,X3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_5259]) ).
tcf(c_79281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_6690]) ).
tcf(c_79282,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_4256]) ).
tcf(c_79283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_5260]) ).
tcf(c_79284,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_4257]) ).
tcf(c_79285,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))))
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_1678]) ).
tcf(c_79286,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_1594]) ).
tcf(c_79287,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK2)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_1679]) ).
tcf(c_79288,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3))),sK1)
| ~ subset(sK1,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60798,c_1595]) ).
tcf(c_79289,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_60798,c_36577]) ).
tcf(c_79290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3)))
| ~ member(sK7(sK0,image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_40260]) ).
tcf(c_79291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3)))
| ~ member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60798,c_40364]) ).
tcf(c_79920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60801,c_55]) ).
tcf(c_79921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(X2,X3,sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3))),sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)))
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_65]) ).
tcf(c_79922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X3,sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3))),X3)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_64]) ).
tcf(c_79923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_63]) ).
tcf(c_79924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3)),sK8(X2,X3,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3))))
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_69]) ).
tcf(c_79925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X2,X3,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3))),X3)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_68]) ).
tcf(c_79926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_60801,c_67]) ).
tcf(c_79927,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_63120]) ).
tcf(c_79928,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_62571]) ).
tcf(c_79929,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_62172]) ).
tcf(c_79930,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_61641]) ).
tcf(c_79931,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_57648]) ).
tcf(c_79932,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_57198]) ).
tcf(c_79933,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_56375]) ).
tcf(c_79934,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_55799]) ).
tcf(c_79935,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_55246]) ).
tcf(c_79936,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_53524]) ).
tcf(c_79937,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_52521]) ).
tcf(c_79938,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_59386]) ).
tcf(c_79939,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_58863]) ).
tcf(c_79940,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_58347]) ).
tcf(c_79941,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_58318]) ).
tcf(c_79942,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_51970]) ).
tcf(c_79943,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_51318]) ).
tcf(c_79944,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_50927]) ).
tcf(c_79945,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_48356]) ).
tcf(c_79946,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_47796]) ).
tcf(c_79947,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_47218]) ).
tcf(c_79948,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_46592]) ).
tcf(c_79949,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_46549]) ).
tcf(c_79950,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_22454]) ).
tcf(c_79951,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_21013]) ).
tcf(c_79952,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_17762]) ).
tcf(c_79953,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_16596]) ).
tcf(c_79954,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_16329]) ).
tcf(c_79955,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_16026]) ).
tcf(c_79956,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_19577]) ).
tcf(c_79957,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_14204]) ).
tcf(c_79958,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_13122]) ).
tcf(c_79959,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_3997]) ).
tcf(c_79960,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_5599]) ).
tcf(c_79961,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_3998]) ).
tcf(c_79962,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_1204]) ).
tcf(c_79963,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_1148]) ).
tcf(c_79964,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) = sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_1111]) ).
tcf(c_79965,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_63099]) ).
tcf(c_79966,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_59404]) ).
tcf(c_79967,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_57627]) ).
tcf(c_79968,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_56354]) ).
tcf(c_79969,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_55778]) ).
tcf(c_79970,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_55225]) ).
tcf(c_79971,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_51988]) ).
tcf(c_79972,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_48374]) ).
tcf(c_79973,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_61620]) ).
tcf(c_79974,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_59365]) ).
tcf(c_79975,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_58365]) ).
tcf(c_79976,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_58326]) ).
tcf(c_79977,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_51949]) ).
tcf(c_79978,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_47814]) ).
tcf(c_79979,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_48335]) ).
tcf(c_79980,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_47775]) ).
tcf(c_79981,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_46610]) ).
tcf(c_79982,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_46571]) ).
tcf(c_79983,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_22437]) ).
tcf(c_79984,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_19101]) ).
tcf(c_79985,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_19098]) ).
tcf(c_79986,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_17745]) ).
tcf(c_79987,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_16312]) ).
tcf(c_79988,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_16009]) ).
tcf(c_79989,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_19099]) ).
tcf(c_79990,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_19102]) ).
tcf(c_79991,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_14187]) ).
tcf(c_79992,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_5588]) ).
tcf(c_79993,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_1826]) ).
tcf(c_79994,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_1179]) ).
tcf(c_79995,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_1119]) ).
tcf(c_79996,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60801,c_46048]) ).
tcf(c_79997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK8(sK0,X3,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))))
| ~ subset(sK2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_6689]) ).
tcf(c_79998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X3,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_5259]) ).
tcf(c_79999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X3,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),X3)
| ~ subset(sK2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_6690]) ).
tcf(c_80000,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_4256]) ).
tcf(c_80001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_5260]) ).
tcf(c_80002,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_4257]) ).
tcf(c_80003,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))))
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_1678]) ).
tcf(c_80004,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)))
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_1594]) ).
tcf(c_80005,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_1679]) ).
tcf(c_80006,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3))),sK1)
| ~ subset(sK1,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60801,c_1595]) ).
tcf(c_80007,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_60801,c_36577]) ).
tcf(c_80008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3)))
| ~ member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_40260]) ).
tcf(c_80009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)))
| ~ member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60801,c_40364]) ).
tcf(c_80688,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_55]) ).
tcf(c_80689,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_65]) ).
tcf(c_80690,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_64]) ).
tcf(c_80691,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),X2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_63]) ).
tcf(c_80692,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK8(sK0,sK2,sK4(sK2,sK3)),sK8(X0,X1,sK8(sK0,sK2,sK4(sK2,sK3))))
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_69]) ).
tcf(c_80693,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK8(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_68]) ).
tcf(c_80694,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),X2)
| ~ member(sK4(sK2,sK3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_61404,c_67]) ).
tcf(c_80695,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_63120]) ).
tcf(c_80696,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_62571]) ).
tcf(c_80697,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_62172]) ).
tcf(c_80698,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_61641]) ).
tcf(c_80699,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_57648]) ).
tcf(c_80700,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_57198]) ).
tcf(c_80701,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_56375]) ).
tcf(c_80702,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_55799]) ).
tcf(c_80703,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_55246]) ).
tcf(c_80704,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_53524]) ).
tcf(c_80705,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_52521]) ).
tcf(c_80706,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_59386]) ).
tcf(c_80707,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_58863]) ).
tcf(c_80708,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_58347]) ).
tcf(c_80709,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_58318]) ).
tcf(c_80710,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_51970]) ).
tcf(c_80711,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_51318]) ).
tcf(c_80712,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_50927]) ).
tcf(c_80713,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_48356]) ).
tcf(c_80714,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_47796]) ).
tcf(c_80715,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_47218]) ).
tcf(c_80716,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_46592]) ).
tcf(c_80717,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_46549]) ).
tcf(c_80718,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_22454]) ).
tcf(c_80719,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_21013]) ).
tcf(c_80720,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_17762]) ).
tcf(c_80721,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_16596]) ).
tcf(c_80722,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_16329]) ).
tcf(c_80723,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_16026]) ).
tcf(c_80724,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_19577]) ).
tcf(c_80725,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_14204]) ).
tcf(c_80726,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_13122]) ).
tcf(c_80727,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_3997]) ).
tcf(c_80728,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_5599]) ).
tcf(c_80729,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_3998]) ).
tcf(c_80730,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1204]) ).
tcf(c_80731,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1148]) ).
tcf(c_80732,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1111]) ).
tcf(c_80733,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_63099]) ).
tcf(c_80734,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_59404]) ).
tcf(c_80735,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_57627]) ).
tcf(c_80736,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_56354]) ).
tcf(c_80737,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_55778]) ).
tcf(c_80738,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_55225]) ).
tcf(c_80739,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_51988]) ).
tcf(c_80740,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_48374]) ).
tcf(c_80741,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_61620]) ).
tcf(c_80742,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_59365]) ).
tcf(c_80743,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_58365]) ).
tcf(c_80744,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_58326]) ).
tcf(c_80745,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_51949]) ).
tcf(c_80746,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_47814]) ).
tcf(c_80747,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_48335]) ).
tcf(c_80748,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_47775]) ).
tcf(c_80749,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_46610]) ).
tcf(c_80750,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_46571]) ).
tcf(c_80751,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_22437]) ).
tcf(c_80752,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_19101]) ).
tcf(c_80753,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_19098]) ).
tcf(c_80754,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_17745]) ).
tcf(c_80755,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_16312]) ).
tcf(c_80756,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_16009]) ).
tcf(c_80757,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_19099]) ).
tcf(c_80758,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_19102]) ).
tcf(c_80759,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_14187]) ).
tcf(c_80760,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_5588]) ).
tcf(c_80761,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1826]) ).
tcf(c_80762,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1179]) ).
tcf(c_80763,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1119]) ).
tcf(c_80764,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_46048]) ).
tcf(c_80765,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,X1,sK8(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_6689]) ).
tcf(c_80766,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_5259]) ).
tcf(c_80767,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK8(sK0,sK2,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_6690]) ).
tcf(c_80768,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_4256]) ).
tcf(c_80769,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK4(sK2,sK3))),X0)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_5260]) ).
tcf(c_80770,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_4257]) ).
tcf(c_80771,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK4(sK2,sK3)),sK8(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1678]) ).
tcf(c_80772,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))),sK8(sK0,sK2,sK4(sK2,sK3)))
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_1594]) ).
tcf(c_80773,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_1679]) ).
tcf(c_80774,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))),sK1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_61404,c_1595]) ).
tcf(c_81189,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_65130,c_55]) ).
tcf(c_81190,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_63099]) ).
tcf(c_81191,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_59404]) ).
tcf(c_81192,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_57627]) ).
tcf(c_81193,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_56354]) ).
tcf(c_81194,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_55778]) ).
tcf(c_81195,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_55225]) ).
tcf(c_81196,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_51988]) ).
tcf(c_81197,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_48374]) ).
tcf(c_81198,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_61620]) ).
tcf(c_81199,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_59365]) ).
tcf(c_81200,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_58365]) ).
tcf(c_81201,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_58326]) ).
tcf(c_81202,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_51949]) ).
tcf(c_81203,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_47814]) ).
tcf(c_81204,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_48335]) ).
tcf(c_81205,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_47775]) ).
tcf(c_81206,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_46610]) ).
tcf(c_81207,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_46571]) ).
tcf(c_81208,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_22437]) ).
tcf(c_81209,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_19101]) ).
tcf(c_81210,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_19098]) ).
tcf(c_81211,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_17745]) ).
tcf(c_81212,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_16312]) ).
tcf(c_81213,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_16009]) ).
tcf(c_81214,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_19099]) ).
tcf(c_81215,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_19102]) ).
tcf(c_81216,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_14187]) ).
tcf(c_81217,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_5588]) ).
tcf(c_81218,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_1826]) ).
tcf(c_81219,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_1179]) ).
tcf(c_81220,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_1119]) ).
tcf(c_81221,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_46048]) ).
tcf(c_81222,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_65130,c_6689]) ).
tcf(c_81223,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_5259]) ).
tcf(c_81224,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_65130,c_6690]) ).
tcf(c_81225,plain,
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_4256]) ).
tcf(c_81226,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_5260]) ).
tcf(c_81227,plain,
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_4257]) ).
tcf(c_81228,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_65130,c_1678]) ).
tcf(c_81229,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_1594]) ).
tcf(c_81230,plain,
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_65130,c_1679]) ).
tcf(c_81231,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_65130,c_1595]) ).
tcf(c_81687,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_81221,c_55]) ).
tcf(c_81688,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_63120]) ).
tcf(c_81689,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_62571]) ).
tcf(c_81690,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_62172]) ).
tcf(c_81691,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_61641]) ).
tcf(c_81692,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_57648]) ).
tcf(c_81693,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_57198]) ).
tcf(c_81694,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_56375]) ).
tcf(c_81695,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_55799]) ).
tcf(c_81696,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_55246]) ).
tcf(c_81697,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_53524]) ).
tcf(c_81698,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_52521]) ).
tcf(c_81699,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_59386]) ).
tcf(c_81700,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_58863]) ).
tcf(c_81701,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_58347]) ).
tcf(c_81702,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_58318]) ).
tcf(c_81703,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_51970]) ).
tcf(c_81704,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_51318]) ).
tcf(c_81705,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_50927]) ).
tcf(c_81706,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_48356]) ).
tcf(c_81707,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_47796]) ).
tcf(c_81708,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_47218]) ).
tcf(c_81709,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_46592]) ).
tcf(c_81710,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_46549]) ).
tcf(c_81711,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_22454]) ).
tcf(c_81712,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_21013]) ).
tcf(c_81713,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_17762]) ).
tcf(c_81714,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_16596]) ).
tcf(c_81715,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_16329]) ).
tcf(c_81716,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_16026]) ).
tcf(c_81717,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_19577]) ).
tcf(c_81718,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_14204]) ).
tcf(c_81719,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_13122]) ).
tcf(c_81720,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_3997]) ).
tcf(c_81721,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_5599]) ).
tcf(c_81722,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_3998]) ).
tcf(c_81723,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_1204]) ).
tcf(c_81724,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_1148]) ).
tcf(c_81725,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_1111]) ).
tcf(c_82135,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),sK2)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_46063]) ).
tcf(c_82136,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_46063]) ).
tcf(c_82137,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_46063]) ).
tcf(c_82138,plain,
! [X0: $i,X1: $i] :
( subset(sK2,X1)
| member(sK4(sK2,X1),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_46063]) ).
tcf(c_82139,plain,
! [X0: $i,X1: $i] :
( subset(sK2,X1)
| member(sK4(sK2,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_46063]) ).
tcf(c_82140,plain,
! [X0: $i,X1: $i] :
( subset(sK2,X1)
| member(sK4(sK2,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_46063]) ).
tcf(c_82141,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_46063]) ).
tcf(c_82142,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_46063]) ).
tcf(c_82143,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_46063]) ).
tcf(c_82144,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_46063]) ).
tcf(c_82145,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_46063]) ).
tcf(c_82147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK2),X3)
| member(sK4(image3(X1,X2,sK2),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,sK2),X0))) = sK4(image3(X1,X2,sK2),X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1385,c_46063]) ).
tcf(c_82148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK2),X3)
| member(sK4(image3(X1,X2,sK2),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,sK2),X0))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1384,c_46063]) ).
tcf(c_82149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK1),X3)
| member(sK4(image3(X1,X2,sK1),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK1),X0)))) = sK5(sK0,sK2,sK4(image3(X1,X2,sK1),X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1387,c_46063]) ).
tcf(c_82150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK1),X3)
| member(sK4(image3(X1,X2,sK1),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK1),X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK1),X0)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1386,c_46063]) ).
tcf(c_82152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK2),X3)
| member(sK4(inverse_image3(X1,X2,sK2),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,sK2),X0))) = sK4(inverse_image3(X1,X2,sK2),X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1473,c_46063]) ).
tcf(c_82153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK2),X3)
| member(sK4(inverse_image3(X1,X2,sK2),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,sK2),X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,sK2),X0))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1472,c_46063]) ).
tcf(c_82160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_58922,c_46063]) ).
tcf(c_82161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_47280,c_46063]) ).
tcf(c_82162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_35906,c_46063]) ).
tcf(c_82163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)) = sK8(sK0,sK2,sK4(image3(X1,X2,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_35917,c_46063]) ).
tcf(c_82408,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_16617]) ).
tcf(c_82409,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_16617]) ).
tcf(c_82410,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_16617]) ).
tcf(c_82434,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_21034]) ).
tcf(c_82435,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_21034]) ).
tcf(c_82436,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_21034]) ).
tcf(c_82452,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_44505,c_362,c_1948,c_4544]) ).
tcf(c_82459,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_54,c_82452]) ).
tcf(c_82460,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_82452]) ).
tcf(c_82461,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(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_954,c_82452]) ).
tcf(c_82462,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(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_962,c_82452]) ).
tcf(c_82463,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_82452]) ).
tcf(c_82464,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_82452]) ).
tcf(c_82465,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_82452]) ).
tcf(c_82466,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_82452]) ).
tcf(c_82467,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) = sK5(sK0,sK2,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_82452]) ).
tcf(c_82468,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(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_974,c_82452]) ).
tcf(c_82469,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1010,c_82452]) ).
tcf(c_82470,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1022,c_82452]) ).
tcf(c_82471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(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_1377,c_82452]) ).
tcf(c_82472,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,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1379,c_82452]) ).
tcf(c_82473,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,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_1380,c_82452]) ).
tcf(c_82474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1382,c_82452]) ).
tcf(c_82475,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,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_1383,c_82452]) ).
tcf(c_82476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(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_1465,c_82452]) ).
tcf(c_82477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1467,c_82452]) ).
tcf(c_82478,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,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_1468,c_82452]) ).
tcf(c_82479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1470,c_82452]) ).
tcf(c_82480,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,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_1471,c_82452]) ).
tcf(c_82481,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_82452]) ).
tcf(c_82482,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_82452]) ).
tcf(c_82483,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_82452]) ).
tcf(c_82484,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_82452]) ).
tcf(c_82485,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_82452]) ).
tcf(c_82486,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3828,c_82452]) ).
tcf(c_82487,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2543,c_82452]) ).
tcf(c_82488,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X2)))) = sK5(sK0,sK2,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) ) ),
inference(superposition,[status(thm)],[c_2542,c_82452]) ).
tcf(c_82489,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) = sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))) ) ),
inference(superposition,[status(thm)],[c_3852,c_82452]) ).
tcf(c_82490,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_15043,c_82452]) ).
tcf(c_82491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_82452]) ).
tcf(c_82492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_82452]) ).
tcf(c_82494,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_82452]) ).
tcf(c_82495,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_82452]) ).
tcf(c_82496,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_82452]) ).
tcf(c_82498,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_82452]) ).
tcf(c_82499,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_82452]) ).
tcf(c_82500,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_82452]) ).
tcf(c_82501,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_82452]) ).
tcf(c_82502,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_82452]) ).
tcf(c_82503,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_82452]) ).
tcf(c_82504,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_82452]) ).
tcf(c_82505,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_82452]) ).
tcf(c_82506,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_82452]) ).
tcf(c_82507,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_82452]) ).
tcf(c_82508,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_82452]) ).
tcf(c_82509,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_82452]) ).
tcf(c_82510,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_82452]) ).
tcf(c_82512,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_82452]) ).
tcf(c_82513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_82452]) ).
tcf(c_82514,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_82452]) ).
tcf(c_82515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23803,c_82452]) ).
tcf(c_82516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23713,c_82452]) ).
tcf(c_82517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_24104,c_82452]) ).
tcf(c_82518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_23897,c_82452]) ).
tcf(c_82519,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(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_35725,c_82452]) ).
tcf(c_82520,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) = sK5(sK0,sK2,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_82452]) ).
tcf(c_82521,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_82452]) ).
tcf(c_82522,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_82452]) ).
tcf(c_82524,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_82452]) ).
tcf(c_82525,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50594,c_82452]) ).
tcf(c_82526,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_82452]) ).
tcf(c_82527,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_82452]) ).
tcf(c_82528,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_82452]) ).
tcf(c_82529,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_50603,c_82452]) ).
tcf(c_82530,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_82452]) ).
tcf(c_82531,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54942,c_82452]) ).
tcf(c_82532,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_82452]) ).
tcf(c_82533,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_82452]) ).
tcf(c_82534,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_82452]) ).
tcf(c_82535,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_82452]) ).
tcf(c_83076,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(superposition,[status(thm)],[c_54,c_82460]) ).
tcf(c_83077,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(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_362,c_82460]) ).
tcf(c_83078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_954,c_82460]) ).
tcf(c_83079,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) ) ),
inference(superposition,[status(thm)],[c_962,c_82460]) ).
tcf(c_83080,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_82460]) ).
tcf(c_83081,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_82460]) ).
tcf(c_83083,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_82460]) ).
tcf(c_83084,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_82460]) ).
tcf(c_83085,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_82460]) ).
tcf(c_83086,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1010,c_82460]) ).
tcf(c_83087,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_1022,c_82460]) ).
tcf(c_83088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_82460]) ).
tcf(c_83089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1379,c_82460]) ).
tcf(c_83090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1380,c_82460]) ).
tcf(c_83091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1382,c_82460]) ).
tcf(c_83092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1383,c_82460]) ).
tcf(c_83093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_82460]) ).
tcf(c_83094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1467,c_82460]) ).
tcf(c_83095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1468,c_82460]) ).
tcf(c_83096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1470,c_82460]) ).
tcf(c_83097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) ) ),
inference(superposition,[status(thm)],[c_1471,c_82460]) ).
tcf(c_83098,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_82460]) ).
tcf(c_83099,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_82460]) ).
tcf(c_83100,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_82460]) ).
tcf(c_83101,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_82460]) ).
tcf(c_83102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_82460]) ).
tcf(c_83104,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3828,c_82460]) ).
tcf(c_83105,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2543,c_82460]) ).
tcf(c_83106,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_2542,c_82460]) ).
tcf(c_83107,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) ) ),
inference(superposition,[status(thm)],[c_3852,c_82460]) ).
tcf(c_83108,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_36595,c_82460]) ).
tcf(c_83109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_82460]) ).
tcf(c_83110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_82460]) ).
tcf(c_83111,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_82460]) ).
tcf(c_83114,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_82460]) ).
tcf(c_83115,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_82460]) ).
tcf(c_83116,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_82460]) ).
tcf(c_83117,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_82460]) ).
tcf(c_83119,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_82460]) ).
tcf(c_83120,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_82460]) ).
tcf(c_83121,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_82460]) ).
tcf(c_83122,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_82460]) ).
tcf(c_83123,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_82460]) ).
tcf(c_83124,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_82460]) ).
tcf(c_83125,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_82460]) ).
tcf(c_83126,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_82460]) ).
tcf(c_83127,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_82460]) ).
tcf(c_83128,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_82460]) ).
tcf(c_83129,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_82460]) ).
tcf(c_83130,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_82460]) ).
tcf(c_83131,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_82460]) ).
tcf(c_83132,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_82460]) ).
tcf(c_83133,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_82460]) ).
tcf(c_83134,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_82460]) ).
tcf(c_83135,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_82460]) ).
tcf(c_83137,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_82460]) ).
tcf(c_83138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23803,c_82460]) ).
tcf(c_83139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23713,c_82460]) ).
tcf(c_83140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_24104,c_82460]) ).
tcf(c_83141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_23897,c_82460]) ).
tcf(c_83142,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36596,c_82460]) ).
tcf(c_83143,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),
inference(superposition,[status(thm)],[c_50560,c_82460]) ).
tcf(c_83144,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_36597,c_82460]) ).
tcf(c_83146,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_82460]) ).
tcf(c_83147,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_82460]) ).
tcf(c_83149,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_82460]) ).
tcf(c_83150,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_54737,c_82460]) ).
tcf(c_83151,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_82460]) ).
tcf(c_83152,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_82460]) ).
tcf(c_83153,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_82460]) ).
tcf(c_83154,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_82460]) ).
tcf(c_83155,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_82460]) ).
tcf(c_83157,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_82460]) ).
tcf(c_83158,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_82460]) ).
tcf(c_83159,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_82460]) ).
tcf(c_83160,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_82460]) ).
tcf(c_83161,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_82460]) ).
tcf(c_83162,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_82460]) ).
tcf(c_83163,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_82460]) ).
tcf(c_83164,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_82460]) ).
tcf(c_83199,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),
inference(light_normalisation,[status(thm)],[c_83150,c_54928]) ).
tcf(c_83223,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2) ),
inference(light_normalisation,[status(thm)],[c_83155,c_54928]) ).
tcf(c_83710,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_46570,c_82485]) ).
tcf(c_83711,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) ) ),
inference(superposition,[status(thm)],[c_1178,c_82485]) ).
tcf(c_83712,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_1118,c_82485]) ).
tcf(c_83730,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_65159,c_55]) ).
tcf(c_83731,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_65]) ).
tcf(c_83732,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_64]) ).
tcf(c_83733,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_63]) ).
tcf(c_83734,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(X0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_69]) ).
tcf(c_83735,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_68]) ).
tcf(c_83736,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_65159,c_67]) ).
tcf(c_83737,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_82460]) ).
tcf(c_83738,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_63120]) ).
tcf(c_83739,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_62571]) ).
tcf(c_83740,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_62172]) ).
tcf(c_83741,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_61641]) ).
tcf(c_83742,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_57648]) ).
tcf(c_83743,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_57198]) ).
tcf(c_83744,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_56375]) ).
tcf(c_83745,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_55799]) ).
tcf(c_83746,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_55246]) ).
tcf(c_83747,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_53524]) ).
tcf(c_83748,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_52521]) ).
tcf(c_83749,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_59386]) ).
tcf(c_83750,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_58863]) ).
tcf(c_83752,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_58318]) ).
tcf(c_83753,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_51970]) ).
tcf(c_83754,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_51318]) ).
tcf(c_83755,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_50927]) ).
tcf(c_83756,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_48356]) ).
tcf(c_83758,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_47218]) ).
tcf(c_83759,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_46592]) ).
tcf(c_83760,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_46549]) ).
tcf(c_83761,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_22454]) ).
tcf(c_83762,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_21013]) ).
tcf(c_83763,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_17762]) ).
tcf(c_83764,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_16596]) ).
tcf(c_83765,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_16329]) ).
tcf(c_83766,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_16026]) ).
tcf(c_83767,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_19577]) ).
tcf(c_83768,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_14204]) ).
tcf(c_83769,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_13122]) ).
tcf(c_83770,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_3997]) ).
tcf(c_83772,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_3998]) ).
tcf(c_83773,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_1204]) ).
tcf(c_83774,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_1148]) ).
tcf(c_83775,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_1111]) ).
tcf(c_83777,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_63099]) ).
tcf(c_83778,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_59404]) ).
tcf(c_83779,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_57627]) ).
tcf(c_83780,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_56354]) ).
tcf(c_83781,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_55778]) ).
tcf(c_83782,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_55225]) ).
tcf(c_83783,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_51988]) ).
tcf(c_83784,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_48374]) ).
tcf(c_83785,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_65159,c_61620]) ).
tcf(c_83786,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_59365]) ).
tcf(c_83787,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_58365]) ).
tcf(c_83789,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_51949]) ).
tcf(c_83790,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_47814]) ).
tcf(c_83792,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_47775]) ).
tcf(c_83793,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_46610]) ).
tcf(c_83795,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_22437]) ).
tcf(c_83796,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_19101]) ).
tcf(c_83797,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_19098]) ).
tcf(c_83798,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_17745]) ).
tcf(c_83799,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_16312]) ).
tcf(c_83800,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_16009]) ).
tcf(c_83801,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_19099]) ).
tcf(c_83802,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_19102]) ).
tcf(c_83803,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_14187]) ).
tcf(c_83804,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_5588]) ).
tcf(c_83808,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_46048]) ).
tcf(c_83809,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_65159,c_6689]) ).
tcf(c_83810,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_5259]) ).
tcf(c_83811,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_65159,c_6690]) ).
tcf(c_83812,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_4256]) ).
tcf(c_83813,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_5260]) ).
tcf(c_83814,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_4257]) ).
tcf(c_83816,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_1594]) ).
tcf(c_83818,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(superposition,[status(thm)],[c_65159,c_1595]) ).
tcf(c_83820,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,image3(X0,X1,sK3))
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_65159,c_40260]) ).
tcf(c_83821,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3))
| ~ member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_65159,c_40364]) ).
tcf(c_83836,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83821,c_54942]) ).
tcf(c_83839,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83820,c_54942]) ).
tcf(c_83861,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83811,c_54942]) ).
tcf(c_83890,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83809,c_54942]) ).
tcf(c_83894,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83804,c_83199]) ).
tcf(c_83896,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83802,c_83199]) ).
tcf(c_83898,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83793,c_83199]) ).
tcf(c_83900,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83792,c_83199]) ).
tcf(c_83913,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83803,c_83199]) ).
tcf(c_83915,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83801,c_83199]) ).
tcf(c_83917,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83790,c_83199]) ).
tcf(c_83919,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83789,c_83199]) ).
tcf(c_83921,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83787,c_83199]) ).
tcf(c_83923,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83786,c_83199]) ).
tcf(c_83957,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83800,c_83199]) ).
tcf(c_83961,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83798,c_83199]) ).
tcf(c_83963,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83797,c_83199]) ).
tcf(c_83964,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83963,c_948]) ).
tcf(c_83967,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83796,c_83199]) ).
tcf(c_83968,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83967,c_948]) ).
tcf(c_83973,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83784,c_83199]) ).
tcf(c_83974,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83973,c_948]) ).
tcf(c_83977,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83783,c_83199]) ).
tcf(c_83978,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83977,c_948]) ).
tcf(c_83981,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83782,c_83199]) ).
tcf(c_83987,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83779,c_83199]) ).
