%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : CAT002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:01:20 PM UTC 2026
% Result : Satisfiable 6.77s 9.21s
% Output : Saturation 6.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : codomain(domain(X0)) = domain(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/CAT002-0.ax',domain_composition) ).
fof(f6,axiom,
! [X0] : compose(X0,codomain(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/CAT002-0.ax',star_property) ).
fof(f11,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f12,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,a) != X1
| codomain(X2) != domain(b)
| compose(X0,a) != X1
| codomain(X0) != domain(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism1) ).
fof(f13,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,a) != X1
| domain(b) != codomain(X2)
| compose(X0,a) != X1
| codomain(X0) != domain(a) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,b) != X1
| codomain(X2) != domain(b)
| compose(X0,b) != X1
| codomain(X0) != domain(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism2) ).
fof(f15,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,b) != X1
| domain(b) != codomain(X2)
| compose(X0,b) != X1
| codomain(X0) != domain(a) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
codomain(h) = domain(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_h_equals_domain_of_ab) ).
fof(f17,axiom,
codomain(g) = domain(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_g_equals_domain_of_ab) ).
fof(f18,plain,
domain(compose(a,b)) = codomain(g),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).
fof(f20,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f21,plain,
! [X2,X0] :
( X0 = X2
| compose(X0,a) != compose(X2,a)
| domain(b) != codomain(X2)
| codomain(X0) != domain(a) ),
inference(equality_resolution,[],[f13]) ).
fof(f22,plain,
! [X2,X0] :
( X0 = X2
| compose(X0,b) != compose(X2,b)
| domain(b) != codomain(X2)
| codomain(X0) != domain(a) ),
inference(equality_resolution,[],[f15]) ).
tcf(c_63,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i] : compose(domain(X0),X0) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i] : compose(X0,codomain(X0)) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,X1)) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,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_70,plain,
codomain(a) = domain(b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(X1) != domain(b) )
| ( codomain(X0) != domain(a) )
| ( compose(X0,a) != compose(X1,a) ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(X1) != domain(b) )
| ( codomain(X0) != domain(a) )
| ( compose(X0,b) != compose(X1,b) ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_73,plain,
domain(compose(a,b)) = codomain(h),
inference(cnf_transformation,[],[f16]) ).
tcf(c_74,plain,
domain(compose(a,b)) = codomain(g),
inference(cnf_transformation,[],[f18]) ).
tcf(c_75,plain,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_76,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_95,plain,
! [X0: $i] : codomain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_97,plain,
compose(codomain(a),b) = b,
inference(superposition,[status(thm)],[c_70,c_65]) ).
tcf(c_98,plain,
! [X0: $i] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_100,plain,
! [X0: $i] : compose(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_108,plain,
compose(codomain(h),compose(a,b)) = compose(a,b),
inference(superposition,[status(thm)],[c_73,c_65]) ).
tcf(c_110,plain,
codomain(h) = codomain(g),
inference(light_normalisation,[status(thm)],[c_74,c_73]) ).
tcf(c_112,plain,
compose(g,codomain(h)) = g,
inference(superposition,[status(thm)],[c_110,c_66]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_67]) ).
tcf(c_118,plain,
! [X0: $i] :
( ( domain(compose(X0,b)) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_119,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(a,b))) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_67]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,codomain(X1))) = domain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_67]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,domain(X1))) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_67]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_117,c_64]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_116,c_94]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),X1)) = codomain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_68]) ).
tcf(c_162,plain,
! [X0: $i] :
( ( codomain(compose(X0,b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_163,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_68]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_68]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_68]) ).
tcf(c_191,plain,
( ( domain(compose(g,b)) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_118]) ).
tcf(c_192,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_118]) ).
tcf(c_193,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_118]) ).
tcf(c_194,plain,
domain(compose(a,b)) = domain(a),
inference(equality_resolution,[status(thm)],[c_118]) ).
tcf(c_195,plain,
codomain(h) = domain(a),
inference(light_normalisation,[status(thm)],[c_194,c_73]) ).
tcf(c_198,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_193,c_64]) ).
tcf(c_201,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_192,c_94]) ).
tcf(c_211,plain,
compose(codomain(h),a) = a,
inference(superposition,[status(thm)],[c_195,c_65]) ).
tcf(c_213,plain,
! [X0: $i] :
( ( codomain(compose(X0,a)) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_68]) ).
tcf(c_214,plain,
! [X0: $i] :
( ( domain(compose(X0,a)) = domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_67]) ).
tcf(c_228,plain,
( ( codomain(compose(g,b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_162]) ).
tcf(c_229,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),b)) = codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_162]) ).
tcf(c_230,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_162]) ).
tcf(c_231,plain,
codomain(compose(a,b)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_162]) ).
tcf(c_243,plain,
( ( codomain(compose(compose(a,b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_162]) ).
tcf(c_244,plain,
( ( domain(compose(compose(a,b),b)) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_118]) ).
tcf(c_245,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_68]) ).
tcf(c_247,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = domain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_67]) ).
tcf(c_249,plain,
compose(compose(a,b),codomain(b)) = compose(a,b),
inference(superposition,[status(thm)],[c_231,c_66]) ).
tcf(c_255,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_247,c_73]) ).
tcf(c_258,plain,
( ( domain(compose(compose(a,b),b)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_244,c_73]) ).
tcf(c_278,plain,
domain(compose(g,compose(a,b))) = domain(g),
inference(superposition,[status(thm)],[c_110,c_119]) ).
tcf(c_279,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,b))) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_119]) ).
tcf(c_280,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,b))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_119]) ).
tcf(c_281,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = domain(compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_119]) ).
tcf(c_282,plain,
domain(compose(h,compose(a,b))) = domain(h),
inference(equality_resolution,[status(thm)],[c_119]) ).
tcf(c_283,plain,
domain(compose(h,compose(a,b))) = domain(g),
inference(light_normalisation,[status(thm)],[c_278,c_75]) ).
tcf(c_284,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,b))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_280,c_64]) ).
tcf(c_287,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,b))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_279,c_94]) ).
tcf(c_290,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_281,c_73]) ).
tcf(c_314,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_63,c_69]) ).
tcf(c_315,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_95,c_69]) ).
tcf(c_316,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_231,c_69]) ).
tcf(c_317,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_69]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,a),X1) = compose(X0,compose(a,X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_69]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,b)),X0) = compose(X1,compose(compose(a,b),X0)) )
| ( codomain(X1) != codomain(h) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_73,c_69]) ).
tcf(c_320,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_64,c_69]) ).
tcf(c_321,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_94,c_69]) ).
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_321,c_63]) ).
tcf(c_338,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_320,c_95]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(a,b)),X1) = compose(X0,compose(compose(a,b),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_319,c_231]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) )
| ( compose(X0,a) != compose(X1,a) ) ),
inference(light_normalisation,[status(thm)],[c_71,c_70,c_195]) ).
tcf(c_395,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(h)) != codomain(h) )
| ( compose(X0,a) != a ) ),
inference(superposition,[status(thm)],[c_211,c_381]) ).
tcf(c_397,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ( codomain(X0) != codomain(h) )
| ( codomain(codomain(h)) != codomain(a) )
| ( compose(X0,a) != a ) ),
inference(superposition,[status(thm)],[c_211,c_381]) ).
tcf(c_404,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ( codomain(X0) != codomain(a) )
| ( compose(X0,a) != a ) ),
inference(ground_joinability,[status(thm)],[c_395,c_95]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) )
| ( compose(X0,b) != compose(X1,b) ) ),
inference(light_normalisation,[status(thm)],[c_72,c_70,c_195]) ).
tcf(c_429,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(a)) != codomain(h) )
| ( compose(X0,b) != b ) ),
inference(superposition,[status(thm)],[c_97,c_415]) ).
tcf(c_431,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( codomain(codomain(a)) != codomain(a) )
| ( compose(X0,b) != b ) ),
inference(superposition,[status(thm)],[c_97,c_415]) ).
tcf(c_433,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( compose(X0,b) != b ) ),
inference(ground_joinability,[status(thm)],[c_431,c_95]) ).
tcf(c_446,plain,
domain(h) = domain(g),
inference(light_normalisation,[status(thm)],[c_283,c_282]) ).
tcf(c_449,plain,
compose(domain(h),g) = g,
inference(superposition,[status(thm)],[c_446,c_65]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_69]) ).
tcf(c_452,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_68]) ).
tcf(c_453,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_67]) ).
tcf(c_456,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_452,c_110]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_451,c_110]) ).
tcf(c_476,plain,
compose(domain(h),compose(h,compose(a,b))) = compose(h,compose(a,b)),
inference(superposition,[status(thm)],[c_282,c_65]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(h,compose(a,b))),X0) = compose(X1,compose(compose(h,compose(a,b)),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_282,c_69]) ).
tcf(c_479,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_68]) ).
tcf(c_480,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(h,compose(a,b)))) = domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_67]) ).
tcf(c_491,plain,
( ( domain(compose(g,b)) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_191,c_446]) ).
tcf(c_502,plain,
codomain(compose(g,a)) = codomain(a),
inference(superposition,[status(thm)],[c_110,c_213]) ).
tcf(c_503,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),a)) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_213]) ).
tcf(c_504,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),a)) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_213]) ).
tcf(c_505,plain,
( ( codomain(compose(compose(a,b),a)) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_213]) ).
tcf(c_506,plain,
codomain(compose(h,a)) = codomain(a),
inference(equality_resolution,[status(thm)],[c_213]) ).
tcf(c_530,plain,
( ( codomain(compose(compose(g,a),a)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_213]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),X0),X1) = compose(compose(g,a),compose(X0,X1)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_502,c_69]) ).
tcf(c_535,plain,
! [X0: $i] :
( ( codomain(compose(compose(g,a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_68]) ).
tcf(c_537,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),X0)) = domain(compose(g,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_67]) ).
tcf(c_539,plain,
compose(compose(g,a),codomain(a)) = compose(g,a),
inference(superposition,[status(thm)],[c_502,c_66]) ).
tcf(c_598,plain,
( ( codomain(compose(compose(h,a),a)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_213]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),X0),X1) = compose(compose(h,a),compose(X0,X1)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_506,c_69]) ).
tcf(c_603,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_68]) ).
tcf(c_605,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),X0)) = domain(compose(h,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_67]) ).
tcf(c_607,plain,
compose(compose(h,a),codomain(a)) = compose(h,a),
inference(superposition,[status(thm)],[c_506,c_66]) ).
tcf(c_814,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_163,c_231]) ).
tcf(c_822,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,b))) = codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_814]) ).
tcf(c_823,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,b))) = codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_814]) ).
tcf(c_824,plain,
( ( codomain(compose(compose(a,b),compose(a,b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_814]) ).
tcf(c_825,plain,
( ( codomain(compose(compose(g,a),compose(a,b))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_814]) ).
tcf(c_826,plain,
( ( codomain(compose(compose(h,a),compose(a,b))) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_814]) ).
tcf(c_829,plain,
codomain(compose(h,compose(a,b))) = codomain(b),
inference(equality_resolution,[status(thm)],[c_814]) ).
tcf(c_859,plain,
domain(compose(g,a)) = domain(g),
inference(superposition,[status(thm)],[c_110,c_214]) ).
tcf(c_860,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),a)) = domain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_214]) ).
tcf(c_861,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),a)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_214]) ).
tcf(c_862,plain,
( ( domain(compose(compose(a,b),a)) = domain(compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_214]) ).
tcf(c_867,plain,
domain(compose(h,a)) = domain(h),
inference(equality_resolution,[status(thm)],[c_214]) ).
tcf(c_868,plain,
domain(compose(g,a)) = domain(h),
inference(light_normalisation,[status(thm)],[c_859,c_446]) ).
tcf(c_869,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),a)) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_861,c_64]) ).
tcf(c_872,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),a)) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_860,c_94]) ).
tcf(c_879,plain,
( ( domain(compose(compose(a,b),a)) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_862,c_73]) ).
tcf(c_950,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(domain(X0)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_453]) ).
tcf(c_951,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = domain(codomain(X0)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_453]) ).
tcf(c_952,plain,
( ( domain(compose(compose(a,b),g)) = domain(compose(a,b)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_453]) ).
tcf(c_953,plain,
( ( domain(compose(compose(g,a),g)) = domain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_453]) ).
tcf(c_954,plain,
( ( domain(compose(compose(h,a),g)) = domain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_453]) ).
