%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:01:03 PM UTC 2026
% Result : Unsatisfiable 6.27s 1.76s
% Output : CNFRefutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 1471 ( 223 unt; 0 def)
% Number of atoms : 2847 (2846 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 2756 (1380 ~;1376 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 867 ( 0 sgn 867 !; 0 ?; 844 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : codomain(domain(X0)) = domain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
fof(f2,plain,
! [X0] : domain(X0) = codomain(domain(X0)),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : domain(codomain(X0)) = codomain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
fof(f4,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : compose(domain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_composition) ).
fof(f6,axiom,
! [X0] : compose(X0,codomain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_composition) ).
fof(f7,axiom,
! [X0,X1] :
( domain(compose(X0,X1)) = domain(X0)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain1) ).
fof(f8,plain,
! [X0,X1] :
( domain(X0) = domain(compose(X0,X1))
| codomain(X0) != domain(X1) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( codomain(compose(X0,X1)) = codomain(X1)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
fof(f11,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(compose(a,b),X2) != X1
| codomain(compose(a,b)) != domain(X2)
| compose(compose(a,b),X0) != X1
| codomain(compose(a,b)) != domain(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',endomorphism) ).
fof(f12,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(compose(a,b),X2) != X1
| domain(X2) != codomain(compose(a,b))
| compose(compose(a,b),X0) != X1
| domain(X0) != codomain(compose(a,b)) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f14,axiom,
codomain(b) = domain(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_h) ).
fof(f15,axiom,
codomain(b) = domain(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_g) ).
fof(f16,axiom,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bh_equals_bg) ).
fof(f17,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f18,plain,
h != g,
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X2,X0] :
( X0 = X2
| compose(compose(a,b),X0) != compose(compose(a,b),X2)
| domain(X2) != codomain(compose(a,b))
| domain(X0) != codomain(compose(a,b)) ),
inference(equality_resolution,[],[f12]) ).
tcf(c_62,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,plain,
! [X0: $i] : compose(domain(X0),X0) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i] : compose(X0,codomain(X0)) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,X1)) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)) )
| ( codomain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(compose(a,b)) != domain(X1) )
| ( codomain(compose(a,b)) != domain(X0) )
| ( compose(compose(a,b),X0) != compose(compose(a,b),X1) ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_70,plain,
codomain(a) = domain(b),
inference(cnf_transformation,[],[f13]) ).
tcf(c_71,plain,
codomain(b) = domain(h),
inference(cnf_transformation,[],[f14]) ).
tcf(c_72,plain,
codomain(b) = domain(g),
inference(cnf_transformation,[],[f15]) ).
tcf(c_73,plain,
compose(b,h) = compose(b,g),
inference(cnf_transformation,[],[f16]) ).
tcf(c_74,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f18]) ).
tcf(c_148,negated_conjecture,
h != g,
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_220,plain,
codomain(codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_70,c_62]) ).
tcf(c_221,plain,
codomain(codomain(b)) = codomain(b),
inference(superposition,[status(thm)],[c_71,c_62]) ).
tcf(c_223,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_62,c_63]) ).
tcf(c_224,plain,
! [X0: $i] : codomain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_226,plain,
compose(codomain(a),b) = b,
inference(superposition,[status(thm)],[c_70,c_64]) ).
tcf(c_227,plain,
compose(codomain(b),h) = h,
inference(superposition,[status(thm)],[c_71,c_64]) ).
tcf(c_228,plain,
compose(codomain(b),g) = g,
inference(superposition,[status(thm)],[c_72,c_64]) ).
tcf(c_229,plain,
! [X0: $i] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_231,plain,
! [X0: $i] : compose(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_62,c_65]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_236,plain,
! [X0: $i] :
( ( domain(compose(X0,b)) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_66]) ).
tcf(c_237,plain,
! [X0: $i] :
( ( domain(compose(X0,h)) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_66]) ).
tcf(c_238,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,codomain(X1))) = domain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_235,c_223]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),X1)) = codomain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_67]) ).
tcf(c_261,plain,
! [X0: $i] :
( ( codomain(compose(X0,b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_262,plain,
! [X0: $i] :
( ( codomain(compose(X0,h)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_67]) ).
tcf(c_263,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_67]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),X0),X1) = compose(domain(X2),compose(X0,X1)) )
| ( domain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_68]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,b),X1) = compose(X0,compose(b,X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,h),X1) = compose(X0,compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_68]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X2,codomain(X0)),X1) = compose(X2,compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(X2) )
| ( codomain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X1,codomain(X0)),X2) = compose(X1,compose(codomain(X0),X2)) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_295,c_224]) ).
tcf(c_322,plain,
domain(codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_70,c_223]) ).
tcf(c_323,plain,
domain(codomain(b)) = codomain(b),
inference(superposition,[status(thm)],[c_71,c_223]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X2,domain(X0)),X1) = compose(X2,compose(domain(X0),X1)) )
| ( codomain(X2) != domain(X0) )
| ( codomain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_68]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_67]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,domain(X1))) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_66]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X0,domain(X1)),X2) = compose(X0,compose(domain(X1),X2)) )
| ( domain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_327,c_62]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X0),X1),X2) = compose(codomain(X0),compose(X1,X2)) )
| ( codomain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_68]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_67]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_66]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_343,c_63]) ).
tcf(c_366,plain,
compose(codomain(a),codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_70,c_231]) ).
tcf(c_367,plain,
compose(codomain(b),codomain(b)) = codomain(b),
inference(superposition,[status(thm)],[c_71,c_231]) ).
tcf(c_375,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_236]) ).
tcf(c_376,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_236]) ).
tcf(c_377,plain,
domain(compose(a,b)) = domain(a),
inference(equality_resolution,[status(thm)],[c_236]) ).
tcf(c_378,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_376,c_63]) ).
tcf(c_381,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_375,c_223]) ).
tcf(c_389,plain,
compose(domain(a),domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_377,c_231]) ).
tcf(c_390,plain,
domain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_377,c_223]) ).
tcf(c_391,plain,
compose(domain(a),compose(a,b)) = compose(a,b),
inference(superposition,[status(thm)],[c_377,c_64]) ).
tcf(c_392,plain,
codomain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_377,c_62]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,b)),X0) = compose(X1,compose(compose(a,b),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_377,c_68]) ).
tcf(c_394,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_67]) ).
tcf(c_395,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(a,b))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_66]) ).
tcf(c_414,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),h)) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_237]) ).
tcf(c_415,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),h)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_237]) ).
tcf(c_416,plain,
domain(compose(b,h)) = domain(b),
inference(equality_resolution,[status(thm)],[c_237]) ).
tcf(c_417,plain,
domain(compose(b,h)) = codomain(a),
inference(light_normalisation,[status(thm)],[c_416,c_70]) ).
tcf(c_418,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),h)) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_415,c_63]) ).
tcf(c_421,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),h)) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_414,c_223]) ).
tcf(c_440,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_238]) ).
tcf(c_441,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_238]) ).
tcf(c_442,plain,
domain(compose(b,g)) = domain(b),
inference(equality_resolution,[status(thm)],[c_238]) ).
tcf(c_444,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_441,c_63]) ).
tcf(c_447,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_440,c_223]) ).
tcf(c_460,plain,
! [X0: $i] :
( ( codomain(compose(a,b)) = X0 )
| ( codomain(compose(a,b)) != domain(X0) )
| ( domain(codomain(compose(a,b))) != codomain(compose(a,b)) )
| ( compose(compose(a,b),X0) != compose(a,b) ) ),
inference(superposition,[status(thm)],[c_65,c_69]) ).
tcf(c_463,plain,
! [X0: $i] :
( ( codomain(compose(a,b)) = X0 )
| ( codomain(compose(a,b)) != domain(X0) )
| ( compose(compose(a,b),X0) != compose(a,b) ) ),
inference(ground_joinability,[status(thm)],[c_460,c_63]) ).
tcf(c_475,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),b)) = codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_261]) ).
tcf(c_476,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_261]) ).
tcf(c_477,plain,
codomain(compose(a,b)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_261]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) )
| ( compose(compose(a,b),X0) != compose(compose(a,b),X1) ) ),
inference(demodulation,[status(thm)],[c_69,c_477]) ).
tcf(c_500,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),h)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_262]) ).
tcf(c_501,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),h)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_262]) ).
tcf(c_502,plain,
codomain(compose(b,h)) = codomain(h),
inference(equality_resolution,[status(thm)],[c_262]) ).
tcf(c_515,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),g)) = codomain(g) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_263]) ).
tcf(c_516,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),g)) = codomain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_263]) ).
tcf(c_517,plain,
codomain(compose(b,g)) = codomain(g),
inference(equality_resolution,[status(thm)],[c_263]) ).
tcf(c_518,plain,
codomain(h) = codomain(g),
inference(light_normalisation,[status(thm)],[c_517,c_73,c_502]) ).
tcf(c_523,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(demodulation,[status(thm)],[c_263,c_518]) ).
tcf(c_533,plain,
( ( codomain(compose(g,h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_262]) ).
tcf(c_534,plain,
( ( codomain(compose(g,b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_261]) ).
tcf(c_535,plain,
( ( domain(compose(g,g)) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_238]) ).
tcf(c_536,plain,
( ( domain(compose(g,h)) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_237]) ).
tcf(c_537,plain,
( ( domain(compose(g,b)) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_236]) ).
tcf(c_538,plain,
compose(codomain(h),codomain(h)) = codomain(h),
inference(superposition,[status(thm)],[c_518,c_229]) ).
tcf(c_539,plain,
codomain(codomain(h)) = codomain(h),
inference(superposition,[status(thm)],[c_518,c_224]) ).
tcf(c_540,plain,
compose(g,codomain(h)) = g,
inference(superposition,[status(thm)],[c_518,c_65]) ).
tcf(c_541,plain,
domain(codomain(h)) = codomain(h),
inference(superposition,[status(thm)],[c_518,c_63]) ).
tcf(c_542,plain,
( ( domain(compose(g,b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_537,c_72]) ).
tcf(c_545,plain,
( ( domain(compose(g,h)) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_536,c_72]) ).
tcf(c_548,plain,
( ( domain(compose(g,g)) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_535,c_72]) ).
tcf(c_581,plain,
compose(codomain(a),compose(b,h)) = compose(b,h),
inference(superposition,[status(thm)],[c_417,c_64]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(b,h)),X0) = compose(X1,compose(compose(b,h),X0)) )
| ( codomain(X1) != codomain(a) )
| ( codomain(compose(b,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_417,c_68]) ).
tcf(c_584,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_67]) ).
tcf(c_585,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(b,h))) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_66]) ).
tcf(c_588,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(b,h))) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_584,c_502]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(b,h)),X1) = compose(X0,compose(compose(b,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_583,c_502]) ).
tcf(c_602,plain,
codomain(compose(compose(a,b),h)) = codomain(h),
inference(superposition,[status(thm)],[c_477,c_262]) ).
tcf(c_603,plain,
( ( codomain(compose(compose(a,b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_261]) ).
tcf(c_604,plain,
domain(compose(compose(a,b),g)) = domain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_238]) ).
tcf(c_605,plain,
domain(compose(compose(a,b),h)) = domain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_237]) ).
tcf(c_606,plain,
( ( domain(compose(compose(a,b),b)) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_236]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),X0),X1) = compose(compose(a,b),compose(X0,X1)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_477,c_68]) ).
tcf(c_610,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_67]) ).
tcf(c_611,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = domain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_66]) ).
tcf(c_612,plain,
compose(compose(a,b),codomain(b)) = compose(a,b),
inference(superposition,[status(thm)],[c_477,c_65]) ).
tcf(c_614,plain,
domain(compose(compose(a,b),h)) = domain(a),
inference(light_normalisation,[status(thm)],[c_605,c_377]) ).
tcf(c_615,plain,
domain(compose(compose(a,b),g)) = domain(a),
inference(light_normalisation,[status(thm)],[c_604,c_377]) ).
tcf(c_620,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_611,c_377]) ).
tcf(c_623,plain,
( ( domain(compose(compose(a,b),b)) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_606,c_377]) ).
tcf(c_639,plain,
( ( codomain(compose(compose(b,h),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_262]) ).
tcf(c_640,plain,
( ( codomain(compose(compose(b,h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_261]) ).
tcf(c_641,plain,
( ( domain(compose(compose(b,h),g)) = domain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_238]) ).
tcf(c_642,plain,
( ( domain(compose(compose(b,h),h)) = domain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_237]) ).
tcf(c_643,plain,
( ( domain(compose(compose(b,h),b)) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_236]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),X0),X1) = compose(compose(b,h),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_502,c_68]) ).
tcf(c_647,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_67]) ).
tcf(c_648,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),X0)) = domain(compose(b,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_66]) ).
tcf(c_649,plain,
compose(compose(b,h),codomain(h)) = compose(b,h),
inference(superposition,[status(thm)],[c_502,c_65]) ).
tcf(c_657,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),X0)) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_648,c_417]) ).
tcf(c_660,plain,
( ( domain(compose(compose(b,h),b)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_643,c_417]) ).
tcf(c_663,plain,
( ( domain(compose(compose(b,h),h)) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_642,c_417]) ).
tcf(c_666,plain,
( ( domain(compose(compose(b,h),g)) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_641,c_417]) ).
tcf(c_711,plain,
( ( codomain(compose(compose(compose(a,b),h),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_262]) ).
tcf(c_712,plain,
( ( codomain(compose(compose(compose(a,b),h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_261]) ).
tcf(c_713,plain,
( ( domain(compose(compose(compose(a,b),h),g)) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_238]) ).
tcf(c_714,plain,
( ( domain(compose(compose(compose(a,b),h),h)) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_237]) ).
tcf(c_715,plain,
( ( domain(compose(compose(compose(a,b),h),b)) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_236]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),X1) = compose(compose(compose(a,b),h),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_602,c_68]) ).
tcf(c_719,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_67]) ).
tcf(c_720,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),X0)) = domain(compose(compose(a,b),h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_66]) ).
tcf(c_721,plain,
compose(compose(compose(a,b),h),codomain(h)) = compose(compose(a,b),h),
inference(superposition,[status(thm)],[c_602,c_65]) ).
tcf(c_729,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),X0)) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_720,c_614]) ).
tcf(c_732,plain,
( ( domain(compose(compose(compose(a,b),h),b)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_715,c_614]) ).
tcf(c_735,plain,
( ( domain(compose(compose(compose(a,b),h),h)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_714,c_614]) ).
tcf(c_738,plain,
( ( domain(compose(compose(compose(a,b),h),g)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_713,c_614]) ).
tcf(c_756,plain,
compose(domain(a),compose(compose(a,b),h)) = compose(compose(a,b),h),
inference(superposition,[status(thm)],[c_614,c_64]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(compose(a,b),h)),X0) = compose(X1,compose(compose(compose(a,b),h),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(compose(a,b),h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_614,c_68]) ).
tcf(c_759,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_67]) ).
tcf(c_760,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(compose(a,b),h))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_66]) ).
tcf(c_763,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(compose(a,b),h))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_759,c_602]) ).
tcf(c_766,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),X1) = compose(X0,compose(compose(compose(a,b),h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_758,c_602]) ).
tcf(c_782,plain,
compose(domain(a),compose(compose(a,b),g)) = compose(compose(a,b),g),
inference(superposition,[status(thm)],[c_615,c_64]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(compose(a,b),g)),X0) = compose(X1,compose(compose(compose(a,b),g),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(compose(a,b),g)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_615,c_68]) ).
tcf(c_785,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_67]) ).
tcf(c_786,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(compose(a,b),g))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_66]) ).
tcf(c_807,plain,
codomain(compose(compose(a,b),g)) = codomain(h),
inference(superposition,[status(thm)],[c_477,c_523]) ).
tcf(c_808,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),g)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_523]) ).
tcf(c_809,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),g)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_523]) ).
tcf(c_810,plain,
( ( codomain(compose(g,g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_523]) ).
tcf(c_811,plain,
( ( codomain(compose(compose(b,h),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_523]) ).
tcf(c_812,plain,
( ( codomain(compose(compose(compose(a,b),h),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_523]) ).
tcf(c_813,plain,
codomain(compose(b,g)) = codomain(h),
inference(equality_resolution,[status(thm)],[c_523]) ).
tcf(c_852,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),h),X0) = compose(compose(a,b),compose(h,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_293]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),h),X1) = compose(domain(X0),compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_293]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),h),X1) = compose(codomain(X0),compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_293]) ).
tcf(c_855,plain,
! [X0: $i] :
( ( compose(compose(g,h),X0) = compose(g,compose(h,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_293]) ).
tcf(c_856,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),h),X0) = compose(compose(b,h),compose(h,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_293]) ).
tcf(c_857,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),h),X0) = compose(compose(compose(a,b),h),compose(h,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_293]) ).
tcf(c_858,plain,
! [X0: $i] :
( ( compose(compose(b,h),X0) = compose(b,compose(h,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_293]) ).
tcf(c_918,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(X0))) = domain(compose(a,b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_239]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(X0))) = domain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_239]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(X1))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_239]) ).
tcf(c_921,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_239]) ).
tcf(c_922,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),codomain(X0))) = domain(compose(b,h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_239]) ).
tcf(c_923,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),codomain(X0))) = domain(compose(compose(a,b),h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_239]) ).
tcf(c_924,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(compose(a,b)))) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_239]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,codomain(domain(X1)))) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_239]) ).
tcf(c_926,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,codomain(codomain(X1)))) = domain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_239]) ).
tcf(c_927,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(g))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_239]) ).
tcf(c_928,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(compose(b,h)))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_239]) ).
tcf(c_929,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(compose(compose(a,b),h)))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_239]) ).
tcf(c_930,plain,
! [X0: $i] : domain(compose(X0,codomain(X0))) = domain(X0),
inference(equality_resolution,[status(thm)],[c_239]) ).
tcf(c_932,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(h))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_927,c_518]) ).
tcf(c_935,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_921,c_72]) ).
tcf(c_943,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(b))) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_924,c_477]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(X1))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_920,c_63]) ).
tcf(c_952,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),codomain(X0))) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_922,c_417]) ).
tcf(c_955,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_918,c_377]) ).
tcf(c_958,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_923,c_614]) ).
tcf(c_997,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),codomain(X0))) = domain(compose(compose(a,b),g)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_239]) ).
tcf(c_998,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),g),h),X0) = compose(compose(compose(a,b),g),compose(h,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_293]) ).
tcf(c_999,plain,
( ( codomain(compose(compose(compose(a,b),g),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_523]) ).
tcf(c_1000,plain,
( ( codomain(compose(compose(compose(a,b),g),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_262]) ).
tcf(c_1001,plain,
( ( codomain(compose(compose(compose(a,b),g),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_261]) ).
tcf(c_1002,plain,
( ( domain(compose(compose(compose(a,b),g),g)) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_238]) ).
tcf(c_1003,plain,
( ( domain(compose(compose(compose(a,b),g),h)) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_237]) ).
tcf(c_1004,plain,
( ( domain(compose(compose(compose(a,b),g),b)) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_236]) ).
tcf(c_1007,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),g),X0),X1) = compose(compose(compose(a,b),g),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_807,c_68]) ).
tcf(c_1008,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),g),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_67]) ).
tcf(c_1009,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),X0)) = domain(compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_66]) ).
tcf(c_1010,plain,
compose(compose(compose(a,b),g),codomain(h)) = compose(compose(a,b),g),
inference(superposition,[status(thm)],[c_807,c_65]) ).
tcf(c_1012,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(compose(compose(a,b),g)))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_239]) ).
tcf(c_1022,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),X0)) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1009,c_615]) ).
tcf(c_1025,plain,
( ( domain(compose(compose(compose(a,b),g),b)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1004,c_615]) ).
tcf(c_1028,plain,
( ( domain(compose(compose(compose(a,b),g),h)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1003,c_615]) ).
tcf(c_1031,plain,
( ( domain(compose(compose(compose(a,b),g),g)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1002,c_615]) ).
tcf(c_1034,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_997,c_615]) ).
tcf(c_1106,plain,
! [X0: $i] :
( ( domain(compose(domain(b),X0)) = domain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_248]) ).
tcf(c_1107,plain,
! [X0: $i] :
( ( domain(compose(domain(h),X0)) = domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_248]) ).
tcf(c_1108,plain,
! [X0: $i] :
( ( domain(compose(domain(g),X0)) = domain(g) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_248]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(codomain(X0)),X1)) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_248]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(domain(X0)),X1)) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_248]) ).
tcf(c_1111,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(b,h)),X0)) = domain(compose(b,h)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_248]) ).
tcf(c_1112,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,b)),X0)) = domain(compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_248]) ).