tcf(c_83989,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83778,c_83199]) ).
tcf(c_83990,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83989,c_948]) ).
tcf(c_83993,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_83777,c_83199]) ).
tcf(c_84332,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_60402]) ).
tcf(c_84333,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_60402]) ).
tcf(c_84334,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_60402]) ).
tcf(c_84335,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_60402]) ).
tcf(c_84336,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_60402]) ).
tcf(c_84337,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_60402]) ).
tcf(c_84344,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_60402]) ).
tcf(c_84345,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_60402]) ).
tcf(c_84346,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),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)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_60402]) ).
tcf(c_84347,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_60402]) ).
tcf(c_84349,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_60402]) ).
tcf(c_84350,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_60402]) ).
tcf(c_84351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_60402]) ).
tcf(c_84352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_60402]) ).
tcf(c_84353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_60402]) ).
tcf(c_84354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_60402]) ).
tcf(c_84355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_60402]) ).
tcf(c_84356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_60402]) ).
tcf(c_84357,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_60402]) ).
tcf(c_84358,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK8(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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_60402]) ).
tcf(c_84359,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,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)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_60402]) ).
tcf(c_84360,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_60402]) ).
tcf(c_84361,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_60402]) ).
tcf(c_84387,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84337,c_948]) ).
tcf(c_84390,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84335,c_948]) ).
tcf(c_84405,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84336,c_948]) ).
tcf(c_84466,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_64457]) ).
tcf(c_84467,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_64457]) ).
tcf(c_84468,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_64457]) ).
tcf(c_84487,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_64460]) ).
tcf(c_84488,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_64460]) ).
tcf(c_84489,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_64460]) ).
tcf(c_84508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) = sK4(sK2,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_54572]) ).
tcf(c_84509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_54572]) ).
tcf(c_84510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X2,X3,X0)))) = sK4(sK2,image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_54572]) ).
tcf(c_84526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) = sK4(sK2,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_54573]) ).
tcf(c_84527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_54573]) ).
tcf(c_84528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK4(sK2,sK3),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X2,X3,X0)))) = sK4(sK2,inverse_image3(X2,X3,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_54573]) ).
tcf(c_84545,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_60183]) ).
tcf(c_84546,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_60183]) ).
tcf(c_84547,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_60183]) ).
tcf(c_84564,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_54,c_83077]) ).
tcf(c_84565,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_83077]) ).
tcf(c_84566,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_954,c_83077]) ).
tcf(c_84567,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_962,c_83077]) ).
tcf(c_84568,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_83077]) ).
tcf(c_84569,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_83077]) ).
tcf(c_84570,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_83077]) ).
tcf(c_84571,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_83077]) ).
tcf(c_84572,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_83077]) ).
tcf(c_84573,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_83077]) ).
tcf(c_84574,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_83077]) ).
tcf(c_84575,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_83077]) ).
tcf(c_84576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_83077]) ).
tcf(c_84577,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_83077]) ).
tcf(c_84578,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1380,c_83077]) ).
tcf(c_84579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_83077]) ).
tcf(c_84580,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1383,c_83077]) ).
tcf(c_84581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_83077]) ).
tcf(c_84582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_83077]) ).
tcf(c_84583,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1468,c_83077]) ).
tcf(c_84584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_83077]) ).
tcf(c_84585,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(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)))) ) ),
inference(superposition,[status(thm)],[c_1471,c_83077]) ).
tcf(c_84586,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_83077]) ).
tcf(c_84587,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_83077]) ).
tcf(c_84588,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_83077]) ).
tcf(c_84589,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_83077]) ).
tcf(c_84590,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_83077]) ).
tcf(c_84591,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_83077]) ).
tcf(c_84592,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2543,c_83077]) ).
tcf(c_84593,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_2542,c_83077]) ).
tcf(c_84594,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_83077]) ).
tcf(c_84595,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_83077]) ).
tcf(c_84596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_83077]) ).
tcf(c_84597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_83077]) ).
tcf(c_84599,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_83077]) ).
tcf(c_84600,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_83077]) ).
tcf(c_84601,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_83077]) ).
tcf(c_84603,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_83077]) ).
tcf(c_84604,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_83077]) ).
tcf(c_84605,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_83077]) ).
tcf(c_84606,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_83077]) ).
tcf(c_84607,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_83077]) ).
tcf(c_84608,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_83077]) ).
tcf(c_84609,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_83077]) ).
tcf(c_84610,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_83077]) ).
tcf(c_84611,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_83077]) ).
tcf(c_84612,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_83077]) ).
tcf(c_84613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_83077]) ).
tcf(c_84614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_83077]) ).
tcf(c_84615,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_83077]) ).
tcf(c_84617,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_83077]) ).
tcf(c_84618,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_83077]) ).
tcf(c_84619,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_83077]) ).
tcf(c_84620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23803,c_83077]) ).
tcf(c_84621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23713,c_83077]) ).
tcf(c_84622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_24104,c_83077]) ).
tcf(c_84623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) ) ),
inference(superposition,[status(thm)],[c_23897,c_83077]) ).
tcf(c_84624,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_83077]) ).
tcf(c_84625,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_83077]) ).
tcf(c_84626,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_83077]) ).
tcf(c_84627,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_83077]) ).
tcf(c_84629,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_83077]) ).
tcf(c_84630,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50594,c_83077]) ).
tcf(c_84631,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_83077]) ).
tcf(c_84632,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_83077]) ).
tcf(c_84633,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_83077]) ).
tcf(c_84634,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_50603,c_83077]) ).
tcf(c_84635,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_83077]) ).
tcf(c_84636,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54942,c_83077]) ).
tcf(c_84637,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_83077]) ).
tcf(c_84638,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_83077]) ).
tcf(c_84639,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_83077]) ).
tcf(c_84640,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_83077]) ).
tcf(c_84641,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_65159,c_83077]) ).
tcf(c_85317,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_60402]) ).
tcf(c_85318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_82519,c_46063]) ).
tcf(c_85319,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_60131]) ).
tcf(c_85320,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_54017]) ).
tcf(c_85321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK7(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_82519,c_39808]) ).
tcf(c_85322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_82519,c_5022]) ).
tcf(c_85323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_37758]) ).
tcf(c_85324,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK7(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_82519,c_35735]) ).
tcf(c_85325,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)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_35874]) ).
tcf(c_85326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_82519,c_4827]) ).
tcf(c_85327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_4114]) ).
tcf(c_85328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_3710]) ).
tcf(c_85329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_3604]) ).
tcf(c_85330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK7(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_82519,c_2541]) ).
tcf(c_85331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_1067]) ).
tcf(c_85332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3)) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_1036]) ).
tcf(c_85333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_2397]) ).
tcf(c_85334,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)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)))) = sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_82519,c_993]) ).
tcf(c_85335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_5025]) ).
tcf(c_85336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_4830]) ).
tcf(c_85337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1245]) ).
tcf(c_85338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1011]) ).
tcf(c_85339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_994]) ).
tcf(c_85340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_5028]) ).
tcf(c_85341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_4833]) ).
tcf(c_85342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1267]) ).
tcf(c_85343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1023]) ).
tcf(c_85344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_995]) ).
tcf(c_85345,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1180]) ).
tcf(c_85347,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_24240]) ).
tcf(c_85348,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_82519,c_1205]) ).
tcf(c_85349,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1)) )
| ( 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_82519,c_1149]) ).
tcf(c_85351,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_82519,c_1593]) ).
tcf(c_85352,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_82519,c_5258]) ).
tcf(c_85353,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)))) = sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_82519,c_4255]) ).
tcf(c_85680,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_83098]) ).
tcf(c_85681,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_83098]) ).
tcf(c_85682,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_83098]) ).
tcf(c_85683,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_83098]) ).
tcf(c_85684,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_83098]) ).
tcf(c_85685,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_83098]) ).
tcf(c_85687,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_83098]) ).
tcf(c_85688,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_83098]) ).
tcf(c_85689,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_83098]) ).
tcf(c_85690,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_83098]) ).
tcf(c_85691,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_83098]) ).
tcf(c_85692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_83098]) ).
tcf(c_85693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_83098]) ).
tcf(c_85694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_83098]) ).
tcf(c_85695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_83098]) ).
tcf(c_85696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_83098]) ).
tcf(c_85697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_83098]) ).
tcf(c_85698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_83098]) ).
tcf(c_85699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_83098]) ).
tcf(c_85700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_83098]) ).
tcf(c_85701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_83098]) ).
tcf(c_85702,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_83098]) ).
tcf(c_85703,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_83098]) ).
tcf(c_85704,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_83098]) ).
tcf(c_85705,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_83098]) ).
tcf(c_85706,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_83098]) ).
tcf(c_85707,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_83098]) ).
tcf(c_85708,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_83098]) ).
tcf(c_85709,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_83098]) ).
tcf(c_85710,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_83098]) ).
tcf(c_85711,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_83098]) ).
tcf(c_85712,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_83098]) ).
tcf(c_85713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_83098]) ).
tcf(c_85714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_83098]) ).
tcf(c_85715,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_83098]) ).
tcf(c_85718,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_83098]) ).
tcf(c_85719,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_83098]) ).
tcf(c_85720,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_83098]) ).
tcf(c_85721,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_83098]) ).
tcf(c_85723,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_83098]) ).
tcf(c_85724,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_83098]) ).
tcf(c_85725,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_83098]) ).
tcf(c_85726,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_83098]) ).
tcf(c_85727,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_83098]) ).
tcf(c_85728,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_83098]) ).
tcf(c_85729,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_83098]) ).
tcf(c_85730,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_83098]) ).
tcf(c_85731,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_83098]) ).
tcf(c_85732,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_83098]) ).
tcf(c_85733,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_83098]) ).
tcf(c_85734,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_83098]) ).
tcf(c_85735,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_83098]) ).
tcf(c_85736,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_83098]) ).
tcf(c_85737,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_83098]) ).
tcf(c_85738,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_83098]) ).
tcf(c_85739,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_83098]) ).
tcf(c_85741,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_83098]) ).
tcf(c_85742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_83098]) ).
tcf(c_85743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_83098]) ).
tcf(c_85744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_83098]) ).
tcf(c_85745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_83098]) ).
tcf(c_85746,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_83098]) ).
tcf(c_85747,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_83098]) ).
tcf(c_85748,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_83098]) ).
tcf(c_85749,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_83098]) ).
tcf(c_85750,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_83098]) ).
tcf(c_85751,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_83098]) ).
tcf(c_85753,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_83098]) ).
tcf(c_85754,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_83098]) ).
tcf(c_85755,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_83098]) ).
tcf(c_85756,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_83098]) ).
tcf(c_85757,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_83098]) ).
tcf(c_85758,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_83098]) ).
tcf(c_85759,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_83098]) ).
tcf(c_85761,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_83098]) ).
tcf(c_85762,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_83098]) ).
tcf(c_85763,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_83098]) ).
tcf(c_85764,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_83098]) ).
tcf(c_85765,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_83098]) ).
tcf(c_85766,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_83098]) ).
tcf(c_85767,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_83098]) ).
tcf(c_85768,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_83098]) ).
tcf(c_85769,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_83098]) ).
tcf(c_86380,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) ) ),
inference(superposition,[status(thm)],[c_54,c_84565]) ).
tcf(c_86381,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_84565]) ).
tcf(c_86382,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_954,c_84565]) ).
tcf(c_86383,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) ) ),
inference(superposition,[status(thm)],[c_962,c_84565]) ).
tcf(c_86384,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_84565]) ).
tcf(c_86385,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_84565]) ).
tcf(c_86387,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_84565]) ).
tcf(c_86388,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_84565]) ).
tcf(c_86389,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,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,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_84565]) ).
tcf(c_86390,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_84565]) ).
tcf(c_86391,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_84565]) ).
tcf(c_86392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_84565]) ).
tcf(c_86393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_84565]) ).
tcf(c_86394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_84565]) ).
tcf(c_86395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_84565]) ).
tcf(c_86396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_84565]) ).
tcf(c_86397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_84565]) ).
tcf(c_86398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_84565]) ).
tcf(c_86399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_84565]) ).
tcf(c_86400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_84565]) ).
tcf(c_86401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_84565]) ).
tcf(c_86402,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_84565]) ).
tcf(c_86403,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_84565]) ).
tcf(c_86404,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_84565]) ).
tcf(c_86405,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_84565]) ).
tcf(c_86406,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_84565]) ).
tcf(c_86408,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_84565]) ).
tcf(c_86409,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_84565]) ).
tcf(c_86410,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_84565]) ).
tcf(c_86411,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_84565]) ).
tcf(c_86412,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_36595,c_84565]) ).
tcf(c_86413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_84565]) ).
tcf(c_86414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_84565]) ).
tcf(c_86415,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_84565]) ).
tcf(c_86418,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_84565]) ).
tcf(c_86419,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_84565]) ).
tcf(c_86420,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_84565]) ).
tcf(c_86421,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_84565]) ).
tcf(c_86423,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_84565]) ).
tcf(c_86424,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_84565]) ).
tcf(c_86425,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_84565]) ).
tcf(c_86426,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_84565]) ).
tcf(c_86427,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_84565]) ).
tcf(c_86428,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_84565]) ).
tcf(c_86429,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_84565]) ).
tcf(c_86430,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_84565]) ).
tcf(c_86431,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_84565]) ).
tcf(c_86432,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_84565]) ).
tcf(c_86433,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_84565]) ).
tcf(c_86434,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_84565]) ).
tcf(c_86435,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_84565]) ).
tcf(c_86436,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_84565]) ).
tcf(c_86437,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_84565]) ).
tcf(c_86438,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_84565]) ).
tcf(c_86439,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_84565]) ).
tcf(c_86441,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_84565]) ).
tcf(c_86442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_84565]) ).
tcf(c_86443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_84565]) ).
tcf(c_86444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_84565]) ).
tcf(c_86445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_84565]) ).
tcf(c_86446,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36596,c_84565]) ).
tcf(c_86447,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))),
inference(superposition,[status(thm)],[c_50560,c_84565]) ).
tcf(c_86448,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_36597,c_84565]) ).
tcf(c_86450,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_84565]) ).
tcf(c_86451,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_84565]) ).
tcf(c_86453,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_84565]) ).
tcf(c_86454,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_54737,c_84565]) ).
tcf(c_86455,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_84565]) ).
tcf(c_86456,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_84565]) ).
tcf(c_86457,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_84565]) ).
tcf(c_86458,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_84565]) ).
tcf(c_86459,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_84565]) ).
tcf(c_86461,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_84565]) ).
tcf(c_86462,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_84565]) ).
tcf(c_86463,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_84565]) ).
tcf(c_86464,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_84565]) ).
tcf(c_86465,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_84565]) ).
tcf(c_86466,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_84565]) ).
tcf(c_86467,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_84565]) ).
tcf(c_86468,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_84565]) ).
tcf(c_86469,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_84565]) ).
tcf(c_87027,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_46570,c_84590]) ).
tcf(c_87028,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_84590]) ).
tcf(c_87029,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_1118,c_84590]) ).
tcf(c_87048,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_83116]) ).
tcf(c_87049,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_83116]) ).
tcf(c_87050,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_83116]) ).
tcf(c_87051,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_83116]) ).
tcf(c_87052,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_83116]) ).
tcf(c_87053,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_83116]) ).
tcf(c_87055,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_83116]) ).
tcf(c_87056,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_83116]) ).
tcf(c_87057,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_83116]) ).
tcf(c_87058,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_83116]) ).
tcf(c_87059,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_83116]) ).
tcf(c_87060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_83116]) ).
tcf(c_87061,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,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_83116]) ).
tcf(c_87062,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,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_83116]) ).
tcf(c_87063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_83116]) ).
tcf(c_87064,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,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_83116]) ).
tcf(c_87065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_83116]) ).
tcf(c_87066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_83116]) ).
tcf(c_87067,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,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_83116]) ).
tcf(c_87068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_83116]) ).
tcf(c_87069,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,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_83116]) ).
tcf(c_87070,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_83116]) ).
tcf(c_87071,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_83116]) ).
tcf(c_87073,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_83116]) ).
tcf(c_87074,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_83116]) ).
tcf(c_87075,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_83116]) ).
tcf(c_87076,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_83116]) ).
tcf(c_87077,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_83116]) ).
tcf(c_87078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_83116]) ).
tcf(c_87079,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_83116]) ).
tcf(c_87080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_83116]) ).
tcf(c_87081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_83116]) ).
tcf(c_87083,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_83116]) ).
tcf(c_87085,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_83116]) ).
tcf(c_87087,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_83116]) ).
tcf(c_87088,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_83116]) ).
tcf(c_87089,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_83116]) ).
tcf(c_87090,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_83116]) ).
tcf(c_87091,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_83116]) ).
tcf(c_87092,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_83116]) ).
tcf(c_87093,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_83116]) ).
tcf(c_87094,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_83116]) ).
tcf(c_87095,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_83116]) ).
tcf(c_87096,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_83116]) ).
tcf(c_87097,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_83116]) ).
tcf(c_87098,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_83116]) ).
tcf(c_87099,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_83116]) ).
tcf(c_87100,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_83116]) ).
tcf(c_87101,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_83116]) ).
tcf(c_87102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_83116]) ).
tcf(c_87103,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_83116]) ).
tcf(c_87104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_83116]) ).
tcf(c_87105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_83116]) ).
tcf(c_87106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_83116]) ).
tcf(c_87107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_83116]) ).
tcf(c_87108,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_83116]) ).
tcf(c_87109,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_83116]) ).
tcf(c_87110,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_83116]) ).
tcf(c_87111,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_83116]) ).
tcf(c_87113,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_83116]) ).
tcf(c_87114,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_83116]) ).
tcf(c_87115,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_83116]) ).
tcf(c_87116,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_83116]) ).
tcf(c_87117,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_83116]) ).
tcf(c_87118,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_83116]) ).
tcf(c_87119,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_83116]) ).
tcf(c_87120,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_83116]) ).
tcf(c_87121,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_83116]) ).
tcf(c_87122,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_83116]) ).
tcf(c_87123,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_83116]) ).
tcf(c_87124,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_83116]) ).
tcf(c_87125,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_83116]) ).
tcf(c_87147,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87118,c_54901]) ).
tcf(c_87152,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87110,c_54901]) ).
tcf(c_87236,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87120,c_83199]) ).
tcf(c_87288,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87125,c_83199]) ).
tcf(c_87490,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_85681]) ).
tcf(c_87491,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_85681]) ).
tcf(c_87492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_85681]) ).
tcf(c_87493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_85681]) ).
tcf(c_87494,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_85681]) ).
tcf(c_87495,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_85681]) ).
tcf(c_87497,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_85681]) ).
tcf(c_87498,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_85681]) ).
tcf(c_87499,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_85681]) ).
tcf(c_87500,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_85681]) ).
tcf(c_87501,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_85681]) ).
tcf(c_87502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_85681]) ).
tcf(c_87503,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,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_85681]) ).
tcf(c_87504,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,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_85681]) ).
tcf(c_87505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_85681]) ).
tcf(c_87506,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,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_85681]) ).
tcf(c_87507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_85681]) ).
tcf(c_87508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_85681]) ).
tcf(c_87509,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,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_85681]) ).
tcf(c_87510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_85681]) ).
tcf(c_87511,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,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_85681]) ).
tcf(c_87512,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_85681]) ).
tcf(c_87513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_85681]) ).
tcf(c_87515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_85681]) ).
tcf(c_87516,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_85681]) ).
tcf(c_87517,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_85681]) ).
tcf(c_87518,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_85681]) ).
tcf(c_87519,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_85681]) ).
tcf(c_87520,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_85681]) ).
tcf(c_87521,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15043,c_85681]) ).
tcf(c_87522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_85681]) ).
tcf(c_87523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_85681]) ).
tcf(c_87525,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_85681]) ).
tcf(c_87527,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_85681]) ).
tcf(c_87529,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_85681]) ).
tcf(c_87530,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_85681]) ).
tcf(c_87531,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_85681]) ).
tcf(c_87532,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_85681]) ).
tcf(c_87533,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_85681]) ).
tcf(c_87534,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_85681]) ).
tcf(c_87535,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_85681]) ).
tcf(c_87536,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_85681]) ).
tcf(c_87537,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_85681]) ).
tcf(c_87538,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_85681]) ).
tcf(c_87539,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_85681]) ).
tcf(c_87540,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_85681]) ).
tcf(c_87541,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_85681]) ).
tcf(c_87542,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_85681]) ).
tcf(c_87543,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_85681]) ).
tcf(c_87544,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_85681]) ).
tcf(c_87545,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_85681]) ).
tcf(c_87546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_85681]) ).
tcf(c_87547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_85681]) ).
tcf(c_87548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_85681]) ).
tcf(c_87549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_85681]) ).
tcf(c_87550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_85681]) ).
tcf(c_87551,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_85681]) ).
tcf(c_87552,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_85681]) ).
tcf(c_87553,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_85681]) ).
tcf(c_87555,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_85681]) ).
tcf(c_87556,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_85681]) ).
tcf(c_87557,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_85681]) ).
tcf(c_87558,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_85681]) ).
tcf(c_87559,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_85681]) ).
tcf(c_87560,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_85681]) ).
tcf(c_87561,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_85681]) ).
tcf(c_87562,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_85681]) ).
tcf(c_87563,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_85681]) ).
tcf(c_87564,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_85681]) ).
tcf(c_87565,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_85681]) ).
tcf(c_87566,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_85681]) ).
tcf(c_87567,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_85681]) ).
tcf(c_87589,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87560,c_54901]) ).
tcf(c_87594,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87552,c_54901]) ).
tcf(c_87728,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_87567,c_83199]) ).
tcf(c_88561,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_85702]) ).
tcf(c_88562,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_85702]) ).
tcf(c_88563,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_85702]) ).
tcf(c_88564,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_85702]) ).
tcf(c_88565,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_85702]) ).
tcf(c_88566,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_85702]) ).
tcf(c_88568,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_85702]) ).
tcf(c_88569,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_85702]) ).
tcf(c_88570,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_85702]) ).
tcf(c_88571,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_85702]) ).
tcf(c_88572,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_85702]) ).
tcf(c_88573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_85702]) ).
tcf(c_88574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_85702]) ).
tcf(c_88575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_85702]) ).
tcf(c_88576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_85702]) ).
tcf(c_88577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_85702]) ).
tcf(c_88578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_85702]) ).
tcf(c_88579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_85702]) ).
tcf(c_88580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_85702]) ).
tcf(c_88581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_85702]) ).
tcf(c_88582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_85702]) ).
tcf(c_88583,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_85702]) ).
tcf(c_88584,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_85702]) ).
tcf(c_88585,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_85702]) ).
tcf(c_88586,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_85702]) ).
tcf(c_88587,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_85702]) ).
tcf(c_88588,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_85702]) ).
tcf(c_88589,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_85702]) ).
tcf(c_88590,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_85702]) ).
tcf(c_88591,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_85702]) ).
tcf(c_88592,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_85702]) ).
tcf(c_88593,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_85702]) ).
tcf(c_88594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_85702]) ).
tcf(c_88595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_85702]) ).
tcf(c_88596,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_85702]) ).
tcf(c_88599,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_85702]) ).
tcf(c_88600,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_85702]) ).
tcf(c_88601,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_85702]) ).
tcf(c_88602,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_85702]) ).
tcf(c_88604,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_85702]) ).
tcf(c_88605,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_85702]) ).
tcf(c_88606,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_85702]) ).
tcf(c_88607,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_85702]) ).
tcf(c_88608,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_85702]) ).
tcf(c_88609,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_85702]) ).
tcf(c_88610,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_85702]) ).
tcf(c_88611,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_85702]) ).
tcf(c_88612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_85702]) ).
tcf(c_88613,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_85702]) ).
tcf(c_88614,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_85702]) ).
tcf(c_88615,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_85702]) ).
tcf(c_88616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_85702]) ).
tcf(c_88617,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_85702]) ).
tcf(c_88618,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_85702]) ).
tcf(c_88619,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_85702]) ).
tcf(c_88620,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_85702]) ).
tcf(c_88622,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_85702]) ).
tcf(c_88623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_85702]) ).
tcf(c_88624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_85702]) ).
tcf(c_88625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_85702]) ).
tcf(c_88626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_85702]) ).
tcf(c_88627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_85702]) ).
tcf(c_88628,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_85702]) ).
tcf(c_88629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_85702]) ).
tcf(c_88630,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_85702]) ).
tcf(c_88631,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_85702]) ).
tcf(c_88632,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_85702]) ).
tcf(c_88634,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_85702]) ).
tcf(c_88635,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_85702]) ).
tcf(c_88636,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_85702]) ).
tcf(c_88637,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_85702]) ).
tcf(c_88638,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_85702]) ).
tcf(c_88639,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_85702]) ).
tcf(c_88640,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_85702]) ).
tcf(c_88642,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_85702]) ).
tcf(c_88643,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_85702]) ).
tcf(c_88644,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_85702]) ).
tcf(c_88645,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_85702]) ).
tcf(c_88646,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_85702]) ).
tcf(c_88647,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_85702]) ).
tcf(c_88648,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_85702]) ).
tcf(c_88649,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_85702]) ).
tcf(c_88650,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_85702]) ).
tcf(c_89084,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_69283]) ).
tcf(c_89085,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_69283]) ).
tcf(c_89086,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_69283]) ).
tcf(c_89087,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_69283]) ).
tcf(c_89088,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_69283]) ).
tcf(c_89089,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,image3(X0,X1,X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_69283]) ).
tcf(c_89090,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_69283]) ).
tcf(c_89091,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_69283]) ).
tcf(c_89093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),image3(X2,X3,X4)) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_69283]) ).
tcf(c_89094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),image3(X2,X3,X4)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_69283]) ).
tcf(c_89095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_69283]) ).
tcf(c_89096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_69283]) ).
tcf(c_89098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_69283]) ).
tcf(c_89099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),image3(X2,X3,X4)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_69283]) ).
tcf(c_89100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X4,X5,X0),sK4(sK2,sK3)),X3)
| ~ subset(sK1,image3(X4,X5,X0))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_4826,c_69283]) ).
tcf(c_89101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,inverse_image3(X4,X5,X0),sK4(sK2,sK3)),X3)
| ~ subset(sK1,inverse_image3(X4,X5,X0))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5021,c_69283]) ).
tcf(c_89102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_12311,c_69283]) ).
tcf(c_89103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_12517,c_69283]) ).
tcf(c_89104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_13453,c_69283]) ).
tcf(c_89105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_13726,c_69283]) ).
tcf(c_89106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_69283]) ).
tcf(c_89107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_69283]) ).
tcf(c_89108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_69283]) ).
tcf(c_89109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_69283]) ).
tcf(c_89110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_69283]) ).
tcf(c_89111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X3,X4,sK3),sK4(sK2,sK3)),X2)
| ~ subset(sK1,image3(X3,X4,sK3))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_69283]) ).
tcf(c_89422,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_69286]) ).
tcf(c_89423,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_69286]) ).
tcf(c_89424,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_69286]) ).
tcf(c_89425,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_69286]) ).
tcf(c_89426,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_69286]) ).
tcf(c_89427,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK3,inverse_image3(X0,X1,X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_69286]) ).
tcf(c_89428,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_69286]) ).
tcf(c_89429,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_69286]) ).
tcf(c_89431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_69286]) ).
tcf(c_89432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_69286]) ).
tcf(c_89433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_69286]) ).
tcf(c_89434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_69286]) ).
tcf(c_89436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) = sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_69286]) ).
tcf(c_89437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_69286]) ).
tcf(c_89438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X4,X5,X0),sK4(sK2,sK3)),X3)
| ~ subset(sK1,image3(X4,X5,X0))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_4826,c_69286]) ).
tcf(c_89439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,inverse_image3(X4,X5,X0),sK4(sK2,sK3)),X3)
| ~ subset(sK1,inverse_image3(X4,X5,X0))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5021,c_69286]) ).
tcf(c_89440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_12311,c_69286]) ).
tcf(c_89441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_12517,c_69286]) ).
tcf(c_89442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_13453,c_69286]) ).
tcf(c_89443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),sK4(sK2,sK3)),X6)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6)))) ),
inference(superposition,[status(thm)],[c_13726,c_69286]) ).
tcf(c_89444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_69286]) ).
tcf(c_89445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_69286]) ).
tcf(c_89446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_69286]) ).
tcf(c_89447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_69286]) ).
tcf(c_89448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_69286]) ).
tcf(c_89449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X3,X4,sK3),sK4(sK2,sK3)),X2)
| ~ subset(sK1,image3(X3,X4,sK3))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_35873,c_69286]) ).
tcf(c_89714,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70087]) ).
tcf(c_89715,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70087]) ).