tcf(c_957,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = codomain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_951,c_64]) ).
tcf(c_960,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_950,c_94]) ).
tcf(c_963,plain,
( ( domain(compose(compose(h,a),g)) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_954,c_867]) ).
tcf(c_966,plain,
( ( domain(compose(compose(g,a),g)) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_953,c_868]) ).
tcf(c_969,plain,
( ( domain(compose(compose(a,b),g)) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_952,c_73]) ).
tcf(c_984,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),g)) = codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_456]) ).
tcf(c_985,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),g)) = codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_456]) ).
tcf(c_986,plain,
( ( codomain(compose(compose(a,b),g)) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_456]) ).
tcf(c_987,plain,
( ( codomain(compose(compose(g,a),g)) = codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_456]) ).
tcf(c_988,plain,
( ( codomain(compose(compose(h,a),g)) = codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_456]) ).
tcf(c_1021,plain,
compose(domain(h),compose(h,a)) = compose(h,a),
inference(superposition,[status(thm)],[c_867,c_65]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(h,a)),X0) = compose(X1,compose(compose(h,a),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_867,c_69]) ).
tcf(c_1024,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(h,a))) = codomain(compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_68]) ).
tcf(c_1025,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(h,a))) = domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_67]) ).
tcf(c_1028,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(h,a))) = codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1024,c_506]) ).
tcf(c_1031,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(h,a)),X1) = compose(X0,compose(compose(h,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1023,c_506]) ).
tcf(c_1050,plain,
compose(domain(h),compose(g,a)) = compose(g,a),
inference(superposition,[status(thm)],[c_868,c_65]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(g,a)),X0) = compose(X1,compose(compose(g,a),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(g,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_868,c_69]) ).
tcf(c_1053,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(g,a))) = codomain(compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_68]) ).
tcf(c_1054,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(g,a))) = domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_67]) ).
tcf(c_1057,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(g,a))) = codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1053,c_502]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(g,a)),X1) = compose(X0,compose(compose(g,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1052,c_502]) ).
tcf(c_1093,plain,
( ( codomain(compose(compose(h,compose(a,b)),g)) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_456]) ).
tcf(c_1094,plain,
( ( domain(compose(compose(h,compose(a,b)),g)) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_453]) ).
tcf(c_1095,plain,
( ( domain(compose(compose(h,compose(a,b)),a)) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_214]) ).
tcf(c_1096,plain,
( ( codomain(compose(compose(h,compose(a,b)),compose(a,b))) = codomain(b) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_814]) ).
tcf(c_1097,plain,
( ( codomain(compose(compose(h,compose(a,b)),a)) = codomain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_213]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),X1) = compose(compose(h,compose(a,b)),compose(X0,X1)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_829,c_69]) ).
tcf(c_1099,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(a,b))) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_119]) ).
tcf(c_1100,plain,
( ( codomain(compose(compose(h,compose(a,b)),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_162]) ).
tcf(c_1101,plain,
( ( domain(compose(compose(h,compose(a,b)),b)) = domain(compose(h,compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_118]) ).
tcf(c_1102,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,compose(a,b)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_68]) ).
tcf(c_1104,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),X0)) = domain(compose(h,compose(a,b))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_67]) ).
tcf(c_1106,plain,
compose(compose(h,compose(a,b)),codomain(b)) = compose(h,compose(a,b)),
inference(superposition,[status(thm)],[c_829,c_66]) ).
tcf(c_1118,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),X0)) = domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1104,c_282]) ).
tcf(c_1121,plain,
( ( domain(compose(compose(h,compose(a,b)),b)) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1101,c_282]) ).
tcf(c_1124,plain,
( ( domain(compose(compose(h,compose(a,b)),a)) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1095,c_282]) ).
tcf(c_1127,plain,
( ( domain(compose(compose(h,compose(a,b)),g)) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1094,c_282]) ).
tcf(c_1130,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(a,b))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1099,c_282]) ).
tcf(c_1226,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(X0))) = codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_255]) ).
tcf(c_1227,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(X0))) = codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_255]) ).
tcf(c_1229,plain,
( ( domain(compose(compose(a,b),compose(h,compose(a,b)))) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_255]) ).
tcf(c_1230,plain,
( ( domain(compose(compose(a,b),compose(g,a))) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_255]) ).
tcf(c_1232,plain,
( ( domain(compose(compose(a,b),compose(h,a))) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_255]) ).
tcf(c_1266,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_120]) ).
tcf(c_1268,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(X1))) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_120]) ).
tcf(c_1270,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),codomain(X0))) = domain(compose(h,compose(a,b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_120]) ).
tcf(c_1271,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),codomain(X0))) = domain(compose(g,a)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_120]) ).
tcf(c_1272,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),codomain(X0))) = domain(compose(h,a)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_120]) ).
tcf(c_1289,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1266,c_446]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(X1))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1268,c_64]) ).
tcf(c_1311,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),codomain(X0))) = domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1272,c_867]) ).
tcf(c_1314,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),codomain(X0))) = domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1271,c_868]) ).
tcf(c_1324,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),codomain(X0))) = domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1270,c_282]) ).
tcf(c_1362,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(X1))) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_121]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(X1))) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_121]) ).
tcf(c_1365,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),domain(X0))) = domain(compose(h,compose(a,b))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_121]) ).
tcf(c_1366,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),domain(X0))) = domain(compose(g,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_121]) ).
tcf(c_1367,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),domain(X0))) = domain(compose(h,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_121]) ).
tcf(c_1393,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(X1))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1363,c_64]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(X1))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1362,c_94]) ).
tcf(c_1402,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),domain(X0))) = domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1367,c_867]) ).
tcf(c_1405,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),domain(X0))) = domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1366,c_868]) ).
tcf(c_1415,plain,
! [X0: $i] :
( ( domain(compose(compose(h,compose(a,b)),domain(X0))) = domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1365,c_282]) ).
tcf(c_1465,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,b)),X0)) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_130]) ).
tcf(c_1468,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(h,a)),X0)) = codomain(compose(h,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_130]) ).
tcf(c_1477,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(h,compose(a,b)))) = codomain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_130]) ).
tcf(c_1478,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(g,a))) = codomain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_130]) ).
tcf(c_1480,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(h,a))) = codomain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_130]) ).
tcf(c_1494,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),X0)) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1468,c_506]) ).
tcf(c_1498,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),X0)) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1465,c_231]) ).
tcf(c_1548,plain,
! [X0: $i] :
( ( domain(compose(domain(a),X0)) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_133]) ).
tcf(c_1552,plain,
! [X0: $i] :
( ( domain(compose(domain(g),X0)) = domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_133]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(X0))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_133]) ).
tcf(c_1564,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(h,compose(a,b)))) = domain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_133]) ).
tcf(c_1565,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(g,a))) = domain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_133]) ).
tcf(c_1567,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(h,a))) = domain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_133]) ).
tcf(c_1571,plain,
! [X0: $i] :
( ( domain(compose(domain(h),X0)) = domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1552,c_446]) ).
tcf(c_1574,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),X0)) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1548,c_195]) ).
tcf(c_1651,plain,
! [X0: $i] :
( ( codomain(compose(domain(b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_160]) ).
tcf(c_1652,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_160]) ).
tcf(c_1656,plain,
! [X0: $i] :
( ( codomain(compose(domain(g),X0)) = codomain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_160]) ).
tcf(c_1665,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_160]) ).
tcf(c_1668,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_160]) ).
tcf(c_1669,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(g,a))) = codomain(compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_160]) ).
tcf(c_1671,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(h,a))) = codomain(compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_160]) ).
tcf(c_1676,plain,
! [X0: $i] :
( ( codomain(compose(domain(h),X0)) = codomain(X0) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1656,c_446]) ).
tcf(c_1679,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1652,c_195]) ).
tcf(c_1682,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1651,c_70]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_1665,c_95]) ).
tcf(c_1695,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(h,a))) = codomain(a) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1671,c_506]) ).
tcf(c_1698,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(g,a))) = codomain(a) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1669,c_502]) ).
tcf(c_1711,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(h,compose(a,b)))) = codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1668,c_829]) ).
tcf(c_1753,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,b)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_161]) ).
tcf(c_1765,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_161]) ).
tcf(c_1766,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(g,a))) = codomain(compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_161]) ).
tcf(c_1768,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(h,a))) = codomain(compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_161]) ).
tcf(c_1779,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1753,c_231]) ).
tcf(c_1782,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(h,a))) = codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1768,c_506]) ).
tcf(c_1785,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(g,a))) = codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1766,c_502]) ).
tcf(c_1798,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1765,c_829]) ).
tcf(c_1836,plain,
( ( domain(compose(codomain(g),b)) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_198]) ).
tcf(c_1839,plain,
( ( domain(compose(codomain(compose(a,b)),b)) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_198]) ).
tcf(c_1849,plain,
( ( domain(compose(codomain(h),b)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1836,c_110]) ).
tcf(c_1854,plain,
( ( domain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1839,c_231]) ).
tcf(c_1869,plain,
( ( domain(compose(domain(g),b)) = domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_201]) ).
tcf(c_1876,plain,
( ( domain(compose(domain(h),b)) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1869,c_446]) ).
tcf(c_1919,plain,
( ( codomain(compose(domain(a),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_229]) ).
tcf(c_1923,plain,
( ( codomain(compose(domain(g),b)) = codomain(b) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_229]) ).
tcf(c_1930,plain,
( ( codomain(compose(domain(h),b)) = codomain(b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1923,c_446]) ).
tcf(c_1933,plain,
( ( codomain(compose(codomain(h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1919,c_195]) ).
tcf(c_1951,plain,
( ( codomain(compose(codomain(compose(a,b)),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_230]) ).
tcf(c_1964,plain,
( ( codomain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1951,c_231]) ).
tcf(c_1979,plain,
( ( codomain(compose(domain(g),a)) = codomain(a) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_503]) ).
tcf(c_1987,plain,
( ( codomain(compose(domain(h),a)) = codomain(a) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1979,c_446]) ).
tcf(c_2063,plain,
( ( domain(compose(domain(g),a)) = domain(g) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_872]) ).
tcf(c_2071,plain,
( ( domain(compose(domain(h),a)) = domain(h) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2063,c_446]) ).
tcf(c_2199,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_1682]) ).
tcf(c_2209,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2199,c_63]) ).
tcf(c_2314,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(domain(X0)))) = domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1289]) ).
tcf(c_2326,plain,
! [X0: $i] :
( ( domain(compose(g,domain(X0))) = domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2314,c_63]) ).
tcf(c_2365,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),domain(X0))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_1494]) ).
tcf(c_2397,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),domain(X0))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_1498]) ).
tcf(c_2458,plain,
( ( domain(compose(domain(h),compose(a,b))) = domain(h) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_1571]) ).
tcf(c_2489,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),domain(X0))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1574]) ).
tcf(c_2531,plain,
( ( codomain(compose(domain(h),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_1676]) ).
tcf(c_2553,plain,
( ( codomain(compose(domain(h),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2531,c_231]) ).
tcf(c_2600,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1679]) ).
tcf(c_2609,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2600,c_63]) ).
tcf(c_2662,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_1779]) ).
tcf(c_2670,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2662,c_63]) ).
tcf(c_2769,plain,
( ( domain(compose(g,domain(g))) = domain(h) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2326]) ).
tcf(c_2777,plain,
( ( domain(compose(g,domain(h))) = domain(h) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2769,c_446]) ).
tcf(c_2788,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_164,c_95]) ).
tcf(c_2795,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_2788]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_2788]) ).
tcf(c_2798,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_2788]) ).
tcf(c_2799,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,compose(a,b)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_2788]) ).
tcf(c_2800,plain,
! [X0: $i] :
( ( codomain(compose(compose(g,a),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_2788]) ).
tcf(c_2801,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,a),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_2788]) ).
tcf(c_2904,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_2795]) ).
tcf(c_2916,plain,
! [X0: $i] :
( ( codomain(compose(g,domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2904,c_63]) ).
tcf(c_2949,plain,
( ( codomain(compose(g,domain(g))) = domain(g) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2916]) ).
tcf(c_2957,plain,
( ( codomain(compose(g,domain(h))) = domain(h) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2949,c_446]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(demodulation,[status(thm)],[c_165,c_63]) ).
tcf(c_2979,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),domain(X1))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_2972]) ).