tcf(c_1113,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),g)),X0)) = domain(compose(compose(a,b),g)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_248]) ).
tcf(c_1114,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),h)),X0)) = domain(compose(compose(a,b),h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_248]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(X0))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_248]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(X1))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_248]) ).
tcf(c_1120,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(b,h))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_248]) ).
tcf(c_1121,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,b))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_248]) ).
tcf(c_1122,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(compose(a,b),g))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_248]) ).
tcf(c_1123,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(compose(a,b),h))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_248]) ).
tcf(c_1124,plain,
! [X0: $i] : domain(compose(domain(X0),X0)) = domain(X0),
inference(equality_resolution,[status(thm)],[c_248]) ).
tcf(c_1126,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),X0)) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1108,c_72]) ).
tcf(c_1130,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),X0)) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1106,c_70]) ).
tcf(c_1147,plain,
! [X0: $i] :
( ( domain(compose(domain(a),X0)) = domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1112,c_377]) ).
tcf(c_1201,plain,
! [X0: $i] :
( ( codomain(compose(domain(b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_260]) ).
tcf(c_1202,plain,
! [X0: $i] :
( ( codomain(compose(domain(h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_260]) ).
tcf(c_1203,plain,
! [X0: $i] :
( ( codomain(compose(domain(g),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_260]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(codomain(X0)),X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_260]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(domain(X0)),X1)) = codomain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_260]) ).
tcf(c_1206,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(b,h)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_260]) ).
tcf(c_1207,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,b)),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_260]) ).
tcf(c_1208,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),g)),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_260]) ).
tcf(c_1209,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),h)),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_260]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_260]) ).
tcf(c_1214,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),domain(X1))) = codomain(domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_260]) ).
tcf(c_1215,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(b,h))) = codomain(compose(b,h)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_260]) ).
tcf(c_1216,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,b))) = codomain(compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_260]) ).
tcf(c_1217,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_260]) ).
tcf(c_1218,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_260]) ).
tcf(c_1219,plain,
! [X0: $i] : codomain(compose(domain(X0),X0)) = codomain(X0),
inference(equality_resolution,[status(thm)],[c_260]) ).
tcf(c_1221,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1203,c_72]) ).
tcf(c_1225,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1201,c_70]) ).
tcf(c_1232,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1213,c_224]) ).
tcf(c_1235,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1207,c_377]) ).
tcf(c_1239,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,b))) = codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1216,c_477]) ).
tcf(c_1242,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(b,h))) = codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1215,c_502]) ).
tcf(c_1247,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(compose(a,b),h))) = codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1218,c_602]) ).
tcf(c_1250,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(compose(a,b),g))) = codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1217,c_807]) ).
tcf(c_1297,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(X0))) = domain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_329]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(X1))) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_329]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(X1))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_329]) ).
tcf(c_1300,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),domain(X0))) = domain(compose(b,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_329]) ).
tcf(c_1301,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),domain(X0))) = domain(compose(compose(a,b),h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_329]) ).
tcf(c_1302,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),domain(X0))) = domain(compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_329]) ).
tcf(c_1303,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(b))) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_329]) ).
tcf(c_1304,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(h))) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_329]) ).
tcf(c_1305,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(g))) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_329]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,domain(codomain(X1)))) = domain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_329]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,domain(domain(X1)))) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_329]) ).
tcf(c_1308,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(compose(b,h)))) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_329]) ).
tcf(c_1309,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(compose(a,b)))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_329]) ).
tcf(c_1310,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(compose(compose(a,b),g)))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_329]) ).
tcf(c_1311,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(compose(compose(a,b),h)))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_329]) ).
tcf(c_1314,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(a))) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1303,c_70]) ).
tcf(c_1321,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(a))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1309,c_377]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(X1))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1299,c_63]) ).
tcf(c_1331,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),domain(X0))) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1300,c_417]) ).
tcf(c_1334,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1297,c_377]) ).
tcf(c_1337,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1302,c_615]) ).
tcf(c_1340,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1301,c_614]) ).
tcf(c_1356,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,b)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_342]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(domain(X0)),X1)) = codomain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_342]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(codomain(X0)),X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_342]) ).
tcf(c_1359,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(b,h)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_342]) ).
tcf(c_1360,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),h)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_342]) ).
tcf(c_1361,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),g)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_342]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(X1))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_342]) ).
tcf(c_1366,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(X1))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_342]) ).
tcf(c_1367,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_342]) ).
tcf(c_1368,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_342]) ).
tcf(c_1369,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_342]) ).
tcf(c_1370,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_342]) ).
tcf(c_1377,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1359,c_502]) ).
tcf(c_1381,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1368,c_477]) ).
tcf(c_1384,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(b,h))) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1367,c_502]) ).
tcf(c_1389,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1370,c_602]) ).
tcf(c_1392,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1369,c_807]) ).
tcf(c_1462,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_294,c_518]) ).
tcf(c_1472,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),X0) = compose(compose(a,b),compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_1462]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),g),X1) = compose(domain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_1462]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),g),X1) = compose(codomain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_1462]) ).
tcf(c_1475,plain,
! [X0: $i] :
( ( compose(compose(g,g),X0) = compose(g,compose(g,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_1462]) ).
tcf(c_1476,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),g),X0) = compose(compose(b,h),compose(g,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1462]) ).
tcf(c_1477,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),g),X0) = compose(compose(compose(a,b),h),compose(g,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1462]) ).
tcf(c_1478,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),g),g),X0) = compose(compose(compose(a,b),g),compose(g,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1462]) ).
tcf(c_1479,plain,
! [X0: $i] :
( ( compose(compose(b,g),X0) = compose(b,compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_1462]) ).
tcf(c_1480,plain,
! [X0: $i] :
( ( compose(compose(b,h),X0) = compose(b,compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1479,c_73]) ).
tcf(c_1515,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,b)),X0)) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_348]) ).
tcf(c_1516,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(domain(X0)),X1)) = codomain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_348]) ).
tcf(c_1517,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(codomain(X0)),X1)) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_348]) ).
tcf(c_1518,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(b,h)),X0)) = codomain(compose(b,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_348]) ).
tcf(c_1519,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),h)),X0)) = codomain(compose(compose(a,b),h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_348]) ).
tcf(c_1520,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),g)),X0)) = codomain(compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_348]) ).
tcf(c_1526,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(b,h))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_348]) ).
tcf(c_1527,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,b))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_348]) ).
tcf(c_1528,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(compose(a,b),g))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_348]) ).
tcf(c_1529,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(compose(a,b),h))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_348]) ).
tcf(c_1540,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),X0)) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1518,c_502]) ).
tcf(c_1555,plain,
domain(compose(domain(b),b)) = domain(b),
inference(superposition,[status(thm)],[c_70,c_381]) ).
tcf(c_1556,plain,
( ( domain(compose(domain(h),b)) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_381]) ).
tcf(c_1557,plain,
( ( domain(compose(domain(g),b)) = domain(g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_381]) ).
tcf(c_1558,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),b)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_381]) ).
tcf(c_1559,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),b)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_381]) ).
tcf(c_1560,plain,
domain(compose(domain(compose(b,h)),b)) = domain(compose(b,h)),
inference(superposition,[status(thm)],[c_417,c_381]) ).
tcf(c_1561,plain,
( ( domain(compose(domain(compose(a,b)),b)) = domain(compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_381]) ).
tcf(c_1562,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),b)) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_381]) ).
tcf(c_1563,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),b)) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_381]) ).
tcf(c_1566,plain,
( ( domain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1557,c_72]) ).
tcf(c_1572,plain,
( ( domain(compose(domain(a),b)) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1561,c_377]) ).
tcf(c_1581,plain,
( ( domain(compose(domain(b),h)) = domain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_421]) ).
tcf(c_1582,plain,
domain(compose(domain(h),h)) = domain(h),
inference(superposition,[status(thm)],[c_71,c_421]) ).
tcf(c_1583,plain,
domain(compose(domain(g),h)) = domain(g),
inference(superposition,[status(thm)],[c_72,c_421]) ).
tcf(c_1584,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),h)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_421]) ).
tcf(c_1585,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),h)) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_421]) ).
tcf(c_1586,plain,
( ( domain(compose(domain(compose(b,h)),h)) = domain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_421]) ).
tcf(c_1587,plain,
( ( domain(compose(domain(compose(a,b)),h)) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_421]) ).
tcf(c_1588,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),h)) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_421]) ).
tcf(c_1589,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),h)) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_421]) ).
tcf(c_1592,plain,
( ( domain(compose(codomain(a),h)) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1581,c_70]) ).
tcf(c_1597,plain,
( ( domain(compose(domain(a),h)) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1587,c_377]) ).
tcf(c_1607,plain,
( ( domain(compose(domain(b),g)) = domain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_447]) ).
tcf(c_1608,plain,
domain(compose(domain(h),g)) = domain(h),
inference(superposition,[status(thm)],[c_71,c_447]) ).
tcf(c_1609,plain,
domain(compose(domain(g),g)) = domain(g),
inference(superposition,[status(thm)],[c_72,c_447]) ).
tcf(c_1610,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),g)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_447]) ).
tcf(c_1611,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),g)) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_447]) ).
tcf(c_1612,plain,
( ( domain(compose(domain(compose(b,h)),g)) = domain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_447]) ).
tcf(c_1613,plain,
( ( domain(compose(domain(compose(a,b)),g)) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_447]) ).
tcf(c_1614,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),g)) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_447]) ).
tcf(c_1615,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),g)) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_447]) ).
tcf(c_1618,plain,
( ( domain(compose(codomain(a),g)) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1607,c_70]) ).
tcf(c_1623,plain,
( ( domain(compose(domain(a),g)) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1613,c_377]) ).
tcf(c_1647,plain,
( ( domain(compose(codomain(compose(a,b)),b)) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_378]) ).
tcf(c_1648,plain,
! [X0: $i] :
( ( domain(compose(codomain(domain(X0)),b)) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_378]) ).
tcf(c_1649,plain,
! [X0: $i] :
( ( domain(compose(codomain(codomain(X0)),b)) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_378]) ).
tcf(c_1650,plain,
( ( domain(compose(codomain(g),b)) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_378]) ).
tcf(c_1651,plain,
( ( domain(compose(codomain(compose(b,h)),b)) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_378]) ).
tcf(c_1652,plain,
( ( domain(compose(codomain(compose(compose(a,b),h)),b)) = codomain(compose(compose(a,b),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_378]) ).
tcf(c_1653,plain,
( ( domain(compose(codomain(compose(compose(a,b),g)),b)) = codomain(compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_378]) ).
tcf(c_1654,plain,
domain(compose(codomain(a),b)) = codomain(a),
inference(equality_resolution,[status(thm)],[c_378]) ).
tcf(c_1656,plain,
( ( domain(compose(codomain(h),b)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1650,c_518]) ).
tcf(c_1669,plain,
domain(compose(codomain(compose(a,b)),h)) = codomain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_418]) ).
tcf(c_1670,plain,
! [X0: $i] :
( ( domain(compose(codomain(domain(X0)),h)) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_418]) ).
tcf(c_1671,plain,
! [X0: $i] :
( ( domain(compose(codomain(codomain(X0)),h)) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_418]) ).
tcf(c_1672,plain,
( ( domain(compose(codomain(g),h)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_418]) ).
tcf(c_1673,plain,
( ( domain(compose(codomain(compose(b,h)),h)) = codomain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_418]) ).
tcf(c_1674,plain,
( ( domain(compose(codomain(compose(compose(a,b),h)),h)) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_418]) ).
tcf(c_1675,plain,
( ( domain(compose(codomain(compose(compose(a,b),g)),h)) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_418]) ).
tcf(c_1676,plain,
domain(compose(codomain(b),h)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_418]) ).
tcf(c_1679,plain,
( ( domain(compose(codomain(h),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1672,c_518]) ).
tcf(c_1710,plain,
domain(compose(codomain(compose(a,b)),g)) = codomain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_444]) ).
tcf(c_1711,plain,
! [X0: $i] :
( ( domain(compose(codomain(domain(X0)),g)) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_444]) ).
tcf(c_1712,plain,
! [X0: $i] :
( ( domain(compose(codomain(codomain(X0)),g)) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_444]) ).
tcf(c_1713,plain,
( ( domain(compose(codomain(g),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_444]) ).
tcf(c_1714,plain,
( ( domain(compose(codomain(compose(b,h)),g)) = codomain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_444]) ).
tcf(c_1715,plain,
( ( domain(compose(codomain(compose(compose(a,b),h)),g)) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_444]) ).
tcf(c_1716,plain,
( ( domain(compose(codomain(compose(compose(a,b),g)),g)) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_444]) ).
tcf(c_1717,plain,
domain(compose(codomain(b),g)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_444]) ).
tcf(c_1720,plain,
( ( domain(compose(codomain(h),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1713,c_518]) ).
tcf(c_1732,plain,
codomain(compose(domain(b),b)) = codomain(b),
inference(superposition,[status(thm)],[c_70,c_475]) ).
tcf(c_1733,plain,
( ( codomain(compose(domain(h),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_475]) ).
tcf(c_1734,plain,
( ( codomain(compose(domain(g),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_475]) ).
tcf(c_1735,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_475]) ).
tcf(c_1736,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),b)) = codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_475]) ).
tcf(c_1737,plain,
codomain(compose(domain(compose(b,h)),b)) = codomain(b),
inference(superposition,[status(thm)],[c_417,c_475]) ).
tcf(c_1738,plain,
( ( codomain(compose(domain(compose(a,b)),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_475]) ).
tcf(c_1739,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_475]) ).
tcf(c_1740,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_475]) ).
tcf(c_1743,plain,
( ( codomain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1734,c_72]) ).
tcf(c_1749,plain,
( ( codomain(compose(domain(a),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1738,c_377]) ).
tcf(c_1758,plain,
( ( codomain(compose(codomain(compose(a,b)),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_476]) ).
tcf(c_1759,plain,
! [X0: $i] :
( ( codomain(compose(codomain(domain(X0)),b)) = codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_476]) ).
tcf(c_1760,plain,
! [X0: $i] :
( ( codomain(compose(codomain(codomain(X0)),b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_476]) ).
tcf(c_1761,plain,
( ( codomain(compose(codomain(g),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_476]) ).
tcf(c_1762,plain,
( ( codomain(compose(codomain(compose(b,h)),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_476]) ).
tcf(c_1763,plain,
( ( codomain(compose(codomain(compose(compose(a,b),h)),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_476]) ).
tcf(c_1764,plain,
( ( codomain(compose(codomain(compose(compose(a,b),g)),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_476]) ).
tcf(c_1765,plain,
codomain(compose(codomain(a),b)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_476]) ).
tcf(c_1767,plain,
( ( codomain(compose(codomain(h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1761,c_518]) ).
tcf(c_1780,plain,
( ( codomain(compose(domain(b),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_500]) ).
tcf(c_1781,plain,
codomain(compose(domain(h),h)) = codomain(h),
inference(superposition,[status(thm)],[c_71,c_500]) ).
tcf(c_1782,plain,
codomain(compose(domain(g),h)) = codomain(h),
inference(superposition,[status(thm)],[c_72,c_500]) ).
tcf(c_1783,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),h)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_500]) ).
tcf(c_1784,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),h)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_500]) ).
tcf(c_1785,plain,
( ( codomain(compose(domain(compose(b,h)),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_500]) ).
tcf(c_1786,plain,
( ( codomain(compose(domain(compose(a,b)),h)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_500]) ).
tcf(c_1787,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),h)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_500]) ).
tcf(c_1788,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),h)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_500]) ).
tcf(c_1791,plain,
( ( codomain(compose(codomain(a),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1780,c_70]) ).
tcf(c_1796,plain,
( ( codomain(compose(domain(a),h)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1786,c_377]) ).
tcf(c_1806,plain,
codomain(compose(codomain(compose(a,b)),h)) = codomain(h),
inference(superposition,[status(thm)],[c_477,c_501]) ).
tcf(c_1807,plain,
! [X0: $i] :
( ( codomain(compose(codomain(domain(X0)),h)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_501]) ).
tcf(c_1808,plain,
! [X0: $i] :
( ( codomain(compose(codomain(codomain(X0)),h)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_501]) ).
tcf(c_1809,plain,
( ( codomain(compose(codomain(g),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_501]) ).
tcf(c_1810,plain,
( ( codomain(compose(codomain(compose(b,h)),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_501]) ).
tcf(c_1811,plain,
( ( codomain(compose(codomain(compose(compose(a,b),h)),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_501]) ).
tcf(c_1812,plain,
( ( codomain(compose(codomain(compose(compose(a,b),g)),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_501]) ).
tcf(c_1813,plain,
codomain(compose(codomain(b),h)) = codomain(h),
inference(equality_resolution,[status(thm)],[c_501]) ).
tcf(c_1816,plain,
( ( codomain(compose(codomain(h),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1809,c_518]) ).
tcf(c_1838,plain,
( ( codomain(compose(domain(b),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_808]) ).
tcf(c_1839,plain,
codomain(compose(domain(h),g)) = codomain(h),
inference(superposition,[status(thm)],[c_71,c_808]) ).
tcf(c_1840,plain,
codomain(compose(domain(g),g)) = codomain(h),
inference(superposition,[status(thm)],[c_72,c_808]) ).
tcf(c_1841,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),g)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_808]) ).
tcf(c_1842,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),g)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_808]) ).
tcf(c_1843,plain,
( ( codomain(compose(domain(compose(b,h)),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_808]) ).
tcf(c_1844,plain,
( ( codomain(compose(domain(compose(a,b)),g)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_808]) ).
tcf(c_1845,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),g)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_808]) ).
tcf(c_1846,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),g)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_808]) ).
tcf(c_1849,plain,
( ( codomain(compose(codomain(a),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1838,c_70]) ).
tcf(c_1854,plain,
( ( codomain(compose(domain(a),g)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1844,c_377]) ).
tcf(c_1864,plain,
codomain(compose(codomain(compose(a,b)),g)) = codomain(h),
inference(superposition,[status(thm)],[c_477,c_809]) ).
tcf(c_1865,plain,
! [X0: $i] :
( ( codomain(compose(codomain(domain(X0)),g)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_809]) ).
tcf(c_1866,plain,
! [X0: $i] :
( ( codomain(compose(codomain(codomain(X0)),g)) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_809]) ).
tcf(c_1867,plain,
( ( codomain(compose(codomain(g),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_809]) ).
tcf(c_1868,plain,
( ( codomain(compose(codomain(compose(b,h)),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_809]) ).
tcf(c_1869,plain,
( ( codomain(compose(codomain(compose(compose(a,b),h)),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_809]) ).
tcf(c_1870,plain,
( ( codomain(compose(codomain(compose(compose(a,b),g)),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_809]) ).
tcf(c_1871,plain,
codomain(compose(codomain(b),g)) = codomain(h),
inference(equality_resolution,[status(thm)],[c_809]) ).
tcf(c_1874,plain,
( ( codomain(compose(codomain(h),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1867,c_518]) ).
tcf(c_1886,plain,
( ( domain(compose(compose(a,b),compose(b,h))) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_585]) ).
tcf(c_1887,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(b,h))) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_585]) ).
tcf(c_1888,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(b,h))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_585]) ).
tcf(c_1889,plain,
( ( domain(compose(g,compose(b,h))) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_585]) ).
tcf(c_1890,plain,
( ( domain(compose(compose(b,h),compose(b,h))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_585]) ).
tcf(c_1891,plain,
( ( domain(compose(compose(compose(a,b),h),compose(b,h))) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_585]) ).
tcf(c_1892,plain,
( ( domain(compose(compose(compose(a,b),g),compose(b,h))) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_585]) ).
tcf(c_1893,plain,
domain(compose(a,compose(b,h))) = domain(a),
inference(equality_resolution,[status(thm)],[c_585]) ).
tcf(c_1894,plain,
( ( domain(compose(g,compose(b,h))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1889,c_72]) ).
tcf(c_1899,plain,
( ( domain(compose(compose(b,h),compose(b,h))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1890,c_417]) ).
tcf(c_1902,plain,
( ( domain(compose(compose(a,b),compose(b,h))) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1886,c_377]) ).
tcf(c_1905,plain,
( ( domain(compose(compose(compose(a,b),g),compose(b,h))) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1892,c_615]) ).
tcf(c_1908,plain,
( ( domain(compose(compose(compose(a,b),h),compose(b,h))) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1891,c_614]) ).
tcf(c_1932,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),codomain(X0))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_1126]) ).
tcf(c_1933,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),domain(X0))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_1126]) ).
tcf(c_1934,plain,
( ( domain(compose(codomain(b),compose(b,h))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_1126]) ).