tcf(c_89716,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_70087]) ).
tcf(c_89735,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70090]) ).
tcf(c_89736,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70090]) ).
tcf(c_89737,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_70090]) ).
tcf(c_89756,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_55]) ).
tcf(c_89757,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_85702]) ).
tcf(c_89758,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_84565]) ).
tcf(c_89759,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_83098]) ).
tcf(c_89760,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_82460]) ).
tcf(c_89761,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_63120]) ).
tcf(c_89762,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_62571]) ).
tcf(c_89763,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_62172]) ).
tcf(c_89764,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_61641]) ).
tcf(c_89765,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_57648]) ).
tcf(c_89766,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_57198]) ).
tcf(c_89767,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_56375]) ).
tcf(c_89768,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_55799]) ).
tcf(c_89769,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_55246]) ).
tcf(c_89770,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_53524]) ).
tcf(c_89771,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_52521]) ).
tcf(c_89772,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_59386]) ).
tcf(c_89773,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_58863]) ).
tcf(c_89774,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_58347]) ).
tcf(c_89775,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_58318]) ).
tcf(c_89776,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_51970]) ).
tcf(c_89777,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_51318]) ).
tcf(c_89778,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_50927]) ).
tcf(c_89779,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_48356]) ).
tcf(c_89780,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_47796]) ).
tcf(c_89781,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_47218]) ).
tcf(c_89782,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_46592]) ).
tcf(c_89783,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_46549]) ).
tcf(c_89784,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_22454]) ).
tcf(c_89785,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_21013]) ).
tcf(c_89786,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_17762]) ).
tcf(c_89787,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_16596]) ).
tcf(c_89788,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_16329]) ).
tcf(c_89789,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_16026]) ).
tcf(c_89790,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_19577]) ).
tcf(c_89791,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_14204]) ).
tcf(c_89792,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_13122]) ).
tcf(c_89793,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_3997]) ).
tcf(c_89794,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_5599]) ).
tcf(c_89795,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_3998]) ).
tcf(c_89796,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_1204]) ).
tcf(c_89797,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_1148]) ).
tcf(c_89798,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_1111]) ).
tcf(c_89800,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60847,c_6689]) ).
tcf(c_89801,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_5259]) ).
tcf(c_89802,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60847,c_6690]) ).
tcf(c_89803,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_4256]) ).
tcf(c_89804,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_5260]) ).
tcf(c_89805,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_4257]) ).
tcf(c_89806,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60847,c_1678]) ).
tcf(c_89807,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_1594]) ).
tcf(c_89808,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_60847,c_1679]) ).
tcf(c_89809,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_60847,c_1595]) ).
tcf(c_90220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,sK3,X2),X3)
| member(sK7(X1,sK3,sK4(image3(X1,sK3,X2),X3)),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_36604,c_55]) ).
tcf(c_90221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_85702]) ).
tcf(c_90222,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36604,c_84565]) ).
tcf(c_90223,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_83098]) ).
tcf(c_90224,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36604,c_82460]) ).
tcf(c_90225,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_63120]) ).
tcf(c_90226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_62571]) ).
tcf(c_90227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_62172]) ).
tcf(c_90228,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_61641]) ).
tcf(c_90229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_57648]) ).
tcf(c_90230,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_57198]) ).
tcf(c_90231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_56375]) ).
tcf(c_90232,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_55799]) ).
tcf(c_90233,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_55246]) ).
tcf(c_90234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_53524]) ).
tcf(c_90235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36604,c_52521]) ).
tcf(c_90236,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_59386]) ).
tcf(c_90237,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36604,c_58863]) ).
tcf(c_90238,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_58347]) ).
tcf(c_90239,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36604,c_58318]) ).
tcf(c_90240,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_51970]) ).
tcf(c_90241,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_51318]) ).
tcf(c_90242,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_50927]) ).
tcf(c_90243,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_48356]) ).
tcf(c_90244,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_47796]) ).
tcf(c_90245,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36604,c_47218]) ).
tcf(c_90246,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_46592]) ).
tcf(c_90247,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) = sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_36604,c_46549]) ).
tcf(c_90248,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_22454]) ).
tcf(c_90249,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_21013]) ).
tcf(c_90250,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_17762]) ).
tcf(c_90251,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_16596]) ).
tcf(c_90252,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_16329]) ).
tcf(c_90253,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_16026]) ).
tcf(c_90254,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_19577]) ).
tcf(c_90255,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_14204]) ).
tcf(c_90256,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_13122]) ).
tcf(c_90257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_3997]) ).
tcf(c_90258,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_5599]) ).
tcf(c_90259,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_3998]) ).
tcf(c_90260,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36604,c_1204]) ).
tcf(c_90261,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36604,c_1148]) ).
tcf(c_90262,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) = sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_36604,c_1111]) ).
tcf(c_90264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,sK3,X1),X2)
| apply(sK0,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK8(sK0,X3,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))
| ~ subset(sK2,X3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36604,c_6689]) ).
tcf(c_90265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,X3,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))
| ~ subset(sK1,X3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_5259]) ).
tcf(c_90266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK8(sK0,X3,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),X3)
| ~ subset(sK2,X3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36604,c_6690]) ).
tcf(c_90267,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,sK2,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_4256]) ).
tcf(c_90268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK7(sK0,X3,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),X3)
| ~ subset(sK1,X3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_5260]) ).
tcf(c_90269,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK7(sK0,sK2,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_4257]) ).
tcf(c_90270,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| apply(sK0,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK8(sK0,sK2,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36604,c_1678]) ).
tcf(c_90271,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_1594]) ).
tcf(c_90272,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK8(sK0,sK2,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK2)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36604,c_1679]) ).
tcf(c_90273,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| member(sK7(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))),sK1)
| ~ member(sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36604,c_1595]) ).
tcf(c_90799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,sK3,X2),X3)
| member(sK8(X1,sK3,sK4(inverse_image3(X1,sK3,X2),X3)),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_36605,c_55]) ).
tcf(c_90800,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_85702]) ).
tcf(c_90801,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36605,c_84565]) ).
tcf(c_90802,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_83098]) ).
tcf(c_90803,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36605,c_82460]) ).
tcf(c_90804,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_63120]) ).
tcf(c_90805,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_62571]) ).
tcf(c_90806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_62172]) ).
tcf(c_90807,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_61641]) ).
tcf(c_90808,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_57648]) ).
tcf(c_90809,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_57198]) ).
tcf(c_90810,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_56375]) ).
tcf(c_90811,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_55799]) ).
tcf(c_90812,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_55246]) ).
tcf(c_90813,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_53524]) ).
tcf(c_90814,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36605,c_52521]) ).
tcf(c_90815,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_59386]) ).
tcf(c_90816,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36605,c_58863]) ).
tcf(c_90817,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_58347]) ).
tcf(c_90818,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36605,c_58318]) ).
tcf(c_90819,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_51970]) ).
tcf(c_90820,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_51318]) ).
tcf(c_90821,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_50927]) ).
tcf(c_90822,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_48356]) ).
tcf(c_90823,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_47796]) ).
tcf(c_90824,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36605,c_47218]) ).
tcf(c_90825,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_46592]) ).
tcf(c_90826,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) = sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_36605,c_46549]) ).
tcf(c_90827,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_22454]) ).
tcf(c_90828,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_21013]) ).
tcf(c_90829,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_17762]) ).
tcf(c_90830,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_16596]) ).
tcf(c_90831,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_16329]) ).
tcf(c_90832,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_16026]) ).
tcf(c_90833,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_19577]) ).
tcf(c_90834,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_14204]) ).
tcf(c_90835,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_13122]) ).
tcf(c_90836,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_3997]) ).
tcf(c_90837,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_5599]) ).
tcf(c_90838,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_3998]) ).
tcf(c_90839,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_36605,c_1204]) ).
tcf(c_90840,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) ) ),
inference(superposition,[status(thm)],[c_36605,c_1148]) ).
tcf(c_90841,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) = sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_36605,c_1111]) ).
tcf(c_90843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| apply(sK0,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK8(sK0,X3,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))
| ~ subset(sK2,X3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36605,c_6689]) ).
tcf(c_90844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,X3,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))
| ~ subset(sK1,X3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_5259]) ).
tcf(c_90845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK8(sK0,X3,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),X3)
| ~ subset(sK2,X3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36605,c_6690]) ).
tcf(c_90846,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,sK2,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_4256]) ).
tcf(c_90847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK7(sK0,X3,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),X3)
| ~ subset(sK1,X3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_5260]) ).
tcf(c_90848,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK7(sK0,sK2,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_4257]) ).
tcf(c_90849,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| apply(sK0,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK8(sK0,sK2,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36605,c_1678]) ).
tcf(c_90850,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| apply(sK0,sK7(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_1594]) ).
tcf(c_90851,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK8(sK0,sK2,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK2)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK1) ),
inference(superposition,[status(thm)],[c_36605,c_1679]) ).
tcf(c_90852,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| member(sK7(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))),sK1)
| ~ member(sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_36605,c_1595]) ).
tcf(c_91202,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK6(sK0,sK1,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_36629,c_55]) ).
tcf(c_91203,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_85702]) ).
tcf(c_91204,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_84565]) ).
tcf(c_91205,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_83098]) ).
tcf(c_91206,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_82460]) ).
tcf(c_91207,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_63120]) ).
tcf(c_91208,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_62571]) ).
tcf(c_91209,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_62172]) ).
tcf(c_91210,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_61641]) ).
tcf(c_91211,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_57648]) ).
tcf(c_91212,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_57198]) ).
tcf(c_91213,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_56375]) ).
tcf(c_91214,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_55799]) ).
tcf(c_91215,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_55246]) ).
tcf(c_91216,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_53524]) ).
tcf(c_91217,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_52521]) ).
tcf(c_91218,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_59386]) ).
tcf(c_91219,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_58863]) ).
tcf(c_91220,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_58347]) ).
tcf(c_91221,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_58318]) ).
tcf(c_91222,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_51970]) ).
tcf(c_91223,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_51318]) ).
tcf(c_91224,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_50927]) ).
tcf(c_91225,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_48356]) ).
tcf(c_91226,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_47796]) ).
tcf(c_91227,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_47218]) ).
tcf(c_91228,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_46592]) ).
tcf(c_91229,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK7(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_46549]) ).
tcf(c_91230,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_22454]) ).
tcf(c_91231,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_21013]) ).
tcf(c_91232,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_17762]) ).
tcf(c_91233,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_16596]) ).
tcf(c_91234,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_16329]) ).
tcf(c_91235,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_16026]) ).
tcf(c_91236,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_19577]) ).
tcf(c_91237,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_14204]) ).
tcf(c_91238,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_13122]) ).
tcf(c_91239,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_3997]) ).
tcf(c_91240,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_5599]) ).
tcf(c_91241,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_3998]) ).
tcf(c_91242,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_1204]) ).
tcf(c_91243,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_1148]) ).
tcf(c_91244,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) = sK7(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_1111]) ).
tcf(c_91580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X2,X3,X0)))) = sK4(sK3,image3(X2,X3,X0)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_89091,c_55]) ).
tcf(c_91581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_65]) ).
tcf(c_91582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_64]) ).
tcf(c_91583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_63]) ).
tcf(c_91584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_69]) ).
tcf(c_91585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_68]) ).
tcf(c_91586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_67]) ).
tcf(c_91605,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_58318]) ).
tcf(c_91613,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_46549]) ).
tcf(c_91628,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_1111]) ).
tcf(c_91629,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_85681]) ).
tcf(c_91630,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_83116]) ).
tcf(c_91631,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_83077]) ).
tcf(c_91632,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_82452]) ).
tcf(c_91633,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_63099]) ).
tcf(c_91634,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_59404]) ).
tcf(c_91635,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_57627]) ).
tcf(c_91636,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_56354]) ).
tcf(c_91637,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_55778]) ).
tcf(c_91638,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_55225]) ).
tcf(c_91639,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_51988]) ).
tcf(c_91640,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_48374]) ).
tcf(c_91641,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_61620]) ).
tcf(c_91642,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_59365]) ).
tcf(c_91643,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_58365]) ).
tcf(c_91644,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_58326]) ).
tcf(c_91645,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_51949]) ).
tcf(c_91646,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_47814]) ).
tcf(c_91647,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_48335]) ).
tcf(c_91648,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_47775]) ).
tcf(c_91649,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_46610]) ).
tcf(c_91650,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_46571]) ).
tcf(c_91651,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_22437]) ).
tcf(c_91652,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_19101]) ).
tcf(c_91653,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_19098]) ).
tcf(c_91654,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_17745]) ).
tcf(c_91655,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_16312]) ).
tcf(c_91656,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_16009]) ).
tcf(c_91657,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_19099]) ).
tcf(c_91658,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_19102]) ).
tcf(c_91659,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_14187]) ).
tcf(c_91660,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_5588]) ).
tcf(c_91661,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_1826]) ).
tcf(c_91662,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_1179]) ).
tcf(c_91663,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_1119]) ).
tcf(c_91664,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X0)))) = sK4(sK3,image3(X1,X2,X0)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_46048]) ).
tcf(c_91665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_6689]) ).
tcf(c_91666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_5259]) ).
tcf(c_91667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_6690]) ).
tcf(c_91668,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_4256]) ).
tcf(c_91669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,X3)))) = sK4(sK3,image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_5260]) ).
tcf(c_91670,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_4257]) ).
tcf(c_91671,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_1678]) ).
tcf(c_91672,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_1594]) ).
tcf(c_91673,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_1679]) ).
tcf(c_91674,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89091,c_1595]) ).
tcf(c_91675,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_36577]) ).
tcf(c_91676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_40260]) ).
tcf(c_91677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89091,c_40364]) ).
tcf(c_92244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X2,X3,X0)))) = sK4(sK3,inverse_image3(X2,X3,X0)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_89429,c_55]) ).
tcf(c_92245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_65]) ).
tcf(c_92246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_64]) ).
tcf(c_92247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_63]) ).
tcf(c_92248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_69]) ).
tcf(c_92249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK8(X2,X3,sK7(sK0,sK3,sK4(sK2,sK3))),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_68]) ).
tcf(c_92250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_67]) ).
tcf(c_92269,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_58318]) ).
tcf(c_92277,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_46549]) ).
tcf(c_92292,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) = sK7(sK0,sK3,sK4(sK2,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_1111]) ).
tcf(c_92293,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_85681]) ).
tcf(c_92294,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_83116]) ).
tcf(c_92295,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_83077]) ).
tcf(c_92296,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_82452]) ).
tcf(c_92297,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_63099]) ).
tcf(c_92298,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_59404]) ).
tcf(c_92299,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_57627]) ).
tcf(c_92300,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_56354]) ).
tcf(c_92301,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_55778]) ).
tcf(c_92302,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_55225]) ).
tcf(c_92303,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_51988]) ).
tcf(c_92304,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_48374]) ).
tcf(c_92305,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_61620]) ).
tcf(c_92306,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_59365]) ).
tcf(c_92307,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_58365]) ).
tcf(c_92308,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_58326]) ).
tcf(c_92309,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_51949]) ).
tcf(c_92310,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_47814]) ).
tcf(c_92311,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_48335]) ).
tcf(c_92312,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_47775]) ).
tcf(c_92313,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_46610]) ).
tcf(c_92314,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_46571]) ).
tcf(c_92315,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_22437]) ).
tcf(c_92316,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_19101]) ).
tcf(c_92317,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_19098]) ).
tcf(c_92318,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_17745]) ).
tcf(c_92319,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_16312]) ).
tcf(c_92320,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_16009]) ).
tcf(c_92321,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_19099]) ).
tcf(c_92322,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_19102]) ).
tcf(c_92323,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_14187]) ).
tcf(c_92324,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_5588]) ).
tcf(c_92325,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_1826]) ).
tcf(c_92326,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_1179]) ).
tcf(c_92327,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_1119]) ).
tcf(c_92328,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X0)))) = sK4(sK3,inverse_image3(X1,X2,X0)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_46048]) ).
tcf(c_92329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_6689]) ).
tcf(c_92330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_5259]) ).
tcf(c_92331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_6690]) ).
tcf(c_92332,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_4256]) ).
tcf(c_92333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK3,sK4(sK2,sK3))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,X3)))) = sK4(sK3,inverse_image3(X1,X2,X3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_5260]) ).
tcf(c_92334,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_4257]) ).
tcf(c_92335,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK3,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_1678]) ).
tcf(c_92336,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK7(sK0,sK3,sK4(sK2,sK3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_1594]) ).
tcf(c_92337,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_1679]) ).
tcf(c_92338,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89429,c_1595]) ).
tcf(c_92339,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK3)))) = sK4(sK3,inverse_image3(X0,X1,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_36577]) ).
tcf(c_92340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_40260]) ).
tcf(c_92341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK3,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89429,c_40364]) ).
tcf(c_92849,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_53549]) ).
tcf(c_92850,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_53549]) ).
tcf(c_92851,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_53549]) ).
tcf(c_92875,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_57223]) ).
tcf(c_92876,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_57223]) ).
tcf(c_92877,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_57223]) ).
tcf(c_92930,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_62197]) ).
tcf(c_92931,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_62197]) ).
tcf(c_92932,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_62197]) ).
tcf(c_92956,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_62596]) ).
tcf(c_92957,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_62596]) ).
tcf(c_92958,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_62596]) ).
tcf(c_92978,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) ) ),
inference(superposition,[status(thm)],[c_54,c_63631]) ).
tcf(c_92979,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_63631]) ).
tcf(c_92980,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_954,c_63631]) ).
tcf(c_92981,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_962,c_63631]) ).
tcf(c_92982,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_63631]) ).
tcf(c_92983,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_63631]) ).
tcf(c_92984,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_63631]) ).
tcf(c_92985,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_63631]) ).
tcf(c_92986,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_63631]) ).
tcf(c_92987,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_63631]) ).
tcf(c_92988,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_63631]) ).
tcf(c_92989,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_63631]) ).
tcf(c_92990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_63631]) ).
tcf(c_92991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_63631]) ).
tcf(c_92992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_63631]) ).
tcf(c_92993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_63631]) ).
tcf(c_92994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_63631]) ).
tcf(c_92995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_63631]) ).
tcf(c_92996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_63631]) ).
tcf(c_92997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_63631]) ).
tcf(c_92998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_63631]) ).
tcf(c_92999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_63631]) ).
tcf(c_93000,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_63631]) ).
tcf(c_93001,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_63631]) ).
tcf(c_93002,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_63631]) ).
tcf(c_93003,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_63631]) ).
tcf(c_93004,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_63631]) ).
tcf(c_93005,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_63631]) ).
tcf(c_93006,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_63631]) ).
tcf(c_93007,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_63631]) ).
tcf(c_93008,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_63631]) ).
tcf(c_93009,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_15043,c_63631]) ).
tcf(c_93010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_63631]) ).
tcf(c_93011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_63631]) ).
tcf(c_93013,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_63631]) ).
tcf(c_93014,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_63631]) ).
tcf(c_93015,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_63631]) ).
tcf(c_93017,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_63631]) ).
tcf(c_93018,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_63631]) ).
tcf(c_93019,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_63631]) ).
tcf(c_93020,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_63631]) ).
tcf(c_93021,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_63631]) ).
tcf(c_93022,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_63631]) ).
tcf(c_93023,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_63631]) ).
tcf(c_93024,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_63631]) ).
tcf(c_93025,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_63631]) ).
tcf(c_93026,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_63631]) ).
tcf(c_93027,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_63631]) ).
tcf(c_93028,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_63631]) ).
tcf(c_93029,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_63631]) ).
tcf(c_93031,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_63631]) ).
tcf(c_93032,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_63631]) ).
tcf(c_93033,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_63631]) ).
tcf(c_93034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_63631]) ).
tcf(c_93035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_63631]) ).
tcf(c_93036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_63631]) ).
tcf(c_93037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_63631]) ).
tcf(c_93038,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_63631]) ).
tcf(c_93039,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_63631]) ).
tcf(c_93040,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_63631]) ).
tcf(c_93041,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_63631]) ).
tcf(c_93043,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_63631]) ).
tcf(c_93044,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_50594,c_63631]) ).
tcf(c_93045,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_63631]) ).
tcf(c_93046,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_63631]) ).
tcf(c_93047,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_63631]) ).
tcf(c_93048,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_50603,c_63631]) ).
tcf(c_93049,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_63631]) ).
tcf(c_93050,plain,
sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))),
inference(superposition,[status(thm)],[c_54942,c_63631]) ).
tcf(c_93051,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_63631]) ).
tcf(c_93052,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_63631]) ).
tcf(c_93053,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_63631]) ).
tcf(c_93054,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_63631]) ).
tcf(c_93055,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_65159,c_63631]) ).
tcf(c_93056,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_63631]) ).
tcf(c_93057,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_63631]) ).
tcf(c_94192,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) ) ),
inference(superposition,[status(thm)],[c_54,c_65650]) ).
tcf(c_94193,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_65650]) ).
tcf(c_94194,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) ) ),
inference(superposition,[status(thm)],[c_954,c_65650]) ).
tcf(c_94195,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) ) ),
inference(superposition,[status(thm)],[c_962,c_65650]) ).
tcf(c_94196,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_65650]) ).
tcf(c_94197,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_65650]) ).
tcf(c_94199,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_65650]) ).
tcf(c_94200,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_65650]) ).
tcf(c_94201,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_65650]) ).
tcf(c_94202,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_65650]) ).
tcf(c_94203,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_65650]) ).
tcf(c_94204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_65650]) ).
tcf(c_94205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_65650]) ).
tcf(c_94206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_65650]) ).
tcf(c_94207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_65650]) ).
tcf(c_94208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_65650]) ).
tcf(c_94209,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_65650]) ).
tcf(c_94210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_65650]) ).
tcf(c_94211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_65650]) ).
tcf(c_94212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_65650]) ).
tcf(c_94213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_65650]) ).
tcf(c_94214,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_65650]) ).
tcf(c_94215,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_65650]) ).
tcf(c_94216,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) )
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_65650]) ).
tcf(c_94217,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_65650]) ).
tcf(c_94218,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_65650]) ).
tcf(c_94220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_65650]) ).
tcf(c_94221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_65650]) ).
tcf(c_94222,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_65650]) ).
tcf(c_94223,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_65650]) ).
tcf(c_94224,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_36595,c_65650]) ).
tcf(c_94225,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(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_65650]) ).
tcf(c_94226,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) )
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_65650]) ).
tcf(c_94227,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_65650]) ).
tcf(c_94229,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_65650]) ).
tcf(c_94231,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_65650]) ).
tcf(c_94232,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_65650]) ).
tcf(c_94233,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_65650]) ).
tcf(c_94234,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_65650]) ).
tcf(c_94236,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_65650]) ).
tcf(c_94237,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_65650]) ).
tcf(c_94238,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_65650]) ).
tcf(c_94239,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_65650]) ).
tcf(c_94240,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) )
| ~ subset(sK1,sK2)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_65650]) ).
tcf(c_94241,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_65650]) ).
tcf(c_94242,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_65650]) ).
tcf(c_94243,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_65650]) ).
tcf(c_94244,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_65650]) ).
tcf(c_94245,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_65650]) ).
tcf(c_94246,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_65650]) ).
tcf(c_94247,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_65650]) ).
tcf(c_94248,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_65650]) ).
tcf(c_94249,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_65650]) ).
tcf(c_94250,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_65650]) ).
tcf(c_94251,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15625,c_65650]) ).
tcf(c_94252,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_65650]) ).
tcf(c_94254,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_65650]) ).
tcf(c_94255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_65650]) ).
tcf(c_94256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_65650]) ).
tcf(c_94257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_65650]) ).
tcf(c_94258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_65650]) ).
tcf(c_94259,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_36596,c_65650]) ).
tcf(c_94260,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_50560,c_65650]) ).
tcf(c_94261,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_36597,c_65650]) ).
tcf(c_94263,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) ) ),
inference(superposition,[status(thm)],[c_36604,c_65650]) ).
tcf(c_94264,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) ) ),
inference(superposition,[status(thm)],[c_36605,c_65650]) ).
tcf(c_94265,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_50562,c_65650]) ).
tcf(c_94266,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_65650]) ).
tcf(c_94268,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_54703,c_65650]) ).
tcf(c_94269,plain,
sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))),
inference(superposition,[status(thm)],[c_54737,c_65650]) ).
tcf(c_94270,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_65650]) ).
tcf(c_94271,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_65650]) ).
tcf(c_94272,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) )
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_65650]) ).
tcf(c_94273,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_65650]) ).
tcf(c_94274,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK2,sK2) ),
inference(superposition,[status(thm)],[c_54909,c_65650]) ).
tcf(c_94276,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_50603,c_65650]) ).
tcf(c_94277,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_65650]) ).
tcf(c_94278,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_65650]) ).
tcf(c_94279,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_65650]) ).
tcf(c_94280,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_65650]) ).
tcf(c_94281,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_65650]) ).
tcf(c_94282,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_65650]) ).
tcf(c_94283,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_65650]) ).
tcf(c_94284,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_65159,c_65650]) ).
tcf(c_94287,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_65650]) ).
tcf(c_94768,plain,
( apply(sK0,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54913,c_5393]) ).
tcf(c_94773,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ subset(sK2,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_54913,c_9340]) ).
tcf(c_94775,plain,
apply(sK0,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),
inference(forward_subsumption_resolution,[status(thm)],[c_94768,c_54737]) ).
tcf(c_94782,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70422]) ).
tcf(c_94783,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70422]) ).
tcf(c_94799,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70425]) ).
tcf(c_94800,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70425]) ).
tcf(c_94816,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK2,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74988,c_55]) ).
tcf(c_94817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_65]) ).
tcf(c_94818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_64]) ).
tcf(c_94819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X3)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_63]) ).
tcf(c_94820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(X1,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_69]) ).
tcf(c_94821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X1,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_68]) ).
tcf(c_94822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),X3)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_74988,c_67]) ).
tcf(c_94823,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_65650]) ).
tcf(c_94824,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_85702]) ).
tcf(c_94825,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_84565]) ).
tcf(c_94826,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_83098]) ).
tcf(c_94827,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_82460]) ).
tcf(c_94828,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_63120]) ).
tcf(c_94829,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_62571]) ).
tcf(c_94830,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_62172]) ).
tcf(c_94831,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_61641]) ).
tcf(c_94832,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_57648]) ).
tcf(c_94833,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_57198]) ).
tcf(c_94834,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_56375]) ).
tcf(c_94835,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_55799]) ).
tcf(c_94836,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_55246]) ).
tcf(c_94837,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_53524]) ).
tcf(c_94838,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_52521]) ).
tcf(c_94839,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_59386]) ).
tcf(c_94840,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_58863]) ).
tcf(c_94841,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_58347]) ).
tcf(c_94842,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_58318]) ).
tcf(c_94843,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_51970]) ).
tcf(c_94844,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_51318]) ).
tcf(c_94845,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_50927]) ).
tcf(c_94846,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_48356]) ).
tcf(c_94847,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_47796]) ).
tcf(c_94848,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_47218]) ).
tcf(c_94849,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_46592]) ).
tcf(c_94850,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_46549]) ).
tcf(c_94851,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_22454]) ).
tcf(c_94852,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_21013]) ).
tcf(c_94853,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_17762]) ).
tcf(c_94854,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_16596]) ).
tcf(c_94855,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_16329]) ).
tcf(c_94856,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_16026]) ).
tcf(c_94857,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_19577]) ).
tcf(c_94858,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_14204]) ).
tcf(c_94859,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_13122]) ).
tcf(c_94860,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_3997]) ).
tcf(c_94861,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_5599]) ).
tcf(c_94862,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_3998]) ).
tcf(c_94863,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_1204]) ).
tcf(c_94864,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_1148]) ).
tcf(c_94865,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_1111]) ).
tcf(c_94866,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_63631]) ).
tcf(c_94867,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_85681]) ).
tcf(c_94868,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_83116]) ).
tcf(c_94869,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_83077]) ).
tcf(c_94870,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_82452]) ).
tcf(c_94871,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_63099]) ).
tcf(c_94872,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_59404]) ).
tcf(c_94873,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_57627]) ).
tcf(c_94874,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_56354]) ).
tcf(c_94875,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_55778]) ).
tcf(c_94876,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_55225]) ).
tcf(c_94877,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_51988]) ).
tcf(c_94878,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_48374]) ).
tcf(c_94879,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_61620]) ).
tcf(c_94880,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_59365]) ).
tcf(c_94881,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_58365]) ).
tcf(c_94882,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_58326]) ).
tcf(c_94883,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_51949]) ).
tcf(c_94884,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_47814]) ).
tcf(c_94885,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_48335]) ).
tcf(c_94886,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_47775]) ).
tcf(c_94887,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_46610]) ).