tcf(c_2980,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_2972]) ).
tcf(c_2981,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_2972]) ).
tcf(c_2982,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,compose(a,b)),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_2972]) ).
tcf(c_2983,plain,
! [X0: $i] :
( ( codomain(compose(compose(g,a),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_2972]) ).
tcf(c_2984,plain,
! [X0: $i] :
( ( codomain(compose(compose(h,a),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_2972]) ).
tcf(c_3050,plain,
( ( codomain(compose(compose(a,b),compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_245]) ).
tcf(c_3051,plain,
( ( codomain(compose(compose(a,b),compose(g,a))) = codomain(compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_245]) ).
tcf(c_3053,plain,
( ( codomain(compose(compose(a,b),compose(h,a))) = codomain(compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_245]) ).
tcf(c_3058,plain,
( ( codomain(compose(compose(a,b),compose(h,a))) = codomain(a) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3053,c_506]) ).
tcf(c_3061,plain,
( ( codomain(compose(compose(a,b),compose(g,a))) = codomain(a) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3051,c_502]) ).
tcf(c_3071,plain,
( ( codomain(compose(compose(a,b),compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3050,c_829]) ).
tcf(c_3084,plain,
( ( codomain(compose(compose(g,a),compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_535]) ).
tcf(c_3085,plain,
( ( codomain(compose(compose(g,a),compose(g,a))) = codomain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_535]) ).
tcf(c_3087,plain,
( ( codomain(compose(compose(g,a),compose(h,a))) = codomain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_535]) ).
tcf(c_3092,plain,
( ( codomain(compose(compose(g,a),compose(h,a))) = codomain(a) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3087,c_506]) ).
tcf(c_3095,plain,
( ( codomain(compose(compose(g,a),compose(g,a))) = codomain(a) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3085,c_502]) ).
tcf(c_3105,plain,
( ( codomain(compose(compose(g,a),compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3084,c_829]) ).
tcf(c_3133,plain,
( ( codomain(compose(compose(h,a),compose(h,compose(a,b)))) = codomain(compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_603]) ).
tcf(c_3134,plain,
( ( codomain(compose(compose(h,a),compose(g,a))) = codomain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_603]) ).
tcf(c_3136,plain,
( ( codomain(compose(compose(h,a),compose(h,a))) = codomain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_603]) ).
tcf(c_3141,plain,
( ( codomain(compose(compose(h,a),compose(h,a))) = codomain(a) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3136,c_506]) ).
tcf(c_3144,plain,
( ( codomain(compose(compose(h,a),compose(g,a))) = codomain(a) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3134,c_502]) ).
tcf(c_3154,plain,
( ( codomain(compose(compose(h,a),compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3133,c_829]) ).
tcf(c_3211,plain,
! [X0: $i] :
( ( compose(compose(g,a),X0) = compose(g,compose(a,X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_110,c_318]) ).
tcf(c_3212,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),a),X1) = compose(domain(X0),compose(a,X1)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_318]) ).
tcf(c_3213,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),a),X1) = compose(codomain(X0),compose(a,X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_318]) ).
tcf(c_3214,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),a),X0) = compose(compose(a,b),compose(a,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_318]) ).
tcf(c_3215,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),a),X0) = compose(compose(h,compose(a,b)),compose(a,X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_318]) ).
tcf(c_3216,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),a),X0) = compose(compose(g,a),compose(a,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_318]) ).
tcf(c_3217,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),a),X0) = compose(compose(h,a),compose(a,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_318]) ).
tcf(c_3220,plain,
! [X0: $i] :
( ( compose(compose(h,a),X0) = compose(h,compose(a,X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_318]) ).
tcf(c_3309,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(h,a))) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_1025]) ).
tcf(c_3310,plain,
( ( domain(compose(compose(g,a),compose(h,a))) = domain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1025]) ).
tcf(c_3311,plain,
( ( domain(compose(compose(h,a),compose(h,a))) = domain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_1025]) ).
tcf(c_3316,plain,
( ( domain(compose(compose(h,a),compose(h,a))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3311,c_867]) ).
tcf(c_3319,plain,
( ( domain(compose(compose(g,a),compose(h,a))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3310,c_868]) ).
tcf(c_3329,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(h,a))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3309,c_282]) ).
tcf(c_3370,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(g,a))) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_1054]) ).
tcf(c_3371,plain,
( ( domain(compose(compose(g,a),compose(g,a))) = domain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_1054]) ).
tcf(c_3372,plain,
( ( domain(compose(compose(h,a),compose(g,a))) = domain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_1054]) ).
tcf(c_3377,plain,
( ( domain(compose(compose(h,a),compose(g,a))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3372,c_867]) ).
tcf(c_3380,plain,
( ( domain(compose(compose(g,a),compose(g,a))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3371,c_868]) ).
tcf(c_3390,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(g,a))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3370,c_282]) ).
tcf(c_3408,plain,
( ( codomain(compose(compose(h,compose(a,b)),compose(g,a))) = codomain(a) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_1057]) ).
tcf(c_3471,plain,
( ( codomain(compose(compose(h,compose(a,b)),compose(h,a))) = codomain(a) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_1028]) ).
tcf(c_3605,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(b))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1396]) ).
tcf(c_3606,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(a))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_1396]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(h))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3606,c_195]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(a))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3605,c_70]) ).
tcf(c_3655,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(domain(X0)))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1561]) ).
tcf(c_3657,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(a,b)))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_1561]) ).
tcf(c_3666,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(codomain(X1)),codomain(X0))) = domain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_1561]) ).
tcf(c_3678,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),domain(X0))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3655,c_63]) ).
tcf(c_3687,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(b))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3657,c_231]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_1689]) ).
tcf(c_3717,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_1689]) ).
tcf(c_3720,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(h,a)))) = codomain(compose(h,a)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_1689]) ).
tcf(c_3726,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(codomain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_1689]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3715,c_63]) ).
tcf(c_3751,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(a))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3720,c_506]) ).
tcf(c_3755,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(b))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3717,c_231]) ).
tcf(c_3798,plain,
! [X0: $i] :
( ( compose(compose(g,compose(a,b)),X0) = compose(g,compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_110,c_345]) ).
tcf(c_3799,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(a,b)),X1) = compose(domain(X0),compose(compose(a,b),X1)) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_345]) ).
tcf(c_3800,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),X1) = compose(codomain(X0),compose(compose(a,b),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_345]) ).
tcf(c_3801,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),X0) = compose(compose(a,b),compose(compose(a,b),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_345]) ).
tcf(c_3802,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),X0) = compose(compose(h,compose(a,b)),compose(compose(a,b),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_345]) ).
tcf(c_3803,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(a,b)),X0) = compose(compose(g,a),compose(compose(a,b),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_345]) ).
tcf(c_3804,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(a,b)),X0) = compose(compose(h,a),compose(compose(a,b),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_345]) ).
tcf(c_3807,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),X0) = compose(h,compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_345]) ).
tcf(c_3810,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),X0) = compose(g,compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_3798,c_75]) ).
tcf(c_4190,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) )
| ( compose(X0,a) != a ) ),
inference(demodulation,[status(thm)],[c_397,c_95]) ).
tcf(c_4203,plain,
( ( codomain(h) = g )
| ( codomain(a) != codomain(h) )
| ( compose(g,a) != a ) ),
inference(superposition,[status(thm)],[c_110,c_4190]) ).
tcf(c_4206,plain,
( ( compose(a,b) = codomain(h) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) )
| ( compose(compose(a,b),a) != a ) ),
inference(superposition,[status(thm)],[c_231,c_4190]) ).
tcf(c_4207,plain,
( ( compose(h,compose(a,b)) = codomain(h) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) )
| ( compose(compose(h,compose(a,b)),a) != a ) ),
inference(superposition,[status(thm)],[c_829,c_4190]) ).
tcf(c_4212,plain,
( ( codomain(h) = h )
| ( codomain(a) != codomain(h) )
| ( compose(h,a) != a ) ),
inference(equality_resolution,[status(thm)],[c_4190]) ).
tcf(c_4380,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(a))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_2979]) ).
tcf(c_4395,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(h))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4380,c_195]) ).
tcf(c_4605,plain,
! [X0: $i] :
( ( domain(X0) = codomain(h) )
| ( domain(X0) != codomain(a) )
| ( compose(domain(X0),a) != a ) ),
inference(superposition,[status(thm)],[c_63,c_404]) ).
tcf(c_4606,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(h) )
| ( codomain(X0) != codomain(a) )
| ( compose(codomain(X0),a) != a ) ),
inference(superposition,[status(thm)],[c_95,c_404]) ).
tcf(c_4607,plain,
( ( compose(a,b) = codomain(h) )
| ( codomain(a) != codomain(b) )
| ( compose(compose(a,b),a) != a ) ),
inference(superposition,[status(thm)],[c_231,c_404]) ).
tcf(c_4608,plain,
( ( compose(h,compose(a,b)) = codomain(h) )
| ( codomain(a) != codomain(b) )
| ( compose(compose(h,compose(a,b)),a) != a ) ),
inference(superposition,[status(thm)],[c_829,c_404]) ).
tcf(c_4609,plain,
( ( compose(g,a) = codomain(h) )
| ( compose(compose(g,a),a) != a ) ),
inference(superposition,[status(thm)],[c_502,c_404]) ).
tcf(c_4610,plain,
( ( compose(h,a) = codomain(h) )
| ( compose(compose(h,a),a) != a ) ),
inference(superposition,[status(thm)],[c_506,c_404]) ).
tcf(c_4613,plain,
( ( codomain(h) = a )
| ( compose(a,a) != a ) ),
inference(equality_resolution,[status(thm)],[c_404]) ).
tcf(c_4866,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) )
| ( compose(X0,b) != b ) ),
inference(demodulation,[status(thm)],[c_429,c_95]) ).
tcf(c_4882,plain,
( ( compose(a,b) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) )
| ( compose(compose(a,b),b) != b ) ),
inference(superposition,[status(thm)],[c_231,c_4866]) ).
tcf(c_4883,plain,
( ( compose(h,compose(a,b)) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) )
| ( compose(compose(h,compose(a,b)),b) != b ) ),
inference(superposition,[status(thm)],[c_829,c_4866]) ).
tcf(c_4884,plain,
( ( compose(g,a) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( compose(compose(g,a),b) != b ) ),
inference(superposition,[status(thm)],[c_502,c_4866]) ).
tcf(c_4885,plain,
( ( compose(h,a) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( compose(compose(h,a),b) != b ) ),
inference(superposition,[status(thm)],[c_506,c_4866]) ).
tcf(c_4959,plain,
( ( codomain(a) = g )
| ( compose(g,b) != b ) ),
inference(superposition,[status(thm)],[c_110,c_433]) ).
tcf(c_4960,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ( domain(X0) != codomain(h) )
| ( compose(domain(X0),b) != b ) ),
inference(superposition,[status(thm)],[c_63,c_433]) ).
tcf(c_4961,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(a) )
| ( codomain(X0) != codomain(h) )
| ( compose(codomain(X0),b) != b ) ),
inference(superposition,[status(thm)],[c_95,c_433]) ).
tcf(c_4962,plain,
( ( compose(a,b) = codomain(a) )
| ( codomain(b) != codomain(h) )
| ( compose(compose(a,b),b) != b ) ),
inference(superposition,[status(thm)],[c_231,c_433]) ).
tcf(c_4963,plain,
( ( compose(h,compose(a,b)) = codomain(a) )
| ( codomain(b) != codomain(h) )
| ( compose(compose(h,compose(a,b)),b) != b ) ),
inference(superposition,[status(thm)],[c_829,c_433]) ).
tcf(c_4968,plain,
( ( codomain(a) = h )
| ( compose(h,b) != b ) ),
inference(equality_resolution,[status(thm)],[c_433]) ).
tcf(c_5026,plain,
( ( domain(compose(compose(a,b),codomain(g))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_1226]) ).
tcf(c_5041,plain,
( ( domain(compose(compose(a,b),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5026,c_110]) ).
tcf(c_5088,plain,
( ( domain(compose(compose(a,b),domain(g))) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1227]) ).
tcf(c_5094,plain,
( ( domain(compose(compose(a,b),domain(h))) = codomain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5088,c_446]) ).
tcf(c_5111,plain,
( ( domain(compose(compose(h,a),codomain(g))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_1311]) ).