tcf(c_1935,plain,
( ( domain(compose(codomain(b),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1126]) ).
tcf(c_1936,plain,
( ( domain(compose(codomain(b),compose(compose(a,b),g))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1126]) ).
tcf(c_1937,plain,
( ( domain(compose(codomain(b),compose(compose(a,b),h))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1126]) ).
tcf(c_1989,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),codomain(X0))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1130]) ).
tcf(c_1990,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),domain(X0))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1130]) ).
tcf(c_1991,plain,
domain(compose(codomain(a),compose(b,h))) = codomain(a),
inference(superposition,[status(thm)],[c_417,c_1130]) ).
tcf(c_1992,plain,
( ( domain(compose(codomain(a),compose(a,b))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1130]) ).
tcf(c_1993,plain,
( ( domain(compose(codomain(a),compose(compose(a,b),g))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1130]) ).
tcf(c_1994,plain,
( ( domain(compose(codomain(a),compose(compose(a,b),h))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1130]) ).
tcf(c_2043,plain,
codomain(compose(codomain(b),g)) = codomain(g),
inference(superposition,[status(thm)],[c_72,c_1221]) ).
tcf(c_2044,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_1221]) ).
tcf(c_2045,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_1221]) ).
tcf(c_2046,plain,
( ( codomain(compose(codomain(b),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_1221]) ).
tcf(c_2047,plain,
( ( codomain(compose(codomain(b),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1221]) ).
tcf(c_2048,plain,
( ( codomain(compose(codomain(b),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1221]) ).
tcf(c_2049,plain,
( ( codomain(compose(codomain(b),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1221]) ).
tcf(c_2051,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2045,c_62]) ).
tcf(c_2054,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2044,c_224]) ).
tcf(c_2057,plain,
( ( codomain(compose(codomain(b),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2047,c_477]) ).
tcf(c_2060,plain,
( ( codomain(compose(codomain(b),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2046,c_502]) ).
tcf(c_2063,plain,
( ( codomain(compose(codomain(b),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2049,c_602]) ).
tcf(c_2066,plain,
( ( codomain(compose(codomain(b),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2048,c_807]) ).
tcf(c_2085,plain,
( ( codomain(compose(codomain(a),g)) = codomain(g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1225]) ).
tcf(c_2086,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1225]) ).
tcf(c_2087,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1225]) ).
tcf(c_2088,plain,
codomain(compose(codomain(a),compose(b,h))) = codomain(compose(b,h)),
inference(superposition,[status(thm)],[c_417,c_1225]) ).
tcf(c_2089,plain,
( ( codomain(compose(codomain(a),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1225]) ).
tcf(c_2090,plain,
( ( codomain(compose(codomain(a),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1225]) ).
tcf(c_2091,plain,
( ( codomain(compose(codomain(a),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1225]) ).
tcf(c_2094,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2087,c_62]) ).
tcf(c_2097,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2086,c_224]) ).
tcf(c_2100,plain,
( ( codomain(compose(codomain(a),compose(a,b))) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2089,c_477]) ).
tcf(c_2103,plain,
( ( codomain(compose(codomain(a),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2091,c_602]) ).
tcf(c_2106,plain,
( ( codomain(compose(codomain(a),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2090,c_807]) ).
tcf(c_2142,plain,
( ( codomain(compose(codomain(a),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1225]) ).
tcf(c_2143,plain,
( ( codomain(compose(codomain(b),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1221]) ).
tcf(c_2144,plain,
( ( domain(compose(codomain(a),compose(a,compose(b,h)))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1130]) ).
tcf(c_2145,plain,
( ( domain(compose(codomain(b),compose(a,compose(b,h)))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1126]) ).
tcf(c_2146,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),g)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_808]) ).
tcf(c_2147,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),h)) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_500]) ).
tcf(c_2148,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_475]) ).
tcf(c_2149,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),g)) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_447]) ).
tcf(c_2150,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),h)) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_421]) ).
tcf(c_2151,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),b)) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_381]) ).
tcf(c_2152,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,compose(b,h))),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_260]) ).
tcf(c_2153,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,compose(b,h))),X0)) = domain(compose(a,compose(b,h))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_248]) ).
tcf(c_2156,plain,
compose(domain(a),compose(a,compose(b,h))) = compose(a,compose(b,h)),
inference(superposition,[status(thm)],[c_1893,c_64]) ).
tcf(c_2158,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,compose(b,h)))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_348]) ).
tcf(c_2159,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_342]) ).
tcf(c_2160,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(compose(a,compose(b,h))))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_329]) ).
tcf(c_2161,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_260]) ).
tcf(c_2162,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,compose(b,h)))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_248]) ).
tcf(c_2163,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,compose(b,h))),X0) = compose(X1,compose(compose(a,compose(b,h)),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,compose(b,h))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_1893,c_68]) ).
tcf(c_2164,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_67]) ).
tcf(c_2165,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(a,compose(b,h)))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_66]) ).
tcf(c_2224,plain,
( ( domain(compose(g,codomain(compose(a,b)))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_935]) ).
tcf(c_2225,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(domain(X0)))) = codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_935]) ).
tcf(c_2226,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(codomain(X0)))) = codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_935]) ).
tcf(c_2227,plain,
domain(compose(g,codomain(g))) = codomain(b),
inference(superposition,[status(thm)],[c_518,c_935]) ).
tcf(c_2228,plain,
domain(compose(g,codomain(compose(b,h)))) = codomain(b),
inference(superposition,[status(thm)],[c_502,c_935]) ).
tcf(c_2229,plain,
domain(compose(g,codomain(compose(compose(a,b),h)))) = codomain(b),
inference(superposition,[status(thm)],[c_602,c_935]) ).
tcf(c_2230,plain,
domain(compose(g,codomain(compose(compose(a,b),g)))) = codomain(b),
inference(superposition,[status(thm)],[c_807,c_935]) ).
tcf(c_2231,plain,
domain(compose(g,codomain(h))) = codomain(b),
inference(equality_resolution,[status(thm)],[c_935]) ).
tcf(c_2238,plain,
! [X0: $i] :
( ( domain(compose(g,domain(X0))) = codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2225,c_62]) ).
tcf(c_2241,plain,
( ( domain(compose(g,codomain(b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2224,c_477]) ).
tcf(c_2251,plain,
! [X0: $i] :
( ( domain(compose(domain(a),codomain(X0))) = domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1147]) ).
tcf(c_2252,plain,
! [X0: $i] :
( ( domain(compose(domain(a),domain(X0))) = domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1147]) ).
tcf(c_2253,plain,
( ( domain(compose(domain(a),compose(b,h))) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1147]) ).
tcf(c_2254,plain,
domain(compose(domain(a),compose(a,b))) = domain(a),
inference(superposition,[status(thm)],[c_377,c_1147]) ).
tcf(c_2255,plain,
domain(compose(domain(a),compose(compose(a,b),g))) = domain(a),
inference(superposition,[status(thm)],[c_615,c_1147]) ).
tcf(c_2256,plain,
domain(compose(domain(a),compose(compose(a,b),h))) = domain(a),
inference(superposition,[status(thm)],[c_614,c_1147]) ).
tcf(c_2257,plain,
domain(compose(domain(a),compose(a,compose(b,h)))) = domain(a),
inference(superposition,[status(thm)],[c_1893,c_1147]) ).
tcf(c_2258,plain,
domain(compose(domain(a),a)) = domain(a),
inference(equality_resolution,[status(thm)],[c_1147]) ).
tcf(c_2276,plain,
( ( codomain(compose(domain(a),g)) = codomain(g) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1235]) ).
tcf(c_2277,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1235]) ).
tcf(c_2278,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1235]) ).
tcf(c_2279,plain,
( ( codomain(compose(domain(a),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1235]) ).
tcf(c_2280,plain,
codomain(compose(domain(a),compose(a,b))) = codomain(compose(a,b)),
inference(superposition,[status(thm)],[c_377,c_1235]) ).
tcf(c_2281,plain,
codomain(compose(domain(a),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_615,c_1235]) ).
tcf(c_2282,plain,
codomain(compose(domain(a),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_614,c_1235]) ).
tcf(c_2283,plain,
codomain(compose(domain(a),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_1893,c_1235]) ).
tcf(c_2284,plain,
codomain(compose(domain(a),a)) = codomain(a),
inference(equality_resolution,[status(thm)],[c_1235]) ).
tcf(c_2290,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2278,c_62]) ).
tcf(c_2293,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2277,c_224]) ).
tcf(c_2296,plain,
( ( codomain(compose(domain(a),compose(b,h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2279,c_502]) ).
tcf(c_2348,plain,
( ( codomain(compose(codomain(h),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1377]) ).
tcf(c_2349,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1377]) ).
tcf(c_2350,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_1377]) ).
tcf(c_2351,plain,
( ( codomain(compose(codomain(h),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_1377]) ).
tcf(c_2352,plain,
( ( codomain(compose(codomain(h),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1377]) ).
tcf(c_2353,plain,
( ( codomain(compose(codomain(h),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1377]) ).
tcf(c_2354,plain,
( ( codomain(compose(codomain(h),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1377]) ).
tcf(c_2355,plain,
( ( codomain(compose(codomain(h),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1377]) ).
tcf(c_2357,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2350,c_62]) ).
tcf(c_2360,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2349,c_224]) ).
tcf(c_2363,plain,
( ( codomain(compose(codomain(h),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2352,c_477]) ).
tcf(c_2366,plain,
( ( codomain(compose(codomain(h),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2351,c_502]) ).
tcf(c_2371,plain,
( ( codomain(compose(codomain(h),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2354,c_602]) ).
tcf(c_2374,plain,
( ( codomain(compose(codomain(h),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2353,c_807]) ).
tcf(c_2386,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),codomain(X0))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1540]) ).
tcf(c_2387,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),domain(X0))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_1540]) ).
tcf(c_2388,plain,
( ( domain(compose(codomain(h),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_1540]) ).
tcf(c_2389,plain,
( ( domain(compose(codomain(h),compose(a,b))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1540]) ).
tcf(c_2390,plain,
( ( domain(compose(codomain(h),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1540]) ).
tcf(c_2391,plain,
( ( domain(compose(codomain(h),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1540]) ).
tcf(c_2392,plain,
( ( domain(compose(codomain(h),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1540]) ).
tcf(c_2435,plain,
( ( codomain(compose(compose(a,b),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_588]) ).
tcf(c_2438,plain,
( ( codomain(compose(g,compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_588]) ).
tcf(c_2439,plain,
( ( codomain(compose(compose(b,h),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_588]) ).
tcf(c_2440,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_588]) ).
tcf(c_2441,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_588]) ).
tcf(c_2442,plain,
codomain(compose(a,compose(b,h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_588]) ).
tcf(c_2461,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_588]) ).
tcf(c_2462,plain,
domain(compose(g,codomain(compose(a,compose(b,h))))) = codomain(b),
inference(superposition,[status(thm)],[c_2442,c_935]) ).
tcf(c_2463,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(b,h))) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_585]) ).
tcf(c_2464,plain,
( ( codomain(compose(codomain(compose(a,compose(b,h))),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_809]) ).
tcf(c_2465,plain,
( ( codomain(compose(codomain(compose(a,compose(b,h))),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_501]) ).
tcf(c_2466,plain,
( ( codomain(compose(codomain(compose(a,compose(b,h))),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_476]) ).
tcf(c_2467,plain,
( ( domain(compose(codomain(compose(a,compose(b,h))),g)) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_444]) ).
tcf(c_2468,plain,
( ( domain(compose(codomain(compose(a,compose(b,h))),h)) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_418]) ).
tcf(c_2469,plain,
( ( domain(compose(codomain(compose(a,compose(b,h))),b)) = codomain(compose(a,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_378]) ).
tcf(c_2470,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,compose(b,h))),X0)) = codomain(compose(a,compose(b,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_348]) ).
tcf(c_2471,plain,
! [X0: $i] :
( ( compose(compose(compose(a,compose(b,h)),g),X0) = compose(compose(a,compose(b,h)),compose(g,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1462]) ).
tcf(c_2472,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,compose(b,h))),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_342]) ).
tcf(c_2473,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),domain(X0))) = domain(compose(a,compose(b,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_329]) ).
tcf(c_2474,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),codomain(X0))) = domain(compose(a,compose(b,h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_239]) ).
tcf(c_2475,plain,
! [X0: $i] :
( ( compose(compose(compose(a,compose(b,h)),h),X0) = compose(compose(a,compose(b,h)),compose(h,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_293]) ).
tcf(c_2476,plain,
( ( codomain(compose(compose(a,compose(b,h)),g)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_523]) ).
tcf(c_2477,plain,
( ( codomain(compose(compose(a,compose(b,h)),h)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_262]) ).
tcf(c_2478,plain,
( ( codomain(compose(compose(a,compose(b,h)),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_261]) ).
tcf(c_2479,plain,
( ( domain(compose(compose(a,compose(b,h)),g)) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_238]) ).
tcf(c_2480,plain,
( ( domain(compose(compose(a,compose(b,h)),h)) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_237]) ).
tcf(c_2481,plain,
( ( domain(compose(compose(a,compose(b,h)),b)) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_236]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,compose(b,h)),X0),X1) = compose(compose(a,compose(b,h)),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_2442,c_68]) ).
tcf(c_2485,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,compose(b,h)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_67]) ).
tcf(c_2486,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),X0)) = domain(compose(a,compose(b,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_66]) ).
tcf(c_2487,plain,
compose(compose(a,compose(b,h)),codomain(h)) = compose(a,compose(b,h)),
inference(superposition,[status(thm)],[c_2442,c_65]) ).
tcf(c_2489,plain,
! [X0: $i] :
( ( domain(compose(X0,codomain(compose(a,compose(b,h))))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_239]) ).
tcf(c_2506,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),X0)) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2486,c_1893]) ).
tcf(c_2509,plain,
( ( domain(compose(compose(a,compose(b,h)),b)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2481,c_1893]) ).
tcf(c_2512,plain,
( ( domain(compose(compose(a,compose(b,h)),h)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2480,c_1893]) ).
tcf(c_2515,plain,
( ( domain(compose(compose(a,compose(b,h)),g)) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2479,c_1893]) ).
tcf(c_2518,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2474,c_1893]) ).
tcf(c_2521,plain,
! [X0: $i] :
( ( domain(compose(compose(a,compose(b,h)),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2473,c_1893]) ).
tcf(c_2528,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(b,h))) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2463,c_1893]) ).
tcf(c_2634,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(b,h)),X0) = compose(compose(a,b),compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_591]) ).
tcf(c_2635,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(b,h)),X1) = compose(domain(X0),compose(compose(b,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_591]) ).
tcf(c_2636,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(b,h)),X1) = compose(codomain(X0),compose(compose(b,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_591]) ).
tcf(c_2637,plain,
! [X0: $i] :
( ( compose(compose(g,compose(b,h)),X0) = compose(g,compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_591]) ).
tcf(c_2638,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(b,h)),X0) = compose(compose(b,h),compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_591]) ).
tcf(c_2639,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(b,h)),X0) = compose(compose(compose(a,b),h),compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_591]) ).
tcf(c_2640,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),g),compose(b,h)),X0) = compose(compose(compose(a,b),g),compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_591]) ).
tcf(c_2641,plain,
! [X0: $i] :
( ( compose(compose(compose(a,compose(b,h)),compose(b,h)),X0) = compose(compose(a,compose(b,h)),compose(compose(b,h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_591]) ).
tcf(c_2642,plain,
! [X0: $i] :
( ( compose(compose(a,compose(b,h)),X0) = compose(a,compose(compose(b,h),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_591]) ).
tcf(c_2707,plain,
( ( domain(compose(g,domain(b))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_2238]) ).
tcf(c_2708,plain,
( ( domain(compose(g,domain(h))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_2238]) ).
tcf(c_2709,plain,
( ( domain(compose(g,domain(g))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2238]) ).
tcf(c_2710,plain,
! [X0: $i] :
( ( domain(compose(g,domain(codomain(X0)))) = codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2238]) ).
tcf(c_2711,plain,
! [X0: $i] :
( ( domain(compose(g,domain(domain(X0)))) = codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2238]) ).
tcf(c_2712,plain,
( ( domain(compose(g,domain(compose(b,h)))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2238]) ).
tcf(c_2713,plain,
( ( domain(compose(g,domain(compose(a,b)))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2238]) ).
tcf(c_2714,plain,
( ( domain(compose(g,domain(compose(compose(a,b),g)))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2238]) ).
tcf(c_2715,plain,
( ( domain(compose(g,domain(compose(compose(a,b),h)))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2238]) ).
tcf(c_2716,plain,
( ( domain(compose(g,domain(compose(a,compose(b,h))))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2238]) ).
tcf(c_2719,plain,
( ( domain(compose(g,codomain(a))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2707,c_70]) ).
tcf(c_2724,plain,
( ( domain(compose(g,domain(a))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2713,c_377]) ).
tcf(c_2731,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_264,c_224]) ).
tcf(c_2738,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2731]) ).
tcf(c_2740,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2731]) ).
tcf(c_2741,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2731]) ).
tcf(c_2742,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2731]) ).
tcf(c_2743,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),h),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2731]) ).
tcf(c_2744,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),g),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2731]) ).
tcf(c_2745,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,compose(b,h)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2731]) ).
tcf(c_2746,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2731]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(domain(X1)))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_2731]) ).
tcf(c_2748,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(codomain(X1)))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2731]) ).
tcf(c_2749,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(g))) = codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2731]) ).
tcf(c_2750,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2731]) ).
tcf(c_2751,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2731]) ).
tcf(c_2752,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2731]) ).
tcf(c_2753,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2731]) ).
tcf(c_2754,plain,
! [X0: $i] : codomain(compose(X0,codomain(X0))) = codomain(X0),
inference(equality_resolution,[status(thm)],[c_2731]) ).
tcf(c_2756,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(h))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2749,c_518]) ).
tcf(c_2772,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(b))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2746,c_477]) ).
tcf(c_2863,plain,
( ( codomain(compose(g,codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_2741]) ).
tcf(c_2864,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2741]) ).
tcf(c_2865,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_2741]) ).
tcf(c_2866,plain,
codomain(compose(g,codomain(g))) = codomain(g),
inference(superposition,[status(thm)],[c_518,c_2741]) ).
tcf(c_2867,plain,
codomain(compose(g,codomain(compose(b,h)))) = codomain(compose(b,h)),
inference(superposition,[status(thm)],[c_502,c_2741]) ).
tcf(c_2868,plain,
codomain(compose(g,codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_602,c_2741]) ).
tcf(c_2869,plain,
codomain(compose(g,codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_807,c_2741]) ).
tcf(c_2870,plain,
codomain(compose(g,codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_2442,c_2741]) ).
tcf(c_2871,plain,
codomain(compose(g,codomain(h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_2741]) ).
tcf(c_2879,plain,
! [X0: $i] :
( ( codomain(compose(g,domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2864,c_62]) ).
tcf(c_2882,plain,
( ( codomain(compose(g,codomain(b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2863,c_477]) ).
tcf(c_2890,plain,
( ( codomain(compose(g,domain(b))) = domain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_2879]) ).
tcf(c_2891,plain,
( ( codomain(compose(g,domain(h))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_2879]) ).
tcf(c_2892,plain,
( ( codomain(compose(g,domain(g))) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2879]) ).
tcf(c_2893,plain,
! [X0: $i] :
( ( codomain(compose(g,domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2879]) ).
tcf(c_2894,plain,
! [X0: $i] :
( ( codomain(compose(g,domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2879]) ).
tcf(c_2895,plain,
( ( codomain(compose(g,domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2879]) ).
tcf(c_2896,plain,
( ( codomain(compose(g,domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2879]) ).
tcf(c_2897,plain,
( ( codomain(compose(g,domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2879]) ).
tcf(c_2898,plain,
( ( codomain(compose(g,domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2879]) ).
tcf(c_2899,plain,
( ( codomain(compose(g,domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2879]) ).
tcf(c_2902,plain,
( ( codomain(compose(g,codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2890,c_70]) ).
tcf(c_2907,plain,
( ( codomain(compose(g,domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2896,c_377]) ).
tcf(c_2922,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(demodulation,[status(thm)],[c_328,c_62]) ).
tcf(c_2929,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2922]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),domain(X1))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_2922]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2922]) ).
tcf(c_2932,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2922]) ).
tcf(c_2933,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2922]) ).
tcf(c_2934,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),g),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2922]) ).
tcf(c_2935,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,compose(b,h)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2922]) ).
tcf(c_2936,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(b))) = domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_2922]) ).