tcf(c_94888,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_46571]) ).
tcf(c_94889,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_22437]) ).
tcf(c_94890,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_19101]) ).
tcf(c_94891,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_19098]) ).
tcf(c_94892,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_17745]) ).
tcf(c_94893,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_16312]) ).
tcf(c_94894,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_16009]) ).
tcf(c_94895,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_19099]) ).
tcf(c_94896,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_19102]) ).
tcf(c_94897,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_14187]) ).
tcf(c_94898,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_5588]) ).
tcf(c_94899,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_1826]) ).
tcf(c_94900,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_1179]) ).
tcf(c_94901,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_1119]) ).
tcf(c_94902,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74988,c_46048]) ).
tcf(c_94903,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_6689]) ).
tcf(c_94904,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_5259]) ).
tcf(c_94905,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_6690]) ).
tcf(c_94906,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_4256]) ).
tcf(c_94907,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),X2)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_5260]) ).
tcf(c_94908,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_4257]) ).
tcf(c_94909,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_1678]) ).
tcf(c_94910,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_1594]) ).
tcf(c_94911,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_1679]) ).
tcf(c_94912,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_74988,c_1595]) ).
tcf(c_94914,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,sK3))
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_40260]) ).
tcf(c_94915,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,sK3))
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_74988,c_40364]) ).
tcf(c_95743,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_81189,c_55]) ).
tcf(c_95744,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_65]) ).
tcf(c_95745,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_64]) ).
tcf(c_95746,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_63]) ).
tcf(c_95747,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_69]) ).
tcf(c_95748,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_68]) ).
tcf(c_95749,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81189,c_67]) ).
tcf(c_95750,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_65650]) ).
tcf(c_95751,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_85702]) ).
tcf(c_95752,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_84565]) ).
tcf(c_95753,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_83098]) ).
tcf(c_95754,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_82460]) ).
tcf(c_95755,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_63120]) ).
tcf(c_95756,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_62571]) ).
tcf(c_95757,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_62172]) ).
tcf(c_95758,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_61641]) ).
tcf(c_95759,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_57648]) ).
tcf(c_95760,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_57198]) ).
tcf(c_95761,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_56375]) ).
tcf(c_95762,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_55799]) ).
tcf(c_95763,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_55246]) ).
tcf(c_95764,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_53524]) ).
tcf(c_95765,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_52521]) ).
tcf(c_95766,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_59386]) ).
tcf(c_95767,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_58863]) ).
tcf(c_95768,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_58347]) ).
tcf(c_95769,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_58318]) ).
tcf(c_95770,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_51970]) ).
tcf(c_95771,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_51318]) ).
tcf(c_95772,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_50927]) ).
tcf(c_95773,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_48356]) ).
tcf(c_95774,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_47796]) ).
tcf(c_95775,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_47218]) ).
tcf(c_95776,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_46592]) ).
tcf(c_95777,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_46549]) ).
tcf(c_95778,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_22454]) ).
tcf(c_95779,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_21013]) ).
tcf(c_95780,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_17762]) ).
tcf(c_95781,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_16596]) ).
tcf(c_95782,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_16329]) ).
tcf(c_95783,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_16026]) ).
tcf(c_95784,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_19577]) ).
tcf(c_95785,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_14204]) ).
tcf(c_95786,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_13122]) ).
tcf(c_95787,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_3997]) ).
tcf(c_95788,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_5599]) ).
tcf(c_95789,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_3998]) ).
tcf(c_95790,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1204]) ).
tcf(c_95791,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1148]) ).
tcf(c_95792,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1111]) ).
tcf(c_95793,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_63631]) ).
tcf(c_95794,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_85681]) ).
tcf(c_95795,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_83116]) ).
tcf(c_95796,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_83077]) ).
tcf(c_95797,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_82452]) ).
tcf(c_95798,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_63099]) ).
tcf(c_95799,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_59404]) ).
tcf(c_95800,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_57627]) ).
tcf(c_95801,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_56354]) ).
tcf(c_95802,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_55778]) ).
tcf(c_95803,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_55225]) ).
tcf(c_95804,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_51988]) ).
tcf(c_95805,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_48374]) ).
tcf(c_95806,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_61620]) ).
tcf(c_95807,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_59365]) ).
tcf(c_95808,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_58365]) ).
tcf(c_95809,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_58326]) ).
tcf(c_95810,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_51949]) ).
tcf(c_95811,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_47814]) ).
tcf(c_95812,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_48335]) ).
tcf(c_95813,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_47775]) ).
tcf(c_95814,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_46610]) ).
tcf(c_95815,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_46571]) ).
tcf(c_95816,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_22437]) ).
tcf(c_95817,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_19101]) ).
tcf(c_95818,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_19098]) ).
tcf(c_95819,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_17745]) ).
tcf(c_95820,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_16312]) ).
tcf(c_95821,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_16009]) ).
tcf(c_95822,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_19099]) ).
tcf(c_95823,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_19102]) ).
tcf(c_95824,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_14187]) ).
tcf(c_95825,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_5588]) ).
tcf(c_95826,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1826]) ).
tcf(c_95827,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1179]) ).
tcf(c_95828,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_1119]) ).
tcf(c_95830,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81189,c_6689]) ).
tcf(c_95831,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_5259]) ).
tcf(c_95832,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81189,c_6690]) ).
tcf(c_95833,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_4256]) ).
tcf(c_95834,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_5260]) ).
tcf(c_95835,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_4257]) ).
tcf(c_95836,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81189,c_1678]) ).
tcf(c_95837,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_1594]) ).
tcf(c_95838,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81189,c_1679]) ).
tcf(c_95839,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81189,c_1595]) ).
tcf(c_96500,plain,
( member(sK7(sK0,sK3,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_36632]) ).
tcf(c_96501,plain,
( member(sK7(sK0,sK3,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_36632]) ).
tcf(c_96502,plain,
( member(sK7(sK0,sK3,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_36632]) ).
tcf(c_96503,plain,
( member(sK7(sK0,sK3,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_36632]) ).
tcf(c_96504,plain,
( member(sK7(sK0,sK3,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_36632]) ).
tcf(c_96507,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK5(sK0,sK2,X1)),X0)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_36632,c_55]) ).
tcf(c_96508,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_65650]) ).
tcf(c_96509,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_85702]) ).
tcf(c_96510,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_84565]) ).
tcf(c_96511,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_83098]) ).
tcf(c_96512,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_82460]) ).
tcf(c_96513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_63120]) ).
tcf(c_96514,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_62571]) ).
tcf(c_96515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_62172]) ).
tcf(c_96516,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_61641]) ).
tcf(c_96517,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_57648]) ).
tcf(c_96518,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_57198]) ).
tcf(c_96519,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_56375]) ).
tcf(c_96520,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_55799]) ).
tcf(c_96521,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_55246]) ).
tcf(c_96522,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_53524]) ).
tcf(c_96523,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_52521]) ).
tcf(c_96524,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_59386]) ).
tcf(c_96525,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_58863]) ).
tcf(c_96526,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_58347]) ).
tcf(c_96527,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_58318]) ).
tcf(c_96528,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_51970]) ).
tcf(c_96529,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_51318]) ).
tcf(c_96530,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_50927]) ).
tcf(c_96531,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_48356]) ).
tcf(c_96532,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_47796]) ).
tcf(c_96533,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_47218]) ).
tcf(c_96534,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_46592]) ).
tcf(c_96535,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) = sK7(sK0,sK3,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_46549]) ).
tcf(c_96536,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_22454]) ).
tcf(c_96537,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_21013]) ).
tcf(c_96538,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_17762]) ).
tcf(c_96539,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_16596]) ).
tcf(c_96540,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_16329]) ).
tcf(c_96541,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_16026]) ).
tcf(c_96542,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_19577]) ).
tcf(c_96543,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_14204]) ).
tcf(c_96544,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_13122]) ).
tcf(c_96545,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_3997]) ).
tcf(c_96546,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_5599]) ).
tcf(c_96547,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_3998]) ).
tcf(c_96548,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_1204]) ).
tcf(c_96549,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_1148]) ).
tcf(c_96550,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) = sK7(sK0,sK3,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_1111]) ).
tcf(c_96552,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK8(sK0,X1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_36632,c_6689]) ).
tcf(c_96553,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK7(sK0,sK3,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_5259]) ).
tcf(c_96554,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK3,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_36632,c_6690]) ).
tcf(c_96555,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK7(sK0,sK3,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_4256]) ).
tcf(c_96556,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK3,sK5(sK0,sK2,X0))),X1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_5260]) ).
tcf(c_96557,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_4257]) ).
tcf(c_96558,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK8(sK0,sK2,sK7(sK0,sK3,sK5(sK0,sK2,X0))))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_36632,c_1678]) ).
tcf(c_96559,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK7(sK0,sK3,sK5(sK0,sK2,X0)))
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_1594]) ).
tcf(c_96560,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_36632,c_1679]) ).
tcf(c_96561,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK3,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_36632,c_1595]) ).
tcf(c_97089,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_36901,c_36595,c_36901]) ).
tcf(c_97096,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_97089,c_55]) ).
tcf(c_97097,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_63631]) ).
tcf(c_97098,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_85681]) ).
tcf(c_97099,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_83116]) ).
tcf(c_97100,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_83077]) ).
tcf(c_97101,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_97089,c_82452]) ).
tcf(c_97102,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_63099]) ).
tcf(c_97103,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_59404]) ).
tcf(c_97104,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_57627]) ).
tcf(c_97105,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_56354]) ).
tcf(c_97106,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_55778]) ).
tcf(c_97107,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_55225]) ).
tcf(c_97108,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_51988]) ).
tcf(c_97109,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_48374]) ).
tcf(c_97110,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_61620]) ).
tcf(c_97111,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_59365]) ).
tcf(c_97112,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_58365]) ).
tcf(c_97113,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_58326]) ).
tcf(c_97114,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_51949]) ).
tcf(c_97115,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_47814]) ).
tcf(c_97116,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_48335]) ).
tcf(c_97117,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_47775]) ).
tcf(c_97118,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_46610]) ).
tcf(c_97119,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_97089,c_46571]) ).
tcf(c_97120,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_22437]) ).
tcf(c_97121,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_19101]) ).
tcf(c_97122,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_19098]) ).
tcf(c_97123,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_17745]) ).
tcf(c_97124,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_16312]) ).
tcf(c_97125,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_16009]) ).
tcf(c_97126,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_19099]) ).
tcf(c_97127,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_19102]) ).
tcf(c_97128,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_14187]) ).
tcf(c_97129,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_5588]) ).
tcf(c_97130,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_1826]) ).
tcf(c_97131,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_1179]) ).
tcf(c_97132,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_97089,c_1119]) ).
tcf(c_97133,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_46048]) ).
tcf(c_97134,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97089,c_6689]) ).
tcf(c_97135,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_5259]) ).
tcf(c_97136,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97089,c_6690]) ).
tcf(c_97137,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_4256]) ).
tcf(c_97138,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_5260]) ).
tcf(c_97139,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_4257]) ).
tcf(c_97140,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97089,c_1678]) ).
tcf(c_97141,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_1594]) ).
tcf(c_97142,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97089,c_1679]) ).
tcf(c_97143,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97089,c_1595]) ).
tcf(c_97433,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) ) ),
inference(superposition,[status(thm)],[c_54,c_86381]) ).
tcf(c_97434,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_86381]) ).
tcf(c_97435,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_954,c_86381]) ).
tcf(c_97436,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) ) ),
inference(superposition,[status(thm)],[c_962,c_86381]) ).
tcf(c_97437,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_86381]) ).
tcf(c_97438,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_86381]) ).
tcf(c_97439,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3923,c_86381]) ).
tcf(c_97440,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_86381]) ).
tcf(c_97441,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_86381]) ).
tcf(c_97442,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_86381]) ).
tcf(c_97443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1010,c_86381]) ).
tcf(c_97444,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) ) ),
inference(superposition,[status(thm)],[c_1022,c_86381]) ).
tcf(c_97445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_86381]) ).
tcf(c_97446,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1379,c_86381]) ).
tcf(c_97447,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1380,c_86381]) ).
tcf(c_97448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1382,c_86381]) ).
tcf(c_97449,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1383,c_86381]) ).
tcf(c_97450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_86381]) ).
tcf(c_97451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1467,c_86381]) ).
tcf(c_97452,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1468,c_86381]) ).
tcf(c_97453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) ) ),
inference(superposition,[status(thm)],[c_1470,c_86381]) ).
tcf(c_97454,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,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) ) ),
inference(superposition,[status(thm)],[c_1471,c_86381]) ).
tcf(c_97455,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_86381]) ).
tcf(c_97456,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_86381]) ).
tcf(c_97457,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_1947,c_86381]) ).
tcf(c_97458,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_86381]) ).
tcf(c_97459,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_2377,c_86381]) ).
tcf(c_97460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3828,c_86381]) ).
tcf(c_97461,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2543,c_86381]) ).
tcf(c_97462,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_2542,c_86381]) ).
tcf(c_97463,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) ) ),
inference(superposition,[status(thm)],[c_3852,c_86381]) ).
tcf(c_97464,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(superposition,[status(thm)],[c_97089,c_86381]) ).
tcf(c_97465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_86381]) ).
tcf(c_97466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_86381]) ).
tcf(c_97468,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_86381]) ).
tcf(c_97469,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19000,c_86381]) ).
tcf(c_97470,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_86381]) ).
tcf(c_97472,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_86381]) ).
tcf(c_97473,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_86381]) ).
tcf(c_97474,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_86381]) ).
tcf(c_97475,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_86381]) ).
tcf(c_97476,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_86381]) ).
tcf(c_97477,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_86381]) ).
tcf(c_97478,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_86381]) ).
tcf(c_97479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_86381]) ).
tcf(c_97480,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_86381]) ).
tcf(c_97481,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_86381]) ).
tcf(c_97482,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_86381]) ).
tcf(c_97483,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_86381]) ).
tcf(c_97484,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_86381]) ).
tcf(c_97485,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_15625,c_86381]) ).
tcf(c_97486,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_86381]) ).
tcf(c_97487,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_86381]) ).
tcf(c_97488,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_86381]) ).
tcf(c_97489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23803,c_86381]) ).
tcf(c_97490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23713,c_86381]) ).
tcf(c_97491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_24104,c_86381]) ).
tcf(c_97492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) ) ),
inference(superposition,[status(thm)],[c_23897,c_86381]) ).
tcf(c_97493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_35725,c_86381]) ).
tcf(c_97494,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_50562,c_86381]) ).
tcf(c_97495,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_86381]) ).
tcf(c_97496,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_86381]) ).
tcf(c_97498,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_86381]) ).
tcf(c_97499,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))),
inference(superposition,[status(thm)],[c_50594,c_86381]) ).
tcf(c_97500,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_86381]) ).
tcf(c_97501,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54909,c_86381]) ).
tcf(c_97502,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_54744,c_86381]) ).
tcf(c_97503,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_50603,c_86381]) ).
tcf(c_97504,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_86381]) ).
tcf(c_97505,plain,
sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))),
inference(superposition,[status(thm)],[c_54942,c_86381]) ).
tcf(c_97506,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_86381]) ).
tcf(c_97507,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_86381]) ).
tcf(c_97508,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_86381]) ).
tcf(c_97509,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_86381]) ).
tcf(c_97510,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_65159,c_86381]) ).
tcf(c_97511,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_86381]) ).
tcf(c_97512,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_86381]) ).
tcf(c_97513,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_86381]) ).
tcf(c_97514,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_86381]) ).
tcf(c_97677,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97485,c_948]) ).
tcf(c_98175,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_46570,c_65675]) ).
tcf(c_98176,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_1178,c_65675]) ).
tcf(c_98177,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK1))) = sK4(sK2,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) ) ),
inference(superposition,[status(thm)],[c_1118,c_65675]) ).
tcf(c_98198,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_60402]) ).
tcf(c_98199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_46063]) ).
tcf(c_98200,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_60131]) ).
tcf(c_98201,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_54017]) ).
tcf(c_98202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_39808]) ).
tcf(c_98203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35901,c_5022]) ).
tcf(c_98204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_37758]) ).
tcf(c_98205,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_35735]) ).
tcf(c_98206,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_35874]) ).
tcf(c_98207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35901,c_4827]) ).
tcf(c_98208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_4114]) ).
tcf(c_98209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_3710]) ).
tcf(c_98210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_3604]) ).
tcf(c_98211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_2541]) ).
tcf(c_98212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_1067]) ).
tcf(c_98213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_1036]) ).
tcf(c_98214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_2397]) ).
tcf(c_98215,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35901,c_993]) ).
tcf(c_98216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_69283]) ).
tcf(c_98217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_5025]) ).
tcf(c_98218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_4830]) ).
tcf(c_98219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1245]) ).
tcf(c_98220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1011]) ).
tcf(c_98221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_994]) ).
tcf(c_98222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_69286]) ).
tcf(c_98223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_5028]) ).
tcf(c_98224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_4833]) ).
tcf(c_98225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1267]) ).
tcf(c_98226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1023]) ).
tcf(c_98227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_995]) ).
tcf(c_98228,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1180]) ).
tcf(c_98230,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_24240]) ).
tcf(c_98231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1205]) ).
tcf(c_98232,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)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1149]) ).
tcf(c_98234,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_1593]) ).
tcf(c_98235,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_35901,c_5258]) ).
tcf(c_98236,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_4255]) ).
tcf(c_98527,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_60402]) ).
tcf(c_98528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_46063]) ).
tcf(c_98529,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_60131]) ).
tcf(c_98530,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_54017]) ).
tcf(c_98531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_39808]) ).
tcf(c_98532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35903,c_5022]) ).
tcf(c_98533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_37758]) ).
tcf(c_98534,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_35735]) ).
tcf(c_98535,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_35874]) ).
tcf(c_98536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35903,c_4827]) ).
tcf(c_98537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_4114]) ).
tcf(c_98538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_3710]) ).
tcf(c_98539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_3604]) ).
tcf(c_98540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_2541]) ).
tcf(c_98541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_1067]) ).
tcf(c_98542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_1036]) ).
tcf(c_98543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_2397]) ).
tcf(c_98544,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_35903,c_993]) ).
tcf(c_98545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_69283]) ).
tcf(c_98546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_5025]) ).
tcf(c_98547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_4830]) ).
tcf(c_98548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1245]) ).
tcf(c_98549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1011]) ).
tcf(c_98550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_994]) ).
tcf(c_98551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_69286]) ).
tcf(c_98552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_5028]) ).
tcf(c_98553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_4833]) ).
tcf(c_98554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1267]) ).
tcf(c_98555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1023]) ).
tcf(c_98556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_995]) ).
tcf(c_98557,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1180]) ).
tcf(c_98559,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_24240]) ).
tcf(c_98560,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1205]) ).
tcf(c_98561,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)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1149]) ).
tcf(c_98563,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_1593]) ).
tcf(c_98564,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_35903,c_5258]) ).
tcf(c_98565,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_4255]) ).
tcf(c_99036,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_60402]) ).
tcf(c_99037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_46063]) ).
tcf(c_99038,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_60131]) ).
tcf(c_99039,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_54017]) ).
tcf(c_99040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_39808]) ).
tcf(c_99041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50986,c_5022]) ).
tcf(c_99042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_37758]) ).
tcf(c_99043,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_35735]) ).
tcf(c_99044,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_35874]) ).
tcf(c_99045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50986,c_4827]) ).
tcf(c_99046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_4114]) ).
tcf(c_99047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_3710]) ).
tcf(c_99048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_3604]) ).
tcf(c_99049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_2541]) ).
tcf(c_99050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_1067]) ).
tcf(c_99051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_1036]) ).
tcf(c_99052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_2397]) ).
tcf(c_99053,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50986,c_993]) ).
tcf(c_99054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_69283]) ).
tcf(c_99055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_5025]) ).
tcf(c_99056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_4830]) ).
tcf(c_99057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1245]) ).
tcf(c_99058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1011]) ).
tcf(c_99059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_994]) ).
tcf(c_99060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_69286]) ).
tcf(c_99061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_5028]) ).
tcf(c_99062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_4833]) ).
tcf(c_99063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1267]) ).
tcf(c_99064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1023]) ).
tcf(c_99065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_995]) ).
tcf(c_99066,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1180]) ).
tcf(c_99068,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_24240]) ).
tcf(c_99069,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1205]) ).
tcf(c_99070,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)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1149]) ).
tcf(c_99072,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_1593]) ).
tcf(c_99073,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_50986,c_5258]) ).
tcf(c_99074,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_4255]) ).
tcf(c_99864,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_60402]) ).
tcf(c_99865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_46063]) ).
tcf(c_99866,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_60131]) ).
tcf(c_99867,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK4(sK2,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_54017]) ).
tcf(c_99868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_39808]) ).
tcf(c_99869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(inverse_image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_51377,c_5022]) ).
tcf(c_99870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X4)
| member(sK4(X2,X4),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_37758]) ).
tcf(c_99871,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)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_35735]) ).
tcf(c_99872,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_35874]) ).
tcf(c_99873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,image3(X2,X3,sK3)),X6)
| member(sK4(image3(X4,X5,image3(X2,X3,sK3)),X6),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_51377,c_4827]) ).
tcf(c_99874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_4114]) ).
tcf(c_99875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_3710]) ).
tcf(c_99876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X2)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_3604]) ).
tcf(c_99877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_2541]) ).
tcf(c_99878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_1067]) ).
tcf(c_99879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK1,X2),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_1036]) ).
tcf(c_99880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_2397]) ).
tcf(c_99881,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X2,X3,sK3),X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_51377,c_993]) ).
tcf(c_99882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_69283]) ).
tcf(c_99883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_5025]) ).
tcf(c_99884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_4830]) ).
tcf(c_99885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),sK4(image3(X0,X1,sK3),X5))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1245]) ).
tcf(c_99886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1011]) ).
tcf(c_99887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_994]) ).
tcf(c_99888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_69286]) ).
tcf(c_99889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(inverse_image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_5028]) ).
tcf(c_99890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK3)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK3)),X7),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_4833]) ).
tcf(c_99891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| apply(X2,sK4(image3(X0,X1,sK3),X5),sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1267]) ).
tcf(c_99892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK8(X2,X3,sK4(image3(X0,X1,sK3),X5)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1023]) ).
tcf(c_99893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK3),X5)
| member(sK4(image3(X0,X1,sK3),X5),X4)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),inverse_image3(X2,X3,X4)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_995]) ).
tcf(c_99894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1180]) ).
tcf(c_99896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_24240]) ).
tcf(c_99897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1205]) ).
tcf(c_99898,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)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),sK1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1149]) ).
tcf(c_99900,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK1,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_1593]) ).
tcf(c_99901,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,X0,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_51377,c_5258]) ).
tcf(c_99902,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(sK0,sK2,sK3),X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_4255]) ).
tcf(c_100779,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK0,sK7(sK0,sK1,sK6(sK0,sK1,X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_11690,c_3918,c_44477]) ).
tcf(c_100792,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK6(sK0,sK1,X0)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_100779]) ).
tcf(c_100888,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_12019,c_362,c_12019]) ).
tcf(c_100889,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(renaming,[status(thm)],[c_100888]) ).
tcf(c_100903,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_100889]) ).
tcf(c_100906,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_100889]) ).
tcf(c_100907,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = X0 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_100889]) ).
tcf(c_100908,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_100889]) ).
tcf(c_100909,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_100889]) ).
tcf(c_100910,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_100889]) ).
tcf(c_100911,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_100889]) ).
tcf(c_100912,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_100889]) ).
tcf(c_100918,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_100912,c_54901]) ).
tcf(c_100920,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK4(sK2,sK3)),sK1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_100911,c_50392]) ).
tcf(c_100976,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97096,c_55]) ).
tcf(c_100977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),sK7(sK0,sK1,sK4(sK3,X3)))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_65]) ).
tcf(c_100978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_64]) ).
tcf(c_100979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_63]) ).
tcf(c_100980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,sK1,sK4(sK3,X3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))))
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_69]) ).
tcf(c_100981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_68]) ).
tcf(c_100982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_97096,c_67]) ).
tcf(c_100983,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_65650]) ).
tcf(c_100984,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_85702]) ).
tcf(c_100985,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_84565]) ).
tcf(c_100986,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_83098]) ).
tcf(c_100987,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_82460]) ).
tcf(c_100988,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_63120]) ).
tcf(c_100989,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_62571]) ).
tcf(c_100990,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_62172]) ).
tcf(c_100991,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_61641]) ).
tcf(c_100992,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_57648]) ).
tcf(c_100993,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_57198]) ).
tcf(c_100994,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_56375]) ).
tcf(c_100995,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_55799]) ).
tcf(c_100996,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_55246]) ).
tcf(c_100997,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_53524]) ).
tcf(c_100998,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_52521]) ).
tcf(c_100999,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_59386]) ).
tcf(c_101000,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_58863]) ).
tcf(c_101001,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_58347]) ).
tcf(c_101002,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_58318]) ).
tcf(c_101003,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_51970]) ).
tcf(c_101004,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_51318]) ).
tcf(c_101005,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_50927]) ).
tcf(c_101006,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_48356]) ).
tcf(c_101007,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_47796]) ).
tcf(c_101008,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_47218]) ).
tcf(c_101009,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_46592]) ).
tcf(c_101010,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_46549]) ).
tcf(c_101011,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_22454]) ).
tcf(c_101012,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_21013]) ).
tcf(c_101013,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_17762]) ).
tcf(c_101014,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_16596]) ).
tcf(c_101015,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_16329]) ).
tcf(c_101016,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_16026]) ).
tcf(c_101017,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_19577]) ).
tcf(c_101018,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_14204]) ).
tcf(c_101019,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_13122]) ).
tcf(c_101020,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_3997]) ).
tcf(c_101021,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_5599]) ).
tcf(c_101022,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_3998]) ).
tcf(c_101023,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_1204]) ).
tcf(c_101024,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_1148]) ).
tcf(c_101025,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_97096,c_1111]) ).
tcf(c_101028,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_85681]) ).
tcf(c_101029,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_83116]) ).
tcf(c_101032,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_63099]) ).
tcf(c_101033,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_59404]) ).
tcf(c_101034,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_57627]) ).
tcf(c_101035,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_56354]) ).
tcf(c_101036,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_55778]) ).
tcf(c_101037,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_55225]) ).
tcf(c_101038,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_51988]) ).
tcf(c_101039,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_48374]) ).
tcf(c_101041,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_59365]) ).
tcf(c_101042,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_58365]) ).
tcf(c_101044,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_51949]) ).
tcf(c_101045,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_47814]) ).
tcf(c_101047,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_47775]) ).
tcf(c_101048,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_46610]) ).
tcf(c_101050,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_22437]) ).
tcf(c_101051,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_19101]) ).
tcf(c_101052,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_19098]) ).
tcf(c_101053,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_17745]) ).
tcf(c_101054,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_16312]) ).
tcf(c_101055,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_16009]) ).
tcf(c_101056,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_19099]) ).
tcf(c_101057,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_19102]) ).
tcf(c_101058,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_14187]) ).
tcf(c_101059,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_5588]) ).
tcf(c_101063,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_46048]) ).
tcf(c_101064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_6689]) ).
tcf(c_101065,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_5259]) ).
tcf(c_101066,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_6690]) ).
tcf(c_101067,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_4256]) ).
tcf(c_101068,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_5260]) ).
tcf(c_101069,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_4257]) ).
tcf(c_101070,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_1678]) ).
tcf(c_101071,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_1594]) ).
tcf(c_101072,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_1679]) ).
tcf(c_101073,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97096,c_1595]) ).
tcf(c_101075,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK1,image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_40260]) ).
tcf(c_101076,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ~ subset(sK1,inverse_image3(X1,X2,sK3))
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97096,c_40364]) ).
tcf(c_101879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_100979]) ).
tcf(c_101880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_100979]) ).
tcf(c_101881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_100979]) ).
tcf(c_101900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_24237,c_100982]) ).
tcf(c_101901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) ) ),
inference(superposition,[status(thm)],[c_1203,c_100982]) ).
tcf(c_101902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1147,c_100982]) ).
tcf(c_101979,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_81687,c_55]) ).
tcf(c_101980,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_65]) ).
tcf(c_101981,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_64]) ).
tcf(c_101982,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_63]) ).
tcf(c_101983,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_69]) ).
tcf(c_101984,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(X0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_68]) ).
tcf(c_101985,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_81687,c_67]) ).
tcf(c_101986,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_65650]) ).
tcf(c_101987,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_85702]) ).
tcf(c_101988,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_84565]) ).
tcf(c_101989,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_83098]) ).
tcf(c_101990,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_82460]) ).
tcf(c_101991,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_63120]) ).