tcf(c_5114,plain,
( ( domain(compose(compose(h,a),codomain(compose(a,b)))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_1311]) ).
tcf(c_5124,plain,
( ( domain(compose(compose(h,a),codomain(h))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5111,c_110]) ).
tcf(c_5129,plain,
( ( domain(compose(compose(h,a),codomain(b))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5114,c_231]) ).
tcf(c_5141,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),g),X1) = compose(domain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_459]) ).
tcf(c_5142,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),g),X1) = compose(codomain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_459]) ).
tcf(c_5143,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),X0) = compose(compose(a,b),compose(g,X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_459]) ).
tcf(c_5144,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),g),X0) = compose(compose(h,compose(a,b)),compose(g,X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_459]) ).
tcf(c_5145,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),g),X0) = compose(compose(g,a),compose(g,X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_459]) ).
tcf(c_5146,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),g),X0) = compose(compose(h,a),compose(g,X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_459]) ).
tcf(c_5190,plain,
( ( domain(compose(compose(g,a),codomain(g))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_1314]) ).
tcf(c_5193,plain,
( ( domain(compose(compose(g,a),codomain(compose(a,b)))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_1314]) ).
tcf(c_5203,plain,
( ( domain(compose(compose(g,a),codomain(h))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5190,c_110]) ).
tcf(c_5208,plain,
( ( domain(compose(compose(g,a),codomain(b))) = domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5193,c_231]) ).
tcf(c_5223,plain,
( ( domain(compose(compose(h,a),domain(g))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1402]) ).
tcf(c_5230,plain,
( ( domain(compose(compose(h,a),domain(h))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5223,c_446]) ).
tcf(c_5251,plain,
( ( domain(compose(compose(g,a),domain(g))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1405]) ).
tcf(c_5258,plain,
( ( domain(compose(compose(g,a),domain(h))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5251,c_446]) ).
tcf(c_5426,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),X1) = compose(X0,compose(compose(h,compose(a,b)),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_478,c_829]) ).
tcf(c_5436,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),b) = compose(X0,compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_5426]) ).
tcf(c_5437,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),a) = compose(X0,compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5426]) ).
tcf(c_5438,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),compose(a,b)) = compose(X0,compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5426]) ).
tcf(c_5439,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(h,compose(a,b))),codomain(X0)) = compose(X1,compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_5426]) ).
tcf(c_5440,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),domain(X1)) = compose(X0,compose(compose(h,compose(a,b)),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5426]) ).
tcf(c_5441,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),g) = compose(X0,compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5426]) ).
tcf(c_5442,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(X0,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5426]) ).
tcf(c_5443,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),compose(g,a)) = compose(X0,compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5426]) ).
tcf(c_5445,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),compose(h,a)) = compose(X0,compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5426]) ).
tcf(c_5529,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_479,c_829]) ).
tcf(c_5539,plain,
( ( codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = codomain(b) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_5529]) ).
tcf(c_5550,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_3726,c_64]) ).
tcf(c_5593,plain,
( ( codomain(compose(compose(a,b),codomain(g))) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_2798]) ).
tcf(c_5605,plain,
( ( codomain(compose(compose(a,b),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5593,c_110]) ).
tcf(c_5621,plain,
( ( codomain(compose(compose(g,a),codomain(g))) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_2800]) ).
tcf(c_5624,plain,
( ( codomain(compose(compose(g,a),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_2800]) ).
tcf(c_5634,plain,
( ( codomain(compose(compose(g,a),codomain(h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5621,c_110]) ).
tcf(c_5639,plain,
( ( codomain(compose(compose(g,a),codomain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5624,c_231]) ).
tcf(c_5649,plain,
( ( codomain(compose(compose(h,a),codomain(g))) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_2801]) ).
tcf(c_5652,plain,
( ( codomain(compose(compose(h,a),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_2801]) ).
tcf(c_5662,plain,
( ( codomain(compose(compose(h,a),codomain(h))) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5649,c_110]) ).
tcf(c_5667,plain,
( ( codomain(compose(compose(h,a),codomain(b))) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5652,c_231]) ).
tcf(c_5683,plain,
( ( codomain(compose(compose(a,b),domain(g))) = domain(g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2981]) ).
tcf(c_5689,plain,
( ( codomain(compose(compose(a,b),domain(h))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5683,c_446]) ).
tcf(c_5711,plain,
( ( codomain(compose(compose(g,a),domain(g))) = domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2983]) ).
tcf(c_5718,plain,
( ( codomain(compose(compose(g,a),domain(h))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5711,c_446]) ).
tcf(c_5739,plain,
( ( codomain(compose(compose(h,a),domain(g))) = domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2984]) ).
tcf(c_5746,plain,
( ( codomain(compose(compose(h,a),domain(h))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5739,c_446]) ).
tcf(c_5766,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = domain(compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_480]) ).
tcf(c_5767,plain,
( ( domain(compose(compose(g,a),compose(h,compose(a,b)))) = domain(compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_480]) ).
tcf(c_5768,plain,
( ( domain(compose(compose(h,a),compose(h,compose(a,b)))) = domain(compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_480]) ).
tcf(c_5773,plain,
( ( domain(compose(compose(h,a),compose(h,compose(a,b)))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5768,c_867]) ).
tcf(c_5776,plain,
( ( domain(compose(compose(g,a),compose(h,compose(a,b)))) = domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5767,c_868]) ).
tcf(c_5786,plain,
( ( domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5766,c_282]) ).
tcf(c_5837,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X0)),X1) = compose(compose(g,a),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_531]) ).
tcf(c_5838,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),X1) = compose(compose(g,a),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_531]) ).
tcf(c_5840,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),X0) = compose(compose(g,a),compose(compose(h,compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_531]) ).
tcf(c_5841,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),X0) = compose(compose(g,a),compose(compose(g,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_531]) ).
tcf(c_5842,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),X0) = compose(compose(g,a),compose(compose(h,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_531]) ).
tcf(c_5845,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),b) = compose(compose(g,a),compose(X0,b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_531]) ).
tcf(c_5846,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),a) = compose(compose(g,a),compose(X0,a)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_531]) ).
tcf(c_5847,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),compose(a,b)) = compose(compose(g,a),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_531]) ).
tcf(c_5848,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),X0),codomain(X1)) = compose(compose(g,a),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_531]) ).
tcf(c_5849,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),X0),domain(X1)) = compose(compose(g,a),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_531]) ).
tcf(c_5850,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),g) = compose(compose(g,a),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_531]) ).
tcf(c_5851,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),compose(h,compose(a,b))) = compose(compose(g,a),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_531]) ).
tcf(c_5852,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),compose(g,a)) = compose(compose(g,a),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_531]) ).
tcf(c_5854,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),compose(h,a)) = compose(compose(g,a),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_531]) ).
tcf(c_5871,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),X1) = compose(compose(g,a),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_5838,c_64]) ).
tcf(c_5875,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X0)),X1) = compose(compose(g,a),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_5837,c_94]) ).
tcf(c_5888,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),X0) = compose(compose(g,a),compose(compose(h,a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5842,c_867]) ).
tcf(c_5892,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),X0) = compose(compose(g,a),compose(compose(g,a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5841,c_868]) ).
tcf(c_5914,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),X0) = compose(compose(g,a),compose(compose(h,compose(a,b)),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5840,c_282]) ).
tcf(c_5935,plain,
! [X0: $i] :
( ( domain(compose(compose(g,a),X0)) = domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_537,c_868]) ).
tcf(c_5943,plain,
( ( domain(compose(compose(g,a),a)) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5935]) ).
tcf(c_5944,plain,
( ( domain(compose(compose(g,a),compose(a,b))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5935]) ).
tcf(c_5977,plain,
! [X0: $i] :
( ( domain(compose(compose(h,a),X0)) = domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_605,c_867]) ).
tcf(c_5985,plain,
( ( domain(compose(compose(h,a),a)) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5977]) ).
tcf(c_5986,plain,
( ( domain(compose(compose(h,a),compose(a,b))) = domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5977]) ).
tcf(c_6263,plain,
compose(compose(g,a),b) = compose(g,compose(a,b)),
inference(superposition,[status(thm)],[c_70,c_3211]) ).
tcf(c_6264,plain,
( ( compose(compose(g,a),a) = compose(g,compose(a,a)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3211]) ).
tcf(c_6265,plain,
( ( compose(compose(g,a),compose(a,b)) = compose(g,compose(a,compose(a,b))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3211]) ).
tcf(c_6266,plain,
! [X0: $i] :
( ( compose(compose(g,a),codomain(X0)) = compose(g,compose(a,codomain(X0))) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_3211]) ).
tcf(c_6267,plain,
! [X0: $i] :
( ( compose(compose(g,a),domain(X0)) = compose(g,compose(a,domain(X0))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_3211]) ).
tcf(c_6268,plain,
( ( compose(compose(g,a),g) = compose(g,compose(a,g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3211]) ).
tcf(c_6269,plain,
( ( compose(compose(g,a),compose(h,compose(a,b))) = compose(g,compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3211]) ).
tcf(c_6270,plain,
( ( compose(compose(g,a),compose(g,a)) = compose(g,compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3211]) ).
tcf(c_6272,plain,
( ( compose(compose(g,a),compose(h,a)) = compose(g,compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3211]) ).
tcf(c_6274,plain,
compose(compose(g,a),b) = compose(h,compose(a,b)),
inference(light_normalisation,[status(thm)],[c_6263,c_75]) ).
tcf(c_6316,plain,
! [X0: $i] :
( ( compose(g,a) = X0 )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(g,a)) != codomain(h) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(superposition,[status(thm)],[c_6274,c_415]) ).
tcf(c_6317,plain,
! [X0: $i] :
( ( compose(g,a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(g,a)) != codomain(a) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(superposition,[status(thm)],[c_6274,c_415]) ).
tcf(c_6318,plain,
! [X0: $i] :
( ( compose(g,a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(ground_joinability,[status(thm)],[c_6317,c_502]) ).
tcf(c_6322,plain,
! [X0: $i] :
( ( compose(g,a) = X0 )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(light_normalisation,[status(thm)],[c_6316,c_502]) ).
tcf(c_6450,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X0)),X1) = compose(compose(h,a),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_599]) ).
tcf(c_6451,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),X1) = compose(compose(h,a),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_599]) ).
tcf(c_6453,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),X0) = compose(compose(h,a),compose(compose(h,compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_599]) ).
tcf(c_6454,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),X0) = compose(compose(h,a),compose(compose(g,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_599]) ).
tcf(c_6455,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),X0) = compose(compose(h,a),compose(compose(h,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_599]) ).
tcf(c_6457,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),b) = compose(compose(h,a),compose(X0,b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_599]) ).
tcf(c_6458,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),a) = compose(compose(h,a),compose(X0,a)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_599]) ).
tcf(c_6459,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),compose(a,b)) = compose(compose(h,a),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_599]) ).
tcf(c_6460,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),X0),codomain(X1)) = compose(compose(h,a),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_599]) ).
tcf(c_6461,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),X0),domain(X1)) = compose(compose(h,a),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_599]) ).
tcf(c_6462,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),g) = compose(compose(h,a),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_599]) ).
tcf(c_6463,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),compose(h,compose(a,b))) = compose(compose(h,a),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_599]) ).
tcf(c_6464,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),compose(g,a)) = compose(compose(h,a),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_599]) ).
tcf(c_6465,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),compose(h,a)) = compose(compose(h,a),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_599]) ).
tcf(c_6482,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),X1) = compose(compose(h,a),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_6451,c_64]) ).
tcf(c_6486,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X0)),X1) = compose(compose(h,a),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_6450,c_94]) ).
tcf(c_6499,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),X0) = compose(compose(h,a),compose(compose(h,a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6455,c_867]) ).
tcf(c_6503,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),X0) = compose(compose(h,a),compose(compose(g,a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6454,c_868]) ).
tcf(c_6518,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),X0) = compose(compose(h,a),compose(compose(h,compose(a,b)),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6453,c_282]) ).
tcf(c_6569,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X1),codomain(X0))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_3666,c_64]) ).
tcf(c_6702,plain,
compose(compose(h,a),b) = compose(h,compose(a,b)),
inference(superposition,[status(thm)],[c_70,c_3220]) ).
tcf(c_6703,plain,
( ( compose(compose(h,a),a) = compose(h,compose(a,a)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3220]) ).