tcf(c_2937,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(h))) = domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_2922]) ).
tcf(c_2938,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(g))) = domain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_2922]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(codomain(X1)))) = domain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_2922]) ).
tcf(c_2940,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(domain(X1)))) = domain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_2922]) ).
tcf(c_2941,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2922]) ).
tcf(c_2942,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2922]) ).
tcf(c_2943,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2922]) ).
tcf(c_2944,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2922]) ).
tcf(c_2945,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2922]) ).
tcf(c_2948,plain,
! [X0: $i] :
( ( codomain(compose(X0,codomain(a))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2936,c_70]) ).
tcf(c_2963,plain,
! [X0: $i] :
( ( codomain(compose(X0,domain(a))) = domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2942,c_377]) ).
tcf(c_3017,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_395]) ).
tcf(c_3018,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,b))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_395]) ).
tcf(c_3019,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,b))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_395]) ).
tcf(c_3020,plain,
( ( domain(compose(compose(b,h),compose(a,b))) = domain(compose(b,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_395]) ).
tcf(c_3021,plain,
( ( domain(compose(compose(compose(a,b),h),compose(a,b))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_395]) ).
tcf(c_3022,plain,
( ( domain(compose(compose(compose(a,b),g),compose(a,b))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_395]) ).
tcf(c_3023,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(a,b))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_395]) ).
tcf(c_3026,plain,
( ( domain(compose(compose(b,h),compose(a,b))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3020,c_417]) ).
tcf(c_3029,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3017,c_377]) ).
tcf(c_3032,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(a,b))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3023,c_1893]) ).
tcf(c_3035,plain,
( ( domain(compose(compose(compose(a,b),g),compose(a,b))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3022,c_615]) ).
tcf(c_3038,plain,
( ( domain(compose(compose(compose(a,b),h),compose(a,b))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3021,c_614]) ).
tcf(c_3047,plain,
codomain(compose(compose(a,b),g)) = codomain(g),
inference(superposition,[status(thm)],[c_72,c_610]) ).
tcf(c_3048,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_610]) ).
tcf(c_3049,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_610]) ).
tcf(c_3050,plain,
( ( codomain(compose(compose(a,b),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_610]) ).
tcf(c_3051,plain,
( ( codomain(compose(compose(a,b),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_610]) ).
tcf(c_3052,plain,
( ( codomain(compose(compose(a,b),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_610]) ).
tcf(c_3053,plain,
( ( codomain(compose(compose(a,b),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_610]) ).
tcf(c_3054,plain,
( ( codomain(compose(compose(a,b),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_610]) ).
tcf(c_3058,plain,
( ( codomain(compose(compose(a,b),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3051,c_477]) ).
tcf(c_3062,plain,
( ( codomain(compose(compose(a,b),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3054,c_2442]) ).
tcf(c_3065,plain,
( ( codomain(compose(compose(a,b),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3053,c_602]) ).
tcf(c_3068,plain,
( ( codomain(compose(compose(a,b),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3052,c_807]) ).
tcf(c_3111,plain,
( ( domain(compose(compose(a,b),compose(compose(a,b),g))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_620]) ).
tcf(c_3112,plain,
( ( domain(compose(compose(a,b),compose(compose(a,b),h))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_620]) ).
tcf(c_3113,plain,
( ( domain(compose(compose(a,b),compose(a,compose(b,h)))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_620]) ).
tcf(c_3134,plain,
( ( codomain(compose(compose(b,h),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_647]) ).
tcf(c_3135,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_647]) ).
tcf(c_3136,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_647]) ).
tcf(c_3137,plain,
( ( codomain(compose(compose(b,h),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_647]) ).
tcf(c_3138,plain,
( ( codomain(compose(compose(b,h),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_647]) ).
tcf(c_3139,plain,
( ( codomain(compose(compose(b,h),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_647]) ).
tcf(c_3140,plain,
( ( codomain(compose(compose(b,h),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_647]) ).
tcf(c_3141,plain,
( ( codomain(compose(compose(b,h),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_647]) ).
tcf(c_3145,plain,
( ( codomain(compose(compose(b,h),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3138,c_477]) ).
tcf(c_3149,plain,
( ( codomain(compose(compose(b,h),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3141,c_2442]) ).
tcf(c_3152,plain,
( ( codomain(compose(compose(b,h),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3140,c_602]) ).
tcf(c_3155,plain,
( ( codomain(compose(compose(b,h),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3139,c_807]) ).
tcf(c_3169,plain,
( ( domain(compose(compose(b,h),compose(compose(a,b),g))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_657]) ).
tcf(c_3170,plain,
( ( domain(compose(compose(b,h),compose(compose(a,b),h))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_657]) ).
tcf(c_3171,plain,
( ( domain(compose(compose(b,h),compose(a,compose(b,h)))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_657]) ).
tcf(c_3201,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(a,b)),X0) = compose(compose(b,h),compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_646]) ).
tcf(c_3202,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),domain(X0)),X1) = compose(compose(b,h),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_646]) ).
tcf(c_3203,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),codomain(X0)),X1) = compose(compose(b,h),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_646]) ).
tcf(c_3204,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(b,h)),X0) = compose(compose(b,h),compose(compose(b,h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(b,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_646]) ).
tcf(c_3205,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(compose(a,b),h)),X0) = compose(compose(b,h),compose(compose(compose(a,b),h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(compose(a,b),h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_646]) ).
tcf(c_3206,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(compose(a,b),g)),X0) = compose(compose(b,h),compose(compose(compose(a,b),g),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(compose(a,b),g)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_646]) ).
tcf(c_3207,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(a,compose(b,h))),X0) = compose(compose(b,h),compose(compose(a,compose(b,h)),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,compose(b,h))) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_646]) ).
tcf(c_3208,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),b) = compose(compose(b,h),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_646]) ).
tcf(c_3209,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),h) = compose(compose(b,h),compose(X0,h)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_646]) ).
tcf(c_3210,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),g) = compose(compose(b,h),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_646]) ).
tcf(c_3211,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),X0),codomain(X1)) = compose(compose(b,h),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_646]) ).
tcf(c_3212,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),X0),domain(X1)) = compose(compose(b,h),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_646]) ).
tcf(c_3213,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),compose(b,h)) = compose(compose(b,h),compose(X0,compose(b,h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_646]) ).
tcf(c_3214,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),compose(a,b)) = compose(compose(b,h),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_646]) ).
tcf(c_3215,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),compose(compose(a,b),g)) = compose(compose(b,h),compose(X0,compose(compose(a,b),g))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_646]) ).
tcf(c_3216,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),compose(compose(a,b),h)) = compose(compose(b,h),compose(X0,compose(compose(a,b),h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_646]) ).
tcf(c_3217,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),X0),compose(a,compose(b,h))) = compose(compose(b,h),compose(X0,compose(a,compose(b,h)))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_646]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),codomain(X0)),X1) = compose(compose(b,h),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3203,c_63]) ).
tcf(c_3237,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(b,h),domain(X0)),X1) = compose(compose(b,h),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3202,c_223]) ).
tcf(c_3248,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(a,b)),X0) = compose(compose(b,h),compose(compose(a,b),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3201,c_377]) ).
tcf(c_3261,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(a,compose(b,h))),X0) = compose(compose(b,h),compose(compose(a,compose(b,h)),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3207,c_1893]) ).
tcf(c_3265,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(compose(a,b),g)),X0) = compose(compose(b,h),compose(compose(compose(a,b),g),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3206,c_615]) ).
tcf(c_3269,plain,
! [X0: $i] :
( ( compose(compose(compose(b,h),compose(compose(a,b),h)),X0) = compose(compose(b,h),compose(compose(compose(a,b),h),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3205,c_614]) ).
tcf(c_3326,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(a,b)))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1118]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(domain(X0)))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_1118]) ).
tcf(c_3328,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(codomain(X0)))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_1118]) ).
tcf(c_3329,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(b,h)))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1118]) ).
tcf(c_3330,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(compose(a,b),h)))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1118]) ).
tcf(c_3331,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(compose(a,b),g)))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1118]) ).
tcf(c_3332,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(a,compose(b,h))))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1118]) ).
tcf(c_3333,plain,
! [X0: $i] :
( ( domain(compose(domain(b),codomain(X0))) = domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1118]) ).
tcf(c_3334,plain,
! [X0: $i] :
( ( domain(compose(domain(h),codomain(X0))) = domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1118]) ).
tcf(c_3335,plain,
! [X0: $i] :
( ( domain(compose(domain(g),codomain(X0))) = domain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1118]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(codomain(X1)),codomain(X0))) = domain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1118]) ).
tcf(c_3337,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(domain(X1)),codomain(X0))) = domain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_1118]) ).
tcf(c_3338,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(b,h)),codomain(X0))) = domain(compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1118]) ).
tcf(c_3339,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,b)),codomain(X0))) = domain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1118]) ).
tcf(c_3340,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),g)),codomain(X0))) = domain(compose(compose(a,b),g)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1118]) ).
tcf(c_3341,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),h)),codomain(X0))) = domain(compose(compose(a,b),h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1118]) ).
tcf(c_3342,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,compose(b,h))),codomain(X0))) = domain(compose(a,compose(b,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1118]) ).
tcf(c_3347,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),domain(X0))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3327,c_62]) ).
tcf(c_3354,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(h))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3329,c_502]) ).
tcf(c_3357,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(b))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3326,c_477]) ).
tcf(c_3376,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1232]) ).
tcf(c_3377,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_1232]) ).
tcf(c_3378,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_1232]) ).
tcf(c_3379,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1232]) ).
tcf(c_3380,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1232]) ).
tcf(c_3381,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1232]) ).
tcf(c_3382,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1232]) ).
tcf(c_3383,plain,
! [X0: $i] :
( ( codomain(compose(domain(b),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1232]) ).
tcf(c_3384,plain,
! [X0: $i] :
( ( codomain(compose(domain(h),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1232]) ).
tcf(c_3385,plain,
! [X0: $i] :
( ( codomain(compose(domain(g),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1232]) ).
tcf(c_3386,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(codomain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1232]) ).
tcf(c_3387,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(domain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_1232]) ).
tcf(c_3388,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(b,h)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1232]) ).
tcf(c_3389,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,b)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1232]) ).
tcf(c_3390,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),g)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1232]) ).
tcf(c_3391,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),h)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1232]) ).
tcf(c_3392,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,compose(b,h))),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1232]) ).
tcf(c_3403,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3377,c_62]) ).
tcf(c_3409,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(h))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3379,c_502]) ).
tcf(c_3412,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(b))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3376,c_477]) ).
tcf(c_3440,plain,
domain(compose(codomain(b),codomain(compose(a,b)))) = codomain(b),
inference(superposition,[status(thm)],[c_477,c_1932]) ).
tcf(c_3441,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),codomain(domain(X0)))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_1932]) ).
tcf(c_3442,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),codomain(codomain(X0)))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_1932]) ).
tcf(c_3443,plain,
( ( domain(compose(codomain(b),codomain(g))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_1932]) ).
tcf(c_3444,plain,
( ( domain(compose(codomain(b),codomain(compose(b,h)))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1932]) ).
tcf(c_3445,plain,
( ( domain(compose(codomain(b),codomain(compose(compose(a,b),h)))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1932]) ).
tcf(c_3446,plain,
( ( domain(compose(codomain(b),codomain(compose(compose(a,b),g)))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1932]) ).
tcf(c_3447,plain,
( ( domain(compose(codomain(b),codomain(compose(a,compose(b,h))))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1932]) ).
tcf(c_3448,plain,
domain(compose(codomain(b),codomain(b))) = codomain(b),
inference(equality_resolution,[status(thm)],[c_1932]) ).
tcf(c_3450,plain,
( ( domain(compose(codomain(b),codomain(h))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3443,c_518]) ).
tcf(c_3464,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,b)),codomain(X0))) = codomain(compose(a,b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_946]) ).
tcf(c_3465,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(domain(X1)),codomain(X0))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_946]) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(codomain(X0)),codomain(X1))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_946]) ).
tcf(c_3467,plain,
! [X0: $i] :
( ( domain(compose(codomain(g),codomain(X0))) = codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_946]) ).
tcf(c_3468,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(b,h)),codomain(X0))) = codomain(compose(b,h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_946]) ).
tcf(c_3469,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),h)),codomain(X0))) = codomain(compose(compose(a,b),h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_946]) ).
tcf(c_3470,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),g)),codomain(X0))) = codomain(compose(compose(a,b),g)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_946]) ).
tcf(c_3471,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,compose(b,h))),codomain(X0))) = codomain(compose(a,compose(b,h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_946]) ).
tcf(c_3472,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(compose(a,b)))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_946]) ).
tcf(c_3473,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(domain(X1)))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_946]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(codomain(X1)))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_946]) ).
tcf(c_3475,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(g))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_946]) ).
tcf(c_3476,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(compose(b,h)))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_946]) ).
tcf(c_3477,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(compose(compose(a,b),h)))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_946]) ).
tcf(c_3478,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(compose(compose(a,b),g)))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_946]) ).
tcf(c_3479,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(compose(a,compose(b,h))))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_946]) ).
tcf(c_3480,plain,
! [X0: $i] : domain(compose(codomain(X0),codomain(X0))) = codomain(X0),
inference(equality_resolution,[status(thm)],[c_946]) ).
tcf(c_3482,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(h))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3475,c_518]) ).
tcf(c_3491,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(b))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3472,c_477]) ).
tcf(c_3512,plain,
! [X0: $i] :
( ( domain(compose(domain(b),domain(X0))) = domain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1119]) ).
tcf(c_3513,plain,
! [X0: $i] :
( ( domain(compose(domain(h),domain(X0))) = domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1119]) ).
tcf(c_3514,plain,
! [X0: $i] :
( ( domain(compose(domain(g),domain(X0))) = domain(g) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1119]) ).
tcf(c_3515,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(codomain(X0)),domain(X1))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1119]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(domain(X0)),domain(X1))) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_1119]) ).
tcf(c_3517,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(b,h)),domain(X0))) = domain(compose(b,h)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1119]) ).
tcf(c_3518,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,b)),domain(X0))) = domain(compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1119]) ).
tcf(c_3519,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),g)),domain(X0))) = domain(compose(compose(a,b),g)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1119]) ).
tcf(c_3520,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(compose(a,b),h)),domain(X0))) = domain(compose(compose(a,b),h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1119]) ).
tcf(c_3521,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,compose(b,h))),domain(X0))) = domain(compose(a,compose(b,h))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1119]) ).
tcf(c_3522,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(b))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1119]) ).
tcf(c_3523,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(h))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1119]) ).
tcf(c_3524,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(g))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1119]) ).
tcf(c_3525,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),domain(codomain(X0)))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1119]) ).
tcf(c_3526,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(domain(X1)))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_1119]) ).
tcf(c_3527,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(compose(b,h)))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1119]) ).
tcf(c_3528,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(compose(a,b)))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1119]) ).
tcf(c_3529,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(compose(compose(a,b),g)))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1119]) ).
tcf(c_3530,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(compose(compose(a,b),h)))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1119]) ).
tcf(c_3531,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(compose(a,compose(b,h))))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1119]) ).
tcf(c_3532,plain,
! [X0: $i] : domain(compose(domain(X0),domain(X0))) = domain(X0),
inference(equality_resolution,[status(thm)],[c_1119]) ).
tcf(c_3536,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(a))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3522,c_70]) ).
tcf(c_3545,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(a))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3528,c_377]) ).
tcf(c_3581,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,b)),domain(X0))) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1325]) ).
tcf(c_3582,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(domain(X0)),domain(X1))) = codomain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_1325]) ).
tcf(c_3583,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(codomain(X0)),domain(X1))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_1325]) ).
tcf(c_3584,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(b,h)),domain(X0))) = codomain(compose(b,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1325]) ).
tcf(c_3585,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),h)),domain(X0))) = codomain(compose(compose(a,b),h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1325]) ).
tcf(c_3586,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(compose(a,b),g)),domain(X0))) = codomain(compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1325]) ).
tcf(c_3587,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,compose(b,h))),domain(X0))) = codomain(compose(a,compose(b,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1325]) ).
tcf(c_3588,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(b))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1325]) ).
tcf(c_3589,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(h))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1325]) ).
tcf(c_3590,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(g))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1325]) ).
tcf(c_3591,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(codomain(X1)))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1325]) ).
tcf(c_3592,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(domain(X1)))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_1325]) ).
tcf(c_3593,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(compose(b,h)))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1325]) ).
tcf(c_3594,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(compose(a,b)))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1325]) ).
tcf(c_3595,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(compose(compose(a,b),g)))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1325]) ).
tcf(c_3596,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(compose(compose(a,b),h)))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1325]) ).
tcf(c_3597,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(compose(a,compose(b,h))))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1325]) ).
tcf(c_3600,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),codomain(a))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3588,c_70]) ).
tcf(c_3607,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),domain(a))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3594,c_377]) ).
tcf(c_3633,plain,
( ( domain(compose(codomain(b),domain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_1933]) ).
tcf(c_3634,plain,
domain(compose(codomain(b),domain(h))) = codomain(b),
inference(superposition,[status(thm)],[c_71,c_1933]) ).
tcf(c_3635,plain,
domain(compose(codomain(b),domain(g))) = codomain(b),
inference(superposition,[status(thm)],[c_72,c_1933]) ).
tcf(c_3636,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),domain(codomain(X0)))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_1933]) ).
tcf(c_3637,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),domain(domain(X0)))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_1933]) ).
tcf(c_3638,plain,
( ( domain(compose(codomain(b),domain(compose(b,h)))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_1933]) ).
tcf(c_3639,plain,
( ( domain(compose(codomain(b),domain(compose(a,b)))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1933]) ).
tcf(c_3640,plain,
( ( domain(compose(codomain(b),domain(compose(compose(a,b),g)))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1933]) ).
tcf(c_3641,plain,
( ( domain(compose(codomain(b),domain(compose(compose(a,b),h)))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1933]) ).
tcf(c_3642,plain,
( ( domain(compose(codomain(b),domain(compose(a,compose(b,h))))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1933]) ).
tcf(c_3645,plain,
( ( domain(compose(codomain(b),codomain(a))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3633,c_70]) ).
tcf(c_3650,plain,
( ( domain(compose(codomain(b),domain(a))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3639,c_377]) ).
tcf(c_3694,plain,
( ( domain(compose(codomain(a),codomain(compose(a,b)))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1989]) ).
tcf(c_3695,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),codomain(domain(X0)))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1989]) ).
tcf(c_3696,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),codomain(codomain(X0)))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_1989]) ).
tcf(c_3697,plain,
( ( domain(compose(codomain(a),codomain(g))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_1989]) ).
tcf(c_3698,plain,
( ( domain(compose(codomain(a),codomain(compose(b,h)))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1989]) ).
tcf(c_3699,plain,
( ( domain(compose(codomain(a),codomain(compose(compose(a,b),h)))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1989]) ).
tcf(c_3700,plain,
( ( domain(compose(codomain(a),codomain(compose(compose(a,b),g)))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1989]) ).
tcf(c_3701,plain,
( ( domain(compose(codomain(a),codomain(compose(a,compose(b,h))))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1989]) ).
tcf(c_3702,plain,
domain(compose(codomain(a),codomain(a))) = codomain(a),
inference(equality_resolution,[status(thm)],[c_1989]) ).
tcf(c_3703,plain,
( ( domain(compose(codomain(a),codomain(h))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3697,c_518]) ).
tcf(c_3709,plain,
( ( domain(compose(codomain(a),codomain(b))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3694,c_477]) ).
tcf(c_3719,plain,
domain(compose(codomain(a),domain(b))) = codomain(a),
inference(superposition,[status(thm)],[c_70,c_1990]) ).
tcf(c_3720,plain,
( ( domain(compose(codomain(a),domain(h))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1990]) ).
tcf(c_3721,plain,
( ( domain(compose(codomain(a),domain(g))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1990]) ).
tcf(c_3722,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),domain(codomain(X0)))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1990]) ).
tcf(c_3723,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),domain(domain(X0)))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1990]) ).
tcf(c_3724,plain,
domain(compose(codomain(a),domain(compose(b,h)))) = codomain(a),
inference(superposition,[status(thm)],[c_417,c_1990]) ).
tcf(c_3725,plain,
( ( domain(compose(codomain(a),domain(compose(a,b)))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1990]) ).
tcf(c_3726,plain,
( ( domain(compose(codomain(a),domain(compose(compose(a,b),g)))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1990]) ).
tcf(c_3727,plain,
( ( domain(compose(codomain(a),domain(compose(compose(a,b),h)))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1990]) ).