tcf(c_101992,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_62571]) ).
tcf(c_101993,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_62172]) ).
tcf(c_101994,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_61641]) ).
tcf(c_101995,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_57648]) ).
tcf(c_101996,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_57198]) ).
tcf(c_101997,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_56375]) ).
tcf(c_101998,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_55799]) ).
tcf(c_101999,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_55246]) ).
tcf(c_102000,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_53524]) ).
tcf(c_102001,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_52521]) ).
tcf(c_102002,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_59386]) ).
tcf(c_102003,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_58863]) ).
tcf(c_102004,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_58347]) ).
tcf(c_102005,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_58318]) ).
tcf(c_102006,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_51970]) ).
tcf(c_102007,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_51318]) ).
tcf(c_102008,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_50927]) ).
tcf(c_102009,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_48356]) ).
tcf(c_102010,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_47796]) ).
tcf(c_102011,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_47218]) ).
tcf(c_102012,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_46592]) ).
tcf(c_102013,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_46549]) ).
tcf(c_102014,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_22454]) ).
tcf(c_102015,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_21013]) ).
tcf(c_102016,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_17762]) ).
tcf(c_102017,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_16596]) ).
tcf(c_102018,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_16329]) ).
tcf(c_102019,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_16026]) ).
tcf(c_102020,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_19577]) ).
tcf(c_102021,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_14204]) ).
tcf(c_102022,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_13122]) ).
tcf(c_102023,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_3997]) ).
tcf(c_102024,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_5599]) ).
tcf(c_102025,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_3998]) ).
tcf(c_102026,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1204]) ).
tcf(c_102027,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1148]) ).
tcf(c_102028,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1111]) ).
tcf(c_102029,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_86381]) ).
tcf(c_102030,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_63631]) ).
tcf(c_102031,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_85681]) ).
tcf(c_102032,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_83116]) ).
tcf(c_102033,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_83077]) ).
tcf(c_102034,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_82452]) ).
tcf(c_102035,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_63099]) ).
tcf(c_102036,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_59404]) ).
tcf(c_102037,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_57627]) ).
tcf(c_102038,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_56354]) ).
tcf(c_102039,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_55778]) ).
tcf(c_102040,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_55225]) ).
tcf(c_102041,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_51988]) ).
tcf(c_102042,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_48374]) ).
tcf(c_102043,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_61620]) ).
tcf(c_102044,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_59365]) ).
tcf(c_102045,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_58365]) ).
tcf(c_102046,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_58326]) ).
tcf(c_102047,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_51949]) ).
tcf(c_102048,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_47814]) ).
tcf(c_102049,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_48335]) ).
tcf(c_102050,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_47775]) ).
tcf(c_102051,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_46610]) ).
tcf(c_102052,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_46571]) ).
tcf(c_102053,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_22437]) ).
tcf(c_102054,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_19101]) ).
tcf(c_102055,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_19098]) ).
tcf(c_102056,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_17745]) ).
tcf(c_102057,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_16312]) ).
tcf(c_102058,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_16009]) ).
tcf(c_102059,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_19099]) ).
tcf(c_102060,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_19102]) ).
tcf(c_102061,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_14187]) ).
tcf(c_102062,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_5588]) ).
tcf(c_102063,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1826]) ).
tcf(c_102064,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1179]) ).
tcf(c_102065,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_1119]) ).
tcf(c_102067,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81687,c_6689]) ).
tcf(c_102068,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_5259]) ).
tcf(c_102069,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,X1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81687,c_6690]) ).
tcf(c_102070,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_4256]) ).
tcf(c_102071,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_5260]) ).
tcf(c_102072,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_4257]) ).
tcf(c_102073,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81687,c_1678]) ).
tcf(c_102074,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_1594]) ).
tcf(c_102075,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK1) ),
inference(superposition,[status(thm)],[c_81687,c_1679]) ).
tcf(c_102076,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))),sK2) ),
inference(superposition,[status(thm)],[c_81687,c_1595]) ).
tcf(c_102545,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_97133,c_55]) ).
tcf(c_102546,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_65650]) ).
tcf(c_102547,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_85702]) ).
tcf(c_102548,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_84565]) ).
tcf(c_102549,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_83098]) ).
tcf(c_102550,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_82460]) ).
tcf(c_102551,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_63120]) ).
tcf(c_102552,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_62571]) ).
tcf(c_102553,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_62172]) ).
tcf(c_102554,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_61641]) ).
tcf(c_102555,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_57648]) ).
tcf(c_102556,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_57198]) ).
tcf(c_102557,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_56375]) ).
tcf(c_102558,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_55799]) ).
tcf(c_102559,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_55246]) ).
tcf(c_102560,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_53524]) ).
tcf(c_102561,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_52521]) ).
tcf(c_102562,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_59386]) ).
tcf(c_102563,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_58863]) ).
tcf(c_102564,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_58347]) ).
tcf(c_102565,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_58318]) ).
tcf(c_102566,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_51970]) ).
tcf(c_102567,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_51318]) ).
tcf(c_102568,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_50927]) ).
tcf(c_102569,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_48356]) ).
tcf(c_102570,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_47796]) ).
tcf(c_102571,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_47218]) ).
tcf(c_102572,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_46592]) ).
tcf(c_102573,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_46549]) ).
tcf(c_102574,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_22454]) ).
tcf(c_102575,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_21013]) ).
tcf(c_102576,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_17762]) ).
tcf(c_102577,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_16596]) ).
tcf(c_102578,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_16329]) ).
tcf(c_102579,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_16026]) ).
tcf(c_102580,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_19577]) ).
tcf(c_102581,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_14204]) ).
tcf(c_102582,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_13122]) ).
tcf(c_102583,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_3997]) ).
tcf(c_102584,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_5599]) ).
tcf(c_102585,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_3998]) ).
tcf(c_102586,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_1204]) ).
tcf(c_102587,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_1148]) ).
tcf(c_102588,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_1111]) ).
tcf(c_102590,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97133,c_6689]) ).
tcf(c_102591,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97133,c_5259]) ).
tcf(c_102592,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97133,c_6690]) ).
tcf(c_102594,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97133,c_5260]) ).
tcf(c_102596,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97133,c_1678]) ).
tcf(c_102597,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97133,c_1594]) ).
tcf(c_102598,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_97133,c_1679]) ).
tcf(c_102599,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_97133,c_1595]) ).
tcf(c_103056,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_37524,c_60131]) ).
tcf(c_103059,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)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37524,c_5022]) ).
tcf(c_103060,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_37524,c_37758]) ).
tcf(c_103063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK1),X3)
| member(sK4(image3(X1,X2,sK1),X3),X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37524,c_4827]) ).
tcf(c_103064,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_37524,c_4114]) ).
tcf(c_103065,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK6(sK0,sK1,X0)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_37524,c_3710]) ).
tcf(c_103066,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_37524,c_3604]) ).
tcf(c_103068,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_37524,c_1067]) ).
tcf(c_103069,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_37524,c_1036]) ).
tcf(c_103071,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37524,c_993]) ).
tcf(c_103073,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) ) ),
inference(superposition,[status(thm)],[c_37524,c_1180]) ).
tcf(c_103074,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK1,X0))) = sK4(sK1,X0) ) ),
inference(superposition,[status(thm)],[c_37524,c_1120]) ).
tcf(c_103079,plain,
( member(sK7(sK0,sK1,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103056,c_948]) ).
tcf(c_103082,plain,
! [X0: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103069,c_948]) ).
tcf(c_103098,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103066,c_948]) ).
tcf(c_103137,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))) = sK8(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_38135]) ).
tcf(c_103138,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_38135]) ).
tcf(c_103139,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))))) = sK5(sK0,sK2,sK4(sK1,image3(X1,X2,sK3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_38135]) ).
tcf(c_103152,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),X1)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_12103,c_3918,c_12103]) ).
tcf(c_103153,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK1,X0) = X1 )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK6(sK0,sK1,X0)),X1) ),
inference(renaming,[status(thm)],[c_103152]) ).
tcf(c_103167,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK6(sK0,sK1,X0)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_103153]) ).
tcf(c_103202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12950,c_362]) ).
tcf(c_103221,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_353,c_103202]) ).
tcf(c_103223,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ subset(sK1,sK1)
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(superposition,[status(thm)],[c_22911,c_103202]) ).
tcf(c_103226,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ subset(sK1,sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_28733,c_103202]) ).
tcf(c_103227,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))),sK1) ),
inference(superposition,[status(thm)],[c_18107,c_103202]) ).
tcf(c_103228,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = X1 )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1) ),
inference(superposition,[status(thm)],[c_44158,c_103202]) ).
tcf(c_103229,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_32212,c_103202]) ).
tcf(c_103230,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_18091,c_103202]) ).
tcf(c_103231,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_18090,c_103202]) ).
tcf(c_103232,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_50392,c_103202]) ).
tcf(c_103233,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54901,c_103202]) ).
tcf(c_103234,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),sK1)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103223,c_948]) ).
tcf(c_103244,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,sK1,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK8(sK0,X0,sK7(sK0,sK1,sK5(sK0,sK2,X1))),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103226,c_948]) ).
tcf(c_103250,plain,
! [X0: $i,X1: $i] :
( ( sK4(sK2,sK3) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(light_normalisation,[status(thm)],[c_103233,c_54901]) ).
tcf(c_103252,plain,
! [X0: $i,X1: $i] :
( ( sK4(sK2,sK3) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),X1) ),
inference(light_normalisation,[status(thm)],[c_103232,c_50392]) ).
tcf(c_103310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(sK0,X0,sK6(sK0,sK1,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ apply(sK0,sK6(sK0,sK1,X1),X2)
| ~ member(sK8(sK0,X0,sK6(sK0,sK1,X1)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13011,c_319]) ).
tcf(c_103329,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_3320,c_103310]) ).
tcf(c_103332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(sK0,X2,sK6(sK0,sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ subset(sK2,X2)
| ~ subset(X2,sK2)
| ~ apply(sK0,sK6(sK0,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_9340,c_103310]) ).
tcf(c_103333,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50390,c_103310]) ).
tcf(c_103334,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = X0 )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(superposition,[status(thm)],[c_54913,c_103310]) ).
tcf(c_103342,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2)
| ~ member(sK4(sK2,sK3),sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(light_normalisation,[status(thm)],[c_103333,c_50390]) ).
tcf(c_103343,plain,
! [X0: $i] :
( ( sK4(sK2,sK3) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK4(sK2,sK3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103342,c_948,c_50560]) ).
tcf(c_103347,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ subset(sK2,sK2)
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(light_normalisation,[status(thm)],[c_103334,c_54913]) ).
tcf(c_103348,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103347,c_948,c_54737]) ).
tcf(c_103369,plain,
! [X0: $i,X1: $i] :
( ( sK8(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_2041,c_13055]) ).
tcf(c_103371,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ member(sK8(sK0,X1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))),X0) ),
inference(superposition,[status(thm)],[c_18107,c_13055]) ).
tcf(c_103372,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) )
| ( sK8(sK0,X1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK1)
| ~ member(sK8(sK0,X1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))),sK2)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))),X0) ),
inference(superposition,[status(thm)],[c_44158,c_13055]) ).
tcf(c_103373,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) = sK8(sK0,sK2,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2))) )
| ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK8(sK0,X1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_32212,c_13055]) ).
tcf(c_103374,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK8(sK0,X1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_18091,c_13055]) ).
tcf(c_103375,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK1)
| ~ member(sK8(sK0,X1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3)),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))),X0) ),
inference(superposition,[status(thm)],[c_18090,c_13055]) ).
tcf(c_103376,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK8(sK0,X1,sK4(sK2,sK3)),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))),X0) ),
inference(superposition,[status(thm)],[c_50392,c_13055]) ).
tcf(c_103377,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK8(sK0,X1,sK4(sK2,sK3)),sK2)
| ~ member(sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0) ),
inference(superposition,[status(thm)],[c_54901,c_13055]) ).
tcf(c_103379,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK4(sK2,sK3)) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ apply(sK0,sK4(sK2,sK3),X1)
| ~ member(sK7(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK8(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(light_normalisation,[status(thm)],[c_103377,c_54901]) ).
tcf(c_103380,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK4(sK2,sK3)) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ apply(sK0,sK4(sK2,sK3),X1)
| ~ member(sK8(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103379,c_50594]) ).
tcf(c_103387,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK4(sK2,sK3)) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK2,sK3),sK1)
| ~ apply(sK0,sK4(sK2,sK3),X1)
| ~ member(sK6(sK0,sK1,sK4(sK2,sK3)),sK1)
| ~ member(sK8(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(light_normalisation,[status(thm)],[c_103376,c_50392]) ).
tcf(c_103630,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))) = sK6(sK0,sK1,X0) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_100792,c_3918,c_4466,c_6800]) ).
tcf(c_103639,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) = sK6(sK0,sK1,sK4(sK2,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_103630]) ).
tcf(c_103640,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_103630]) ).
tcf(c_103641,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_103630]) ).
tcf(c_103642,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_103630]) ).
tcf(c_103643,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_103630]) ).
tcf(c_103644,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_103630]) ).
tcf(c_103646,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_103630]) ).
tcf(c_103647,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_103630]) ).
tcf(c_103648,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK6(sK0,sK1,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_103630]) ).
tcf(c_103649,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_103630]) ).
tcf(c_103650,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_103630]) ).
tcf(c_103651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_103630]) ).
tcf(c_103652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_103630]) ).
tcf(c_103653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_103630]) ).
tcf(c_103654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_103630]) ).
tcf(c_103655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_103630]) ).
tcf(c_103656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) = sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_103630]) ).
tcf(c_103657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_103630]) ).
tcf(c_103658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_103630]) ).
tcf(c_103659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_103630]) ).
tcf(c_103660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_103630]) ).
tcf(c_103661,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) = sK6(sK0,sK1,sK6(sK0,sK1,X0)) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_103630]) ).
tcf(c_103662,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) = sK6(sK0,sK1,sK4(X0,X1)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_103630]) ).
tcf(c_103663,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_103630]) ).
tcf(c_103664,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_103630]) ).
tcf(c_103665,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_103630]) ).
tcf(c_103666,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_103630]) ).
tcf(c_103667,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_103630]) ).
tcf(c_103668,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_103630]) ).
tcf(c_103669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X2)))) = sK6(sK0,sK1,sK4(sK3,X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_103630]) ).
tcf(c_103670,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) = sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_103630]) ).
tcf(c_103671,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) = sK6(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_103630]) ).
tcf(c_103672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_103630]) ).
tcf(c_103673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_103630]) ).
tcf(c_103674,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_103630]) ).
tcf(c_103676,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_103630]) ).
tcf(c_103678,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_103630]) ).
tcf(c_103679,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_103630]) ).
tcf(c_103680,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_103630]) ).
tcf(c_103681,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_103630]) ).
tcf(c_103683,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_103630]) ).
tcf(c_103684,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_103630]) ).
tcf(c_103685,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_103630]) ).
tcf(c_103686,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_103630]) ).
tcf(c_103687,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_103630]) ).
tcf(c_103688,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_103630]) ).
tcf(c_103689,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_103630]) ).
tcf(c_103690,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_103630]) ).
tcf(c_103691,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_103630]) ).
tcf(c_103692,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_103630]) ).
tcf(c_103693,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_103630]) ).
tcf(c_103694,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_103630]) ).
tcf(c_103695,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) = sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_103630]) ).
tcf(c_103696,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_103630]) ).
tcf(c_103697,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_103630]) ).
tcf(c_103698,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_103630]) ).
tcf(c_103699,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) = sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_103630]) ).
tcf(c_103700,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_103630]) ).
tcf(c_103701,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_103630]) ).
tcf(c_103703,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_103630]) ).
tcf(c_103704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_103630]) ).
tcf(c_103705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_103630]) ).
tcf(c_103706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_103630]) ).
tcf(c_103707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_103630]) ).
tcf(c_103708,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_103630]) ).
tcf(c_103709,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_103630]) ).
tcf(c_103710,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_103630]) ).
tcf(c_103711,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_103630]) ).
tcf(c_103712,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_103630]) ).
tcf(c_103713,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) = sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_103630]) ).
tcf(c_103714,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_103630]) ).
tcf(c_103715,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_103630]) ).
tcf(c_103716,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_103630]) ).
tcf(c_103718,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_103630]) ).
tcf(c_103719,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_103630]) ).
tcf(c_103720,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_103630]) ).
tcf(c_103721,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_103630]) ).
tcf(c_103722,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_103630]) ).
tcf(c_103723,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_103630]) ).
tcf(c_103724,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_103630]) ).
tcf(c_103726,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_103630]) ).
tcf(c_103727,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_103630]) ).
tcf(c_103728,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_103630]) ).
tcf(c_103729,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_103630]) ).
tcf(c_103730,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_103630]) ).
tcf(c_103731,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_103630]) ).
tcf(c_103732,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_103630]) ).
tcf(c_103733,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_103630]) ).
tcf(c_103734,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_103630]) ).
tcf(c_103737,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_103630]) ).
tcf(c_103738,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_103630]) ).
tcf(c_103739,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_103630]) ).
tcf(c_103740,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_103630]) ).
tcf(c_104267,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_100976]) ).
tcf(c_104268,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_100976]) ).
tcf(c_104269,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_100976]) ).
tcf(c_104270,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_46570,c_100976]) ).
tcf(c_104271,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1178,c_100976]) ).
tcf(c_104272,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2) ),
inference(superposition,[status(thm)],[c_1118,c_100976]) ).
tcf(c_104273,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_37524,c_100976]) ).
tcf(c_104274,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_100976]) ).
tcf(c_104275,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_100976]) ).
tcf(c_104276,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_100976]) ).
tcf(c_104277,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_100976]) ).
tcf(c_104278,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_100976]) ).
tcf(c_104280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_100976]) ).
tcf(c_104281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_100976]) ).
tcf(c_104282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),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)) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_100976]) ).
tcf(c_104283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_100976]) ).
tcf(c_104285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_100976]) ).
tcf(c_104286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_100976]) ).
tcf(c_104287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_100976]) ).
tcf(c_104288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_100976]) ).
tcf(c_104289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(sK0,sK1,sK4(sK3,X5)),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_100976]) ).
tcf(c_104290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(sK0,sK1,sK4(sK3,X5)),X4)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_100976]) ).
tcf(c_104291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(sK0,sK1,sK4(sK3,X5)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_100976]) ).
tcf(c_104292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK7(sK0,sK1,sK4(sK3,X5)),X4)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_100976]) ).
tcf(c_104293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_100976]) ).
tcf(c_104294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_100976]) ).
tcf(c_104295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_100976]) ).
tcf(c_104296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_100976]) ).
tcf(c_104297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_100976]) ).
tcf(c_104298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_100976]) ).
tcf(c_104299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK8(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)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_100976]) ).
tcf(c_104300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),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)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_100976]) ).
tcf(c_104301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_100976]) ).
tcf(c_104302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_100976]) ).
tcf(c_104303,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),sK2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_100976]) ).
tcf(c_104304,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_100976]) ).
tcf(c_104305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_100976]) ).
tcf(c_104306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),sK2)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_100976]) ).
tcf(c_104307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),sK2)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_100976]) ).
tcf(c_104308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),sK2)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_100976]) ).
tcf(c_104309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_100976]) ).
tcf(c_104310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK1,sK4(sK3,X4)),sK2)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_100976]) ).
tcf(c_104373,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104273,c_948]) ).
tcf(c_104385,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104267,c_948]) ).
tcf(c_104389,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104269,c_948]) ).
tcf(c_104419,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104268,c_948]) ).
tcf(c_104574,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_102545,c_55]) ).
tcf(c_104575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),sK7(sK0,sK1,sK4(sK3,X3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_65]) ).
tcf(c_104576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_64]) ).
tcf(c_104577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_63]) ).
tcf(c_104578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,sK1,sK4(sK3,X3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_69]) ).
tcf(c_104579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_68]) ).
tcf(c_104580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_102545,c_67]) ).
tcf(c_104581,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_103630]) ).
tcf(c_104582,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_65650]) ).
tcf(c_104583,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_85702]) ).
tcf(c_104584,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_84565]) ).
tcf(c_104585,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_83098]) ).
tcf(c_104586,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_82460]) ).
tcf(c_104587,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_63120]) ).
tcf(c_104588,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_62571]) ).
tcf(c_104589,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_62172]) ).
tcf(c_104590,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_61641]) ).
tcf(c_104591,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_57648]) ).
tcf(c_104592,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_57198]) ).
tcf(c_104593,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_56375]) ).
tcf(c_104594,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_55799]) ).
tcf(c_104595,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_55246]) ).
tcf(c_104596,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_53524]) ).
tcf(c_104597,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_52521]) ).
tcf(c_104598,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_59386]) ).
tcf(c_104599,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_58863]) ).
tcf(c_104600,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_58347]) ).
tcf(c_104601,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_58318]) ).
tcf(c_104602,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_51970]) ).
tcf(c_104603,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_51318]) ).
tcf(c_104604,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_50927]) ).
tcf(c_104605,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_48356]) ).
tcf(c_104606,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_47796]) ).
tcf(c_104607,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_47218]) ).
tcf(c_104608,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_46592]) ).
tcf(c_104609,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_46549]) ).
tcf(c_104610,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_22454]) ).
tcf(c_104611,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_21013]) ).
tcf(c_104612,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_17762]) ).
tcf(c_104613,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_16596]) ).
tcf(c_104614,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_16329]) ).
tcf(c_104615,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_16026]) ).
tcf(c_104616,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_19577]) ).
tcf(c_104617,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_14204]) ).
tcf(c_104618,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_13122]) ).
tcf(c_104619,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_3997]) ).
tcf(c_104620,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_5599]) ).
tcf(c_104621,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_3998]) ).
tcf(c_104622,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_1204]) ).
tcf(c_104623,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_1148]) ).
tcf(c_104624,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_1111]) ).
tcf(c_104627,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_85681]) ).
tcf(c_104628,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_83116]) ).
tcf(c_104631,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_63099]) ).
tcf(c_104632,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_59404]) ).
tcf(c_104633,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_57627]) ).
tcf(c_104634,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_56354]) ).
tcf(c_104635,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_55778]) ).
tcf(c_104636,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_55225]) ).
tcf(c_104637,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_51988]) ).
tcf(c_104638,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_48374]) ).
tcf(c_104640,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_59365]) ).
tcf(c_104641,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_58365]) ).
tcf(c_104643,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_51949]) ).
tcf(c_104644,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_47814]) ).
tcf(c_104646,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_47775]) ).
tcf(c_104647,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_46610]) ).
tcf(c_104649,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_22437]) ).
tcf(c_104650,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_19101]) ).
tcf(c_104651,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_19098]) ).
tcf(c_104652,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_17745]) ).
tcf(c_104653,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_16312]) ).
tcf(c_104654,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_16009]) ).
tcf(c_104655,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_19099]) ).
tcf(c_104656,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_19102]) ).
tcf(c_104657,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_14187]) ).
tcf(c_104658,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_5588]) ).
tcf(c_104662,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_46048]) ).
tcf(c_104663,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_102545,c_6689]) ).
tcf(c_104664,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_5259]) ).
tcf(c_104665,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X2,sK7(sK0,sK1,sK4(sK3,X0))),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_102545,c_6690]) ).
tcf(c_104666,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_4256]) ).
tcf(c_104667,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_5260]) ).
tcf(c_104668,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_4257]) ).
tcf(c_104669,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_102545,c_1678]) ).
tcf(c_104670,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_1594]) ).
tcf(c_104671,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_102545,c_1679]) ).
tcf(c_104672,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_102545,c_1595]) ).
tcf(c_105175,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_64454]) ).
tcf(c_105176,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_64454]) ).
tcf(c_105177,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_64454]) ).
tcf(c_105178,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_64454]) ).
tcf(c_105179,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_64454]) ).
tcf(c_105180,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_64454]) ).
tcf(c_105181,plain,
( member(sK7(sK0,sK2,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37524,c_64454]) ).
tcf(c_105188,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_64454]) ).
tcf(c_105189,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_64454]) ).
tcf(c_105190,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),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)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_64454]) ).
tcf(c_105191,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_64454]) ).
tcf(c_105193,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_64454]) ).
tcf(c_105194,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_64454]) ).
tcf(c_105195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_64454]) ).
tcf(c_105196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_64454]) ).
tcf(c_105197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_64454]) ).
tcf(c_105198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_64454]) ).
tcf(c_105199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_64454]) ).
tcf(c_105200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_64454]) ).
tcf(c_105201,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_64454]) ).
tcf(c_105202,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_64454]) ).
tcf(c_105203,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_64454]) ).
tcf(c_105204,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_64454]) ).
tcf(c_105205,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_64454]) ).
tcf(c_105206,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_64454]) ).
tcf(c_105207,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK8(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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_64454]) ).
tcf(c_105208,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_64454]) ).
tcf(c_105209,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_64454]) ).
tcf(c_105210,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_64454]) ).
tcf(c_105247,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105180,c_948]) ).
tcf(c_105251,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105178,c_948]) ).
tcf(c_105271,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105179,c_948]) ).
tcf(c_105600,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24237,c_69280]) ).
tcf(c_105601,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1203,c_69280]) ).
tcf(c_105602,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1147,c_69280]) ).
tcf(c_105603,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46570,c_69280]) ).
tcf(c_105604,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_69280]) ).
tcf(c_105605,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1118,c_69280]) ).
tcf(c_105606,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_37524,c_69280]) ).
tcf(c_105607,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_44137,c_69280]) ).
tcf(c_105608,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_32162,c_69280]) ).
tcf(c_105609,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3584,c_69280]) ).
tcf(c_105610,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2566,c_69280]) ).
tcf(c_105611,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1911,c_69280]) ).
tcf(c_105613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_69280]) ).
tcf(c_105614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_69280]) ).
tcf(c_105615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) )
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_69280]) ).
tcf(c_105616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_69280]) ).
tcf(c_105618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_69280]) ).
tcf(c_105619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_69280]) ).
tcf(c_105620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),X4)
| ~ subset(X3,X4)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_69280]) ).
tcf(c_105621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),X4)
| ~ subset(X3,X4)
| ~ subset(X2,X3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_69280]) ).
tcf(c_105622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)),X5)
| ~ subset(X4,X5)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_69280]) ).
tcf(c_105623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),sK4(sK2,sK3)),X5)
| ~ subset(X4,X5)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_69280]) ).
tcf(c_105624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),sK4(sK2,sK3)),X5)
| ~ subset(X4,X5)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_69280]) ).
tcf(c_105625,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)),sK4(sK2,sK3)),X5)
| ~ subset(X4,X5)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_69280]) ).
tcf(c_105626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_69280]) ).
tcf(c_105627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_69280]) ).
tcf(c_105628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_69280]) ).
tcf(c_105629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_69280]) ).
tcf(c_105630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_69280]) ).
tcf(c_105631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_69280]) ).
tcf(c_105632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK8(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)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_69280]) ).
tcf(c_105633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( 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)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_69280]) ).
tcf(c_105634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_69280]) ).
tcf(c_105635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X3)
| ~ subset(sK2,X2)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_69280]) ).
tcf(c_105636,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK4(sK2,sK3)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37533,c_69280]) ).
tcf(c_105637,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,sK3),sK4(sK2,sK3)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK1,inverse_image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_37538,c_69280]) ).
tcf(c_105638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK4(sK2,sK3)),X3)
| ~ subset(sK2,X3)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37539,c_69280]) ).
tcf(c_105639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK2,sK3)),X3)
| ~ subset(sK2,X3)
| ~ subset(X2,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_37540,c_69280]) ).
tcf(c_105640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),X4)
| ~ subset(sK2,X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37541,c_69280]) ).
tcf(c_105641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),X4)
| ~ subset(sK2,X4)
| ~ subset(sK1,image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37542,c_69280]) ).
tcf(c_105642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,sK3)),sK4(sK2,sK3)),X4)
| ~ subset(sK2,X4)
| ~ subset(sK1,inverse_image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37543,c_69280]) ).
tcf(c_105643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3)),sK4(sK2,sK3)),X4)
| ~ subset(sK2,X4)
| ~ subset(sK1,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_37544,c_69280]) ).
tcf(c_105706,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105606,c_948]) ).
tcf(c_105718,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105600,c_948]) ).
tcf(c_105722,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105602,c_948]) ).
tcf(c_105752,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105601,c_948]) ).
tcf(c_105959,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))) = sK8(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_24237,c_38258]) ).
tcf(c_105960,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1203,c_38258]) ).
tcf(c_105961,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK1,X0),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))))) = sK5(sK0,sK2,sK4(sK1,inverse_image3(X1,X2,sK3))) )
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_1147,c_38258]) ).
tcf(c_105997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK7(sK0,sK1,sK4(image3(X1,X2,sK3),X3)),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38536,c_55]) ).