tcf(c_6704,plain,
( ( compose(compose(h,a),compose(a,b)) = compose(h,compose(a,compose(a,b))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3220]) ).
tcf(c_6705,plain,
! [X0: $i] :
( ( compose(compose(h,a),codomain(X0)) = compose(h,compose(a,codomain(X0))) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_3220]) ).
tcf(c_6706,plain,
! [X0: $i] :
( ( compose(compose(h,a),domain(X0)) = compose(h,compose(a,domain(X0))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_3220]) ).
tcf(c_6707,plain,
( ( compose(compose(h,a),g) = compose(h,compose(a,g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3220]) ).
tcf(c_6708,plain,
( ( compose(compose(h,a),compose(h,compose(a,b))) = compose(h,compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3220]) ).
tcf(c_6709,plain,
( ( compose(compose(h,a),compose(g,a)) = compose(h,compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3220]) ).
tcf(c_6710,plain,
( ( compose(compose(h,a),compose(h,a)) = compose(h,compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3220]) ).
tcf(c_6743,plain,
! [X0: $i] :
( ( compose(h,a) = X0 )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != codomain(h) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(superposition,[status(thm)],[c_6702,c_415]) ).
tcf(c_6744,plain,
! [X0: $i] :
( ( compose(h,a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(h,a)) != codomain(a) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(superposition,[status(thm)],[c_6702,c_415]) ).
tcf(c_6745,plain,
! [X0: $i] :
( ( compose(h,a) = X0 )
| ( codomain(X0) != codomain(h) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(ground_joinability,[status(thm)],[c_6744,c_506]) ).
tcf(c_6749,plain,
! [X0: $i] :
( ( compose(h,a) = X0 )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) )
| ( compose(h,compose(a,b)) != compose(X0,b) ) ),
inference(light_normalisation,[status(thm)],[c_6743,c_506]) ).
tcf(c_6795,plain,
( ( codomain(h) = domain(b) )
| ( codomain(a) != domain(b) )
| ( compose(codomain(a),a) != a ) ),
inference(superposition,[status(thm)],[c_70,c_4605]) ).
tcf(c_6800,plain,
( ( codomain(h) = domain(g) )
| ( codomain(a) != domain(g) )
| ( compose(domain(h),a) != a ) ),
inference(superposition,[status(thm)],[c_446,c_4605]) ).
tcf(c_6804,plain,
( ( codomain(h) = domain(h) )
| ( codomain(a) != domain(h) )
| ( compose(domain(h),a) != a ) ),
inference(light_normalisation,[status(thm)],[c_6800,c_446]) ).
tcf(c_6808,plain,
( ( codomain(h) = domain(b) )
| ( compose(codomain(a),a) != a ) ),
inference(ground_joinability,[status(thm)],[c_6795,c_70]) ).
tcf(c_6809,plain,
( ( codomain(a) = codomain(h) )
| ( compose(codomain(a),a) != a ) ),
inference(light_normalisation,[status(thm)],[c_6808,c_70]) ).
tcf(c_6855,plain,
( ( domain(compose(compose(h,compose(a,b)),codomain(g))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_1324]) ).
tcf(c_6866,plain,
( ( domain(compose(compose(h,compose(a,b)),codomain(h))) = domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6855,c_110]) ).
tcf(c_6888,plain,
( ( codomain(a) = domain(a) )
| ( codomain(h) != domain(a) )
| ( compose(codomain(h),b) != b ) ),
inference(superposition,[status(thm)],[c_195,c_4960]) ).
tcf(c_6892,plain,
( ( codomain(a) = domain(g) )
| ( codomain(h) != domain(g) )
| ( compose(domain(h),b) != b ) ),
inference(superposition,[status(thm)],[c_446,c_4960]) ).
tcf(c_6896,plain,
( ( codomain(a) = domain(h) )
| ( codomain(h) != domain(h) )
| ( compose(domain(h),b) != b ) ),
inference(light_normalisation,[status(thm)],[c_6892,c_446]) ).
tcf(c_6900,plain,
( ( codomain(a) = domain(a) )
| ( compose(codomain(h),b) != b ) ),
inference(ground_joinability,[status(thm)],[c_6888,c_195]) ).
tcf(c_6901,plain,
( ( codomain(a) = codomain(h) )
| ( compose(codomain(h),b) != b ) ),
inference(light_normalisation,[status(thm)],[c_6900,c_195]) ).
tcf(c_6915,plain,
( ( compose(compose(g,a),codomain(g)) = compose(g,compose(a,codomain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_6266]) ).
tcf(c_6918,plain,
( ( compose(compose(g,a),codomain(compose(a,b))) = compose(g,compose(a,codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_6266]) ).
tcf(c_6926,plain,
( ( compose(compose(g,a),codomain(h)) = compose(g,compose(a,codomain(h))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6915,c_110]) ).
tcf(c_6931,plain,
( ( compose(compose(g,a),codomain(b)) = compose(g,compose(a,codomain(b))) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6918,c_231]) ).
tcf(c_6939,plain,
( ( compose(compose(h,a),codomain(g)) = compose(h,compose(a,codomain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_6705]) ).
tcf(c_6942,plain,
( ( compose(compose(h,a),codomain(compose(a,b))) = compose(h,compose(a,codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_6705]) ).
tcf(c_6950,plain,
( ( compose(compose(h,a),codomain(h)) = compose(h,compose(a,codomain(h))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6939,c_110]) ).
tcf(c_6955,plain,
( ( compose(compose(h,a),codomain(b)) = compose(h,compose(a,codomain(b))) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6942,c_231]) ).
tcf(c_6982,plain,
( ( domain(compose(compose(h,compose(a,b)),domain(g))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1415]) ).
tcf(c_6986,plain,
( ( domain(compose(compose(h,compose(a,b)),domain(h))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6982,c_446]) ).
tcf(c_7049,plain,
( ( compose(compose(h,compose(a,b)),b) = compose(g,compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3810]) ).
tcf(c_7050,plain,
( ( compose(compose(h,compose(a,b)),a) = compose(g,compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3810]) ).
tcf(c_7051,plain,
( ( compose(compose(h,compose(a,b)),compose(a,b)) = compose(g,compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3810]) ).
tcf(c_7052,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),codomain(X0)) = compose(g,compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_3810]) ).
tcf(c_7053,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),domain(X0)) = compose(g,compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_3810]) ).
tcf(c_7054,plain,
( ( compose(compose(h,compose(a,b)),g) = compose(g,compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3810]) ).
tcf(c_7055,plain,
( ( compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(g,compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3810]) ).
tcf(c_7056,plain,
( ( compose(compose(h,compose(a,b)),compose(g,a)) = compose(g,compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3810]) ).
tcf(c_7057,plain,
( ( compose(compose(h,compose(a,b)),compose(h,a)) = compose(g,compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3810]) ).
tcf(c_7159,plain,
( ( compose(compose(h,compose(a,b)),codomain(g)) = compose(g,compose(compose(a,b),codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7052]) ).
tcf(c_7169,plain,
( ( compose(compose(h,compose(a,b)),codomain(h)) = compose(g,compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7159,c_110]) ).
tcf(c_7204,plain,
! [X0: $i] :
( ( compose(compose(g,b),X0) = compose(g,compose(b,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_110,c_317]) ).
tcf(c_7205,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),b),X1) = compose(domain(X0),compose(b,X1)) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_317]) ).
tcf(c_7206,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),b),X1) = compose(codomain(X0),compose(b,X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_317]) ).
tcf(c_7207,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),b),X0) = compose(compose(a,b),compose(b,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_317]) ).
tcf(c_7208,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),b),X0) = compose(compose(h,compose(a,b)),compose(b,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_317]) ).
tcf(c_7209,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),b),X0) = compose(compose(g,a),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_317]) ).
tcf(c_7210,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),b),X0) = compose(compose(h,a),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_317]) ).
tcf(c_7211,plain,
! [X0: $i] :
( ( compose(compose(a,b),X0) = compose(a,compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_317]) ).
tcf(c_7214,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),X0) = compose(compose(h,a),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7210,c_6702]) ).
tcf(c_7217,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),X0) = compose(compose(g,a),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7209,c_6274]) ).
tcf(c_7259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(X0)),X2) = compose(domain(X1),compose(domain(X0),X2)) )
| ( domain(X0) != domain(X2) )
| ( domain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_314]) ).
tcf(c_7262,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),X1) = compose(domain(X0),compose(compose(h,compose(a,b)),X1)) )
| ( domain(X1) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_314]) ).
tcf(c_7263,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(g,a)),X1) = compose(domain(X0),compose(compose(g,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( domain(compose(g,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_502,c_314]) ).
tcf(c_7264,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,a)),X1) = compose(domain(X0),compose(compose(h,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( domain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_314]) ).
tcf(c_7265,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),b) = compose(domain(X1),compose(X0,b)) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_314]) ).
tcf(c_7266,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),a) = compose(domain(X1),compose(X0,a)) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_314]) ).
tcf(c_7267,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),compose(a,b)) = compose(domain(X1),compose(X0,compose(a,b))) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_314]) ).
tcf(c_7268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),X0),codomain(X1)) = compose(domain(X2),compose(X0,codomain(X1))) )
| ( domain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_314]) ).
tcf(c_7269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),X0),domain(X1)) = compose(domain(X2),compose(X0,domain(X1))) )
| ( domain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_314]) ).
tcf(c_7270,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),g) = compose(domain(X1),compose(X0,g)) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_314]) ).
tcf(c_7271,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),compose(h,compose(a,b))) = compose(domain(X1),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_314]) ).
tcf(c_7272,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),compose(g,a)) = compose(domain(X1),compose(X0,compose(g,a))) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_314]) ).
tcf(c_7273,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),compose(h,a)) = compose(domain(X1),compose(X0,compose(h,a))) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_314]) ).
tcf(c_7293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(X0)),X2) = compose(domain(X1),compose(domain(X0),X2)) )
| ( domain(X0) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7259,c_94]) ).
tcf(c_7306,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,a)),X0) = compose(domain(X1),compose(compose(h,a),X0)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7264,c_867]) ).
tcf(c_7310,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(g,a)),X0) = compose(domain(X1),compose(compose(g,a),X0)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7263,c_868]) ).
tcf(c_7321,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,compose(a,b))),X0) = compose(domain(X1),compose(compose(h,compose(a,b)),X0)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7262,c_282]) ).
tcf(c_7343,plain,
( ( compose(compose(a,b),b) = compose(a,compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7211]) ).
tcf(c_7344,plain,
( ( compose(compose(a,b),a) = compose(a,compose(b,a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7211]) ).
tcf(c_7345,plain,
( ( compose(compose(a,b),compose(a,b)) = compose(a,compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7211]) ).
tcf(c_7346,plain,
! [X0: $i] :
( ( compose(compose(a,b),codomain(X0)) = compose(a,compose(b,codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_7211]) ).
tcf(c_7347,plain,
! [X0: $i] :
( ( compose(compose(a,b),domain(X0)) = compose(a,compose(b,domain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_7211]) ).
tcf(c_7348,plain,
( ( compose(compose(a,b),g) = compose(a,compose(b,g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7211]) ).
tcf(c_7349,plain,
( ( compose(compose(a,b),compose(h,compose(a,b))) = compose(a,compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7211]) ).
tcf(c_7350,plain,
( ( compose(compose(a,b),compose(g,a)) = compose(a,compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7211]) ).
tcf(c_7351,plain,
( ( compose(compose(a,b),compose(h,a)) = compose(a,compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7211]) ).
tcf(c_7428,plain,
( ( codomain(compose(compose(h,compose(a,b)),codomain(g))) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_2799]) ).
tcf(c_7438,plain,
( ( codomain(compose(compose(h,compose(a,b)),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7428,c_110]) ).
tcf(c_7459,plain,
( ( codomain(compose(compose(h,compose(a,b)),domain(g))) = domain(g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_2982]) ).
tcf(c_7463,plain,
( ( codomain(compose(compose(h,compose(a,b)),domain(h))) = domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7459,c_446]) ).
tcf(c_7489,plain,
( ( compose(compose(a,b),codomain(g)) = compose(a,compose(b,codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7346]) ).
tcf(c_7499,plain,
( ( compose(compose(a,b),codomain(h)) = compose(a,compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7489,c_110]) ).