tcf(c_3728,plain,
( ( domain(compose(codomain(a),domain(compose(a,compose(b,h))))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1990]) ).
tcf(c_3735,plain,
( ( domain(compose(codomain(a),domain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3725,c_377]) ).
tcf(c_3745,plain,
( ( codomain(compose(codomain(b),domain(b))) = domain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_2051]) ).
tcf(c_3746,plain,
codomain(compose(codomain(b),domain(h))) = domain(h),
inference(superposition,[status(thm)],[c_71,c_2051]) ).
tcf(c_3747,plain,
codomain(compose(codomain(b),domain(g))) = domain(g),
inference(superposition,[status(thm)],[c_72,c_2051]) ).
tcf(c_3748,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_2051]) ).
tcf(c_3749,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_2051]) ).
tcf(c_3750,plain,
( ( codomain(compose(codomain(b),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_2051]) ).
tcf(c_3751,plain,
( ( codomain(compose(codomain(b),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2051]) ).
tcf(c_3752,plain,
( ( codomain(compose(codomain(b),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2051]) ).
tcf(c_3753,plain,
( ( codomain(compose(codomain(b),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2051]) ).
tcf(c_3754,plain,
( ( codomain(compose(codomain(b),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2051]) ).
tcf(c_3755,plain,
codomain(compose(codomain(b),codomain(b))) = codomain(b),
inference(light_normalisation,[status(thm)],[c_3747,c_72]) ).
tcf(c_3757,plain,
( ( codomain(compose(codomain(b),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3745,c_70]) ).
tcf(c_3762,plain,
( ( codomain(compose(codomain(b),domain(a))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3751,c_377]) ).
tcf(c_3777,plain,
codomain(compose(codomain(b),codomain(compose(a,b)))) = codomain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_2054]) ).
tcf(c_3778,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_2054]) ).
tcf(c_3779,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_2054]) ).
tcf(c_3780,plain,
( ( codomain(compose(codomain(b),codomain(g))) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2054]) ).
tcf(c_3781,plain,
( ( codomain(compose(codomain(b),codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2054]) ).
tcf(c_3782,plain,
( ( codomain(compose(codomain(b),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2054]) ).
tcf(c_3783,plain,
( ( codomain(compose(codomain(b),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2054]) ).
tcf(c_3784,plain,
( ( codomain(compose(codomain(b),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2054]) ).
tcf(c_3787,plain,
( ( codomain(compose(codomain(b),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3780,c_518]) ).
tcf(c_3806,plain,
( ( codomain(compose(codomain(a),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2097]) ).
tcf(c_3807,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_2097]) ).
tcf(c_3808,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_2097]) ).
tcf(c_3809,plain,
( ( codomain(compose(codomain(a),codomain(g))) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2097]) ).
tcf(c_3810,plain,
( ( codomain(compose(codomain(a),codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2097]) ).
tcf(c_3811,plain,
( ( codomain(compose(codomain(a),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2097]) ).
tcf(c_3812,plain,
( ( codomain(compose(codomain(a),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2097]) ).
tcf(c_3813,plain,
( ( codomain(compose(codomain(a),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2097]) ).
tcf(c_3814,plain,
codomain(compose(codomain(a),codomain(a))) = codomain(a),
inference(equality_resolution,[status(thm)],[c_2097]) ).
tcf(c_3815,plain,
( ( codomain(compose(codomain(a),codomain(h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3809,c_518]) ).
tcf(c_3821,plain,
( ( codomain(compose(codomain(a),codomain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3806,c_477]) ).
tcf(c_3835,plain,
codomain(compose(codomain(a),domain(b))) = domain(b),
inference(superposition,[status(thm)],[c_70,c_2094]) ).
tcf(c_3836,plain,
( ( codomain(compose(codomain(a),domain(h))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_2094]) ).
tcf(c_3837,plain,
( ( codomain(compose(codomain(a),domain(g))) = domain(g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_2094]) ).
tcf(c_3838,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2094]) ).
tcf(c_3839,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_2094]) ).
tcf(c_3840,plain,
codomain(compose(codomain(a),domain(compose(b,h)))) = domain(compose(b,h)),
inference(superposition,[status(thm)],[c_417,c_2094]) ).
tcf(c_3841,plain,
( ( codomain(compose(codomain(a),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2094]) ).
tcf(c_3842,plain,
( ( codomain(compose(codomain(a),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2094]) ).
tcf(c_3843,plain,
( ( codomain(compose(codomain(a),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2094]) ).
tcf(c_3844,plain,
( ( codomain(compose(codomain(a),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2094]) ).
tcf(c_3851,plain,
( ( codomain(compose(codomain(a),domain(a))) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3841,c_377]) ).
tcf(c_3861,plain,
( ( domain(compose(domain(a),domain(h))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_2252]) ).
tcf(c_3862,plain,
( ( domain(compose(domain(a),domain(g))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_2252]) ).
tcf(c_3863,plain,
! [X0: $i] :
( ( domain(compose(domain(a),domain(codomain(X0)))) = domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2252]) ).
tcf(c_3864,plain,
! [X0: $i] :
( ( domain(compose(domain(a),domain(domain(X0)))) = domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_2252]) ).
tcf(c_3865,plain,
( ( domain(compose(domain(a),domain(compose(b,h)))) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2252]) ).
tcf(c_3866,plain,
domain(compose(domain(a),domain(compose(a,b)))) = domain(a),
inference(superposition,[status(thm)],[c_377,c_2252]) ).
tcf(c_3867,plain,
domain(compose(domain(a),domain(compose(compose(a,b),g)))) = domain(a),
inference(superposition,[status(thm)],[c_615,c_2252]) ).
tcf(c_3868,plain,
domain(compose(domain(a),domain(compose(compose(a,b),h)))) = domain(a),
inference(superposition,[status(thm)],[c_614,c_2252]) ).
tcf(c_3869,plain,
domain(compose(domain(a),domain(compose(a,compose(b,h))))) = domain(a),
inference(superposition,[status(thm)],[c_1893,c_2252]) ).
tcf(c_3870,plain,
domain(compose(domain(a),domain(a))) = domain(a),
inference(equality_resolution,[status(thm)],[c_2252]) ).
tcf(c_3875,plain,
( ( domain(compose(domain(a),codomain(b))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3862,c_72]) ).
tcf(c_3881,plain,
( ( domain(compose(domain(a),codomain(a))) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3865,c_417]) ).
tcf(c_3888,plain,
( ( codomain(compose(domain(a),domain(h))) = domain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_2290]) ).
tcf(c_3889,plain,
( ( codomain(compose(domain(a),domain(g))) = domain(g) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_2290]) ).
tcf(c_3890,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2290]) ).
tcf(c_3891,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_2290]) ).
tcf(c_3892,plain,
( ( codomain(compose(domain(a),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2290]) ).
tcf(c_3893,plain,
codomain(compose(domain(a),domain(compose(a,b)))) = domain(compose(a,b)),
inference(superposition,[status(thm)],[c_377,c_2290]) ).
tcf(c_3894,plain,
codomain(compose(domain(a),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_615,c_2290]) ).
tcf(c_3895,plain,
codomain(compose(domain(a),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_614,c_2290]) ).
tcf(c_3896,plain,
codomain(compose(domain(a),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_1893,c_2290]) ).
tcf(c_3897,plain,
codomain(compose(domain(a),domain(a))) = domain(a),
inference(equality_resolution,[status(thm)],[c_2290]) ).
tcf(c_3899,plain,
( ( codomain(compose(domain(a),codomain(b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3889,c_72]) ).
tcf(c_3908,plain,
( ( codomain(compose(domain(a),codomain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3892,c_417]) ).
tcf(c_3921,plain,
( ( codomain(compose(codomain(h),domain(b))) = domain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_2357]) ).
tcf(c_3922,plain,
( ( codomain(compose(codomain(h),domain(h))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_2357]) ).
tcf(c_3923,plain,
( ( codomain(compose(codomain(h),domain(g))) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2357]) ).
tcf(c_3924,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2357]) ).
tcf(c_3925,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2357]) ).
tcf(c_3926,plain,
( ( codomain(compose(codomain(h),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2357]) ).
tcf(c_3927,plain,
( ( codomain(compose(codomain(h),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2357]) ).
tcf(c_3928,plain,
( ( codomain(compose(codomain(h),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2357]) ).
tcf(c_3929,plain,
( ( codomain(compose(codomain(h),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2357]) ).
tcf(c_3930,plain,
( ( codomain(compose(codomain(h),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2357]) ).
tcf(c_3931,plain,
( ( codomain(compose(codomain(h),codomain(b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3923,c_72]) ).
tcf(c_3935,plain,
( ( codomain(compose(codomain(h),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3921,c_70]) ).
tcf(c_3940,plain,
( ( codomain(compose(codomain(h),domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3927,c_377]) ).
tcf(c_3951,plain,
( ( codomain(compose(codomain(h),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_2360]) ).
tcf(c_3952,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2360]) ).
tcf(c_3953,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_2360]) ).
tcf(c_3954,plain,
codomain(compose(codomain(h),codomain(g))) = codomain(g),
inference(superposition,[status(thm)],[c_518,c_2360]) ).
tcf(c_3955,plain,
codomain(compose(codomain(h),codomain(compose(b,h)))) = codomain(compose(b,h)),
inference(superposition,[status(thm)],[c_502,c_2360]) ).
tcf(c_3956,plain,
codomain(compose(codomain(h),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_602,c_2360]) ).
tcf(c_3957,plain,
codomain(compose(codomain(h),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_807,c_2360]) ).
tcf(c_3958,plain,
codomain(compose(codomain(h),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_2442,c_2360]) ).
tcf(c_3959,plain,
codomain(compose(codomain(h),codomain(h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_2360]) ).
tcf(c_3972,plain,
( ( domain(compose(codomain(h),codomain(compose(a,b)))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_2386]) ).
tcf(c_3973,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),codomain(domain(X0)))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2386]) ).
tcf(c_3974,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),codomain(codomain(X0)))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_2386]) ).
tcf(c_3975,plain,
domain(compose(codomain(h),codomain(g))) = codomain(h),
inference(superposition,[status(thm)],[c_518,c_2386]) ).
tcf(c_3976,plain,
domain(compose(codomain(h),codomain(compose(b,h)))) = codomain(h),
inference(superposition,[status(thm)],[c_502,c_2386]) ).
tcf(c_3977,plain,
domain(compose(codomain(h),codomain(compose(compose(a,b),h)))) = codomain(h),
inference(superposition,[status(thm)],[c_602,c_2386]) ).
tcf(c_3978,plain,
domain(compose(codomain(h),codomain(compose(compose(a,b),g)))) = codomain(h),
inference(superposition,[status(thm)],[c_807,c_2386]) ).
tcf(c_3979,plain,
domain(compose(codomain(h),codomain(compose(a,compose(b,h))))) = codomain(h),
inference(superposition,[status(thm)],[c_2442,c_2386]) ).
tcf(c_3980,plain,
domain(compose(codomain(h),codomain(h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_2386]) ).
tcf(c_3988,plain,
( ( domain(compose(codomain(h),codomain(b))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3972,c_477]) ).
tcf(c_3999,plain,
! [X0: $i] :
( ( codomain(compose(domain(b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_2930]) ).
tcf(c_4000,plain,
! [X0: $i] :
( ( codomain(compose(domain(h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_2930]) ).
tcf(c_4001,plain,
! [X0: $i] :
( ( codomain(compose(domain(g),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_2930]) ).
tcf(c_4002,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(codomain(X0)),domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_2930]) ).
tcf(c_4003,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(domain(X0)),domain(X1))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_2930]) ).
tcf(c_4004,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(b,h)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2930]) ).
tcf(c_4005,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,b)),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2930]) ).
tcf(c_4006,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),g)),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2930]) ).
tcf(c_4007,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(compose(a,b),h)),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2930]) ).
tcf(c_4008,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,compose(b,h))),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2930]) ).
tcf(c_4009,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(b))) = domain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_2930]) ).
tcf(c_4010,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(h))) = domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_2930]) ).
tcf(c_4011,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(g))) = domain(g) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_2930]) ).
tcf(c_4012,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_2930]) ).
tcf(c_4013,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),domain(domain(X1)))) = domain(domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_2930]) ).
tcf(c_4014,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2930]) ).
tcf(c_4015,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2930]) ).
tcf(c_4016,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2930]) ).
tcf(c_4017,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2930]) ).
tcf(c_4018,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2930]) ).
tcf(c_4019,plain,
! [X0: $i] : codomain(compose(domain(X0),domain(X0))) = domain(X0),
inference(equality_resolution,[status(thm)],[c_2930]) ).
tcf(c_4023,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(a))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4009,c_70]) ).
tcf(c_4036,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(a))) = domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4015,c_377]) ).
tcf(c_4059,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),domain(domain(X0)))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_3347]) ).
tcf(c_4069,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(domain(X1)),domain(X0))) = domain(domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_3347]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_3403]) ).
tcf(c_4100,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(domain(X1)),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_3403]) ).
tcf(c_4123,plain,
domain(compose(domain(b),codomain(a))) = domain(b),
inference(superposition,[status(thm)],[c_70,c_3536]) ).
tcf(c_4124,plain,
( ( domain(compose(domain(h),codomain(a))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_3536]) ).
tcf(c_4125,plain,
( ( domain(compose(domain(g),codomain(a))) = domain(g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_3536]) ).
tcf(c_4126,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),codomain(a))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3536]) ).
tcf(c_4127,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),codomain(a))) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_3536]) ).
tcf(c_4128,plain,
domain(compose(domain(compose(b,h)),codomain(a))) = domain(compose(b,h)),
inference(superposition,[status(thm)],[c_417,c_3536]) ).
tcf(c_4129,plain,
( ( domain(compose(domain(compose(a,b)),codomain(a))) = domain(compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_3536]) ).
tcf(c_4130,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),codomain(a))) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_3536]) ).
tcf(c_4131,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),codomain(a))) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_3536]) ).
tcf(c_4132,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),codomain(a))) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_3536]) ).
tcf(c_4147,plain,
( ( domain(compose(codomain(h),domain(b))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_2387]) ).
tcf(c_4148,plain,
( ( domain(compose(codomain(h),domain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_2387]) ).
tcf(c_4149,plain,
( ( domain(compose(codomain(h),domain(g))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2387]) ).
tcf(c_4150,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),domain(codomain(X0)))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2387]) ).
tcf(c_4151,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),domain(domain(X0)))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2387]) ).
tcf(c_4152,plain,
( ( domain(compose(codomain(h),domain(compose(b,h)))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2387]) ).
tcf(c_4153,plain,
( ( domain(compose(codomain(h),domain(compose(a,b)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2387]) ).
tcf(c_4154,plain,
( ( domain(compose(codomain(h),domain(compose(compose(a,b),g)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2387]) ).
tcf(c_4155,plain,
( ( domain(compose(codomain(h),domain(compose(compose(a,b),h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2387]) ).
tcf(c_4156,plain,
( ( domain(compose(codomain(h),domain(compose(a,compose(b,h))))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2387]) ).
tcf(c_4159,plain,
( ( domain(compose(codomain(h),codomain(a))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4147,c_70]) ).
tcf(c_4164,plain,
( ( domain(compose(codomain(h),domain(a))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4153,c_377]) ).
tcf(c_4184,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,b)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2740]) ).
tcf(c_4185,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(domain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_2740]) ).
tcf(c_4186,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(codomain(X0)),codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2740]) ).
tcf(c_4187,plain,
! [X0: $i] :
( ( codomain(compose(codomain(g),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2740]) ).
tcf(c_4188,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(b,h)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2740]) ).
tcf(c_4189,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),h)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2740]) ).
tcf(c_4190,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),g)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2740]) ).
tcf(c_4191,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,compose(b,h))),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2740]) ).
tcf(c_4192,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2740]) ).
tcf(c_4193,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(domain(X1)))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_2740]) ).
tcf(c_4194,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(codomain(X1)))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2740]) ).
tcf(c_4195,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(g))) = codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2740]) ).
tcf(c_4196,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2740]) ).
tcf(c_4197,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2740]) ).
tcf(c_4198,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2740]) ).
tcf(c_4199,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2740]) ).
tcf(c_4200,plain,
! [X0: $i] : codomain(compose(codomain(X0),codomain(X0))) = codomain(X0),
inference(equality_resolution,[status(thm)],[c_2740]) ).
tcf(c_4202,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(h))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4195,c_518]) ).
tcf(c_4216,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(b))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4192,c_477]) ).
tcf(c_4272,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,b)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_2931]) ).
tcf(c_4273,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(domain(X0)),domain(X1))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_2931]) ).
tcf(c_4274,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(codomain(X0)),domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_2931]) ).
tcf(c_4275,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(b,h)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2931]) ).
tcf(c_4276,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),h)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2931]) ).
tcf(c_4277,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(compose(a,b),g)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2931]) ).
tcf(c_4278,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,compose(b,h))),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2931]) ).
tcf(c_4279,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(b))) = domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_2931]) ).
tcf(c_4280,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(h))) = domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_2931]) ).
tcf(c_4281,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(g))) = domain(g) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_2931]) ).
tcf(c_4282,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(codomain(X1)))) = domain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_2931]) ).
tcf(c_4283,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(domain(X1)))) = domain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_2931]) ).
tcf(c_4284,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_2931]) ).
tcf(c_4285,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2931]) ).
tcf(c_4286,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2931]) ).
tcf(c_4287,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2931]) ).
tcf(c_4288,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2931]) ).
tcf(c_4291,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),codomain(a))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4279,c_70]) ).
tcf(c_4302,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),domain(a))) = domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4285,c_377]) ).
tcf(c_4319,plain,
( ( domain(compose(domain(b),codomain(h))) = domain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3354]) ).
tcf(c_4320,plain,
( ( domain(compose(domain(h),codomain(h))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3354]) ).
tcf(c_4321,plain,
( ( domain(compose(domain(g),codomain(h))) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3354]) ).
tcf(c_4322,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),codomain(h))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3354]) ).
tcf(c_4323,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),codomain(h))) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_3354]) ).
tcf(c_4324,plain,
( ( domain(compose(domain(compose(b,h)),codomain(h))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_3354]) ).
tcf(c_4325,plain,
( ( domain(compose(domain(compose(a,b)),codomain(h))) = domain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_3354]) ).
tcf(c_4326,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),codomain(h))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_3354]) ).
tcf(c_4327,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),codomain(h))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_3354]) ).
tcf(c_4328,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),codomain(h))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_3354]) ).
tcf(c_4334,plain,
( ( domain(compose(domain(a),codomain(h))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4325,c_377]) ).
tcf(c_4349,plain,
( ( domain(compose(domain(b),codomain(b))) = domain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3357]) ).
tcf(c_4350,plain,
domain(compose(domain(h),codomain(b))) = domain(h),
inference(superposition,[status(thm)],[c_71,c_3357]) ).
tcf(c_4351,plain,
domain(compose(domain(g),codomain(b))) = domain(g),
inference(superposition,[status(thm)],[c_72,c_3357]) ).
tcf(c_4352,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),codomain(b))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_3357]) ).
tcf(c_4353,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),codomain(b))) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_3357]) ).
tcf(c_4354,plain,
( ( domain(compose(domain(compose(b,h)),codomain(b))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_3357]) ).
tcf(c_4355,plain,
( ( domain(compose(domain(compose(a,b)),codomain(b))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_3357]) ).
tcf(c_4356,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),codomain(b))) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_3357]) ).
tcf(c_4357,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),codomain(b))) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_3357]) ).
tcf(c_4358,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),codomain(b))) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_3357]) ).
tcf(c_4373,plain,
( ( codomain(compose(domain(b),codomain(h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3409]) ).
tcf(c_4374,plain,
( ( codomain(compose(domain(h),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3409]) ).
tcf(c_4375,plain,
( ( codomain(compose(domain(g),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3409]) ).
tcf(c_4376,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),codomain(h))) = codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3409]) ).
tcf(c_4377,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),codomain(h))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_3409]) ).
tcf(c_4378,plain,
( ( codomain(compose(domain(compose(b,h)),codomain(h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_3409]) ).
tcf(c_4379,plain,
( ( codomain(compose(domain(compose(a,b)),codomain(h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_3409]) ).
tcf(c_4380,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),codomain(h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_3409]) ).
tcf(c_4381,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),codomain(h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_3409]) ).
tcf(c_4382,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),codomain(h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_3409]) ).
tcf(c_4388,plain,
( ( codomain(compose(domain(a),codomain(h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4379,c_377]) ).