tcf(c_105998,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_86381]) ).
tcf(c_105999,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_63631]) ).
tcf(c_106000,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_85681]) ).
tcf(c_106001,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_83116]) ).
tcf(c_106002,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_83077]) ).
tcf(c_106003,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_38536,c_82452]) ).
tcf(c_106004,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_63099]) ).
tcf(c_106005,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_59404]) ).
tcf(c_106006,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_57627]) ).
tcf(c_106007,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_56354]) ).
tcf(c_106008,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_55778]) ).
tcf(c_106009,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_55225]) ).
tcf(c_106010,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_51988]) ).
tcf(c_106011,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_48374]) ).
tcf(c_106012,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_61620]) ).
tcf(c_106013,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_59365]) ).
tcf(c_106014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_58365]) ).
tcf(c_106015,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_58326]) ).
tcf(c_106016,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_51949]) ).
tcf(c_106017,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_47814]) ).
tcf(c_106018,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_48335]) ).
tcf(c_106019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_47775]) ).
tcf(c_106020,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_46610]) ).
tcf(c_106021,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_38536,c_46571]) ).
tcf(c_106022,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_22437]) ).
tcf(c_106023,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_19101]) ).
tcf(c_106024,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_19098]) ).
tcf(c_106025,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_17745]) ).
tcf(c_106026,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_16312]) ).
tcf(c_106027,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_16009]) ).
tcf(c_106028,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_19099]) ).
tcf(c_106029,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_19102]) ).
tcf(c_106030,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_14187]) ).
tcf(c_106031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_5588]) ).
tcf(c_106032,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_1826]) ).
tcf(c_106033,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) ) ),
inference(superposition,[status(thm)],[c_38536,c_1179]) ).
tcf(c_106034,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) ) ),
inference(superposition,[status(thm)],[c_38536,c_1119]) ).
tcf(c_106035,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_46048]) ).
tcf(c_106036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK8(sK0,X3,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))
| ~ subset(sK2,X3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1) ),
inference(superposition,[status(thm)],[c_38536,c_6689]) ).
tcf(c_106037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,X3,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))
| ~ subset(sK1,X3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_5259]) ).
tcf(c_106038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,X3,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),X3)
| ~ subset(sK2,X3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1) ),
inference(superposition,[status(thm)],[c_38536,c_6690]) ).
tcf(c_106039,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_4256]) ).
tcf(c_106040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,X3,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),X3)
| ~ subset(sK1,X3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_5260]) ).
tcf(c_106041,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_4257]) ).
tcf(c_106042,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1) ),
inference(superposition,[status(thm)],[c_38536,c_1678]) ).
tcf(c_106043,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_1594]) ).
tcf(c_106044,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK2)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK1) ),
inference(superposition,[status(thm)],[c_38536,c_1679]) ).
tcf(c_106045,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))),sK1)
| ~ member(sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)),sK2) ),
inference(superposition,[status(thm)],[c_38536,c_1595]) ).
tcf(c_106364,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46602,c_69280]) ).
tcf(c_106366,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_100976]) ).
tcf(c_106368,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_46063]) ).
tcf(c_106369,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_60131]) ).
tcf(c_106371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_46602,c_39808]) ).
tcf(c_106372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46602,c_5022]) ).
tcf(c_106374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_46602,c_35735]) ).
tcf(c_106376,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46602,c_4827]) ).
tcf(c_106379,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_46602,c_3604]) ).
tcf(c_106380,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_46602,c_2541]) ).
tcf(c_106382,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,X0),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_46602,c_1036]) ).
tcf(c_106384,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_46602,c_993]) ).
tcf(c_106385,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK3,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_46602,c_16955]) ).
tcf(c_106386,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_69283]) ).
tcf(c_106387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_5025]) ).
tcf(c_106388,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_4830]) ).
tcf(c_106389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_1245]) ).
tcf(c_106390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_1011]) ).
tcf(c_106391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_994]) ).
tcf(c_106392,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_69286]) ).
tcf(c_106393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_5028]) ).
tcf(c_106394,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_4833]) ).
tcf(c_106395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK8(X0,X1,sK4(sK3,X3)))
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_1267]) ).
tcf(c_106396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK4(sK3,X3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_1023]) ).
tcf(c_106397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46602,c_995]) ).
tcf(c_106398,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_46602,c_1180]) ).
tcf(c_106399,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_46602,c_1120]) ).
tcf(c_106400,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) ) ),
inference(superposition,[status(thm)],[c_46602,c_24240]) ).
tcf(c_106401,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) ) ),
inference(superposition,[status(thm)],[c_46602,c_1205]) ).
tcf(c_106402,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) ) ),
inference(superposition,[status(thm)],[c_46602,c_1149]) ).
tcf(c_106666,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK1,sK4(sK3,X2)),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_104278,c_55]) ).
tcf(c_106667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),sK7(sK0,sK1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_65]) ).
tcf(c_106668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_64]) ).
tcf(c_106669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,X2)))) = sK4(sK3,image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_63]) ).
tcf(c_106670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,sK1,sK4(sK3,X3)),sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_69]) ).
tcf(c_106671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK8(X0,X1,sK7(sK0,sK1,sK4(sK3,X3))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_68]) ).
tcf(c_106672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK1,sK4(sK3,X3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,X2)))) = sK4(sK3,inverse_image3(X0,X1,X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_67]) ).
tcf(c_106673,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_103630]) ).
tcf(c_106674,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_65650]) ).
tcf(c_106675,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_85702]) ).
tcf(c_106676,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_84565]) ).
tcf(c_106677,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_83098]) ).
tcf(c_106678,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_82460]) ).
tcf(c_106679,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_63120]) ).
tcf(c_106680,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_62571]) ).
tcf(c_106681,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_62172]) ).
tcf(c_106682,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_61641]) ).
tcf(c_106683,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_57648]) ).
tcf(c_106684,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_57198]) ).
tcf(c_106685,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_56375]) ).
tcf(c_106686,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_55799]) ).
tcf(c_106687,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_55246]) ).
tcf(c_106688,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_53524]) ).
tcf(c_106689,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_52521]) ).
tcf(c_106690,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_59386]) ).
tcf(c_106691,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_58863]) ).
tcf(c_106692,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_58347]) ).
tcf(c_106693,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_58318]) ).
tcf(c_106694,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_51970]) ).
tcf(c_106695,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_51318]) ).
tcf(c_106696,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_50927]) ).
tcf(c_106697,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_48356]) ).
tcf(c_106698,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_47796]) ).
tcf(c_106699,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_47218]) ).
tcf(c_106700,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_46592]) ).
tcf(c_106701,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_46549]) ).
tcf(c_106702,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_22454]) ).
tcf(c_106703,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_21013]) ).
tcf(c_106704,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_17762]) ).
tcf(c_106705,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_16596]) ).
tcf(c_106706,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_16329]) ).
tcf(c_106707,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_16026]) ).
tcf(c_106708,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_19577]) ).
tcf(c_106709,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_14204]) ).
tcf(c_106710,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_13122]) ).
tcf(c_106711,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_3997]) ).
tcf(c_106712,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_5599]) ).
tcf(c_106713,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_3998]) ).
tcf(c_106714,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1204]) ).
tcf(c_106715,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1148]) ).
tcf(c_106716,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK1,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1111]) ).
tcf(c_106717,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_86381]) ).
tcf(c_106718,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_63631]) ).
tcf(c_106719,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_85681]) ).
tcf(c_106720,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_83116]) ).
tcf(c_106721,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_83077]) ).
tcf(c_106722,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_82452]) ).
tcf(c_106723,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_63099]) ).
tcf(c_106724,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_59404]) ).
tcf(c_106725,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_57627]) ).
tcf(c_106726,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_56354]) ).
tcf(c_106727,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_55778]) ).
tcf(c_106728,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_55225]) ).
tcf(c_106729,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_51988]) ).
tcf(c_106730,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_48374]) ).
tcf(c_106731,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_61620]) ).
tcf(c_106732,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_59365]) ).
tcf(c_106733,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_58365]) ).
tcf(c_106734,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_58326]) ).
tcf(c_106735,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_51949]) ).
tcf(c_106736,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_47814]) ).
tcf(c_106737,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_48335]) ).
tcf(c_106738,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_47775]) ).
tcf(c_106739,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_46610]) ).
tcf(c_106740,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_46571]) ).
tcf(c_106741,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_22437]) ).
tcf(c_106742,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_19101]) ).
tcf(c_106743,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_19098]) ).
tcf(c_106744,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_17745]) ).
tcf(c_106745,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_16312]) ).
tcf(c_106746,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_16009]) ).
tcf(c_106747,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_19099]) ).
tcf(c_106748,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_19102]) ).
tcf(c_106749,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_14187]) ).
tcf(c_106750,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_5588]) ).
tcf(c_106751,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1826]) ).
tcf(c_106752,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1179]) ).
tcf(c_106753,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_1119]) ).
tcf(c_106754,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_46048]) ).
tcf(c_106755,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_6689]) ).
tcf(c_106756,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_5259]) ).
tcf(c_106757,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK8(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_6690]) ).
tcf(c_106758,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_4256]) ).
tcf(c_106759,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK1,sK4(sK3,X0))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X2))) = sK4(sK3,X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_5260]) ).
tcf(c_106760,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_4257]) ).
tcf(c_106761,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK4(sK3,X0)),sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_1678]) ).
tcf(c_106762,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK7(sK0,sK1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_1594]) ).
tcf(c_106763,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_1679]) ).
tcf(c_106764,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))),sK1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X1))) = sK4(sK3,X1) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_104278,c_1595]) ).
tcf(c_106766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_40260]) ).
tcf(c_106767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK1,sK4(sK3,X0)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK3)))) = sK4(sK3,inverse_image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ member(sK7(sK0,sK1,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_104278,c_40364]) ).
tcf(c_107607,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_103640]) ).
tcf(c_107608,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_103640]) ).
tcf(c_107609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_103640]) ).
tcf(c_107610,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_103640]) ).
tcf(c_107611,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_103640]) ).
tcf(c_107612,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_103640]) ).
tcf(c_107614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_103640]) ).
tcf(c_107615,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_103640]) ).
tcf(c_107616,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_103640]) ).
tcf(c_107617,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_103640]) ).
tcf(c_107618,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_103640]) ).
tcf(c_107619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_103640]) ).
tcf(c_107620,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(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_103640]) ).
tcf(c_107621,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_103640]) ).
tcf(c_107622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_103640]) ).
tcf(c_107623,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_103640]) ).
tcf(c_107624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_103640]) ).
tcf(c_107625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_103640]) ).
tcf(c_107626,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_103640]) ).
tcf(c_107627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_103640]) ).
tcf(c_107628,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,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_103640]) ).
tcf(c_107629,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_103640]) ).
tcf(c_107630,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_103640]) ).
tcf(c_107632,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_103640]) ).
tcf(c_107633,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_103640]) ).
tcf(c_107634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_103640]) ).
tcf(c_107635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_103640]) ).
tcf(c_107636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_103640]) ).
tcf(c_107637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_103640]) ).
tcf(c_107638,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_103640]) ).
tcf(c_107639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_103640]) ).
tcf(c_107640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_103640]) ).
tcf(c_107642,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_103640]) ).
tcf(c_107644,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_103640]) ).
tcf(c_107646,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_103640]) ).
tcf(c_107647,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_103640]) ).
tcf(c_107648,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_103640]) ).
tcf(c_107649,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_103640]) ).
tcf(c_107650,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_103640]) ).
tcf(c_107651,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_103640]) ).
tcf(c_107652,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_103640]) ).
tcf(c_107653,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_103640]) ).
tcf(c_107654,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_103640]) ).
tcf(c_107655,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_103640]) ).
tcf(c_107656,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_103640]) ).
tcf(c_107657,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_103640]) ).
tcf(c_107658,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_103640]) ).
tcf(c_107659,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_103640]) ).
tcf(c_107660,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_103640]) ).
tcf(c_107661,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_103640]) ).
tcf(c_107662,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_103640]) ).
tcf(c_107663,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_103640]) ).
tcf(c_107664,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_103640]) ).
tcf(c_107665,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_103640]) ).
tcf(c_107666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_103640]) ).
tcf(c_107667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_103640]) ).
tcf(c_107668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_103640]) ).
tcf(c_107669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_103640]) ).
tcf(c_107670,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_103640]) ).
tcf(c_107671,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_103640]) ).
tcf(c_107672,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_103640]) ).
tcf(c_107673,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_103640]) ).
tcf(c_107674,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_103640]) ).
tcf(c_107676,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_103640]) ).
tcf(c_107677,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_103640]) ).
tcf(c_107678,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_103640]) ).
tcf(c_107679,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_103640]) ).
tcf(c_107680,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_103640]) ).
tcf(c_107681,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_103640]) ).
tcf(c_107682,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_103640]) ).
tcf(c_107683,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_103640]) ).
tcf(c_107684,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_103640]) ).
tcf(c_107685,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_103640]) ).
tcf(c_107686,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_103640]) ).
tcf(c_107687,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_103640]) ).
tcf(c_107688,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_103640]) ).
tcf(c_107689,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_103640]) ).
tcf(c_107690,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_103640]) ).
tcf(c_107691,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_103640]) ).
tcf(c_107692,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_103640]) ).
tcf(c_107693,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_103640]) ).
tcf(c_107718,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_107681,c_54901]) ).
tcf(c_107723,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) = sK6(sK0,sK1,sK4(sK2,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_107673,c_54901]) ).
tcf(c_107873,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_107688,c_83199]) ).
tcf(c_107916,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107662,c_948]) ).
tcf(c_108514,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_103661]) ).
tcf(c_108515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_103661]) ).
tcf(c_108516,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_103661]) ).
tcf(c_108517,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_103661]) ).
tcf(c_108518,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_103661]) ).
tcf(c_108519,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_103661]) ).
tcf(c_108521,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_103661]) ).
tcf(c_108522,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_103661]) ).
tcf(c_108523,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_103661]) ).
tcf(c_108524,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_103661]) ).
tcf(c_108525,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_103661]) ).
tcf(c_108526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_103661]) ).
tcf(c_108527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_103661]) ).
tcf(c_108528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_103661]) ).
tcf(c_108529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_103661]) ).
tcf(c_108530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_103661]) ).
tcf(c_108531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_103661]) ).
tcf(c_108532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_103661]) ).
tcf(c_108533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_103661]) ).
tcf(c_108534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_103661]) ).
tcf(c_108535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_103661]) ).
tcf(c_108536,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_103661]) ).
tcf(c_108537,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_103661]) ).
tcf(c_108538,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_103661]) ).
tcf(c_108539,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_103661]) ).
tcf(c_108540,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_103661]) ).
tcf(c_108541,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_103661]) ).
tcf(c_108542,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_103661]) ).
tcf(c_108543,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_103661]) ).
tcf(c_108544,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_103661]) ).
tcf(c_108545,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_103661]) ).
tcf(c_108546,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_103661]) ).
tcf(c_108547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_103661]) ).
tcf(c_108548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_103661]) ).
tcf(c_108549,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_103661]) ).
tcf(c_108551,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_103661]) ).
tcf(c_108553,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_103661]) ).
tcf(c_108554,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_103661]) ).
tcf(c_108555,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_103661]) ).
tcf(c_108556,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_103661]) ).
tcf(c_108558,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_103661]) ).
tcf(c_108559,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_103661]) ).
tcf(c_108560,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_103661]) ).
tcf(c_108561,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_103661]) ).
tcf(c_108562,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_103661]) ).
tcf(c_108563,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_103661]) ).
tcf(c_108564,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_103661]) ).
tcf(c_108565,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_103661]) ).
tcf(c_108566,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_103661]) ).
tcf(c_108567,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_103661]) ).
tcf(c_108568,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_103661]) ).
tcf(c_108569,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_103661]) ).
tcf(c_108570,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_103661]) ).
tcf(c_108571,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_103661]) ).
tcf(c_108572,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_103661]) ).
tcf(c_108573,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_103661]) ).
tcf(c_108574,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_103661]) ).
tcf(c_108575,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_103661]) ).
tcf(c_108576,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_103661]) ).
tcf(c_108577,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_103661]) ).
tcf(c_108578,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_103661]) ).
tcf(c_108580,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_103661]) ).
tcf(c_108581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_103661]) ).
tcf(c_108582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_103661]) ).
tcf(c_108583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_103661]) ).
tcf(c_108584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_103661]) ).
tcf(c_108585,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_103661]) ).
tcf(c_108586,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_103661]) ).
tcf(c_108587,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_103661]) ).
tcf(c_108588,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_103661]) ).
tcf(c_108589,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_103661]) ).
tcf(c_108590,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_103661]) ).
tcf(c_108591,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_103661]) ).
tcf(c_108592,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_103661]) ).
tcf(c_108593,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_103661]) ).
tcf(c_108595,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_103661]) ).
tcf(c_108596,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_103661]) ).
tcf(c_108597,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_103661]) ).
tcf(c_108598,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_103661]) ).
tcf(c_108599,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_103661]) ).
tcf(c_108600,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_103661]) ).
tcf(c_108601,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_103661]) ).
tcf(c_108603,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_103661]) ).
tcf(c_108604,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_103661]) ).
tcf(c_108605,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_103661]) ).
tcf(c_108606,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_103661]) ).
tcf(c_108607,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_103661]) ).
tcf(c_108608,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_103661]) ).
tcf(c_108609,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_103661]) ).
tcf(c_108610,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_103661]) ).
tcf(c_108611,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_103661]) ).
tcf(c_108614,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_103661]) ).
tcf(c_108615,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_103661]) ).
tcf(c_108616,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_103661]) ).
tcf(c_108617,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_103661]) ).
tcf(c_109133,plain,
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_105611]) ).
tcf(c_109134,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_948,c_105611]) ).
tcf(c_109135,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_105611]) ).
tcf(c_109136,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_105611]) ).
tcf(c_109137,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_105611]) ).
tcf(c_109138,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_105611]) ).
tcf(c_109139,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_105611]) ).
tcf(c_109140,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_105611]) ).
tcf(c_109141,plain,
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37524,c_105611]) ).
tcf(c_109142,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46602,c_105611]) ).
tcf(c_109143,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_44137,c_105611]) ).
tcf(c_109144,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK8(sK0,sK2,sK4(sK3,X0)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_32162,c_105611]) ).
tcf(c_109145,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3584,c_105611]) ).
tcf(c_109146,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2566,c_105611]) ).
tcf(c_109147,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1911,c_105611]) ).
tcf(c_109149,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1385,c_105611]) ).
tcf(c_109150,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK2)))) = sK4(sK3,image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1384,c_105611]) ).
tcf(c_109151,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1387,c_105611]) ).
tcf(c_109152,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1386,c_105611]) ).
tcf(c_109154,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1473,c_105611]) ).
tcf(c_109155,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK2)))) = sK4(sK3,inverse_image3(X0,X1,sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1472,c_105611]) ).
tcf(c_109162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_51377,c_105611]) ).
tcf(c_109163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50986,c_105611]) ).
tcf(c_109164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35903,c_105611]) ).
tcf(c_109165,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35901,c_105611]) ).
tcf(c_109166,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_82519,c_105611]) ).
tcf(c_109167,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_58922,c_105611]) ).
tcf(c_109168,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( sK8(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)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_47280,c_105611]) ).
tcf(c_109169,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ( 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)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35906,c_105611]) ).
tcf(c_109170,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK3)))) = sK4(sK3,image3(X0,X1,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35917,c_105611]) ).
tcf(c_109171,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK3)))) = sK4(sK3,image3(X1,X2,sK3)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_35873,c_105611]) ).
tcf(c_109176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37541,c_105611]) ).
tcf(c_109177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,image3(X0,X1,inverse_image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37542,c_105611]) ).
tcf(c_109178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37543,c_105611]) ).
tcf(c_109179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))))) = sK4(sK3,inverse_image3(X0,X1,inverse_image3(X2,X3,sK3))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37544,c_105611]) ).
tcf(c_123842,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_103680]) ).
tcf(c_123843,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_103680]) ).
tcf(c_123844,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_103680]) ).
tcf(c_123845,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_103680]) ).
tcf(c_123846,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_103680]) ).
tcf(c_123847,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_103680]) ).
tcf(c_123849,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_103680]) ).
tcf(c_123850,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_103680]) ).
tcf(c_123851,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_103680]) ).
tcf(c_123852,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_103680]) ).
tcf(c_123853,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_103680]) ).
tcf(c_123854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_103680]) ).
tcf(c_123855,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(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_103680]) ).
tcf(c_123856,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_103680]) ).
tcf(c_123857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_103680]) ).
tcf(c_123858,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_103680]) ).
tcf(c_123859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_103680]) ).
tcf(c_123860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_103680]) ).
tcf(c_123861,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_103680]) ).
tcf(c_123862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_103680]) ).
tcf(c_123863,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,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_103680]) ).
tcf(c_123864,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_103680]) ).
tcf(c_123865,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_103680]) ).
tcf(c_123867,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_103680]) ).
tcf(c_123868,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_103680]) ).
tcf(c_123869,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_103680]) ).
tcf(c_123870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_103680]) ).
tcf(c_123871,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_103680]) ).
tcf(c_123872,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_103680]) ).
tcf(c_123873,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_103680]) ).
tcf(c_123874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_103680]) ).
tcf(c_123875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_103680]) ).
tcf(c_123877,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_103680]) ).
tcf(c_123879,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_103680]) ).
tcf(c_123881,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_103680]) ).
tcf(c_123882,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_103680]) ).
tcf(c_123883,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_103680]) ).
tcf(c_123884,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_103680]) ).
tcf(c_123885,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_103680]) ).
tcf(c_123886,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_103680]) ).
tcf(c_123887,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_103680]) ).
tcf(c_123888,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_103680]) ).
tcf(c_123889,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_103680]) ).
tcf(c_123890,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_103680]) ).
tcf(c_123891,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_103680]) ).
tcf(c_123892,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_103680]) ).
tcf(c_123893,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_103680]) ).
tcf(c_123894,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_103680]) ).
tcf(c_123895,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_103680]) ).
tcf(c_123896,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_103680]) ).
tcf(c_123897,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_103680]) ).
tcf(c_123898,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_103680]) ).
tcf(c_123899,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_103680]) ).
tcf(c_123900,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_103680]) ).
tcf(c_123901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_103680]) ).
tcf(c_123902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_103680]) ).
tcf(c_123903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_103680]) ).
tcf(c_123904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_103680]) ).
tcf(c_123905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_103680]) ).
tcf(c_123906,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_103680]) ).
tcf(c_123907,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_103680]) ).
tcf(c_123908,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_103680]) ).
tcf(c_123909,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_103680]) ).
tcf(c_123911,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_103680]) ).
tcf(c_123912,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_103680]) ).
tcf(c_123913,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_103680]) ).
tcf(c_123914,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_103680]) ).
tcf(c_123915,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_103680]) ).
tcf(c_123916,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_103680]) ).
tcf(c_123917,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_103680]) ).
tcf(c_123918,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_103680]) ).
tcf(c_123919,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_103680]) ).
tcf(c_123920,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_103680]) ).
tcf(c_123921,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_103680]) ).
tcf(c_123922,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_103680]) ).
tcf(c_123923,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_103680]) ).
tcf(c_123924,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_103680]) ).
tcf(c_123925,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_103680]) ).
tcf(c_123926,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_103680]) ).
tcf(c_123927,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_103680]) ).
tcf(c_123928,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_103680]) ).
tcf(c_123953,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_123916,c_54901]) ).
tcf(c_123958,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_123908,c_54901]) ).
tcf(c_124051,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_123918,c_83199]) ).
tcf(c_124110,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_123923,c_83199]) ).
tcf(c_124153,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123897,c_948]) ).
tcf(c_124415,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_107608]) ).
tcf(c_124416,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_107608]) ).
tcf(c_124417,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_107608]) ).
tcf(c_124418,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_107608]) ).
tcf(c_124419,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_107608]) ).
tcf(c_124420,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_107608]) ).
tcf(c_124422,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_107608]) ).
tcf(c_124423,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_107608]) ).
tcf(c_124424,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_107608]) ).
tcf(c_124425,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_107608]) ).
tcf(c_124426,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_107608]) ).
tcf(c_124427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_107608]) ).
tcf(c_124428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_107608]) ).
tcf(c_124429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_107608]) ).
tcf(c_124430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_107608]) ).
tcf(c_124431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_107608]) ).
tcf(c_124432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_107608]) ).
tcf(c_124433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_107608]) ).
tcf(c_124434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_107608]) ).
tcf(c_124435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_107608]) ).
tcf(c_124436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_107608]) ).
tcf(c_124437,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_107608]) ).
tcf(c_124438,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_107608]) ).
tcf(c_124439,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_107608]) ).
tcf(c_124440,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_107608]) ).
tcf(c_124441,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_107608]) ).
tcf(c_124442,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_107608]) ).
tcf(c_124443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_107608]) ).
tcf(c_124444,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_107608]) ).
tcf(c_124445,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_107608]) ).
tcf(c_124446,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_107608]) ).
tcf(c_124447,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_107608]) ).
tcf(c_124448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_107608]) ).
tcf(c_124449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_107608]) ).
tcf(c_124450,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_107608]) ).
tcf(c_124452,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_107608]) ).
tcf(c_124454,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_107608]) ).
tcf(c_124455,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_107608]) ).
tcf(c_124456,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_107608]) ).
tcf(c_124457,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_107608]) ).
tcf(c_124459,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_107608]) ).
tcf(c_124460,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_107608]) ).
tcf(c_124461,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_107608]) ).
tcf(c_124462,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_107608]) ).
tcf(c_124463,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_107608]) ).
tcf(c_124464,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_107608]) ).
tcf(c_124465,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_107608]) ).
tcf(c_124466,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_107608]) ).
tcf(c_124467,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_107608]) ).
tcf(c_124468,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_107608]) ).
tcf(c_124469,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_107608]) ).
tcf(c_124470,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_107608]) ).
tcf(c_124471,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_107608]) ).
tcf(c_124472,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_107608]) ).
tcf(c_124473,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_107608]) ).
tcf(c_124474,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_107608]) ).
tcf(c_124475,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_107608]) ).
tcf(c_124476,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_107608]) ).
tcf(c_124477,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_107608]) ).
tcf(c_124478,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_107608]) ).
tcf(c_124479,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_107608]) ).
tcf(c_124481,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_107608]) ).
tcf(c_124482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_107608]) ).
tcf(c_124483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_107608]) ).
tcf(c_124484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_107608]) ).
tcf(c_124485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_107608]) ).
tcf(c_124486,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_107608]) ).
tcf(c_124487,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_107608]) ).
tcf(c_124488,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_107608]) ).
tcf(c_124489,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_107608]) ).
tcf(c_124490,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_107608]) ).
tcf(c_124491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_107608]) ).
tcf(c_124492,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_107608]) ).
tcf(c_124493,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_107608]) ).
tcf(c_124494,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_107608]) ).
tcf(c_124496,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_107608]) ).
tcf(c_124497,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_107608]) ).
tcf(c_124498,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_107608]) ).
tcf(c_124499,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_107608]) ).
tcf(c_124500,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_107608]) ).
tcf(c_124501,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_107608]) ).
tcf(c_124502,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_107608]) ).
tcf(c_124504,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_107608]) ).
tcf(c_124505,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_107608]) ).
tcf(c_124506,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_107608]) ).
tcf(c_124507,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_107608]) ).
tcf(c_124508,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_107608]) ).
tcf(c_124509,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_107608]) ).
tcf(c_124510,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_107608]) ).
tcf(c_124511,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_107608]) ).
tcf(c_124512,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_107608]) ).
tcf(c_124515,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_107608]) ).
tcf(c_124516,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_107608]) ).
tcf(c_124517,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_107608]) ).
tcf(c_124518,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_107608]) ).
tcf(c_125332,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_108515]) ).
tcf(c_125333,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_108515]) ).
tcf(c_125334,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_108515]) ).
tcf(c_125335,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_108515]) ).
tcf(c_125336,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_108515]) ).
tcf(c_125337,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_108515]) ).
tcf(c_125339,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_108515]) ).
tcf(c_125340,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_108515]) ).
tcf(c_125341,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_108515]) ).
tcf(c_125342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_108515]) ).
tcf(c_125343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_108515]) ).
tcf(c_125344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_108515]) ).
tcf(c_125345,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(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_108515]) ).
tcf(c_125346,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_108515]) ).
tcf(c_125347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_108515]) ).
tcf(c_125348,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_108515]) ).
tcf(c_125349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_108515]) ).
tcf(c_125350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_108515]) ).
tcf(c_125351,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_108515]) ).
tcf(c_125352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_108515]) ).