tcf(c_7553,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(compose(a,b)),X0),X1) = compose(codomain(compose(a,b)),compose(X0,X1)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_231,c_315]) ).
tcf(c_7556,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(compose(h,a)),X0),X1) = compose(codomain(compose(h,a)),compose(X0,X1)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_506,c_315]) ).
tcf(c_7560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X2),codomain(X0)),X1) = compose(codomain(X2),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(X2) )
| ( codomain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_315]) ).
tcf(c_7561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X2),domain(X0)),X1) = compose(codomain(X2),compose(domain(X0),X1)) )
| ( codomain(X2) != domain(X0) )
| ( codomain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_315]) ).
tcf(c_7563,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(h,compose(a,b))),X0) = compose(codomain(X1),compose(compose(h,compose(a,b)),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_282,c_315]) ).
tcf(c_7564,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(g,a)),X0) = compose(codomain(X1),compose(compose(g,a),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(g,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_868,c_315]) ).
tcf(c_7565,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(h,a)),X0) = compose(codomain(X1),compose(compose(h,a),X0)) )
| ( codomain(X1) != domain(h) )
| ( codomain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_867,c_315]) ).
tcf(c_7571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X0),domain(X1)),X2) = compose(codomain(X0),compose(domain(X1),X2)) )
| ( domain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7561,c_63]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),X2) = compose(codomain(X1),compose(codomain(X0),X2)) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7560,c_95]) ).
tcf(c_7579,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),X0),X1) = compose(codomain(a),compose(X0,X1)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7556,c_506]) ).
tcf(c_7584,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),X0),X1) = compose(codomain(b),compose(X0,X1)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7553,c_231]) ).
tcf(c_7588,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),X1) = compose(codomain(X0),compose(compose(h,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7565,c_506]) ).
tcf(c_7592,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),X1) = compose(codomain(X0),compose(compose(g,a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7564,c_502]) ).
tcf(c_7598,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),X1) = compose(codomain(X0),compose(compose(h,compose(a,b)),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7563,c_829]) ).
tcf(c_7616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X0),domain(X1)),X2) = compose(domain(X0),compose(domain(X1),X2)) )
| ( domain(X1) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_334]) ).
tcf(c_7618,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X0)),X1) = compose(compose(a,b),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_231,c_334]) ).
tcf(c_7619,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),X1) = compose(compose(h,compose(a,b)),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_829,c_334]) ).
tcf(c_7622,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(b)),X1) = compose(X0,compose(domain(b),X1)) )
| ( domain(X1) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_334]) ).
tcf(c_7623,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(a)),X1) = compose(X0,compose(domain(a),X1)) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_334]) ).
tcf(c_7627,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(g)),X1) = compose(X0,compose(domain(g),X1)) )
| ( domain(X1) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_334]) ).
tcf(c_7631,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(h)),X1) = compose(X0,compose(domain(h),X1)) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7627,c_446]) ).
tcf(c_7635,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(h)),X1) = compose(X0,compose(codomain(h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7623,c_195]) ).
tcf(c_7639,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(a)),X1) = compose(X0,compose(codomain(a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7622,c_70]) ).
tcf(c_7672,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,codomain(compose(a,b))),X0) = compose(X1,compose(codomain(compose(a,b)),X0)) )
| ( codomain(X1) != codomain(b) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_338]) ).
tcf(c_7676,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,codomain(X0)),X1) = compose(g,compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_110,c_338]) ).
tcf(c_7679,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),X1) = compose(compose(a,b),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_231,c_338]) ).
tcf(c_7680,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),X1) = compose(compose(h,compose(a,b)),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_829,c_338]) ).
tcf(c_7683,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(X0)),X1) = compose(X0,compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(equality_resolution,[status(thm)],[c_338]) ).
tcf(c_7684,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,compose(codomain(X0),X1)) = compose(X0,X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7683,c_66]) ).
tcf(c_7698,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(b)),X1) = compose(X0,compose(codomain(b),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7672,c_231]) ).
tcf(c_7718,plain,
! [X0: $i] :
( ( compose(compose(domain(a),a),X0) = compose(domain(a),compose(a,X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_3212]) ).
tcf(c_7722,plain,
! [X0: $i] :
( ( compose(compose(domain(g),a),X0) = compose(domain(g),compose(a,X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_3212]) ).
tcf(c_7726,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(a,X0)) = compose(a,X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7718,c_195,c_211]) ).
tcf(c_7730,plain,
! [X0: $i] :
( ( compose(compose(domain(h),a),X0) = compose(domain(h),compose(a,X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7722,c_446]) ).
tcf(c_7749,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),X1)) = compose(domain(X0),X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_7684]) ).
tcf(c_7750,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),X1)) = compose(codomain(X0),X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_7684]) ).
tcf(c_7751,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(compose(a,b)),X0)) = compose(compose(a,b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7684]) ).
tcf(c_7752,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),X0)) = compose(compose(h,compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_7684]) ).
tcf(c_7753,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(compose(g,a)),X0)) = compose(compose(g,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_7684]) ).
tcf(c_7754,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(compose(h,a)),X0)) = compose(compose(h,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_7684]) ).
tcf(c_7755,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),b)) = compose(X0,b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7684]) ).
tcf(c_7756,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),a)) = compose(X0,a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7684]) ).
tcf(c_7757,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(a,b))) = compose(X0,compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7684]) ).
tcf(c_7758,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,compose(codomain(X0),codomain(X1))) = compose(X0,codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7684]) ).
tcf(c_7759,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,compose(codomain(X0),domain(X1))) = compose(X0,domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7684]) ).
tcf(c_7760,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),g)) = compose(X0,g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7684]) ).
tcf(c_7761,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(h,compose(a,b)))) = compose(X0,compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7684]) ).
tcf(c_7762,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(g,a))) = compose(X0,compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7684]) ).
tcf(c_7763,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(h,a))) = compose(X0,compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7684]) ).
tcf(c_7774,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(X0),X1)) = compose(codomain(X0),X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7750,c_95]) ).
tcf(c_7777,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X0),compose(domain(X0),X1)) = compose(domain(X0),X1) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7749,c_63]) ).
tcf(c_7786,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(a),X0)) = compose(compose(h,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7754,c_506]) ).
tcf(c_7789,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(a),X0)) = compose(compose(g,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7753,c_502]) ).
tcf(c_7792,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(b),X0)) = compose(compose(a,b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7751,c_231]) ).
tcf(c_7797,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(b),X0)) = compose(compose(h,compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7752,c_829]) ).
tcf(c_7879,plain,
( ( compose(codomain(h),compose(a,a)) = compose(a,a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7726]) ).
tcf(c_7880,plain,
( ( compose(codomain(h),compose(a,compose(a,b))) = compose(a,compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7726]) ).
tcf(c_7881,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(a,codomain(X0))) = compose(a,codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7726]) ).
tcf(c_7882,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(a,domain(X0))) = compose(a,domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_7726]) ).
tcf(c_7883,plain,
( ( compose(codomain(h),compose(a,g)) = compose(a,g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7726]) ).
tcf(c_7884,plain,
( ( compose(codomain(h),compose(a,compose(h,compose(a,b)))) = compose(a,compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7726]) ).
tcf(c_7885,plain,
( ( compose(codomain(h),compose(a,compose(g,a))) = compose(a,compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7726]) ).
tcf(c_7886,plain,
( ( compose(codomain(h),compose(a,compose(h,a))) = compose(a,compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7726]) ).
tcf(c_7919,plain,
( ( compose(g,compose(codomain(g),b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7755]) ).
tcf(c_7920,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),b)) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7755]) ).
tcf(c_7921,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),b)) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_7755]) ).
tcf(c_7922,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7755]) ).
tcf(c_7923,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),b)) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_7755]) ).
tcf(c_7930,plain,
( ( compose(g,compose(codomain(h),b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7919,c_110]) ).
tcf(c_7933,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),b)) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7921,c_95]) ).
tcf(c_7936,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),b)) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7920,c_63]) ).
tcf(c_7939,plain,
( ( compose(compose(a,b),compose(codomain(b),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7922,c_231]) ).
tcf(c_7942,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),b)) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7923,c_829]) ).
tcf(c_7974,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),a)) = compose(domain(X0),a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_7756]) ).
tcf(c_7975,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),a)) = compose(codomain(X0),a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_7756]) ).
tcf(c_7976,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),a)) = compose(compose(a,b),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7756]) ).
tcf(c_7977,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),a)) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7756]) ).
tcf(c_7978,plain,
( ( compose(compose(g,a),compose(codomain(compose(g,a)),a)) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_7756]) ).
tcf(c_7979,plain,
( ( compose(compose(h,a),compose(codomain(compose(h,a)),a)) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_7756]) ).
tcf(c_7983,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),a)) = compose(codomain(X0),a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7975,c_95]) ).
tcf(c_7986,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),a)) = compose(domain(X0),a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7974,c_63]) ).
tcf(c_7989,plain,
( ( compose(compose(h,a),compose(codomain(a),a)) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7979,c_506]) ).
tcf(c_7992,plain,
( ( compose(compose(g,a),compose(codomain(a),a)) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7978,c_502]) ).
tcf(c_7995,plain,
( ( compose(compose(a,b),compose(codomain(b),a)) = compose(compose(a,b),a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7976,c_231]) ).
tcf(c_7998,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),a)) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7977,c_829]) ).
tcf(c_8026,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),g)) = compose(domain(X0),g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_7760]) ).
tcf(c_8027,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),g)) = compose(codomain(X0),g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_7760]) ).
tcf(c_8028,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),g)) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7760]) ).
tcf(c_8029,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),g)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7760]) ).
tcf(c_8030,plain,
( ( compose(compose(g,a),compose(codomain(compose(g,a)),g)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_7760]) ).
tcf(c_8031,plain,
( ( compose(compose(h,a),compose(codomain(compose(h,a)),g)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_7760]) ).
tcf(c_8032,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),g)) = compose(codomain(X0),g) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8027,c_95]) ).
tcf(c_8035,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),g)) = compose(domain(X0),g) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8026,c_63]) ).
tcf(c_8038,plain,
( ( compose(compose(h,a),compose(codomain(a),g)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8031,c_506]) ).
tcf(c_8041,plain,
( ( compose(compose(g,a),compose(codomain(a),g)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8030,c_502]) ).
tcf(c_8044,plain,
( ( compose(compose(a,b),compose(codomain(b),g)) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8028,c_231]) ).
tcf(c_8047,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),g)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8029,c_829]) ).
tcf(c_8130,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(g),codomain(X0))) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7758]) ).
tcf(c_8132,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),codomain(X1))) = compose(codomain(X0),codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_7758]) ).
tcf(c_8133,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(compose(a,b)),codomain(X0))) = compose(compose(a,b),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7758]) ).
tcf(c_8134,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),codomain(X0))) = compose(compose(h,compose(a,b)),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_7758]) ).
tcf(c_8135,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(compose(g,a)),codomain(X0))) = compose(compose(g,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_7758]) ).
tcf(c_8136,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(compose(h,a)),codomain(X0))) = compose(compose(h,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_7758]) ).
tcf(c_8149,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),codomain(X0))) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8130,c_110]) ).
tcf(c_8156,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(X0),codomain(X1))) = compose(codomain(X0),codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_8132,c_95]) ).
tcf(c_8168,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(a),codomain(X0))) = compose(compose(h,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8136,c_506]) ).
tcf(c_8171,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(a),codomain(X0))) = compose(compose(g,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8135,c_502]) ).
tcf(c_8174,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(b),codomain(X0))) = compose(compose(a,b),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8133,c_231]) ).
tcf(c_8178,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(b),codomain(X0))) = compose(compose(h,compose(a,b)),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8134,c_829]) ).
tcf(c_8232,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),domain(X1))) = compose(domain(X0),domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_7759]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),domain(X1))) = compose(codomain(X0),domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_7759]) ).
tcf(c_8234,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(compose(a,b)),domain(X0))) = compose(compose(a,b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7759]) ).
tcf(c_8235,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),domain(X0))) = compose(compose(h,compose(a,b)),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_7759]) ).
tcf(c_8236,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(compose(g,a)),domain(X0))) = compose(compose(g,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_7759]) ).
tcf(c_8237,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(compose(h,a)),domain(X0))) = compose(compose(h,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_7759]) ).