tcf(c_4399,plain,
( ( codomain(compose(domain(b),codomain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3412]) ).
tcf(c_4400,plain,
codomain(compose(domain(h),codomain(b))) = codomain(b),
inference(superposition,[status(thm)],[c_71,c_3412]) ).
tcf(c_4401,plain,
codomain(compose(domain(g),codomain(b))) = codomain(b),
inference(superposition,[status(thm)],[c_72,c_3412]) ).
tcf(c_4402,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),codomain(b))) = codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_3412]) ).
tcf(c_4403,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),codomain(b))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_3412]) ).
tcf(c_4404,plain,
( ( codomain(compose(domain(compose(b,h)),codomain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_3412]) ).
tcf(c_4405,plain,
( ( codomain(compose(domain(compose(a,b)),codomain(b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_3412]) ).
tcf(c_4406,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),codomain(b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_3412]) ).
tcf(c_4407,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),codomain(b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_3412]) ).
tcf(c_4408,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),codomain(b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_3412]) ).
tcf(c_4430,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(a,b)),X0) = compose(compose(compose(a,b),h),compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_718]) ).
tcf(c_4431,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),domain(X0)),X1) = compose(compose(compose(a,b),h),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_718]) ).
tcf(c_4432,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),codomain(X0)),X1) = compose(compose(compose(a,b),h),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_718]) ).
tcf(c_4433,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(b,h)),X0) = compose(compose(compose(a,b),h),compose(compose(b,h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(b,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_718]) ).
tcf(c_4434,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(compose(a,b),h)),X0) = compose(compose(compose(a,b),h),compose(compose(compose(a,b),h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(compose(a,b),h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_718]) ).
tcf(c_4435,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(compose(a,b),g)),X0) = compose(compose(compose(a,b),h),compose(compose(compose(a,b),g),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(compose(a,b),g)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_718]) ).
tcf(c_4436,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(a,compose(b,h))),X0) = compose(compose(compose(a,b),h),compose(compose(a,compose(b,h)),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,compose(b,h))) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_718]) ).
tcf(c_4437,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),b) = compose(compose(compose(a,b),h),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_718]) ).
tcf(c_4438,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),h) = compose(compose(compose(a,b),h),compose(X0,h)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_718]) ).
tcf(c_4439,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),g) = compose(compose(compose(a,b),h),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_718]) ).
tcf(c_4440,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),codomain(X1)) = compose(compose(compose(a,b),h),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_718]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),domain(X1)) = compose(compose(compose(a,b),h),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_223,c_718]) ).
tcf(c_4442,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),compose(b,h)) = compose(compose(compose(a,b),h),compose(X0,compose(b,h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_718]) ).
tcf(c_4443,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),compose(a,b)) = compose(compose(compose(a,b),h),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_718]) ).
tcf(c_4444,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),compose(compose(a,b),g)) = compose(compose(compose(a,b),h),compose(X0,compose(compose(a,b),g))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_718]) ).
tcf(c_4445,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),compose(compose(a,b),h)) = compose(compose(compose(a,b),h),compose(X0,compose(compose(a,b),h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_718]) ).
tcf(c_4446,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),X0),compose(a,compose(b,h))) = compose(compose(compose(a,b),h),compose(X0,compose(a,compose(b,h)))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_718]) ).
tcf(c_4462,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),codomain(X0)),X1) = compose(compose(compose(a,b),h),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_4432,c_63]) ).
tcf(c_4466,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(compose(a,b),h),domain(X0)),X1) = compose(compose(compose(a,b),h),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_4431,c_223]) ).
tcf(c_4477,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(a,b)),X0) = compose(compose(compose(a,b),h),compose(compose(a,b),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4430,c_377]) ).
tcf(c_4490,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(a,compose(b,h))),X0) = compose(compose(compose(a,b),h),compose(compose(a,compose(b,h)),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4436,c_1893]) ).
tcf(c_4494,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(compose(a,b),g)),X0) = compose(compose(compose(a,b),h),compose(compose(compose(a,b),g),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4435,c_615]) ).
tcf(c_4498,plain,
! [X0: $i] :
( ( compose(compose(compose(compose(a,b),h),compose(compose(a,b),h)),X0) = compose(compose(compose(a,b),h),compose(compose(compose(a,b),h),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4434,c_614]) ).
tcf(c_4584,plain,
( ( codomain(compose(compose(compose(a,b),h),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_719]) ).
tcf(c_4585,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),h),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_719]) ).
tcf(c_4586,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),h),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_719]) ).
tcf(c_4587,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_719]) ).
tcf(c_4588,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_719]) ).
tcf(c_4589,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_719]) ).
tcf(c_4590,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_719]) ).
tcf(c_4591,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_719]) ).
tcf(c_4595,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4588,c_477]) ).
tcf(c_4599,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4591,c_2442]) ).
tcf(c_4602,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4590,c_602]) ).
tcf(c_4605,plain,
( ( codomain(compose(compose(compose(a,b),h),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4589,c_807]) ).
tcf(c_4612,plain,
codomain(compose(domain(b),codomain(a))) = codomain(a),
inference(superposition,[status(thm)],[c_70,c_4023]) ).
tcf(c_4613,plain,
( ( codomain(compose(domain(h),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_4023]) ).
tcf(c_4614,plain,
( ( codomain(compose(domain(g),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_4023]) ).
tcf(c_4615,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),codomain(a))) = codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4023]) ).
tcf(c_4616,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),codomain(a))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_4023]) ).
tcf(c_4617,plain,
codomain(compose(domain(compose(b,h)),codomain(a))) = codomain(a),
inference(superposition,[status(thm)],[c_417,c_4023]) ).
tcf(c_4618,plain,
( ( codomain(compose(domain(compose(a,b)),codomain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_4023]) ).
tcf(c_4619,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),codomain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_4023]) ).
tcf(c_4620,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),codomain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_4023]) ).
tcf(c_4621,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),codomain(a))) = codomain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_4023]) ).
tcf(c_4644,plain,
( ( domain(compose(compose(compose(a,b),h),compose(compose(a,b),g))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_729]) ).
tcf(c_4645,plain,
( ( domain(compose(compose(compose(a,b),h),compose(compose(a,b),h))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_729]) ).
tcf(c_4646,plain,
( ( domain(compose(compose(compose(a,b),h),compose(a,compose(b,h)))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_729]) ).
tcf(c_4656,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_3386,c_63]) ).
tcf(c_4665,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X1),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_4656]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(codomain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_4656]) ).
tcf(c_4688,plain,
( ( domain(compose(compose(b,h),codomain(compose(a,b)))) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_952]) ).
tcf(c_4689,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),codomain(domain(X0)))) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_952]) ).
tcf(c_4690,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),codomain(codomain(X0)))) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_952]) ).
tcf(c_4691,plain,
domain(compose(compose(b,h),codomain(g))) = codomain(a),
inference(superposition,[status(thm)],[c_518,c_952]) ).
tcf(c_4692,plain,
domain(compose(compose(b,h),codomain(compose(b,h)))) = codomain(a),
inference(superposition,[status(thm)],[c_502,c_952]) ).
tcf(c_4693,plain,
domain(compose(compose(b,h),codomain(compose(compose(a,b),h)))) = codomain(a),
inference(superposition,[status(thm)],[c_602,c_952]) ).
tcf(c_4694,plain,
domain(compose(compose(b,h),codomain(compose(compose(a,b),g)))) = codomain(a),
inference(superposition,[status(thm)],[c_807,c_952]) ).
tcf(c_4695,plain,
domain(compose(compose(b,h),codomain(compose(a,compose(b,h))))) = codomain(a),
inference(superposition,[status(thm)],[c_2442,c_952]) ).
tcf(c_4696,plain,
domain(compose(compose(b,h),codomain(h))) = codomain(a),
inference(equality_resolution,[status(thm)],[c_952]) ).
tcf(c_4705,plain,
( ( domain(compose(compose(b,h),codomain(b))) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4688,c_477]) ).
tcf(c_4712,plain,
domain(compose(compose(a,b),codomain(compose(a,b)))) = domain(a),
inference(superposition,[status(thm)],[c_477,c_955]) ).
tcf(c_4713,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(domain(X0)))) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_955]) ).
tcf(c_4714,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(codomain(X0)))) = domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_955]) ).
tcf(c_4715,plain,
( ( domain(compose(compose(a,b),codomain(g))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_955]) ).
tcf(c_4716,plain,
( ( domain(compose(compose(a,b),codomain(compose(b,h)))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_955]) ).
tcf(c_4717,plain,
( ( domain(compose(compose(a,b),codomain(compose(compose(a,b),h)))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_955]) ).
tcf(c_4718,plain,
( ( domain(compose(compose(a,b),codomain(compose(compose(a,b),g)))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_955]) ).
tcf(c_4719,plain,
( ( domain(compose(compose(a,b),codomain(compose(a,compose(b,h))))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_955]) ).
tcf(c_4720,plain,
domain(compose(compose(a,b),codomain(b))) = domain(a),
inference(equality_resolution,[status(thm)],[c_955]) ).
tcf(c_4723,plain,
( ( domain(compose(compose(a,b),codomain(h))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4715,c_518]) ).
tcf(c_4736,plain,
domain(compose(domain(b),compose(b,h))) = domain(b),
inference(superposition,[status(thm)],[c_70,c_1120]) ).
tcf(c_4737,plain,
( ( domain(compose(domain(h),compose(b,h))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1120]) ).
tcf(c_4738,plain,
( ( domain(compose(domain(g),compose(b,h))) = domain(g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1120]) ).
tcf(c_4739,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),compose(b,h))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1120]) ).
tcf(c_4740,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),compose(b,h))) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1120]) ).
tcf(c_4741,plain,
domain(compose(domain(compose(b,h)),compose(b,h))) = domain(compose(b,h)),
inference(superposition,[status(thm)],[c_417,c_1120]) ).
tcf(c_4742,plain,
( ( domain(compose(domain(compose(a,b)),compose(b,h))) = domain(compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1120]) ).
tcf(c_4743,plain,
( ( domain(compose(domain(compose(compose(a,b),g)),compose(b,h))) = domain(compose(compose(a,b),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1120]) ).
tcf(c_4744,plain,
( ( domain(compose(domain(compose(compose(a,b),h)),compose(b,h))) = domain(compose(compose(a,b),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1120]) ).
tcf(c_4745,plain,
( ( domain(compose(domain(compose(a,compose(b,h))),compose(b,h))) = domain(compose(a,compose(b,h))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1120]) ).
tcf(c_4760,plain,
( ( domain(compose(domain(h),compose(a,b))) = domain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_1121]) ).
tcf(c_4761,plain,
( ( domain(compose(domain(g),compose(a,b))) = domain(g) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1121]) ).
tcf(c_4762,plain,
! [X0: $i] :
( ( domain(compose(domain(codomain(X0)),compose(a,b))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1121]) ).
tcf(c_4763,plain,
! [X0: $i] :
( ( domain(compose(domain(domain(X0)),compose(a,b))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1121]) ).
tcf(c_4764,plain,
( ( domain(compose(domain(compose(b,h)),compose(a,b))) = domain(compose(b,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1121]) ).
tcf(c_4765,plain,
domain(compose(domain(compose(a,b)),compose(a,b))) = domain(compose(a,b)),
inference(superposition,[status(thm)],[c_377,c_1121]) ).
tcf(c_4766,plain,
domain(compose(domain(compose(compose(a,b),g)),compose(a,b))) = domain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_615,c_1121]) ).
tcf(c_4767,plain,
domain(compose(domain(compose(compose(a,b),h)),compose(a,b))) = domain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_614,c_1121]) ).
tcf(c_4768,plain,
domain(compose(domain(compose(a,compose(b,h))),compose(a,b))) = domain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_1893,c_1121]) ).
tcf(c_4784,plain,
( ( codomain(compose(domain(h),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_1239]) ).
tcf(c_4785,plain,
( ( codomain(compose(domain(g),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1239]) ).
tcf(c_4786,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1239]) ).
tcf(c_4787,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),compose(a,b))) = codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1239]) ).
tcf(c_4788,plain,
( ( codomain(compose(domain(compose(b,h)),compose(a,b))) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_1239]) ).
tcf(c_4789,plain,
codomain(compose(domain(compose(a,b)),compose(a,b))) = codomain(b),
inference(superposition,[status(thm)],[c_377,c_1239]) ).
tcf(c_4790,plain,
codomain(compose(domain(compose(compose(a,b),g)),compose(a,b))) = codomain(b),
inference(superposition,[status(thm)],[c_615,c_1239]) ).
tcf(c_4791,plain,
codomain(compose(domain(compose(compose(a,b),h)),compose(a,b))) = codomain(b),
inference(superposition,[status(thm)],[c_614,c_1239]) ).
tcf(c_4792,plain,
codomain(compose(domain(compose(a,compose(b,h))),compose(a,b))) = codomain(b),
inference(superposition,[status(thm)],[c_1893,c_1239]) ).
tcf(c_4793,plain,
codomain(compose(domain(a),compose(a,b))) = codomain(b),
inference(equality_resolution,[status(thm)],[c_1239]) ).
tcf(c_4808,plain,
codomain(compose(domain(b),compose(b,h))) = codomain(h),
inference(superposition,[status(thm)],[c_70,c_1242]) ).
tcf(c_4809,plain,
( ( codomain(compose(domain(h),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_1242]) ).
tcf(c_4810,plain,
( ( codomain(compose(domain(g),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_1242]) ).
tcf(c_4811,plain,
! [X0: $i] :
( ( codomain(compose(domain(codomain(X0)),compose(b,h))) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_1242]) ).
tcf(c_4812,plain,
! [X0: $i] :
( ( codomain(compose(domain(domain(X0)),compose(b,h))) = codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_1242]) ).
tcf(c_4813,plain,
codomain(compose(domain(compose(b,h)),compose(b,h))) = codomain(h),
inference(superposition,[status(thm)],[c_417,c_1242]) ).
tcf(c_4814,plain,
( ( codomain(compose(domain(compose(a,b)),compose(b,h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1242]) ).
tcf(c_4815,plain,
( ( codomain(compose(domain(compose(compose(a,b),g)),compose(b,h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1242]) ).
tcf(c_4816,plain,
( ( codomain(compose(domain(compose(compose(a,b),h)),compose(b,h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1242]) ).
tcf(c_4817,plain,
( ( codomain(compose(domain(compose(a,compose(b,h))),compose(b,h))) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1242]) ).
tcf(c_4832,plain,
( ( domain(compose(compose(b,h),domain(b))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1331]) ).
tcf(c_4833,plain,
( ( domain(compose(compose(b,h),domain(h))) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_1331]) ).
tcf(c_4834,plain,
( ( domain(compose(compose(b,h),domain(g))) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1331]) ).
tcf(c_4835,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),domain(codomain(X0)))) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1331]) ).
tcf(c_4836,plain,
! [X0: $i] :
( ( domain(compose(compose(b,h),domain(domain(X0)))) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_1331]) ).
tcf(c_4837,plain,
( ( domain(compose(compose(b,h),domain(compose(b,h)))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_1331]) ).
tcf(c_4838,plain,
( ( domain(compose(compose(b,h),domain(compose(a,b)))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1331]) ).
tcf(c_4839,plain,
( ( domain(compose(compose(b,h),domain(compose(compose(a,b),g)))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1331]) ).
tcf(c_4840,plain,
( ( domain(compose(compose(b,h),domain(compose(compose(a,b),h)))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1331]) ).
tcf(c_4841,plain,
( ( domain(compose(compose(b,h),domain(compose(a,compose(b,h))))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1331]) ).
tcf(c_4844,plain,
( ( domain(compose(compose(b,h),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4832,c_70]) ).
tcf(c_4849,plain,
( ( domain(compose(compose(b,h),domain(a))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4838,c_377]) ).
tcf(c_4860,plain,
( ( domain(compose(compose(a,b),domain(b))) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_1334]) ).
tcf(c_4861,plain,
domain(compose(compose(a,b),domain(h))) = domain(a),
inference(superposition,[status(thm)],[c_71,c_1334]) ).
tcf(c_4862,plain,
domain(compose(compose(a,b),domain(g))) = domain(a),
inference(superposition,[status(thm)],[c_72,c_1334]) ).
tcf(c_4863,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(codomain(X0)))) = domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_1334]) ).
tcf(c_4864,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(domain(X0)))) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_1334]) ).
tcf(c_4865,plain,
( ( domain(compose(compose(a,b),domain(compose(b,h)))) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_1334]) ).
tcf(c_4866,plain,
( ( domain(compose(compose(a,b),domain(compose(a,b)))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1334]) ).
tcf(c_4867,plain,
( ( domain(compose(compose(a,b),domain(compose(compose(a,b),g)))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1334]) ).
tcf(c_4868,plain,
( ( domain(compose(compose(a,b),domain(compose(compose(a,b),h)))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1334]) ).
tcf(c_4869,plain,
( ( domain(compose(compose(a,b),domain(compose(a,compose(b,h))))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1334]) ).
tcf(c_4872,plain,
( ( domain(compose(compose(a,b),codomain(a))) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4860,c_70]) ).
tcf(c_4877,plain,
( ( domain(compose(compose(a,b),domain(a))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4866,c_377]) ).
tcf(c_4889,plain,
( ( codomain(compose(codomain(compose(a,b)),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_1381]) ).
tcf(c_4890,plain,
! [X0: $i] :
( ( codomain(compose(codomain(domain(X0)),compose(a,b))) = codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1381]) ).
tcf(c_4891,plain,
! [X0: $i] :
( ( codomain(compose(codomain(codomain(X0)),compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_1381]) ).
tcf(c_4892,plain,
( ( codomain(compose(codomain(compose(b,h)),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_1381]) ).
tcf(c_4893,plain,
( ( codomain(compose(codomain(compose(compose(a,b),h)),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_1381]) ).
tcf(c_4894,plain,
( ( codomain(compose(codomain(compose(compose(a,b),g)),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_1381]) ).
tcf(c_4895,plain,
( ( codomain(compose(codomain(compose(a,compose(b,h))),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_1381]) ).
tcf(c_4907,plain,
( ( codomain(compose(codomain(compose(a,b)),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1384]) ).
tcf(c_4908,plain,
! [X0: $i] :
( ( codomain(compose(codomain(domain(X0)),compose(b,h))) = codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1384]) ).
tcf(c_4909,plain,
! [X0: $i] :
( ( codomain(compose(codomain(codomain(X0)),compose(b,h))) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_1384]) ).
tcf(c_4910,plain,
( ( codomain(compose(codomain(g),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_1384]) ).
tcf(c_4911,plain,
( ( codomain(compose(codomain(compose(b,h)),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1384]) ).
tcf(c_4912,plain,
( ( codomain(compose(codomain(compose(compose(a,b),h)),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1384]) ).
tcf(c_4913,plain,
( ( codomain(compose(codomain(compose(compose(a,b),g)),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1384]) ).
tcf(c_4914,plain,
( ( codomain(compose(codomain(compose(a,compose(b,h))),compose(b,h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1384]) ).
tcf(c_4915,plain,
codomain(compose(codomain(a),compose(b,h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_1384]) ).
tcf(c_4936,plain,
( ( domain(compose(codomain(compose(a,b)),compose(b,h))) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_477,c_1526]) ).
tcf(c_4937,plain,
! [X0: $i] :
( ( domain(compose(codomain(domain(X0)),compose(b,h))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1526]) ).
tcf(c_4938,plain,
! [X0: $i] :
( ( domain(compose(codomain(codomain(X0)),compose(b,h))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_1526]) ).
tcf(c_4939,plain,
( ( domain(compose(codomain(g),compose(b,h))) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_1526]) ).
tcf(c_4940,plain,
( ( domain(compose(codomain(compose(b,h)),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1526]) ).
tcf(c_4941,plain,
( ( domain(compose(codomain(compose(compose(a,b),h)),compose(b,h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_1526]) ).
tcf(c_4942,plain,
( ( domain(compose(codomain(compose(compose(a,b),g)),compose(b,h))) = codomain(compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_1526]) ).
tcf(c_4943,plain,
( ( domain(compose(codomain(compose(a,compose(b,h))),compose(b,h))) = codomain(compose(a,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_1526]) ).
tcf(c_4957,plain,
( ( domain(compose(codomain(compose(a,b)),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_1527]) ).
tcf(c_4958,plain,
! [X0: $i] :
( ( domain(compose(codomain(domain(X0)),compose(a,b))) = codomain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1527]) ).
tcf(c_4959,plain,
! [X0: $i] :
( ( domain(compose(codomain(codomain(X0)),compose(a,b))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_1527]) ).