tcf(c_125353,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,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_108515]) ).
tcf(c_125354,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_108515]) ).
tcf(c_125355,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_108515]) ).
tcf(c_125357,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_108515]) ).
tcf(c_125358,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_108515]) ).
tcf(c_125359,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_108515]) ).
tcf(c_125360,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_108515]) ).
tcf(c_125361,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_108515]) ).
tcf(c_125362,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_108515]) ).
tcf(c_125363,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_108515]) ).
tcf(c_125364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_108515]) ).
tcf(c_125365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_108515]) ).
tcf(c_125367,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_108515]) ).
tcf(c_125369,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_108515]) ).
tcf(c_125371,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_108515]) ).
tcf(c_125372,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_108515]) ).
tcf(c_125373,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_108515]) ).
tcf(c_125374,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_108515]) ).
tcf(c_125375,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_108515]) ).
tcf(c_125376,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_108515]) ).
tcf(c_125377,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_108515]) ).
tcf(c_125378,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_108515]) ).
tcf(c_125379,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_108515]) ).
tcf(c_125380,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_108515]) ).
tcf(c_125381,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_108515]) ).
tcf(c_125382,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_108515]) ).
tcf(c_125383,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_108515]) ).
tcf(c_125384,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_108515]) ).
tcf(c_125385,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_108515]) ).
tcf(c_125386,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_108515]) ).
tcf(c_125387,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_108515]) ).
tcf(c_125388,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_108515]) ).
tcf(c_125389,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_108515]) ).
tcf(c_125390,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_108515]) ).
tcf(c_125391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_108515]) ).
tcf(c_125392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_108515]) ).
tcf(c_125393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_108515]) ).
tcf(c_125394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_108515]) ).
tcf(c_125395,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_108515]) ).
tcf(c_125396,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_108515]) ).
tcf(c_125397,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_108515]) ).
tcf(c_125398,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_108515]) ).
tcf(c_125399,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_108515]) ).
tcf(c_125401,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_108515]) ).
tcf(c_125402,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_108515]) ).
tcf(c_125403,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_108515]) ).
tcf(c_125404,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_108515]) ).
tcf(c_125405,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_108515]) ).
tcf(c_125406,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_108515]) ).
tcf(c_125407,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_108515]) ).
tcf(c_125408,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_108515]) ).
tcf(c_125409,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_108515]) ).
tcf(c_125410,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_108515]) ).
tcf(c_125411,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_108515]) ).
tcf(c_125412,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_108515]) ).
tcf(c_125413,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_108515]) ).
tcf(c_125414,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_108515]) ).
tcf(c_125415,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_108515]) ).
tcf(c_125416,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_108515]) ).
tcf(c_125417,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_108515]) ).
tcf(c_125418,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_108515]) ).
tcf(c_125443,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_125406,c_54901]) ).
tcf(c_125448,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_125398,c_54901]) ).
tcf(c_125598,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_125413,c_83199]) ).
tcf(c_125641,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125387,c_948]) ).
tcf(c_125992,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_100889]) ).
tcf(c_125993,plain,
( member(sK7(sK0,sK3,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_36632]) ).
tcf(c_125994,plain,
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_79044]) ).
tcf(c_125995,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = X0 )
| ~ member(X0,sK2)
| ~ apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_78888]) ).
tcf(c_125996,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(superposition,[status(thm)],[c_54928,c_44494]) ).
tcf(c_125997,plain,
( apply(sK0,sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_23012]) ).
tcf(c_125999,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) )
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_19000]) ).
tcf(c_126000,plain,
( member(sK7(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_20064]) ).
tcf(c_126003,plain,
! [X0: $i] :
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_8812]) ).
tcf(c_126005,plain,
! [X0: $i] :
( member(sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_7788]) ).
tcf(c_126007,plain,
( apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_2271]) ).
tcf(c_126009,plain,
( member(sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_2041]) ).
tcf(c_126011,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),image3(sK0,X1,X0))
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0) ),
inference(superposition,[status(thm)],[c_54928,c_1299]) ).
tcf(c_126012,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),inverse_image3(sK0,X1,X0))
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(superposition,[status(thm)],[c_54928,c_1319]) ).
tcf(c_126015,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) = X0 )
| ~ member(X0,sK2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK8(sK0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2)
| ~ member(sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK1)
| ~ apply(sK0,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0) ),
inference(superposition,[status(thm)],[c_54928,c_13055]) ).
tcf(c_126016,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_103202]) ).
tcf(c_126017,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_28808]) ).
tcf(c_126019,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_6917]) ).
tcf(c_126020,plain,
! [X0: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_19910]) ).
tcf(c_126021,plain,
! [X0: $i] :
( member(sK7(sK0,X0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_20729]) ).
tcf(c_126023,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_19094]) ).
tcf(c_126028,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(superposition,[status(thm)],[c_54928,c_7389]) ).
tcf(c_126067,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(light_normalisation,[status(thm)],[c_125996,c_54928]) ).
tcf(c_126078,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),image3(sK0,X0,X1))
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(light_normalisation,[status(thm)],[c_126011,c_54928]) ).
tcf(c_126083,plain,
( ( sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(light_normalisation,[status(thm)],[c_125994,c_54928]) ).
tcf(c_126087,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = X0 )
| ~ member(X0,sK2)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1) ),
inference(light_normalisation,[status(thm)],[c_125995,c_54928]) ).
tcf(c_126093,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK1,X0)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1) ),
inference(light_normalisation,[status(thm)],[c_126016,c_54928]) ).
tcf(c_126100,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))) = X0 )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ apply(sK0,sK7(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X0) ),
inference(light_normalisation,[status(thm)],[c_125992,c_54928]) ).
tcf(c_126107,plain,
! [X0: $i,X1: $i] :
( ( sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ member(sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),sK1)
| ~ apply(sK0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))),X1)
| ~ member(sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK1)
| ~ member(sK8(sK0,X0,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),sK2) ),
inference(light_normalisation,[status(thm)],[c_126015,c_54928]) ).
tcf(c_126223,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70084]) ).
tcf(c_126224,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70084]) ).
tcf(c_126225,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_70084]) ).
tcf(c_126234,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_70084]) ).
tcf(c_126235,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_70084]) ).
tcf(c_126236,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),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)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_70084]) ).
tcf(c_126237,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_70084]) ).
tcf(c_126239,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_70084]) ).
tcf(c_126240,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_70084]) ).
tcf(c_126241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_70084]) ).
tcf(c_126242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_70084]) ).
tcf(c_126243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_70084]) ).
tcf(c_126244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_70084]) ).
tcf(c_126245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_70084]) ).
tcf(c_126246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_70084]) ).
tcf(c_126247,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_70084]) ).
tcf(c_126248,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_70084]) ).
tcf(c_126249,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_70084]) ).
tcf(c_126250,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_70084]) ).
tcf(c_126251,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_70084]) ).
tcf(c_126252,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_70084]) ).
tcf(c_126253,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK8(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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_70084]) ).
tcf(c_126254,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_70084]) ).
tcf(c_126255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_70084]) ).
tcf(c_126256,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_70084]) ).
tcf(c_126290,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126223,c_948]) ).
tcf(c_126302,plain,
! [X0: $i] :
( member(sK7(sK0,sK1,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126224,c_948]) ).
tcf(c_126600,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK8(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24237,c_70419]) ).
tcf(c_126601,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1203,c_70419]) ).
tcf(c_126602,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1147,c_70419]) ).
tcf(c_126603,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_46570,c_70419]) ).
tcf(c_126604,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1178,c_70419]) ).
tcf(c_126605,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1118,c_70419]) ).
tcf(c_126606,plain,
( member(sK7(sK0,sK3,sK4(sK2,sK3)),sK2)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_37524,c_70419]) ).
tcf(c_126614,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) = sK4(image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1385,c_70419]) ).
tcf(c_126615,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1384,c_70419]) ).
tcf(c_126616,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),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)) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1387,c_70419]) ).
tcf(c_126617,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_1386,c_70419]) ).
tcf(c_126619,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) = sK4(inverse_image3(X0,X1,sK2),X2) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1473,c_70419]) ).
tcf(c_126620,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_1472,c_70419]) ).
tcf(c_126621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4826,c_70419]) ).
tcf(c_126622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X3)
| ~ subset(sK1,sK3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5021,c_70419]) ).
tcf(c_126623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12311,c_70419]) ).
tcf(c_126624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_12517,c_70419]) ).
tcf(c_126625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13453,c_70419]) ).
tcf(c_126626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_13726,c_70419]) ).
tcf(c_126627,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_51377,c_70419]) ).
tcf(c_126628,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_50986,c_70419]) ).
tcf(c_126629,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35903,c_70419]) ).
tcf(c_126630,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35901,c_70419]) ).
tcf(c_126631,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_82519,c_70419]) ).
tcf(c_126632,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_58922,c_70419]) ).
tcf(c_126633,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK8(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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_47280,c_70419]) ).
tcf(c_126634,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,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)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35906,c_70419]) ).
tcf(c_126635,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK8(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35917,c_70419]) ).
tcf(c_126636,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_35873,c_70419]) ).
tcf(c_126673,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126605,c_948]) ).
tcf(c_126677,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126603,c_948]) ).
tcf(c_126697,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126604,c_948]) ).
tcf(c_127054,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK4(sK2,sK3)),X1)
| ~ subset(sK2,X0)
| ~ subset(sK1,X2)
| ~ subset(X2,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_89756,c_55]) ).
tcf(c_127055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK7(sK0,X3,sK4(sK2,sK3))),sK7(sK0,X3,sK4(sK2,sK3)))
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_65]) ).
tcf(c_127056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,X3,sK4(sK2,sK3))),X1)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_64]) ).
tcf(c_127057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK4(sK2,sK3)),X2)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_63]) ).
tcf(c_127058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,X3,sK4(sK2,sK3)),sK8(X0,X1,sK7(sK0,X3,sK4(sK2,sK3))))
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_69]) ).
tcf(c_127059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK8(X0,X1,sK7(sK0,X3,sK4(sK2,sK3))),X1)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_68]) ).
tcf(c_127060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK4(sK2,sK3)),X2)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_89756,c_67]) ).
tcf(c_127061,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_107608]) ).
tcf(c_127062,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_103661]) ).
tcf(c_127063,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_103630]) ).
tcf(c_127064,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_65650]) ).
tcf(c_127065,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_85702]) ).
tcf(c_127066,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_84565]) ).
tcf(c_127067,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_83098]) ).
tcf(c_127068,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_82460]) ).
tcf(c_127069,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_63120]) ).
tcf(c_127070,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_62571]) ).
tcf(c_127071,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_62172]) ).
tcf(c_127072,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_61641]) ).
tcf(c_127073,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_57648]) ).
tcf(c_127074,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_57198]) ).
tcf(c_127075,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_56375]) ).
tcf(c_127076,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_55799]) ).
tcf(c_127077,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_55246]) ).
tcf(c_127078,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_53524]) ).
tcf(c_127079,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_52521]) ).
tcf(c_127080,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_59386]) ).
tcf(c_127081,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_58863]) ).
tcf(c_127082,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_58347]) ).
tcf(c_127083,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_58318]) ).
tcf(c_127084,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_51970]) ).
tcf(c_127085,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_51318]) ).
tcf(c_127086,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_50927]) ).
tcf(c_127087,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_48356]) ).
tcf(c_127088,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_47796]) ).
tcf(c_127089,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_47218]) ).
tcf(c_127090,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_46592]) ).
tcf(c_127091,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_46549]) ).
tcf(c_127092,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_22454]) ).
tcf(c_127093,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_21013]) ).
tcf(c_127094,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_17762]) ).
tcf(c_127095,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_16596]) ).
tcf(c_127096,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_16329]) ).
tcf(c_127097,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_16026]) ).
tcf(c_127098,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_19577]) ).
tcf(c_127099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_14204]) ).
tcf(c_127100,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_13122]) ).
tcf(c_127101,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_3997]) ).
tcf(c_127102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_5599]) ).
tcf(c_127103,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) = sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_3998]) ).
tcf(c_127104,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1204]) ).
tcf(c_127105,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1148]) ).
tcf(c_127106,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))) = sK7(sK0,X0,sK4(sK2,sK3)) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1111]) ).
tcf(c_127107,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_108515]) ).
tcf(c_127108,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_103680]) ).
tcf(c_127109,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_103640]) ).
tcf(c_127110,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_86381]) ).
tcf(c_127111,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_63631]) ).
tcf(c_127112,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_85681]) ).
tcf(c_127113,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_83116]) ).
tcf(c_127114,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_83077]) ).
tcf(c_127115,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_82452]) ).
tcf(c_127116,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_63099]) ).
tcf(c_127117,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_59404]) ).
tcf(c_127118,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_57627]) ).
tcf(c_127119,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_56354]) ).
tcf(c_127120,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_55778]) ).
tcf(c_127121,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_55225]) ).
tcf(c_127122,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_51988]) ).
tcf(c_127123,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_48374]) ).
tcf(c_127124,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_61620]) ).
tcf(c_127125,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_59365]) ).
tcf(c_127126,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_58365]) ).
tcf(c_127127,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_58326]) ).
tcf(c_127128,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_51949]) ).
tcf(c_127129,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_47814]) ).
tcf(c_127130,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_48335]) ).
tcf(c_127131,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_47775]) ).
tcf(c_127132,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_46610]) ).
tcf(c_127133,plain,
! [X0: $i] :
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_46571]) ).
tcf(c_127134,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_22437]) ).
tcf(c_127135,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_19101]) ).
tcf(c_127136,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_19098]) ).
tcf(c_127137,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_17745]) ).
tcf(c_127138,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_16312]) ).
tcf(c_127139,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_16009]) ).
tcf(c_127140,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_19099]) ).
tcf(c_127141,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_19102]) ).
tcf(c_127142,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_14187]) ).
tcf(c_127143,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_5588]) ).
tcf(c_127144,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1826]) ).
tcf(c_127145,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1179]) ).
tcf(c_127146,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))) = sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_1119]) ).
tcf(c_127147,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK4(sK2,sK3)),sK2)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_46048]) ).
tcf(c_127148,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89756,c_6689]) ).
tcf(c_127149,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_5259]) ).
tcf(c_127150,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK8(sK0,X2,sK7(sK0,X0,sK4(sK2,sK3))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89756,c_6690]) ).
tcf(c_127151,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_4256]) ).
tcf(c_127152,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK7(sK0,X0,sK4(sK2,sK3))),X1)
| ~ subset(sK2,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_5260]) ).
tcf(c_127153,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_4257]) ).
tcf(c_127154,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK4(sK2,sK3)),sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89756,c_1678]) ).
tcf(c_127155,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK7(sK0,X0,sK4(sK2,sK3)))
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_1594]) ).
tcf(c_127156,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3))),sK2)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK1) ),
inference(superposition,[status(thm)],[c_89756,c_1679]) ).
tcf(c_127157,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))),sK1)
| ~ subset(sK2,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3)
| ~ member(sK7(sK0,X0,sK4(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_89756,c_1595]) ).
tcf(c_127727,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_46570,c_60404]) ).
tcf(c_127728,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_1178,c_60404]) ).
tcf(c_127729,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(X0,X1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))),X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1118,c_60404]) ).
tcf(c_127745,plain,
! [X0: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_49086,c_105611]) ).
tcf(c_127746,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK3,sK4(sK2,sK3)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49086,c_69280]) ).
tcf(c_127748,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK1,sK4(sK3,X1)),X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_49086,c_100976]) ).
tcf(c_127750,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),sK2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_49086,c_46063]) ).
tcf(c_127753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK3),X3)
| member(sK4(inverse_image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_49086,c_39808]) ).
tcf(c_127754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK3),X4)
| member(sK4(inverse_image3(X2,X3,sK3),X4),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49086,c_5022]) ).
tcf(c_127756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_49086,c_35735]) ).
tcf(c_127758,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)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49086,c_4827]) ).
tcf(c_127761,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK1,sK5(sK0,sK2,X0)),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X1))) = sK4(sK2,X1) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_49086,c_3604]) ).
tcf(c_127762,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) ) ),
inference(superposition,[status(thm)],[c_49086,c_2541]) ).
tcf(c_127766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))) = sK4(sK2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49086,c_993]) ).
tcf(c_127767,plain,
( ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)))) = sK4(sK2,image3(sK0,inverse_image3(sK0,sK3,sK1),sK2)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3))) = sK4(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ) ),
inference(superposition,[status(thm)],[c_49086,c_16955]) ).
tcf(c_127769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,image3(X0,X1,X2)))) = sK4(sK2,image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_49086,c_5025]) ).
tcf(c_127775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,sK3),X5)
| member(sK4(inverse_image3(X3,X4,sK3),X5),X2)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,inverse_image3(X0,X1,X2)))) = sK4(sK2,inverse_image3(X0,X1,X2)) ) ),
inference(superposition,[status(thm)],[c_49086,c_5028]) ).
tcf(c_127780,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) ) ),
inference(superposition,[status(thm)],[c_49086,c_1180]) ).
tcf(c_127781,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK8(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK2))) = sK4(sK2,sK2) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))) = sK4(sK3,X0) ) ),
inference(superposition,[status(thm)],[c_49086,c_1120]) ).
tcf(c_127880,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK2,sK3),inverse_image3(sK0,X0,X1))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50588,c_66]) ).
tcf(c_127881,plain,
! [X0: $i,X1: $i] :
( member(sK8(sK0,sK2,sK4(sK2,sK3)),image3(sK0,X1,X0))
| ~ member(sK4(sK2,sK3),sK1)
| ~ member(sK4(sK2,sK3),X1)
| ~ member(sK8(sK0,sK2,sK4(sK2,sK3)),X0) ),
inference(superposition,[status(thm)],[c_50588,c_62]) ).
tcf(c_128062,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_108536]) ).
tcf(c_128063,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_108536]) ).
tcf(c_128064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_108536]) ).
tcf(c_128065,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_108536]) ).
tcf(c_128066,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_108536]) ).
tcf(c_128067,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_108536]) ).
tcf(c_128069,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_108536]) ).
tcf(c_128070,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_108536]) ).
tcf(c_128071,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_108536]) ).
tcf(c_128072,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_108536]) ).
tcf(c_128073,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_108536]) ).
tcf(c_128074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_108536]) ).
tcf(c_128075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_108536]) ).
tcf(c_128076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_108536]) ).
tcf(c_128077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_108536]) ).
tcf(c_128078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_108536]) ).
tcf(c_128079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_108536]) ).
tcf(c_128080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_108536]) ).
tcf(c_128081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_108536]) ).
tcf(c_128082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_108536]) ).
tcf(c_128083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_108536]) ).
tcf(c_128084,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0)))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_108536]) ).
tcf(c_128085,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_108536]) ).
tcf(c_128086,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_108536]) ).
tcf(c_128087,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_108536]) ).
tcf(c_128088,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_108536]) ).
tcf(c_128089,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_108536]) ).
tcf(c_128090,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_108536]) ).
tcf(c_128091,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_108536]) ).
tcf(c_128092,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_108536]) ).
tcf(c_128093,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_108536]) ).
tcf(c_128094,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_108536]) ).
tcf(c_128095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_108536]) ).
tcf(c_128096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_108536]) ).
tcf(c_128097,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_108536]) ).
tcf(c_128099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_108536]) ).
tcf(c_128101,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_108536]) ).
tcf(c_128102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_108536]) ).
tcf(c_128103,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_108536]) ).
tcf(c_128104,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_108536]) ).
tcf(c_128106,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_108536]) ).
tcf(c_128107,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_108536]) ).
tcf(c_128108,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_108536]) ).
tcf(c_128109,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_108536]) ).
tcf(c_128110,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_108536]) ).
tcf(c_128111,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_108536]) ).
tcf(c_128112,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_108536]) ).
tcf(c_128113,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_108536]) ).
tcf(c_128114,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_108536]) ).
tcf(c_128115,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_108536]) ).
tcf(c_128116,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_108536]) ).
tcf(c_128117,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_108536]) ).
tcf(c_128118,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_108536]) ).
tcf(c_128119,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_108536]) ).
tcf(c_128120,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_108536]) ).
tcf(c_128121,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_108536]) ).
tcf(c_128122,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_108536]) ).
tcf(c_128123,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_108536]) ).
tcf(c_128124,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_108536]) ).
tcf(c_128125,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_108536]) ).
tcf(c_128126,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_108536]) ).
tcf(c_128128,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_108536]) ).
tcf(c_128129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_108536]) ).
tcf(c_128130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_108536]) ).
tcf(c_128131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_108536]) ).
tcf(c_128132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_108536]) ).
tcf(c_128133,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_108536]) ).
tcf(c_128134,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_108536]) ).
tcf(c_128135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2)))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_108536]) ).
tcf(c_128136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_108536]) ).
tcf(c_128137,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_108536]) ).
tcf(c_128138,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_108536]) ).
tcf(c_128139,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_108536]) ).
tcf(c_128140,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_108536]) ).
tcf(c_128141,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_108536]) ).
tcf(c_128143,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_108536]) ).
tcf(c_128144,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_108536]) ).
tcf(c_128145,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_108536]) ).
tcf(c_128146,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_108536]) ).
tcf(c_128147,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_108536]) ).
tcf(c_128148,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_108536]) ).
tcf(c_128149,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_108536]) ).
tcf(c_128151,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_108536]) ).
tcf(c_128152,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_108536]) ).
tcf(c_128153,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_108536]) ).
tcf(c_128154,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_108536]) ).
tcf(c_128155,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_108536]) ).
tcf(c_128156,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_108536]) ).
tcf(c_128157,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_108536]) ).
tcf(c_128158,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_108536]) ).
tcf(c_128159,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_108536]) ).
tcf(c_128160,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_108536]) ).
tcf(c_128163,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_108536]) ).
tcf(c_128164,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_108536]) ).
tcf(c_128165,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_108536]) ).
tcf(c_128166,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_108536]) ).
tcf(c_129151,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK3)) = sK8(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_24237,c_107633]) ).
tcf(c_129152,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1203,c_107633]) ).
tcf(c_129153,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,sK3)))) = sK5(sK0,sK2,sK4(sK1,sK3)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1147,c_107633]) ).
tcf(c_129298,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_108555]) ).
tcf(c_129299,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_108555]) ).
tcf(c_129300,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_108555]) ).
tcf(c_129301,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_108555]) ).
tcf(c_129302,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_108555]) ).
tcf(c_129303,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_108555]) ).
tcf(c_129305,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_108555]) ).
tcf(c_129306,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_108555]) ).
tcf(c_129307,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_108555]) ).
tcf(c_129308,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_108555]) ).
tcf(c_129309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_108555]) ).
tcf(c_129310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_108555]) ).
tcf(c_129311,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(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_108555]) ).
tcf(c_129312,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_108555]) ).
tcf(c_129313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_108555]) ).
tcf(c_129314,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_108555]) ).
tcf(c_129315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_108555]) ).
tcf(c_129316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_108555]) ).
tcf(c_129317,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_108555]) ).
tcf(c_129318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_108555]) ).
tcf(c_129319,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,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_108555]) ).
tcf(c_129320,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_108555]) ).
tcf(c_129321,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_108555]) ).
tcf(c_129323,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_108555]) ).
tcf(c_129324,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_108555]) ).
tcf(c_129325,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_108555]) ).
tcf(c_129326,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_108555]) ).
tcf(c_129327,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_108555]) ).
tcf(c_129328,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_108555]) ).
tcf(c_129329,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_108555]) ).
tcf(c_129330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_108555]) ).
tcf(c_129331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_108555]) ).
tcf(c_129333,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_108555]) ).
tcf(c_129335,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_108555]) ).
tcf(c_129337,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_108555]) ).
tcf(c_129338,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_108555]) ).
tcf(c_129339,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_108555]) ).
tcf(c_129340,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_108555]) ).
tcf(c_129341,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_108555]) ).
tcf(c_129342,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_108555]) ).
tcf(c_129343,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_108555]) ).
tcf(c_129344,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_108555]) ).
tcf(c_129345,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_108555]) ).
tcf(c_129346,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_108555]) ).
tcf(c_129347,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_108555]) ).
tcf(c_129348,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_108555]) ).
tcf(c_129349,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_108555]) ).
tcf(c_129350,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_108555]) ).
tcf(c_129351,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_108555]) ).
tcf(c_129352,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_108555]) ).
tcf(c_129353,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_108555]) ).
tcf(c_129354,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_108555]) ).
tcf(c_129355,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_108555]) ).
tcf(c_129356,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_108555]) ).
tcf(c_129357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_108555]) ).
tcf(c_129358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_108555]) ).
tcf(c_129359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_108555]) ).
tcf(c_129360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_108555]) ).
tcf(c_129361,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_108555]) ).
tcf(c_129362,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_108555]) ).
tcf(c_129363,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_108555]) ).
tcf(c_129364,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_108555]) ).
tcf(c_129365,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_108555]) ).
tcf(c_129367,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_108555]) ).
tcf(c_129368,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_108555]) ).
tcf(c_129369,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_108555]) ).
tcf(c_129370,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_108555]) ).
tcf(c_129371,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_108555]) ).
tcf(c_129372,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_108555]) ).
tcf(c_129373,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_108555]) ).
tcf(c_129374,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_108555]) ).
tcf(c_129375,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_108555]) ).
tcf(c_129376,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_108555]) ).
tcf(c_129377,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_108555]) ).
tcf(c_129378,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_108555]) ).
tcf(c_129379,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_108555]) ).
tcf(c_129380,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_108555]) ).
tcf(c_129381,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_108555]) ).
tcf(c_129382,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_108555]) ).
tcf(c_129383,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_108555]) ).
tcf(c_129384,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_108555]) ).
tcf(c_129385,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_108555]) ).
tcf(c_129410,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_129372,c_54901]) ).
tcf(c_129415,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_129364,c_54901]) ).
tcf(c_129508,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_129375,c_83199]) ).
tcf(c_129572,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_129380,c_83199]) ).
tcf(c_129615,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129353,c_948]) ).
tcf(c_130074,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_123843]) ).
tcf(c_130075,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_123843]) ).
tcf(c_130076,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_123843]) ).
tcf(c_130077,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_123843]) ).
tcf(c_130078,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_123843]) ).
tcf(c_130079,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_123843]) ).
tcf(c_130081,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_123843]) ).
tcf(c_130082,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_123843]) ).
tcf(c_130083,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_123843]) ).
tcf(c_130084,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_123843]) ).
tcf(c_130085,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_123843]) ).
tcf(c_130086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_123843]) ).
tcf(c_130087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_123843]) ).
tcf(c_130088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_123843]) ).
tcf(c_130089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_123843]) ).
tcf(c_130090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_123843]) ).
tcf(c_130091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_123843]) ).
tcf(c_130092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_123843]) ).
tcf(c_130093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_123843]) ).
tcf(c_130094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_123843]) ).
tcf(c_130095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_123843]) ).
tcf(c_130096,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_123843]) ).
tcf(c_130097,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_123843]) ).
tcf(c_130098,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_123843]) ).
tcf(c_130099,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_123843]) ).
tcf(c_130100,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_123843]) ).
tcf(c_130101,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_123843]) ).
tcf(c_130102,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_123843]) ).
tcf(c_130103,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_123843]) ).
tcf(c_130104,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_123843]) ).
tcf(c_130105,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_123843]) ).
tcf(c_130106,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_123843]) ).
tcf(c_130107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_123843]) ).
tcf(c_130108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_123843]) ).
tcf(c_130109,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_123843]) ).
tcf(c_130111,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_123843]) ).
tcf(c_130113,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_123843]) ).
tcf(c_130114,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_123843]) ).
tcf(c_130115,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_123843]) ).
tcf(c_130116,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_123843]) ).
tcf(c_130118,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_123843]) ).
tcf(c_130119,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_123843]) ).
tcf(c_130120,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_123843]) ).
tcf(c_130121,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_123843]) ).
tcf(c_130122,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_123843]) ).
tcf(c_130123,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_123843]) ).
tcf(c_130124,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_123843]) ).
tcf(c_130125,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_123843]) ).
tcf(c_130126,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_123843]) ).
tcf(c_130127,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_123843]) ).
tcf(c_130128,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_123843]) ).
tcf(c_130129,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_123843]) ).
tcf(c_130130,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_123843]) ).
tcf(c_130131,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_123843]) ).
tcf(c_130132,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_123843]) ).
tcf(c_130133,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_123843]) ).
tcf(c_130134,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_123843]) ).
tcf(c_130135,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_123843]) ).
tcf(c_130136,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_123843]) ).
tcf(c_130137,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_123843]) ).
tcf(c_130138,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_123843]) ).
tcf(c_130140,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_123843]) ).
tcf(c_130141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_123843]) ).
tcf(c_130142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_123843]) ).