tcf(c_8256,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X0),compose(codomain(X0),domain(X1))) = compose(codomain(X0),domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_8233,c_95]) ).
tcf(c_8259,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X0),compose(domain(X0),domain(X1))) = compose(domain(X0),domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_8232,c_63]) ).
tcf(c_8265,plain,
! [X0: $i] :
( ( compose(compose(h,a),compose(codomain(a),domain(X0))) = compose(compose(h,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8237,c_506]) ).
tcf(c_8268,plain,
! [X0: $i] :
( ( compose(compose(g,a),compose(codomain(a),domain(X0))) = compose(compose(g,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8236,c_502]) ).
tcf(c_8271,plain,
! [X0: $i] :
( ( compose(compose(a,b),compose(codomain(b),domain(X0))) = compose(compose(a,b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8234,c_231]) ).
tcf(c_8275,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),compose(codomain(b),domain(X0))) = compose(compose(h,compose(a,b)),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8235,c_829]) ).
tcf(c_8331,plain,
! [X0: $i] :
( ( compose(codomain(compose(a,b)),compose(codomain(compose(a,b)),X0)) = compose(codomain(compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7774]) ).
tcf(c_8334,plain,
! [X0: $i] :
( ( compose(codomain(compose(h,a)),compose(codomain(compose(h,a)),X0)) = compose(codomain(compose(h,a)),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_7774]) ).
tcf(c_8337,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(a,b))) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7774]) ).
tcf(c_8341,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(h,compose(a,b)))) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7774]) ).
tcf(c_8342,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(g,a))) = compose(codomain(X0),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7774]) ).
tcf(c_8343,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(h,a))) = compose(codomain(X0),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7774]) ).
tcf(c_8352,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(codomain(a),X0)) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8334,c_506]) ).
tcf(c_8356,plain,
! [X0: $i] :
( ( compose(codomain(b),compose(codomain(b),X0)) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8331,c_231]) ).
tcf(c_8384,plain,
! [X0: $i] :
( ( compose(domain(a),compose(domain(a),X0)) = compose(domain(a),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7777]) ).
tcf(c_8388,plain,
! [X0: $i] :
( ( compose(domain(g),compose(domain(g),X0)) = compose(domain(g),X0) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7777]) ).
tcf(c_8394,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(a,b))) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7777]) ).
tcf(c_8395,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X1),compose(domain(X1),codomain(X0))) = compose(domain(X1),codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7777]) ).
tcf(c_8398,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(h,compose(a,b)))) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7777]) ).
tcf(c_8399,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(g,a))) = compose(domain(X0),compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7777]) ).
tcf(c_8400,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(h,a))) = compose(domain(X0),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7777]) ).
tcf(c_8403,plain,
! [X0: $i] :
( ( compose(domain(h),compose(domain(h),X0)) = compose(domain(h),X0) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8388,c_446]) ).
tcf(c_8406,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(codomain(h),X0)) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8384,c_195]) ).
tcf(c_8519,plain,
( ( compose(codomain(h),compose(a,codomain(g))) = compose(a,codomain(g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7881]) ).
tcf(c_8522,plain,
( ( compose(codomain(h),compose(a,codomain(compose(a,b)))) = compose(a,codomain(compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7881]) ).
tcf(c_8529,plain,
( ( compose(codomain(h),compose(a,codomain(h))) = compose(a,codomain(h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8519,c_110]) ).
tcf(c_8534,plain,
( ( compose(codomain(h),compose(a,codomain(b))) = compose(a,codomain(b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8522,c_231]) ).
tcf(c_8543,plain,
( ( compose(domain(a),compose(domain(a),b)) = compose(domain(a),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7936]) ).
tcf(c_8547,plain,
( ( compose(domain(g),compose(domain(g),b)) = compose(domain(g),b) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7936]) ).
tcf(c_8552,plain,
( ( compose(domain(h),compose(domain(h),b)) = compose(domain(h),b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8547,c_446]) ).
tcf(c_8555,plain,
( ( compose(codomain(h),compose(codomain(h),b)) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8543,c_195]) ).
tcf(c_8573,plain,
( ( compose(domain(g),compose(domain(g),a)) = compose(domain(g),a) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7986]) ).
tcf(c_8579,plain,
( ( compose(domain(h),compose(domain(h),a)) = compose(domain(h),a) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8573,c_446]) ).
tcf(c_8629,plain,
( ( compose(codomain(h),compose(a,domain(g))) = compose(a,domain(g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7882]) ).
tcf(c_8634,plain,
( ( compose(codomain(h),compose(a,domain(h))) = compose(a,domain(h)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8629,c_446]) ).
tcf(c_8651,plain,
( ( compose(codomain(compose(a,b)),compose(codomain(compose(a,b)),b)) = compose(codomain(compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7933]) ).
tcf(c_8662,plain,
( ( compose(codomain(b),compose(codomain(b),b)) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8651,c_231]) ).
tcf(c_8720,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),codomain(domain(X0)))) = compose(g,codomain(domain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_8149]) ).
tcf(c_8730,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),domain(X0))) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8720,c_63]) ).
tcf(c_8750,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(codomain(a),domain(X0))) = compose(codomain(a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_8352]) ).
tcf(c_8789,plain,
( ( compose(g,compose(codomain(h),domain(g))) = compose(g,domain(g)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8730]) ).
tcf(c_8795,plain,
( ( compose(g,compose(codomain(h),domain(h))) = compose(g,domain(h)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8789,c_446]) ).
tcf(c_8812,plain,
! [X0: $i] :
( ( compose(codomain(b),compose(codomain(b),domain(X0))) = compose(codomain(b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_8356]) ).
tcf(c_8835,plain,
( ( compose(domain(h),compose(domain(h),compose(a,b))) = compose(domain(h),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_8403]) ).
tcf(c_8873,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(codomain(h),domain(X0))) = compose(codomain(h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_8406]) ).
tcf(c_8937,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),b) = compose(X0,compose(compose(h,a),b)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1031]) ).
tcf(c_8938,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),a) = compose(X0,compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_1031]) ).
tcf(c_8939,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),compose(a,b)) = compose(X0,compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_1031]) ).
tcf(c_8940,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(h,a)),codomain(X0)) = compose(X1,compose(compose(h,a),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_1031]) ).
tcf(c_8941,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(h,a)),domain(X1)) = compose(X0,compose(compose(h,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1031]) ).
tcf(c_8942,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),g) = compose(X0,compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1031]) ).
tcf(c_8943,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),compose(h,compose(a,b))) = compose(X0,compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_1031]) ).
tcf(c_8944,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),compose(g,a)) = compose(X0,compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_1031]) ).
tcf(c_8945,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),compose(h,a)) = compose(X0,compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_1031]) ).
tcf(c_8946,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),b) = compose(X0,compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8937,c_6702]) ).
tcf(c_9004,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7757]) ).
tcf(c_9005,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7757]) ).
tcf(c_9006,plain,
( ( compose(compose(g,a),compose(codomain(compose(g,a)),compose(a,b))) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_7757]) ).
tcf(c_9007,plain,
( ( compose(compose(h,a),compose(codomain(compose(h,a)),compose(a,b))) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_7757]) ).
tcf(c_9013,plain,
( ( compose(compose(h,a),compose(codomain(a),compose(a,b))) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9007,c_506]) ).
tcf(c_9016,plain,
( ( compose(compose(g,a),compose(codomain(a),compose(a,b))) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9006,c_502]) ).
tcf(c_9019,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9004,c_231]) ).
tcf(c_9022,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9005,c_829]) ).
tcf(c_9087,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),b) = compose(X0,compose(compose(g,a),b)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1060]) ).
tcf(c_9088,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),a) = compose(X0,compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_1060]) ).
tcf(c_9089,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),compose(a,b)) = compose(X0,compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_1060]) ).
tcf(c_9090,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(g,a)),codomain(X0)) = compose(X1,compose(compose(g,a),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_1060]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(g,a)),domain(X1)) = compose(X0,compose(compose(g,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1060]) ).
tcf(c_9092,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),g) = compose(X0,compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1060]) ).
tcf(c_9093,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),compose(h,compose(a,b))) = compose(X0,compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_1060]) ).
tcf(c_9094,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),compose(g,a)) = compose(X0,compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_1060]) ).
tcf(c_9095,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),compose(h,a)) = compose(X0,compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_1060]) ).
tcf(c_9096,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),b) = compose(X0,compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9087,c_6274]) ).
tcf(c_9145,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),domain(b))) = compose(domain(X0),domain(b)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_8259]) ).
tcf(c_9146,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),domain(a))) = compose(domain(X0),domain(a)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_8259]) ).
tcf(c_9159,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),codomain(h))) = compose(domain(X0),codomain(h)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9146,c_195]) ).
tcf(c_9162,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),codomain(a))) = compose(domain(X0),codomain(a)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_9145,c_70]) ).
tcf(c_9189,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X1),compose(domain(X1),codomain(domain(X0)))) = compose(domain(X1),codomain(domain(X0))) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_8395]) ).
tcf(c_9191,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),codomain(compose(a,b)))) = compose(domain(X0),codomain(compose(a,b))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_8395]) ).
tcf(c_9198,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(codomain(X1)),compose(domain(codomain(X1)),codomain(X0))) = compose(domain(codomain(X1)),codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_8395]) ).
tcf(c_9208,plain,
! [X0: $i,X1: $i] :
( ( compose(domain(X1),compose(domain(X1),domain(X0))) = compose(domain(X1),domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_9189,c_63]) ).
tcf(c_9217,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),codomain(b))) = compose(domain(X0),codomain(b)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_9191,c_231]) ).
tcf(c_9345,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X0) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_1098]) ).
tcf(c_9346,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),X0) = compose(compose(h,compose(a,b)),compose(compose(g,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_1098]) ).
tcf(c_9347,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),X0) = compose(compose(h,compose(a,b)),compose(compose(h,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_1098]) ).
tcf(c_9348,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),b) = compose(compose(h,compose(a,b)),compose(X0,b)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1098]) ).
tcf(c_9349,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),a) = compose(compose(h,compose(a,b)),compose(X0,a)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_1098]) ).
tcf(c_9350,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),compose(a,b)) = compose(compose(h,compose(a,b)),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_1098]) ).
tcf(c_9351,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),codomain(X1)) = compose(compose(h,compose(a,b)),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_1098]) ).
tcf(c_9352,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),domain(X1)) = compose(compose(h,compose(a,b)),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_1098]) ).
tcf(c_9353,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),g) = compose(compose(h,compose(a,b)),compose(X0,g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_1098]) ).
tcf(c_9354,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_1098]) ).
tcf(c_9355,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),compose(g,a)) = compose(compose(h,compose(a,b)),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_1098]) ).
tcf(c_9356,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),compose(h,a)) = compose(compose(h,compose(a,b)),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_1098]) ).
tcf(c_9383,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),X0) = compose(compose(h,compose(a,b)),compose(compose(h,a),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_9347,c_867]) ).
tcf(c_9387,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),X0) = compose(compose(h,compose(a,b)),compose(compose(g,a),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_9346,c_868]) ).
tcf(c_9395,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X0) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_9345,c_282]) ).
tcf(c_9525,plain,
( ( codomain(compose(a,b)) = codomain(h) )
| ( compose(codomain(b),a) != a )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_4606]) ).
tcf(c_9535,plain,
( ( codomain(b) = codomain(h) )
| ( codomain(a) != codomain(b) )
| ( compose(codomain(b),a) != a ) ),
inference(light_normalisation,[status(thm)],[c_9525,c_231]) ).
tcf(c_9550,plain,
( ( codomain(compose(a,b)) = codomain(a) )
| ( compose(codomain(b),b) != b )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_4961]) ).
tcf(c_9558,plain,
( ( codomain(a) = codomain(b) )
| ( codomain(b) != codomain(h) )
| ( compose(codomain(b),b) != b ) ),
inference(light_normalisation,[status(thm)],[c_9550,c_231]) ).
tcf(c_9613,plain,
( ( compose(compose(g,a),domain(g)) = compose(g,compose(a,domain(g))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_6267]) ).
tcf(c_9618,plain,
( ( compose(compose(g,a),domain(h)) = compose(g,compose(a,domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9613,c_446]) ).
tcf(c_9637,plain,
( ( compose(compose(h,a),domain(g)) = compose(h,compose(a,domain(g))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_6706]) ).