tcf(c_4960,plain,
( ( domain(compose(codomain(compose(b,h)),compose(a,b))) = codomain(compose(b,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_1527]) ).
tcf(c_4961,plain,
( ( domain(compose(codomain(compose(compose(a,b),h)),compose(a,b))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_1527]) ).
tcf(c_4962,plain,
( ( domain(compose(codomain(compose(compose(a,b),g)),compose(a,b))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_1527]) ).
tcf(c_4963,plain,
( ( domain(compose(codomain(compose(a,compose(b,h))),compose(a,b))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_1527]) ).
tcf(c_4995,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_394,c_477]) ).
tcf(c_5007,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_4995]) ).
tcf(c_5008,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_4995]) ).
tcf(c_5017,plain,
( ( domain(compose(compose(a,b),compose(compose(a,b),h))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_760]) ).
tcf(c_5018,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(compose(a,b),h))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_760]) ).
tcf(c_5019,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(compose(a,b),h))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_760]) ).
tcf(c_5020,plain,
( ( domain(compose(compose(b,h),compose(compose(a,b),h))) = domain(compose(b,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_760]) ).
tcf(c_5021,plain,
( ( domain(compose(compose(compose(a,b),h),compose(compose(a,b),h))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_760]) ).
tcf(c_5022,plain,
( ( domain(compose(compose(compose(a,b),g),compose(compose(a,b),h))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_760]) ).
tcf(c_5023,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(compose(a,b),h))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_760]) ).
tcf(c_5028,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(compose(a,b),h))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5023,c_1893]) ).
tcf(c_5031,plain,
( ( domain(compose(compose(compose(a,b),g),compose(compose(a,b),h))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5022,c_615]) ).
tcf(c_5039,plain,
( ( domain(compose(compose(a,b),compose(compose(a,b),g))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_786]) ).
tcf(c_5040,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(compose(a,b),g))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_786]) ).
tcf(c_5041,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(compose(a,b),g))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_786]) ).
tcf(c_5042,plain,
( ( domain(compose(compose(b,h),compose(compose(a,b),g))) = domain(compose(b,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_786]) ).
tcf(c_5043,plain,
( ( domain(compose(compose(compose(a,b),h),compose(compose(a,b),g))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_786]) ).
tcf(c_5044,plain,
( ( domain(compose(compose(compose(a,b),g),compose(compose(a,b),g))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_786]) ).
tcf(c_5045,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(compose(a,b),g))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_786]) ).
tcf(c_5050,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(compose(a,b),g))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5045,c_1893]) ).
tcf(c_5053,plain,
( ( domain(compose(compose(compose(a,b),g),compose(compose(a,b),g))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5044,c_615]) ).
tcf(c_5065,plain,
codomain(compose(compose(a,b),codomain(compose(a,b)))) = codomain(compose(a,b)),
inference(superposition,[status(thm)],[c_477,c_2738]) ).
tcf(c_5066,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_2738]) ).
tcf(c_5067,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_224,c_2738]) ).
tcf(c_5068,plain,
( ( codomain(compose(compose(a,b),codomain(g))) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_518,c_2738]) ).
tcf(c_5069,plain,
( ( codomain(compose(compose(a,b),codomain(compose(b,h)))) = codomain(compose(b,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_2738]) ).
tcf(c_5070,plain,
( ( codomain(compose(compose(a,b),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_602,c_2738]) ).
tcf(c_5071,plain,
( ( codomain(compose(compose(a,b),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_807,c_2738]) ).
tcf(c_5072,plain,
( ( codomain(compose(compose(a,b),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_2442,c_2738]) ).
tcf(c_5073,plain,
codomain(compose(compose(a,b),codomain(b))) = codomain(b),
inference(equality_resolution,[status(thm)],[c_2738]) ).
tcf(c_5076,plain,
( ( codomain(compose(compose(a,b),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5068,c_518]) ).
tcf(c_5089,plain,
( ( codomain(compose(compose(b,h),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_2742]) ).
tcf(c_5090,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2742]) ).
tcf(c_5091,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),codomain(codomain(X0)))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_2742]) ).
tcf(c_5092,plain,
codomain(compose(compose(b,h),codomain(g))) = codomain(g),
inference(superposition,[status(thm)],[c_518,c_2742]) ).
tcf(c_5093,plain,
codomain(compose(compose(b,h),codomain(compose(b,h)))) = codomain(compose(b,h)),
inference(superposition,[status(thm)],[c_502,c_2742]) ).
tcf(c_5094,plain,
codomain(compose(compose(b,h),codomain(compose(compose(a,b),h)))) = codomain(compose(compose(a,b),h)),
inference(superposition,[status(thm)],[c_602,c_2742]) ).
tcf(c_5095,plain,
codomain(compose(compose(b,h),codomain(compose(compose(a,b),g)))) = codomain(compose(compose(a,b),g)),
inference(superposition,[status(thm)],[c_807,c_2742]) ).
tcf(c_5096,plain,
codomain(compose(compose(b,h),codomain(compose(a,compose(b,h))))) = codomain(compose(a,compose(b,h))),
inference(superposition,[status(thm)],[c_2442,c_2742]) ).
tcf(c_5097,plain,
codomain(compose(compose(b,h),codomain(h))) = codomain(h),
inference(equality_resolution,[status(thm)],[c_2742]) ).
tcf(c_5106,plain,
( ( codomain(compose(compose(b,h),codomain(b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5089,c_477]) ).
tcf(c_5114,plain,
( ( codomain(compose(compose(a,b),domain(b))) = domain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_2929]) ).
tcf(c_5115,plain,
codomain(compose(compose(a,b),domain(h))) = domain(h),
inference(superposition,[status(thm)],[c_71,c_2929]) ).
tcf(c_5116,plain,
codomain(compose(compose(a,b),domain(g))) = domain(g),
inference(superposition,[status(thm)],[c_72,c_2929]) ).
tcf(c_5117,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_2929]) ).
tcf(c_5118,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_223,c_2929]) ).
tcf(c_5119,plain,
( ( codomain(compose(compose(a,b),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_417,c_2929]) ).
tcf(c_5120,plain,
( ( codomain(compose(compose(a,b),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2929]) ).
tcf(c_5121,plain,
( ( codomain(compose(compose(a,b),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2929]) ).
tcf(c_5122,plain,
( ( codomain(compose(compose(a,b),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2929]) ).
tcf(c_5123,plain,
( ( codomain(compose(compose(a,b),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2929]) ).
tcf(c_5126,plain,
( ( codomain(compose(compose(a,b),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5114,c_70]) ).
tcf(c_5131,plain,
( ( codomain(compose(compose(a,b),domain(a))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5120,c_377]) ).
tcf(c_5142,plain,
( ( codomain(compose(compose(b,h),domain(b))) = domain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_2932]) ).
tcf(c_5143,plain,
( ( codomain(compose(compose(b,h),domain(h))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_2932]) ).
tcf(c_5144,plain,
( ( codomain(compose(compose(b,h),domain(g))) = domain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2932]) ).
tcf(c_5145,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),domain(codomain(X0)))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2932]) ).
tcf(c_5146,plain,
! [X0: $i] :
( ( codomain(compose(compose(b,h),domain(domain(X0)))) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2932]) ).
tcf(c_5147,plain,
( ( codomain(compose(compose(b,h),domain(compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2932]) ).
tcf(c_5148,plain,
( ( codomain(compose(compose(b,h),domain(compose(a,b)))) = domain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2932]) ).
tcf(c_5149,plain,
( ( codomain(compose(compose(b,h),domain(compose(compose(a,b),g)))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2932]) ).
tcf(c_5150,plain,
( ( codomain(compose(compose(b,h),domain(compose(compose(a,b),h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2932]) ).
tcf(c_5151,plain,
( ( codomain(compose(compose(b,h),domain(compose(a,compose(b,h))))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2932]) ).
tcf(c_5154,plain,
( ( codomain(compose(compose(b,h),codomain(a))) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5142,c_70]) ).
tcf(c_5159,plain,
( ( codomain(compose(compose(b,h),domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5148,c_377]) ).
tcf(c_5181,plain,
( ( codomain(compose(compose(compose(a,b),g),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1008]) ).
tcf(c_5182,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),g),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1008]) ).
tcf(c_5183,plain,
! [X0: $i] :
( ( codomain(compose(compose(compose(a,b),g),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_1008]) ).
tcf(c_5184,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_1008]) ).
tcf(c_5185,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1008]) ).
tcf(c_5186,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1008]) ).
tcf(c_5187,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1008]) ).
tcf(c_5188,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1008]) ).
tcf(c_5194,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5188,c_2442]) ).
tcf(c_5197,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5187,c_602]) ).
tcf(c_5200,plain,
( ( codomain(compose(compose(compose(a,b),g),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5186,c_807]) ).
tcf(c_5207,plain,
( ( domain(compose(compose(a,b),compose(a,compose(b,h)))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_477,c_2165]) ).
tcf(c_5208,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,compose(b,h)))) = domain(domain(X0)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_2165]) ).
tcf(c_5209,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,compose(b,h)))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_224,c_2165]) ).
tcf(c_5210,plain,
( ( domain(compose(compose(b,h),compose(a,compose(b,h)))) = domain(compose(b,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_2165]) ).
tcf(c_5211,plain,
( ( domain(compose(compose(compose(a,b),h),compose(a,compose(b,h)))) = domain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_602,c_2165]) ).
tcf(c_5212,plain,
( ( domain(compose(compose(compose(a,b),g),compose(a,compose(b,h)))) = domain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_807,c_2165]) ).
tcf(c_5213,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(a,compose(b,h)))) = domain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_2165]) ).
tcf(c_5218,plain,
( ( domain(compose(compose(a,compose(b,h)),compose(a,compose(b,h)))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5213,c_1893]) ).
tcf(c_5221,plain,
( ( domain(compose(compose(compose(a,b),g),compose(a,compose(b,h)))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5212,c_615]) ).
tcf(c_5261,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(compose(a,b),h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_2442,c_763]) ).
tcf(c_5274,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),b) = compose(X0,compose(compose(compose(a,b),h),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_766]) ).
tcf(c_5275,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),h) = compose(X0,compose(compose(compose(a,b),h),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_766]) ).
tcf(c_5276,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),g) = compose(X0,compose(compose(compose(a,b),h),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_766]) ).
tcf(c_5277,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(compose(a,b),h)),codomain(X0)) = compose(X1,compose(compose(compose(a,b),h),codomain(X0))) )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_766]) ).
tcf(c_5278,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),domain(X1)) = compose(X0,compose(compose(compose(a,b),h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_766]) ).
tcf(c_5279,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),compose(b,h)) = compose(X0,compose(compose(compose(a,b),h),compose(b,h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_766]) ).
tcf(c_5280,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),compose(a,b)) = compose(X0,compose(compose(compose(a,b),h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_766]) ).
tcf(c_5281,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),compose(compose(a,b),g)) = compose(X0,compose(compose(compose(a,b),h),compose(compose(a,b),g))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_766]) ).
tcf(c_5282,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),compose(compose(a,b),h)) = compose(X0,compose(compose(compose(a,b),h),compose(compose(a,b),h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_766]) ).
tcf(c_5283,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),h)),compose(a,compose(b,h))) = compose(X0,compose(compose(compose(a,b),h),compose(a,compose(b,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_766]) ).
tcf(c_5330,plain,
( ( codomain(compose(compose(a,compose(b,h)),g)) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_2485]) ).
tcf(c_5331,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,compose(b,h)),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2485]) ).
tcf(c_5332,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,compose(b,h)),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_2485]) ).
tcf(c_5333,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(b,h))) = codomain(compose(b,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_2485]) ).
tcf(c_5334,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_2485]) ).
tcf(c_5335,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(compose(a,b),g))) = codomain(compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_2485]) ).
tcf(c_5336,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(compose(a,b),h))) = codomain(compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_2485]) ).
tcf(c_5337,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(a,compose(b,h)))) = codomain(compose(a,compose(b,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_2485]) ).
tcf(c_5343,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(a,compose(b,h)))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5337,c_2442]) ).
tcf(c_5347,plain,
( ( codomain(compose(compose(a,compose(b,h)),compose(compose(a,b),g))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5335,c_807]) ).
tcf(c_5350,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X1),codomain(X0))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_3336,c_63]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X1),codomain(codomain(X0)))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_5350]) ).
tcf(c_5367,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(codomain(X1)),codomain(X0))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_224,c_5350]) ).
tcf(c_5384,plain,
( ( compose(compose(b,h),b) = compose(b,compose(h,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_858]) ).
tcf(c_5385,plain,
( ( compose(compose(b,h),h) = compose(b,compose(h,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_858]) ).
tcf(c_5386,plain,
( ( compose(compose(b,h),g) = compose(b,compose(h,g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_858]) ).
tcf(c_5387,plain,
! [X0: $i] :
( ( compose(compose(b,h),codomain(X0)) = compose(b,compose(h,codomain(X0))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_858]) ).
tcf(c_5388,plain,
! [X0: $i] :
( ( compose(compose(b,h),domain(X0)) = compose(b,compose(h,domain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_858]) ).
tcf(c_5389,plain,
( ( compose(compose(b,h),compose(b,h)) = compose(b,compose(h,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_858]) ).
tcf(c_5390,plain,
( ( compose(compose(b,h),compose(a,b)) = compose(b,compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_858]) ).
tcf(c_5391,plain,
( ( compose(compose(b,h),compose(compose(a,b),g)) = compose(b,compose(h,compose(compose(a,b),g))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_858]) ).
tcf(c_5392,plain,
( ( compose(compose(b,h),compose(compose(a,b),h)) = compose(b,compose(h,compose(compose(a,b),h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_858]) ).
tcf(c_5393,plain,
( ( compose(compose(b,h),compose(a,compose(b,h))) = compose(b,compose(h,compose(a,compose(b,h)))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_858]) ).
tcf(c_5458,plain,
( ( compose(compose(b,h),b) = compose(b,compose(g,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1480]) ).
tcf(c_5459,plain,
( ( compose(compose(b,h),h) = compose(b,compose(g,h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_1480]) ).
tcf(c_5460,plain,
( ( compose(compose(b,h),g) = compose(b,compose(g,g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1480]) ).
tcf(c_5461,plain,
! [X0: $i] :
( ( compose(compose(b,h),codomain(X0)) = compose(b,compose(g,codomain(X0))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1480]) ).
tcf(c_5462,plain,
! [X0: $i] :
( ( compose(compose(b,h),domain(X0)) = compose(b,compose(g,domain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_223,c_1480]) ).
tcf(c_5463,plain,
( ( compose(compose(b,h),compose(b,h)) = compose(b,compose(g,compose(b,h))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_417,c_1480]) ).
tcf(c_5464,plain,
( ( compose(compose(b,h),compose(a,b)) = compose(b,compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_1480]) ).
tcf(c_5465,plain,
( ( compose(compose(b,h),compose(compose(a,b),g)) = compose(b,compose(g,compose(compose(a,b),g))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_1480]) ).
tcf(c_5466,plain,
( ( compose(compose(b,h),compose(compose(a,b),h)) = compose(b,compose(g,compose(compose(a,b),h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_1480]) ).
tcf(c_5467,plain,
( ( compose(compose(b,h),compose(a,compose(b,h))) = compose(b,compose(g,compose(a,compose(b,h)))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_1480]) ).
tcf(c_5502,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),X1) = compose(X0,compose(compose(compose(a,b),g),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_784,c_807]) ).
tcf(c_5512,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),b) = compose(X0,compose(compose(compose(a,b),g),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_5502]) ).
tcf(c_5513,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),h) = compose(X0,compose(compose(compose(a,b),g),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_5502]) ).
tcf(c_5514,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),g) = compose(X0,compose(compose(compose(a,b),g),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_5502]) ).
tcf(c_5515,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(compose(a,b),g)),codomain(X0)) = compose(X1,compose(compose(compose(a,b),g),codomain(X0))) )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_5502]) ).
tcf(c_5516,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),domain(X1)) = compose(X0,compose(compose(compose(a,b),g),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_223,c_5502]) ).
tcf(c_5517,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),compose(b,h)) = compose(X0,compose(compose(compose(a,b),g),compose(b,h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_417,c_5502]) ).
tcf(c_5518,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),compose(a,b)) = compose(X0,compose(compose(compose(a,b),g),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_377,c_5502]) ).
tcf(c_5519,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),compose(compose(a,b),g)) = compose(X0,compose(compose(compose(a,b),g),compose(compose(a,b),g))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_615,c_5502]) ).
tcf(c_5520,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),compose(compose(a,b),h)) = compose(X0,compose(compose(compose(a,b),g),compose(compose(a,b),h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_614,c_5502]) ).
tcf(c_5521,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(compose(a,b),g)),compose(a,compose(b,h))) = compose(X0,compose(compose(compose(a,b),g),compose(a,compose(b,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_1893,c_5502]) ).
tcf(c_5658,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(compose(a,b),g))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_785,c_807]) ).
tcf(c_5688,plain,
( ( compose(compose(b,h),codomain(compose(a,b))) = compose(b,compose(h,codomain(compose(a,b)))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_5387]) ).
tcf(c_5689,plain,
! [X0: $i] :
( ( compose(compose(b,h),codomain(domain(X0))) = compose(b,compose(h,codomain(domain(X0)))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_5387]) ).
tcf(c_5690,plain,
! [X0: $i] :
( ( compose(compose(b,h),codomain(codomain(X0))) = compose(b,compose(h,codomain(codomain(X0)))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_5387]) ).
tcf(c_5691,plain,
compose(compose(b,h),codomain(g)) = compose(b,compose(h,codomain(g))),
inference(superposition,[status(thm)],[c_518,c_5387]) ).
tcf(c_5692,plain,
compose(compose(b,h),codomain(compose(b,h))) = compose(b,compose(h,codomain(compose(b,h)))),
inference(superposition,[status(thm)],[c_502,c_5387]) ).
tcf(c_5693,plain,
compose(compose(b,h),codomain(compose(compose(a,b),h))) = compose(b,compose(h,codomain(compose(compose(a,b),h)))),
inference(superposition,[status(thm)],[c_602,c_5387]) ).
tcf(c_5694,plain,
compose(compose(b,h),codomain(compose(compose(a,b),g))) = compose(b,compose(h,codomain(compose(compose(a,b),g)))),
inference(superposition,[status(thm)],[c_807,c_5387]) ).
tcf(c_5695,plain,
compose(compose(b,h),codomain(compose(a,compose(b,h)))) = compose(b,compose(h,codomain(compose(a,compose(b,h))))),
inference(superposition,[status(thm)],[c_2442,c_5387]) ).
tcf(c_5696,plain,
compose(compose(b,h),codomain(h)) = compose(b,compose(h,codomain(h))),
inference(equality_resolution,[status(thm)],[c_5387]) ).
tcf(c_5697,plain,
compose(b,compose(h,codomain(h))) = compose(b,h),
inference(light_normalisation,[status(thm)],[c_5696,c_649]) ).
tcf(c_5705,plain,
( ( compose(compose(b,h),codomain(b)) = compose(b,compose(h,codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5688,c_477]) ).
tcf(c_5718,plain,
( ( domain(compose(compose(compose(a,b),h),codomain(compose(a,b)))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_958]) ).
tcf(c_5719,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),codomain(domain(X0)))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_958]) ).
tcf(c_5720,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),h),codomain(codomain(X0)))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_958]) ).
tcf(c_5721,plain,
domain(compose(compose(compose(a,b),h),codomain(g))) = domain(a),
inference(superposition,[status(thm)],[c_518,c_958]) ).
tcf(c_5722,plain,
domain(compose(compose(compose(a,b),h),codomain(compose(b,h)))) = domain(a),
inference(superposition,[status(thm)],[c_502,c_958]) ).
tcf(c_5723,plain,
domain(compose(compose(compose(a,b),h),codomain(compose(compose(a,b),h)))) = domain(a),
inference(superposition,[status(thm)],[c_602,c_958]) ).
tcf(c_5724,plain,
domain(compose(compose(compose(a,b),h),codomain(compose(compose(a,b),g)))) = domain(a),
inference(superposition,[status(thm)],[c_807,c_958]) ).
tcf(c_5725,plain,
domain(compose(compose(compose(a,b),h),codomain(compose(a,compose(b,h))))) = domain(a),
inference(superposition,[status(thm)],[c_2442,c_958]) ).
tcf(c_5726,plain,
domain(compose(compose(compose(a,b),h),codomain(h))) = domain(a),
inference(equality_resolution,[status(thm)],[c_958]) ).