tcf(c_130143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_123843]) ).
tcf(c_130144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_123843]) ).
tcf(c_130145,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_123843]) ).
tcf(c_130146,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_123843]) ).
tcf(c_130147,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_123843]) ).
tcf(c_130148,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_123843]) ).
tcf(c_130149,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_123843]) ).
tcf(c_130150,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_123843]) ).
tcf(c_130151,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_123843]) ).
tcf(c_130152,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_123843]) ).
tcf(c_130153,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_123843]) ).
tcf(c_130155,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_123843]) ).
tcf(c_130156,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_123843]) ).
tcf(c_130157,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_123843]) ).
tcf(c_130158,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_123843]) ).
tcf(c_130159,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_123843]) ).
tcf(c_130160,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_123843]) ).
tcf(c_130161,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_123843]) ).
tcf(c_130163,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_123843]) ).
tcf(c_130164,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_123843]) ).
tcf(c_130165,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_123843]) ).
tcf(c_130166,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_123843]) ).
tcf(c_130167,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_123843]) ).
tcf(c_130168,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_123843]) ).
tcf(c_130169,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_123843]) ).
tcf(c_130170,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_123843]) ).
tcf(c_130171,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_123843]) ).
tcf(c_130172,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_123843]) ).
tcf(c_130175,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_123843]) ).
tcf(c_130176,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_123843]) ).
tcf(c_130177,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_123843]) ).
tcf(c_130178,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_123843]) ).
tcf(c_130290,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(light_normalisation,[status(thm)],[c_130161,c_54928]) ).
tcf(c_131027,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_124416]) ).
tcf(c_131028,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_319,c_124416]) ).
tcf(c_131029,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_124416]) ).
tcf(c_131030,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_124416]) ).
tcf(c_131031,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_124416]) ).
tcf(c_131032,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_124416]) ).
tcf(c_131034,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_124416]) ).
tcf(c_131035,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_124416]) ).
tcf(c_131036,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_124416]) ).
tcf(c_131037,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_124416]) ).
tcf(c_131038,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_124416]) ).
tcf(c_131039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1377,c_124416]) ).
tcf(c_131040,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(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_124416]) ).
tcf(c_131041,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_124416]) ).
tcf(c_131042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_124416]) ).
tcf(c_131043,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_124416]) ).
tcf(c_131044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1465,c_124416]) ).
tcf(c_131045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X1,X2,image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_124416]) ).
tcf(c_131046,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_124416]) ).
tcf(c_131047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK1,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_124416]) ).
tcf(c_131048,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,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_124416]) ).
tcf(c_131049,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_1946,c_124416]) ).
tcf(c_131050,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6800,c_124416]) ).
tcf(c_131052,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3258,c_124416]) ).
tcf(c_131053,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_124416]) ).
tcf(c_131054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK1,X2)))) = sK4(sK3,image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_124416]) ).
tcf(c_131055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK1)))) = sK4(sK3,inverse_image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_124416]) ).
tcf(c_131056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK1)))) = sK4(sK3,image3(X1,X2,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_124416]) ).
tcf(c_131057,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK1,X2)))) = sK4(sK3,inverse_image3(X0,sK1,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X0,sK1,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_124416]) ).
tcf(c_131058,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97089,c_124416]) ).
tcf(c_131059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2757,c_124416]) ).
tcf(c_131060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2875,c_124416]) ).
tcf(c_131062,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_3098,c_124416]) ).
tcf(c_131064,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_124416]) ).
tcf(c_131066,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20064,c_124416]) ).
tcf(c_131067,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3327,c_124416]) ).
tcf(c_131068,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_124416]) ).
tcf(c_131069,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_124416]) ).
tcf(c_131070,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_124416]) ).
tcf(c_131071,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_124416]) ).
tcf(c_131072,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_124416]) ).
tcf(c_131073,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_124416]) ).
tcf(c_131074,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_124416]) ).
tcf(c_131075,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_124416]) ).
tcf(c_131076,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_124416]) ).
tcf(c_131077,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_7389,c_124416]) ).
tcf(c_131078,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_124416]) ).
tcf(c_131079,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_124416]) ).
tcf(c_131080,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_124416]) ).
tcf(c_131081,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_9340,c_124416]) ).
tcf(c_131082,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_124416]) ).
tcf(c_131083,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_124416]) ).
tcf(c_131084,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20455,c_124416]) ).
tcf(c_131085,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_124416]) ).
tcf(c_131086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_124416]) ).
tcf(c_131087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_124416]) ).
tcf(c_131088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK1)))) = sK4(sK3,inverse_image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_124416]) ).
tcf(c_131089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK1)))) = sK4(sK3,image3(X3,X4,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_124416]) ).
tcf(c_131090,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_38536,c_124416]) ).
tcf(c_131091,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_124416]) ).
tcf(c_131092,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_124416]) ).
tcf(c_131093,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_124416]) ).
tcf(c_131094,plain,
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK1))) = sK4(sK3,sK1) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_64819,c_124416]) ).
tcf(c_131096,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65130,c_124416]) ).
tcf(c_131097,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50594,c_124416]) ).
tcf(c_131098,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_124416]) ).
tcf(c_131099,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_124416]) ).
tcf(c_131100,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54744,c_124416]) ).
tcf(c_131101,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_124416]) ).
tcf(c_131102,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_124416]) ).
tcf(c_131103,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_60795,c_124416]) ).
tcf(c_131104,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54942,c_124416]) ).
tcf(c_131105,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60798,c_124416]) ).
tcf(c_131106,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_60801,c_124416]) ).
tcf(c_131107,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_124416]) ).
tcf(c_131108,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_124416]) ).
tcf(c_131109,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_124416]) ).
tcf(c_131110,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,X1,sK1)))) = sK4(sK3,inverse_image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89429,c_124416]) ).
tcf(c_131111,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,X1,sK1)))) = sK4(sK3,image3(X0,X1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_89091,c_124416]) ).
tcf(c_131112,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_74988,c_124416]) ).
tcf(c_131113,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_124416]) ).
tcf(c_131114,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_124416]) ).
tcf(c_131339,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131082,c_948]) ).
tcf(c_131895,plain,
! [X0: $i] :
( subset(sK2,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54,c_124437]) ).
tcf(c_131896,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_362,c_124437]) ).
tcf(c_131897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_954,c_124437]) ).
tcf(c_131898,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK2),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK2),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_962,c_124437]) ).
tcf(c_131899,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36921,c_124437]) ).
tcf(c_131900,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_972,c_124437]) ).
tcf(c_131902,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3995,c_124437]) ).
tcf(c_131903,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_973,c_124437]) ).
tcf(c_131904,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_974,c_124437]) ).
tcf(c_131905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1010,c_124437]) ).
tcf(c_131906,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK2,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X0,sK2,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1022,c_124437]) ).
tcf(c_131907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1377,c_124437]) ).
tcf(c_131908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1379,c_124437]) ).
tcf(c_131909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1380,c_124437]) ).
tcf(c_131910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1382,c_124437]) ).
tcf(c_131911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1383,c_124437]) ).
tcf(c_131912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_1465,c_124437]) ).
tcf(c_131913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(inverse_image3(X1,X2,image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1467,c_124437]) ).
tcf(c_131914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1468,c_124437]) ).
tcf(c_131915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(inverse_image3(X1,X2,inverse_image3(X0,sK2,X3)),X4)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1470,c_124437]) ).
tcf(c_131916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK2)),X4))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1471,c_124437]) ).
tcf(c_131917,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK6(sK0,sK1,X0))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3918,c_124437]) ).
tcf(c_131918,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(X0,X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36598,c_124437]) ).
tcf(c_131919,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_2039,c_124437]) ).
tcf(c_131920,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_3320,c_124437]) ).
tcf(c_131921,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2041,c_124437]) ).
tcf(c_131922,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2377,c_124437]) ).
tcf(c_131923,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X0,sK2,X2)))) = sK4(sK3,image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3828,c_124437]) ).
tcf(c_131924,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X1,X2,sK2)))) = sK4(sK3,inverse_image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2543,c_124437]) ).
tcf(c_131925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X1,X2,sK2)))) = sK4(sK3,image3(X1,X2,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2542,c_124437]) ).
tcf(c_131926,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X0,sK2,X2)))) = sK4(sK3,inverse_image3(X0,sK2,X2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK2,sK4(sK3,X1)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_3852,c_124437]) ).
tcf(c_131927,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK3,X0))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36595,c_124437]) ).
tcf(c_131928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X1,X0,sK4(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2757,c_124437]) ).
tcf(c_131929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_2875,c_124437]) ).
tcf(c_131930,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_3044,c_124437]) ).
tcf(c_131932,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_36629,c_124437]) ).
tcf(c_131934,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19094,c_124437]) ).
tcf(c_131935,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3265,c_124437]) ).
tcf(c_131936,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_18992,c_124437]) ).
tcf(c_131937,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19900,c_124437]) ).
tcf(c_131939,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK2))) = sK4(sK3,sK2) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_104278,c_124437]) ).
tcf(c_131940,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_102545,c_124437]) ).
tcf(c_131941,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97096,c_124437]) ).
tcf(c_131942,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_97133,c_124437]) ).
tcf(c_131943,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5844,c_124437]) ).
tcf(c_131944,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7169,c_124437]) ).
tcf(c_131945,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6908,c_124437]) ).
tcf(c_131946,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15883,c_124437]) ).
tcf(c_131947,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_6169,c_124437]) ).
tcf(c_131948,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2)
| ~ member(sK6(sK0,sK1,X0),sK2) ),
inference(superposition,[status(thm)],[c_6170,c_124437]) ).
tcf(c_131949,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_6809,c_124437]) ).
tcf(c_131950,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_6917,c_124437]) ).
tcf(c_131951,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_7178,c_124437]) ).
tcf(c_131952,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_7381,c_124437]) ).
tcf(c_131953,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK5(sK0,sK2,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_7389,c_124437]) ).
tcf(c_131954,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(X0,X1)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_7786,c_124437]) ).
tcf(c_131955,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_7788,c_124437]) ).
tcf(c_131956,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK6(sK0,sK1,X0)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK2) ),
inference(superposition,[status(thm)],[c_9332,c_124437]) ).
tcf(c_131957,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK6(sK0,sK1,X1)))))) )
| ~ subset(sK1,sK3)
| ~ member(X1,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_9340,c_124437]) ).
tcf(c_131958,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,sK3))) = sK4(sK3,sK3) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_15625,c_124437]) ).
tcf(c_131959,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_19910,c_124437]) ).
tcf(c_131961,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_20729,c_124437]) ).
tcf(c_131962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23803,c_124437]) ).
tcf(c_131963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23713,c_124437]) ).
tcf(c_131964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,inverse_image3(X3,X4,sK2)))) = sK4(sK3,inverse_image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_24104,c_124437]) ).
tcf(c_131965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK4(sK3,image3(X3,X4,sK2)))) = sK4(sK3,image3(X3,X4,sK2)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_23897,c_124437]) ).
tcf(c_131966,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36596,c_124437]) ).
tcf(c_131967,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50560,c_124437]) ).
tcf(c_131968,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(inverse_image3(X0,X1,sK3),X2))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36597,c_124437]) ).
tcf(c_131969,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_35725,c_124437]) ).
tcf(c_131970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(X0,sK3,sK4(image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36604,c_124437]) ).
tcf(c_131971,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK3,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(X0,sK3,sK4(inverse_image3(X0,sK3,X1),X2)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_36605,c_124437]) ).
tcf(c_131972,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK5(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_36632,c_124437]) ).
tcf(c_131973,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK4(sK2,sK3))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50562,c_124437]) ).
tcf(c_131974,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61076,c_124437]) ).
tcf(c_131976,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54703,c_124437]) ).
tcf(c_131977,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54737,c_124437]) ).
tcf(c_131978,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50915,c_124437]) ).
tcf(c_131979,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50600,c_124437]) ).
tcf(c_131980,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_50590,c_124437]) ).
tcf(c_131981,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_55049,c_124437]) ).
tcf(c_131982,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_54909,c_124437]) ).
tcf(c_131984,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_50603,c_124437]) ).
tcf(c_131985,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_89756,c_124437]) ).
tcf(c_131986,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_60795,c_124437]) ).
tcf(c_131987,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60798,c_124437]) ).
tcf(c_131988,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_60801,c_124437]) ).
tcf(c_131989,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,X0,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_60847,c_124437]) ).
tcf(c_131990,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_60858,c_124437]) ).
tcf(c_131991,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK3,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_61265,c_124437]) ).
tcf(c_131992,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,sK2,sK4(sK2,sK3)))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3)
| ~ member(sK4(sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_61404,c_124437]) ).
tcf(c_131993,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK8(sK0,sK2,sK7(sK0,sK1,sK4(sK2,sK3)))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_65159,c_124437]) ).
tcf(c_131996,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK8(sK0,X0,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_74988,c_124437]) ).
tcf(c_131997,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK2,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81687,c_124437]) ).
tcf(c_131998,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK2)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81189,c_124437]) ).
tcf(c_131999,plain,
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))))) = sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK6(sK0,sK1,sK7(sK0,sK1,sK7(sK0,sK1,sK4(sK2,sK3))))))) )
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_81221,c_124437]) ).
tcf(c_132522,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_131999,c_131998,c_131997,c_131996,c_131993,c_131992,c_131991,c_131990,c_131989,c_131988,c_131987,c_131986,c_131985,c_131984,c_131982,c_131981,c_131980,c_131979,c_131978,c_131977,c_131976,c_131974,c_131973,c_131972,c_131971,c_131970,c_131969,c_131968,c_131967,c_131966,c_131965,c_131964,c_131963,c_131962,c_131961,c_131959,c_131958,c_131957,c_131955,c_131953,c_131952,c_131951,c_131950,c_131949,c_131948,c_131947,c_131946,c_131945,c_131944,c_131943,c_131942,c_131941,c_131940,c_131939,c_131956,c_131937,c_131936,c_131935,c_131934,c_131932,c_131954,c_131930,c_131929,c_131928,c_131927,c_131926,c_131925,c_131924,c_131923,c_131922,c_131921,c_131920,c_131919,c_131918,c_131917,c_131916,c_131915,c_131914,c_131913,c_131912,c_131911,c_131910,c_131909,c_131908,c_131907,c_131906,c_131905,c_131904,c_131903,c_131902,c_131900,c_131899,c_131898,c_131897,c_131896,c_131895,c_131339,c_131114,c_131113,c_131112,c_131111,c_131110,c_131109,c_131108,c_131107,c_131106,c_131105,c_131104,c_131103,c_131102,c_131100,c_131099,c_131098,c_131097,c_131096,c_131101,c_131094,c_131093,c_131092,c_131091,c_131090,c_131089,c_131088,c_131087,c_131086,c_131085,c_131084,c_131083,c_131082,c_131081,c_131080,c_131079,c_131078,c_131077,c_131075,c_131074,c_131073,c_131072,c_131070,c_131069,c_131068,c_131067,c_131066,c_131076,c_131064,c_131062,c_131071,c_131060,c_131059,c_131058,c_131057,c_131056,c_131055,c_131054,c_131053,c_131052,c_131050,c_131049,c_131048,c_131047,c_131046,c_131045,c_131044,c_131043,c_131042,c_131041,c_131040,c_131039,c_131038,c_131037,c_131036,c_131035,c_131034,c_131032,c_131031,c_131030,c_131029,c_131028,c_131027,c_130290,c_130178,c_130177,c_130176,c_130175,c_130172,c_130171,c_130170,c_130169,c_130168,c_130167,c_130166,c_130165,c_130164,c_130163,c_130161,c_130160,c_130159,c_130158,c_130157,c_130156,c_130155,c_130153,c_130152,c_130151,c_130150,c_130149,c_130148,c_130147,c_130146,c_130145,c_130144,c_130143,c_130142,c_130141,c_130140,c_130138,c_130137,c_130136,c_130134,c_130132,c_130131,c_130130,c_130129,c_130128,c_130127,c_130126,c_130125,c_130124,c_130123,c_130122,c_130121,c_130120,c_130119,c_130118,c_130135,c_130116,c_130115,c_130114,c_130113,c_130111,c_130133,c_130109,c_130108,c_130107,c_130106,c_130105,c_130104,c_130103,c_130102,c_130101,c_130100,c_130099,c_130098,c_130097,c_130096,c_130095,c_130094,c_130093,c_130092,c_130091,c_130090,c_130089,c_130088,c_130087,c_130086,c_130085,c_130084,c_130083,c_130082,c_130081,c_130079,c_130078,c_130077,c_130076,c_130075,c_130074,c_129615,c_129572,c_129508,c_129415,c_129410,c_129385,c_129384,c_129383,c_129382,c_129381,c_129380,c_129379,c_129378,c_129377,c_129376,c_129375,c_129374,c_129373,c_129371,c_129370,c_129369,c_129368,c_129367,c_129372,c_129365,c_129364,c_129363,c_129362,c_129361,c_129360,c_129359,c_129358,c_129357,c_129356,c_129355,c_129354,c_129353,c_129352,c_129351,c_129350,c_129349,c_129348,c_129346,c_129345,c_129344,c_129343,c_129341,c_129340,c_129339,c_129338,c_129337,c_129347,c_129335,c_129333,c_129342,c_129331,c_129330,c_129329,c_129328,c_129327,c_129326,c_129325,c_129324,c_129323,c_129321,c_129320,c_129319,c_129318,c_129317,c_129316,c_129315,c_129314,c_129313,c_129312,c_129311,c_129310,c_129309,c_129308,c_129307,c_129306,c_129305,c_129303,c_129302,c_129301,c_129300,c_129299,c_129298,c_129153,c_129152,c_129151,c_128166,c_128165,c_128164,c_128163,c_128160,c_128159,c_128158,c_128157,c_128156,c_128155,c_128154,c_128153,c_128152,c_128151,c_128149,c_128148,c_128147,c_128146,c_128145,c_128144,c_128143,c_128141,c_128140,c_128139,c_128138,c_128137,c_128136,c_128135,c_128134,c_128133,c_128132,c_128131,c_128130,c_128129,c_128128,c_128126,c_128125,c_128124,c_128122,c_128120,c_128119,c_128118,c_128117,c_128116,c_128115,c_128114,c_128113,c_128112,c_128111,c_128110,c_128109,c_128108,c_128107,c_128106,c_128123,c_128104,c_128103,c_128102,c_128101,c_128099,c_128121,c_128097,c_128096,c_128095,c_128094,c_128093,c_128092,c_128091,c_128090,c_128089,c_128088,c_128087,c_128086,c_128085,c_128084,c_128083,c_128082,c_128081,c_128080,c_128079,c_128078,c_128077,c_128076,c_128075,c_128074,c_128073,c_128072,c_128071,c_128070,c_128069,c_128067,c_128066,c_128065,c_128064,c_128063,c_128062,c_127881,c_127880,c_127781,c_127780,c_127775,c_127769,c_127767,c_127766,c_127762,c_127761,c_127758,c_127756,c_127754,c_127753,c_127750,c_127748,c_127746,c_127745,c_127729,c_127728,c_127727,c_127157,c_127156,c_127155,c_127154,c_127153,c_127152,c_127151,c_127150,c_127149,c_127148,c_127147,c_127146,c_127145,c_127144,c_127143,c_127142,c_127141,c_127140,c_127139,c_127138,c_127137,c_127136,c_127135,c_127134,c_127133,c_127132,c_127131,c_127130,c_127129,c_127128,c_127127,c_127126,c_127125,c_127124,c_127123,c_127122,c_127121,c_127120,c_127119,c_127118,c_127117,c_127116,c_127115,c_127114,c_127113,c_127112,c_127111,c_127110,c_127109,c_127108,c_127107,c_127106,c_127105,c_127104,c_127103,c_127102,c_127101,c_127100,c_127099,c_127098,c_127097,c_127096,c_127095,c_127094,c_127093,c_127092,c_127091,c_127090,c_127089,c_127088,c_127087,c_127086,c_127085,c_127084,c_127083,c_127082,c_127081,c_127080,c_127079,c_127078,c_127077,c_127076,c_127075,c_127074,c_127073,c_127072,c_127071,c_127070,c_127069,c_127068,c_127067,c_127066,c_127065,c_127064,c_127063,c_127062,c_127061,c_127060,c_127059,c_127058,c_127057,c_127056,c_127055,c_127054,c_126697,c_126677,c_126673,c_126636,c_126635,c_126634,c_126633,c_126632,c_126631,c_126630,c_126629,c_126628,c_126627,c_126626,c_126625,c_126624,c_126623,c_126622,c_126621,c_126620,c_126619,c_126617,c_126616,c_126615,c_126614,c_126606,c_126605,c_126604,c_126603,c_126602,c_126601,c_126600,c_126302,c_126290,c_126256,c_126255,c_126254,c_126253,c_126252,c_126251,c_126250,c_126249,c_126248,c_126247,c_126246,c_126245,c_126244,c_126243,c_126242,c_126241,c_126240,c_126239,c_126237,c_126236,c_126235,c_126234,c_126225,c_126224,c_126223,c_126107,c_126100,c_126093,c_126087,c_126083,c_126078,c_126067,c_126028,c_126023,c_126021,c_126020,c_126019,c_126017,c_126016,c_126015,c_126012,c_126011,c_126009,c_126007,c_126005,c_126003,c_126000,c_125999,c_125997,c_125996,c_125995,c_125994,c_125993,c_125992,c_125641,c_125598,c_125448,c_125443,c_125418,c_125417,c_125416,c_125415,c_125414,c_125413,c_125412,c_125411,c_125410,c_125409,c_125408,c_125407,c_125405,c_125404,c_125403,c_125402,c_125401,c_125406,c_125399,c_125398,c_125397,c_125396,c_125395,c_125394,c_125393,c_125392,c_125391,c_125390,c_125389,c_125388,c_125387,c_125386,c_125385,c_125384,c_125383,c_125382,c_125380,c_125379,c_125378,c_125377,c_125375,c_125374,c_125373,c_125372,c_125371,c_125381,c_125369,c_125367,c_125376,c_125365,c_125364,c_125363,c_125362,c_125361,c_125360,c_125359,c_125358,c_125357,c_125355,c_125354,c_125353,c_125352,c_125351,c_125350,c_125349,c_125348,c_125347,c_125346,c_125345,c_125344,c_125343,c_125342,c_125341,c_125340,c_125339,c_125337,c_125336,c_125335,c_125334,c_125333,c_125332,c_124518,c_124517,c_124516,c_124515,c_124512,c_124511,c_124510,c_124509,c_124508,c_124507,c_124506,c_124505,c_124504,c_124502,c_124501,c_124500,c_124499,c_124498,c_124497,c_124496,c_124494,c_124493,c_124492,c_124491,c_124490,c_124489,c_124488,c_124487,c_124486,c_124485,c_124484,c_124483,c_124482,c_124481,c_124479,c_124478,c_124477,c_124475,c_124473,c_124472,c_124471,c_124470,c_124469,c_124468,c_124467,c_124466,c_124465,c_124464,c_124463,c_124462,c_124461,c_124460,c_124459,c_124476,c_124457,c_124456,c_124455,c_124454,c_124452,c_124474,c_124450,c_124449,c_124448,c_124447,c_124446,c_124445,c_124444,c_124443,c_124442,c_124441,c_124440,c_124439,c_124438,c_124437,c_124436,c_124435,c_124434,c_124433,c_124432,c_124431,c_124430,c_124429,c_124428,c_124427,c_124426,c_124425,c_124424,c_124423,c_124422,c_124420,c_124419,c_124418,c_124417,c_124416,c_124415,c_124153,c_124110,c_124051,c_123958,c_123953,c_123928,c_123927,c_123926,c_123925,c_123924,c_123923,c_123922,c_123921,c_123920,c_123919,c_123918,c_123917,c_123915,c_123914,c_123913,c_123912,c_123911,c_123916,c_123909,c_123908,c_123907,c_123906,c_123905,c_123904,c_123903,c_123902,c_123901,c_123900,c_123899,c_123898,c_123897,c_123896,c_123895,c_123894,c_123893,c_123892,c_123890,c_123889,c_123888,c_123887,c_123885,c_123884,c_123883,c_123882,c_123881,c_123891,c_123879,c_123877,c_123886,c_123875,c_123874,c_123873,c_123872,c_123871,c_123870,c_123869,c_123868,c_123867,c_123865,c_123864,c_123863,c_123862,c_123861,c_123860,c_123859,c_123858,c_123857,c_123856,c_123855,c_123854,c_123853,c_123852,c_123851,c_123850,c_123849,c_123847,c_123846,c_123845,c_123844,c_123843,c_123842,c_109179,c_109178,c_109177,c_109176,c_109171,c_109170,c_109169,c_109168,c_109167,c_109166,c_109165,c_109164,c_109163,c_109162,c_109155,c_109154,c_109152,c_109151,c_109150,c_109149,c_109147,c_109146,c_109145,c_109144,c_109143,c_109142,c_109141,c_109140,c_109139,c_109138,c_109137,c_109136,c_109135,c_109134,c_109133,c_108617,c_108616,c_108615,c_108614,c_108611,c_108610,c_108609,c_108608,c_108607,c_108606,c_108605,c_108604,c_108603,c_108601,c_108600,c_108599,c_108598,c_108597,c_108596,c_108595,c_108593,c_108592,c_108591,c_108590,c_108589,c_108588,c_108587,c_108586,c_108585,c_108584,c_108583,c_108582,c_108581,c_108580,c_108578,c_108577,c_108576,c_108574,c_108572,c_108571,c_108570,c_108569,c_108568,c_108567,c_108566,c_108565,c_108564,c_108563,c_108562,c_108561,c_108560,c_108559,c_108558,c_108575,c_108556,c_108555,c_108554,c_108553,c_108551,c_108573,c_108549,c_108548,c_108547,c_108546,c_108545,c_108544,c_108543,c_108542,c_108541,c_108540,c_108539,c_108538,c_108537,c_108536,c_108535,c_108534,c_108533,c_108532,c_108531,c_108530,c_108529,c_108528,c_108527,c_108526,c_108525,c_108524,c_108523,c_108522,c_108521,c_108519,c_108518,c_108517,c_108516,c_108515,c_108514,c_107916,c_107873,c_107723,c_107718,c_107693,c_107692,c_107691,c_107690,c_107689,c_107688,c_107687,c_107686,c_107685,c_107684,c_107683,c_107682,c_107680,c_107679,c_107678,c_107677,c_107676,c_107681,c_107674,c_107673,c_107672,c_107671,c_107670,c_107669,c_107668,c_107667,c_107666,c_107665,c_107664,c_107663,c_107662,c_10766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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET760+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n026.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 11:55:47 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 91.58/19.52 % SZS status Started for theBenchmark.p
% 91.58/19.52 % SZS status Theorem for theBenchmark.p
% 91.58/19.52
% 91.58/19.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 91.58/19.52
% 91.58/19.52 % ------ iProver source info
% 91.58/19.52
% 91.58/19.52 % git: date: 2026-07-19 20:42:38 +0200
% 91.58/19.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 91.58/19.52 % git: non_committed_changes: false
% 91.58/19.52
% 91.58/19.52 % ------ Parsing...
% 91.58/19.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 91.58/19.52
% 91.58/19.52 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 91.58/19.52
% 91.58/19.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 91.58/19.52
% 91.58/19.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 91.58/19.52 % ------ Proving...
% 91.58/19.52 % ------ Problem Properties
% 91.58/19.52
% 91.58/19.52 %
% 91.58/19.52 % clauses 18
% 91.58/19.52 % conjectures 1
% 91.58/19.52 % EPR 3
% 91.58/19.52 % Horn 17
% 91.58/19.52 % unary 1
% 91.58/19.52 % binary 13
% 91.58/19.52 % lits 44
% 91.58/19.52 % lits eq 1
% 91.58/19.52 % fd_pure 0
% 91.58/19.52 % fd_pseudo 0
% 91.58/19.52 % fd_cond 0
% 91.58/19.52 % fd_pseudo_cond 1
% 91.58/19.52 % AC symbols 0
% 91.58/19.52
% 91.58/19.52 % ------ Schedule dynamic 5 is on
% 91.58/19.52
% 91.58/19.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 91.58/19.52
% 91.58/19.52
% 91.58/19.52 % ------
% 91.58/19.52 % Current options:
% 91.58/19.52 % ------
% 91.58/19.52
% 91.58/19.52
% 91.58/19.52 %
% 91.58/19.52
% 91.58/19.52 % ------ Proving...
% 91.58/19.52 %
% 91.58/19.52
% 91.58/19.52 % SZS status Theorem for theBenchmark.p
% 91.58/19.52
% 91.58/19.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 100.29/19.87
% 100.29/19.87
%------------------------------------------------------------------------------