tcf(c_5735,plain,
( ( domain(compose(compose(compose(a,b),h),codomain(b))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5718,c_477]) ).
tcf(c_5747,plain,
( ( domain(compose(compose(compose(a,b),g),codomain(compose(a,b)))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_477,c_1034]) ).
tcf(c_5748,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),codomain(domain(X0)))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_1034]) ).
tcf(c_5749,plain,
! [X0: $i] :
( ( domain(compose(compose(compose(a,b),g),codomain(codomain(X0)))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_224,c_1034]) ).
tcf(c_5750,plain,
domain(compose(compose(compose(a,b),g),codomain(g))) = domain(a),
inference(superposition,[status(thm)],[c_518,c_1034]) ).
tcf(c_5751,plain,
domain(compose(compose(compose(a,b),g),codomain(compose(b,h)))) = domain(a),
inference(superposition,[status(thm)],[c_502,c_1034]) ).
tcf(c_5752,plain,
domain(compose(compose(compose(a,b),g),codomain(compose(compose(a,b),h)))) = domain(a),
inference(superposition,[status(thm)],[c_602,c_1034]) ).
tcf(c_5753,plain,
domain(compose(compose(compose(a,b),g),codomain(compose(compose(a,b),g)))) = domain(a),
inference(superposition,[status(thm)],[c_807,c_1034]) ).
tcf(c_5754,plain,
domain(compose(compose(compose(a,b),g),codomain(compose(a,compose(b,h))))) = domain(a),
inference(superposition,[status(thm)],[c_2442,c_1034]) ).
tcf(c_5755,plain,
domain(compose(compose(compose(a,b),g),codomain(h))) = domain(a),
inference(equality_resolution,[status(thm)],[c_1034]) ).
tcf(c_5764,plain,
( ( domain(compose(compose(compose(a,b),g),codomain(b))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5747,c_477]) ).
tcf(c_5769,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5755,c_5754,c_5753,c_5752,c_5751,c_5750,c_5749,c_5748,c_5747,c_5726,c_5725,c_5724,c_5723,c_5722,c_5721,c_5720,c_5719,c_5718,c_5697,c_5696,c_5695,c_5694,c_5693,c_5692,c_5691,c_5690,c_5689,c_5688,c_5658,c_5521,c_5520,c_5519,c_5518,c_5517,c_5516,c_5515,c_5514,c_5513,c_5512,c_5502,c_5467,c_5466,c_5465,c_5464,c_5463,c_5462,c_5461,c_5460,c_5459,c_5458,c_5705,c_5393,c_5392,c_5391,c_5390,c_5389,c_5388,c_5387,c_5386,c_5385,c_5384,c_5367,c_5359,c_5350,c_5347,c_5343,c_5337,c_5336,c_5335,c_5334,c_5333,c_5332,c_5331,c_5330,c_5283,c_5282,c_5281,c_5280,c_5279,c_5278,c_5277,c_5276,c_5275,c_5274,c_5261,c_5221,c_5218,c_5213,c_5212,c_5211,c_5210,c_5209,c_5208,c_5207,c_5200,c_5197,c_5194,c_5188,c_5187,c_5186,c_5185,c_5184,c_5183,c_5182,c_5181,c_5159,c_5154,c_5151,c_5150,c_5149,c_5148,c_5147,c_5146,c_5145,c_5144,c_5143,c_5142,c_5131,c_5126,c_5123,c_5122,c_5121,c_5120,c_5119,c_5118,c_5117,c_5116,c_5115,c_5114,c_5097,c_5096,c_5095,c_5094,c_5093,c_5092,c_5091,c_5090,c_5089,c_5076,c_5073,c_5072,c_5071,c_5070,c_5069,c_5068,c_5067,c_5066,c_5065,c_5053,c_5050,c_5045,c_5044,c_5043,c_5042,c_5041,c_5040,c_5039,c_5031,c_5028,c_5023,c_5022,c_5021,c_5020,c_5019,c_5018,c_5017,c_5008,c_5007,c_4995,c_4963,c_4962,c_4961,c_4960,c_4959,c_4958,c_4957,c_4943,c_4942,c_4941,c_4940,c_4939,c_4938,c_4937,c_4936,c_4915,c_4914,c_4913,c_4912,c_4911,c_4910,c_4909,c_4908,c_4907,c_4895,c_4894,c_4893,c_4892,c_4891,c_4890,c_4889,c_4877,c_4872,c_4869,c_4868,c_4867,c_4866,c_4865,c_4864,c_4863,c_4862,c_4861,c_4860,c_4849,c_4844,c_4841,c_4840,c_4839,c_4838,c_4837,c_4836,c_4835,c_4834,c_4833,c_4832,c_4817,c_4816,c_4815,c_4814,c_4813,c_4812,c_4811,c_4810,c_4809,c_4808,c_4793,c_4792,c_4791,c_4790,c_4789,c_4788,c_4787,c_4786,c_4785,c_4784,c_4768,c_4767,c_4766,c_4765,c_4764,c_4763,c_4762,c_4761,c_4760,c_4745,c_4744,c_4743,c_4742,c_4741,c_4740,c_4739,c_4738,c_4737,c_4736,c_4723,c_4720,c_4719,c_4718,c_4717,c_4716,c_4715,c_4714,c_4713,c_4712,c_4696,c_4695,c_4694,c_4693,c_4692,c_4691,c_4690,c_4689,c_4688,c_4673,c_4665,c_4656,c_4646,c_4645,c_4644,c_4621,c_4620,c_4619,c_4618,c_4617,c_4616,c_4615,c_4614,c_4613,c_4612,c_4605,c_4602,c_4599,c_4595,c_4591,c_4590,c_4589,c_4588,c_4587,c_4586,c_4585,c_4584,c_4498,c_4494,c_4490,c_4477,c_4466,c_4462,c_4446,c_4445,c_4444,c_4443,c_4442,c_4441,c_4440,c_4439,c_4438,c_4437,c_4436,c_4435,c_4434,c_4433,c_4432,c_4431,c_4430,c_4408,c_4407,c_4406,c_4405,c_4404,c_4403,c_4402,c_4401,c_4400,c_4399,c_4388,c_4382,c_4381,c_4380,c_4379,c_4378,c_4377,c_4376,c_4375,c_4374,c_4373,c_4358,c_4357,c_4356,c_4355,c_4354,c_4353,c_4352,c_4351,c_4350,c_4349,c_4334,c_4328,c_4327,c_4326,c_4325,c_4324,c_4323,c_4322,c_4321,c_4320,c_4319,c_4302,c_4291,c_4288,c_4287,c_4286,c_4285,c_4284,c_4283,c_4282,c_4281,c_4280,c_4279,c_4278,c_4277,c_4276,c_4275,c_4274,c_4273,c_4272,c_4216,c_4202,c_4200,c_4199,c_4198,c_4197,c_4196,c_4195,c_4194,c_4193,c_4192,c_4191,c_4190,c_4189,c_4188,c_4187,c_4186,c_4185,c_4184,c_4164,c_4159,c_4156,c_4155,c_4154,c_4153,c_4152,c_4151,c_4150,c_4149,c_4148,c_4147,c_4132,c_4131,c_4130,c_4129,c_4128,c_4127,c_4126,c_4125,c_4124,c_4123,c_4100,c_4090,c_4069,c_4059,c_4036,c_4023,c_4019,c_4018,c_4017,c_4016,c_4015,c_4014,c_4013,c_4012,c_4011,c_4010,c_4009,c_4008,c_4007,c_4006,c_4005,c_4004,c_4003,c_4002,c_4001,c_4000,c_3999,c_3980,c_3979,c_3978,c_3977,c_3976,c_3975,c_3974,c_3973,c_3972,c_3959,c_3958,c_3957,c_3956,c_3955,c_3954,c_3953,c_3952,c_3951,c_3940,c_3935,c_3930,c_3929,c_3928,c_3927,c_3926,c_3925,c_3924,c_3923,c_3922,c_3921,c_3908,c_3897,c_3896,c_3895,c_3894,c_3893,c_3892,c_3891,c_3890,c_3889,c_3888,c_3881,c_3870,c_3869,c_3868,c_3867,c_3866,c_3865,c_3864,c_3863,c_3862,c_3861,c_3851,c_3844,c_3843,c_3842,c_3841,c_3840,c_3839,c_3838,c_3837,c_3836,c_3835,c_3821,c_3815,c_3814,c_3813,c_3812,c_3811,c_3810,c_3809,c_3808,c_3807,c_3806,c_3787,c_3784,c_3783,c_3782,c_3781,c_3780,c_3779,c_3778,c_3777,c_3762,c_3757,c_3755,c_3754,c_3753,c_3752,c_3751,c_3750,c_3749,c_3748,c_3747,c_3746,c_3745,c_3735,c_3728,c_3727,c_3726,c_3725,c_3724,c_3723,c_3722,c_3721,c_3720,c_3719,c_3709,c_3703,c_3702,c_3701,c_3700,c_3699,c_3698,c_3697,c_3696,c_3695,c_3694,c_3645,c_3642,c_3641,c_3640,c_3639,c_3638,c_3637,c_3636,c_3635,c_3634,c_3633,c_3650,c_3607,c_3600,c_3597,c_3596,c_3595,c_3594,c_3593,c_3592,c_3591,c_3590,c_3589,c_3588,c_3587,c_3586,c_3585,c_3584,c_3583,c_3582,c_3581,c_3545,c_3536,c_3532,c_3531,c_3530,c_3529,c_3528,c_3527,c_3526,c_3525,c_3524,c_3523,c_3522,c_3521,c_3520,c_3519,c_3518,c_3517,c_3516,c_3515,c_3514,c_3513,c_3512,c_3491,c_3482,c_3480,c_3479,c_3478,c_3477,c_3476,c_3475,c_3474,c_3473,c_3472,c_3471,c_3470,c_3469,c_3468,c_3467,c_3466,c_3465,c_3464,c_3450,c_3448,c_3447,c_3446,c_3445,c_3444,c_3443,c_3442,c_3441,c_3440,c_3412,c_3409,c_3403,c_3392,c_3391,c_3390,c_3389,c_3388,c_3387,c_3386,c_3385,c_3384,c_3383,c_3382,c_3381,c_3380,c_3379,c_3378,c_3377,c_3376,c_3357,c_3354,c_3347,c_3342,c_3341,c_3340,c_3339,c_3338,c_3337,c_3336,c_3335,c_3334,c_3333,c_3332,c_3331,c_3330,c_3329,c_3328,c_3327,c_3326,c_3269,c_3265,c_3261,c_3248,c_3237,c_3233,c_3217,c_3216,c_3215,c_3214,c_3213,c_3212,c_3211,c_3210,c_3209,c_3208,c_3207,c_3206,c_3205,c_3204,c_3203,c_3202,c_3201,c_3171,c_3170,c_3169,c_3155,c_3152,c_3149,c_3145,c_3141,c_3140,c_3139,c_3138,c_3137,c_3136,c_3135,c_3134,c_3113,c_3112,c_3111,c_3068,c_3065,c_3062,c_3058,c_3054,c_3053,c_3052,c_3051,c_3050,c_3049,c_3048,c_3047,c_3038,c_3035,c_3032,c_3029,c_3026,c_3023,c_3022,c_3021,c_3020,c_3019,c_3018,c_3017,c_2963,c_2948,c_2945,c_2944,c_2943,c_2942,c_2941,c_2940,c_2939,c_2938,c_2937,c_2936,c_2935,c_2934,c_2933,c_2932,c_2931,c_2930,c_2929,c_2922,c_2907,c_2902,c_2899,c_2898,c_2897,c_2896,c_2895,c_2894,c_2893,c_2892,c_2891,c_2890,c_2879,c_2871,c_2870,c_2869,c_2868,c_2867,c_2866,c_2865,c_2864,c_2863,c_5106,c_2882,c_2772,c_2756,c_2754,c_2753,c_2752,c_2751,c_2750,c_2749,c_2748,c_2747,c_2746,c_2745,c_2744,c_2743,c_2742,c_2741,c_2740,c_2738,c_2731,c_2724,c_2719,c_2716,c_2715,c_2714,c_2713,c_2712,c_2711,c_2710,c_2709,c_2708,c_2707,c_2642,c_2641,c_2640,c_2639,c_2638,c_2637,c_2636,c_2635,c_2634,c_2528,c_2521,c_2518,c_2515,c_2512,c_2509,c_2506,c_2489,c_2487,c_2486,c_2485,c_2484,c_2481,c_2480,c_2479,c_2478,c_2477,c_2476,c_2475,c_2474,c_2473,c_2472,c_2471,c_2470,c_2469,c_2468,c_2467,c_2466,c_2465,c_2464,c_2463,c_2462,c_2461,c_2442,c_2441,c_2440,c_2439,c_2438,c_2435,c_3988,c_2392,c_2391,c_2390,c_2389,c_2388,c_2387,c_2386,c_3931,c_2374,c_2371,c_2366,c_2363,c_2360,c_2357,c_2355,c_2354,c_2353,c_2352,c_2351,c_2350,c_2349,c_2348,c_3899,c_2296,c_2293,c_2290,c_2284,c_2283,c_2282,c_2281,c_2280,c_2279,c_2278,c_2277,c_2276,c_3875,c_2258,c_2257,c_2256,c_2255,c_2254,c_2253,c_2252,c_2251,c_2238,c_2231,c_2230,c_2229,c_2228,c_2227,c_2226,c_2225,c_2224,c_2165,c_2164,c_2163,c_2162,c_2161,c_2160,c_2159,c_2158,c_2156,c_2153,c_2152,c_2151,c_2150,c_2149,c_2148,c_2147,c_2146,c_2145,c_2144,c_2143,c_2142,c_2106,c_2103,c_2100,c_2097,c_2094,c_2091,c_2090,c_2089,c_2088,c_2087,c_2086,c_2085,c_2060,c_2054,c_2051,c_2049,c_2048,c_2047,c_2046,c_2045,c_2044,c_2043,c_1994,c_1993,c_1992,c_1991,c_1990,c_1989,c_1934,c_1933,c_1932,c_1908,c_1905,c_1902,c_1899,c_1894,c_1893,c_1892,c_1891,c_1890,c_1889,c_1888,c_1887,c_1886,c_1874,c_1871,c_1870,c_1869,c_1868,c_1867,c_1866,c_1865,c_1864,c_1854,c_1849,c_1846,c_1845,c_1844,c_1843,c_1842,c_1841,c_1840,c_1839,c_1838,c_1816,c_1813,c_1812,c_1811,c_1810,c_1809,c_1808,c_1807,c_1806,c_1796,c_1791,c_1788,c_1787,c_1786,c_1785,c_1784,c_1783,c_1782,c_1781,c_1780,c_1767,c_1765,c_1764,c_1763,c_1762,c_1761,c_1760,c_1759,c_1758,c_1749,c_1743,c_1740,c_1739,c_1738,c_1737,c_1736,c_1735,c_1734,c_1733,c_1732,c_1720,c_1717,c_1716,c_1715,c_1714,c_1713,c_1712,c_1711,c_1710,c_1679,c_1676,c_1675,c_1674,c_1673,c_1672,c_1671,c_1670,c_1669,c_1656,c_1654,c_1653,c_1652,c_1651,c_1650,c_1649,c_1648,c_1647,c_1623,c_1618,c_1615,c_1614,c_1613,c_1612,c_1611,c_1610,c_1609,c_1608,c_1607,c_1597,c_1592,c_1589,c_1588,c_1587,c_1586,c_1585,c_1584,c_1583,c_1582,c_1581,c_1572,c_1566,c_1563,c_1562,c_1561,c_1560,c_1559,c_1558,c_1557,c_1556,c_1555,c_1936,c_1937,c_1935,c_1540,c_1529,c_1528,c_1527,c_1526,c_1520,c_1519,c_1518,c_1517,c_1516,c_1515,c_1480,c_1479,c_1478,c_1477,c_1476,c_1475,c_1474,c_1473,c_1472,c_1462,c_2063,c_2066,c_2057,c_1392,c_1389,c_1384,c_1381,c_1377,c_1370,c_1369,c_1368,c_1367,c_1366,c_1365,c_1361,c_1360,c_1359,c_1358,c_1357,c_1356,c_1340,c_1337,c_1334,c_1331,c_1325,c_1321,c_1314,c_1311,c_1310,c_1309,c_1308,c_1307,c_1306,c_1305,c_1304,c_1303,c_1302,c_1301,c_1300,c_1299,c_1298,c_1297,c_1250,c_1247,c_1242,c_1239,c_1235,c_1232,c_1225,c_1221,c_1219,c_1218,c_1217,c_1216,c_1215,c_1214,c_1213,c_1209,c_1208,c_1207,c_1206,c_1205,c_1204,c_1203,c_1202,c_1201,c_1147,c_1130,c_1126,c_1124,c_1123,c_1122,c_1121,c_1120,c_1119,c_1118,c_1114,c_1113,c_1112,c_1111,c_1110,c_1109,c_1108,c_1107,c_1106,c_5764,c_1034,c_1031,c_1028,c_1025,c_1022,c_1012,c_1010,c_1009,c_1008,c_1007,c_1004,c_1003,c_1002,c_1001,c_1000,c_999,c_998,c_997,c_5735,c_4705,c_2241,c_958,c_955,c_952,c_946,c_943,c_935,c_932,c_930,c_929,c_928,c_927,c_926,c_925,c_924,c_923,c_922,c_921,c_920,c_919,c_918,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_813,c_812,c_811,c_810,c_809,c_808,c_807,c_786,c_785,c_784,c_782,c_766,c_763,c_760,c_759,c_758,c_756,c_738,c_735,c_732,c_729,c_721,c_720,c_719,c_718,c_715,c_714,c_713,c_712,c_711,c_666,c_663,c_660,c_657,c_649,c_648,c_647,c_646,c_643,c_642,c_641,c_640,c_639,c_623,c_620,c_615,c_614,c_612,c_611,c_610,c_609,c_606,c_605,c_604,c_603,c_602,c_591,c_588,c_585,c_584,c_583,c_581,c_548,c_545,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_523,c_518,c_517,c_516,c_515,c_502,c_501,c_500,c_482,c_477,c_476,c_475,c_463,c_460,c_447,c_444,c_442,c_441,c_440,c_421,c_418,c_417,c_416,c_415,c_414,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_381,c_378,c_377,c_376,c_375,c_366,c_348,c_343,c_342,c_341,c_334,c_329,c_328,c_327,c_322,c_308,c_295,c_294,c_293,c_292,c_291,c_264,c_263,c_262,c_261,c_260,c_248,c_239,c_238,c_237,c_236,c_235,c_231,c_367,c_229,c_228,c_227,c_226,c_224,c_223,c_221,c_220,c_323,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_148,c_73,c_72,c_71,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 06:51:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 6.27/1.76 % SZS status Started for theBenchmark.p
% 6.27/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 6.27/1.76
% 6.27/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.27/1.76
% 6.27/1.76 % ------ iProver source info
% 6.27/1.76
% 6.27/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 6.27/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.27/1.76 % git: non_committed_changes: false
% 6.27/1.76
% 6.27/1.76 % ------ Parsing...% successful
% 6.27/1.76
% 6.27/1.76
% 6.27/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.27/1.76
% 6.27/1.76 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.27/1.76
% 6.27/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.27/1.76
% 6.27/1.76 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.27/1.76 % ------ Proving...
% 6.27/1.76 % ------ Problem Properties
% 6.27/1.76
% 6.27/1.76 %
% 6.27/1.76 % clauses 13
% 6.27/1.76 % conjectures 1
% 6.27/1.76 % EPR 1
% 6.27/1.76 % Horn 13
% 6.27/1.76 % unary 9
% 6.27/1.76 % binary 2
% 6.27/1.76 % lits 20
% 6.27/1.76 % lits eq 20
% 6.27/1.76 % fd_pure 0
% 6.27/1.76 % fd_pseudo 0
% 6.27/1.76 % fd_cond 0
% 6.27/1.76 % fd_pseudo_cond 1
% 6.27/1.76 % AC symbols 0
% 6.27/1.76
% 6.27/1.76 % ------ Schedule dynamic 5 is on
% 6.27/1.76
% 6.27/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.27/1.76
% 6.27/1.76
% 6.27/1.76 % ------
% 6.27/1.76 % Current options:
% 6.27/1.76 % ------
% 6.27/1.76
% 6.27/1.76
% 6.27/1.76 %
% 6.27/1.76
% 6.27/1.76 % ------ Proving...
% 6.27/1.76 %
% 6.27/1.76
% 6.27/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 6.27/1.76
% 6.27/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.27/1.79
% 6.27/1.79
%------------------------------------------------------------------------------