tcf(c_9642,plain,
( ( compose(compose(h,a),domain(h)) = compose(h,compose(a,domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9637,c_446]) ).
tcf(c_9681,plain,
( ( compose(compose(a,b),domain(g)) = compose(a,compose(b,domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7347]) ).
tcf(c_9685,plain,
( ( compose(compose(a,b),domain(h)) = compose(a,compose(b,domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9681,c_446]) ).
tcf(c_9707,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),b) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_8946]) ).
tcf(c_9708,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),b) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_8946]) ).
tcf(c_9709,plain,
( ( compose(compose(compose(a,b),compose(h,a)),b) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8946]) ).
tcf(c_9710,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),b) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_8946]) ).
tcf(c_9711,plain,
( ( compose(compose(compose(g,a),compose(h,a)),b) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_8946]) ).
tcf(c_9712,plain,
( ( compose(compose(compose(h,a),compose(h,a)),b) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_8946]) ).
tcf(c_9731,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),b) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_9096]) ).
tcf(c_9732,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),b) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9096]) ).
tcf(c_9733,plain,
( ( compose(compose(compose(a,b),compose(g,a)),b) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9096]) ).
tcf(c_9734,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),b) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_9096]) ).
tcf(c_9735,plain,
( ( compose(compose(compose(g,a),compose(g,a)),b) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_9096]) ).
tcf(c_9736,plain,
( ( compose(compose(compose(h,a),compose(g,a)),b) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_9096]) ).
tcf(c_9859,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),compose(g,a))) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7762]) ).
tcf(c_9860,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7762]) ).
tcf(c_9861,plain,
( ( compose(compose(g,a),compose(codomain(compose(g,a)),compose(g,a))) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_7762]) ).
tcf(c_9862,plain,
( ( compose(compose(h,a),compose(codomain(compose(h,a)),compose(g,a))) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_7762]) ).
tcf(c_9865,plain,
( ( compose(compose(h,a),compose(codomain(a),compose(g,a))) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9862,c_506]) ).
tcf(c_9868,plain,
( ( compose(compose(g,a),compose(codomain(a),compose(g,a))) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9861,c_502]) ).
tcf(c_9871,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(g,a))) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9859,c_231]) ).
tcf(c_9874,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9860,c_829]) ).
tcf(c_9883,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),compose(h,a))) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7763]) ).
tcf(c_9884,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7763]) ).
tcf(c_9885,plain,
( ( compose(compose(g,a),compose(codomain(compose(g,a)),compose(h,a))) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_7763]) ).
tcf(c_9886,plain,
( ( compose(compose(h,a),compose(codomain(compose(h,a)),compose(h,a))) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_7763]) ).
tcf(c_9889,plain,
( ( compose(compose(h,a),compose(codomain(a),compose(h,a))) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9886,c_506]) ).
tcf(c_9892,plain,
( ( compose(compose(g,a),compose(codomain(a),compose(h,a))) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9885,c_502]) ).
tcf(c_9895,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(h,a))) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9883,c_231]) ).
tcf(c_9898,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_9884,c_829]) ).
tcf(c_9918,plain,
( ( compose(compose(h,a),compose(codomain(a),compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7786]) ).
tcf(c_9940,plain,
( ( compose(compose(g,a),compose(codomain(a),compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7789]) ).
tcf(c_9956,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(h,compose(a,b)))) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7792]) ).
tcf(c_10009,plain,
! [X0: $i,X1: $i] :
( ( compose(codomain(X1),compose(codomain(X1),codomain(X0))) = compose(codomain(X1),codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_9198,c_64]) ).
tcf(c_10200,plain,
( ( compose(compose(compose(a,b),a),b) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3214]) ).
tcf(c_10201,plain,
( ( compose(compose(compose(a,b),a),a) = compose(compose(a,b),compose(a,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3214]) ).
tcf(c_10202,plain,
( ( compose(compose(compose(a,b),a),compose(a,b)) = compose(compose(a,b),compose(a,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3214]) ).
tcf(c_10203,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),a),codomain(X0)) = compose(compose(a,b),compose(a,codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_3214]) ).
tcf(c_10204,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),a),domain(X0)) = compose(compose(a,b),compose(a,domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_3214]) ).
tcf(c_10205,plain,
( ( compose(compose(compose(a,b),a),g) = compose(compose(a,b),compose(a,g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3214]) ).
tcf(c_10206,plain,
( ( compose(compose(compose(a,b),a),compose(h,compose(a,b))) = compose(compose(a,b),compose(a,compose(h,compose(a,b)))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3214]) ).
tcf(c_10207,plain,
( ( compose(compose(compose(a,b),a),compose(g,a)) = compose(compose(a,b),compose(a,compose(g,a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3214]) ).
tcf(c_10208,plain,
( ( compose(compose(compose(a,b),a),compose(h,a)) = compose(compose(a,b),compose(a,compose(h,a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3214]) ).
tcf(c_10336,plain,
( ( compose(compose(compose(h,compose(a,b)),a),b) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3215]) ).
tcf(c_10337,plain,
( ( compose(compose(compose(h,compose(a,b)),a),a) = compose(compose(h,compose(a,b)),compose(a,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3215]) ).
tcf(c_10338,plain,
( ( compose(compose(compose(h,compose(a,b)),a),compose(a,b)) = compose(compose(h,compose(a,b)),compose(a,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3215]) ).
tcf(c_10339,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),a),codomain(X0)) = compose(compose(h,compose(a,b)),compose(a,codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_3215]) ).
tcf(c_10340,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),a),domain(X0)) = compose(compose(h,compose(a,b)),compose(a,domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_3215]) ).
tcf(c_10341,plain,
( ( compose(compose(compose(h,compose(a,b)),a),g) = compose(compose(h,compose(a,b)),compose(a,g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3215]) ).
tcf(c_10342,plain,
( ( compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,compose(h,compose(a,b)))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3215]) ).
tcf(c_10343,plain,
( ( compose(compose(compose(h,compose(a,b)),a),compose(g,a)) = compose(compose(h,compose(a,b)),compose(a,compose(g,a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3215]) ).
tcf(c_10344,plain,
( ( compose(compose(compose(h,compose(a,b)),a),compose(h,a)) = compose(compose(h,compose(a,b)),compose(a,compose(h,a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3215]) ).
tcf(c_10426,plain,
( ( compose(compose(h,compose(a,b)),b) = compose(h,compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3807]) ).
tcf(c_10427,plain,
( ( compose(compose(h,compose(a,b)),a) = compose(h,compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3807]) ).
tcf(c_10428,plain,
( ( compose(compose(h,compose(a,b)),compose(a,b)) = compose(h,compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3807]) ).
tcf(c_10429,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),codomain(X0)) = compose(h,compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_3807]) ).
tcf(c_10430,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),domain(X0)) = compose(h,compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_3807]) ).
tcf(c_10431,plain,
( ( compose(compose(h,compose(a,b)),g) = compose(h,compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3807]) ).
tcf(c_10432,plain,
( ( compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(h,compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3807]) ).
tcf(c_10433,plain,
( ( compose(compose(h,compose(a,b)),compose(g,a)) = compose(h,compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3807]) ).
tcf(c_10434,plain,
( ( compose(compose(h,compose(a,b)),compose(h,a)) = compose(h,compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3807]) ).
tcf(c_10483,plain,
( ( compose(g,a) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( compose(h,compose(a,b)) != b ) ),
inference(light_normalisation,[status(thm)],[c_4884,c_6274]) ).
tcf(c_10493,plain,
( ( compose(h,a) = codomain(a) )
| ( codomain(a) != codomain(h) )
| ( compose(h,compose(a,b)) != b ) ),
inference(light_normalisation,[status(thm)],[c_4885,c_6702]) ).
tcf(c_10527,plain,
( ( compose(compose(h,compose(a,b)),codomain(g)) = compose(h,compose(compose(a,b),codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_10429]) ).
tcf(c_10537,plain,
( ( compose(compose(h,compose(a,b)),codomain(h)) = compose(h,compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10527,c_110]) ).
tcf(c_10597,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),b) = compose(domain(X0),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_5141]) ).
tcf(c_10598,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),a) = compose(domain(X0),compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5141]) ).
tcf(c_10599,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(a,b)) = compose(domain(X0),compose(g,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5141]) ).
tcf(c_10600,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),g),codomain(X0)) = compose(domain(X1),compose(g,codomain(X0))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5141]) ).
tcf(c_10601,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),g),domain(X0)) = compose(domain(X1),compose(g,domain(X0))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5141]) ).
tcf(c_10602,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),g) = compose(domain(X0),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5141]) ).
tcf(c_10603,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(h,compose(a,b))) = compose(domain(X0),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5141]) ).
tcf(c_10604,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(g,a)) = compose(domain(X0),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5141]) ).
tcf(c_10605,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(h,a)) = compose(domain(X0),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5141]) ).
tcf(c_10608,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(a,b)) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10599,c_75]) ).
tcf(c_10646,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),compose(a,b)) = compose(domain(codomain(X0)),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_10608]) ).
tcf(c_10659,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(a,b)) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10646,c_64]) ).
tcf(c_10671,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),a) = compose(domain(codomain(X0)),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_10598]) ).
tcf(c_10684,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),a) = compose(codomain(X0),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10671,c_64]) ).
tcf(c_10748,plain,
! [X0: $i] :
( ( compose(compose(domain(b),b),X0) = compose(domain(b),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7205]) ).
tcf(c_10749,plain,
! [X0: $i] :
( ( compose(compose(domain(a),b),X0) = compose(domain(a),compose(b,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_7205]) ).
tcf(c_10753,plain,
! [X0: $i] :
( ( compose(compose(domain(g),b),X0) = compose(domain(g),compose(b,X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_7205]) ).
tcf(c_10757,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(b,X0)) = compose(b,X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10748,c_70,c_97]) ).
tcf(c_10760,plain,
! [X0: $i] :
( ( compose(compose(domain(h),b),X0) = compose(domain(h),compose(b,X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10753,c_446]) ).
tcf(c_10764,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),b),X0) = compose(codomain(h),compose(b,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10749,c_195]) ).
tcf(c_10781,plain,
( ( compose(codomain(a),compose(b,b)) = compose(b,b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_10757]) ).
tcf(c_10782,plain,
( ( compose(codomain(a),compose(b,a)) = compose(b,a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_10757]) ).
tcf(c_10783,plain,
( ( compose(codomain(a),compose(b,compose(a,b))) = compose(b,compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_10757]) ).
tcf(c_10784,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(b,codomain(X0))) = compose(b,codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_10757]) ).
tcf(c_10785,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(b,domain(X0))) = compose(b,domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_10757]) ).
tcf(c_10786,plain,
( ( compose(codomain(a),compose(b,g)) = compose(b,g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10757]) ).
tcf(c_10787,plain,
( ( compose(codomain(a),compose(b,compose(h,compose(a,b)))) = compose(b,compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_10757]) ).
tcf(c_10788,plain,
( ( compose(codomain(a),compose(b,compose(g,a))) = compose(b,compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_10757]) ).
tcf(c_10789,plain,
( ( compose(codomain(a),compose(b,compose(h,a))) = compose(b,compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_10757]) ).
tcf(c_10826,plain,
( ( compose(codomain(a),compose(b,codomain(g))) = compose(b,codomain(g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_10784]) ).
tcf(c_10835,plain,
( ( compose(codomain(a),compose(b,codomain(h))) = compose(b,codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10826,c_110]) ).
tcf(c_10854,plain,
( ( compose(codomain(a),compose(b,domain(g))) = compose(b,domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10785]) ).
tcf(c_10858,plain,
( ( compose(codomain(a),compose(b,domain(h))) = compose(b,domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10854,c_446]) ).
tcf(c_10908,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),b) = compose(domain(X0),compose(b,b)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7265]) ).
tcf(c_10909,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),b) = compose(domain(X0),compose(a,b)) )
| ( codomain(a) != codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7265]) ).
tcf(c_10910,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),b) = compose(domain(X0),compose(compose(a,b),b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_73,c_7265]) ).
tcf(c_10911,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),b) = compose(domain(X1),compose(codomain(X0),b)) )
| ( codomain(X0) != domain(X1) )
| ( codomain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7265]) ).
tcf(c_10912,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),b) = compose(domain(X1),compose(domain(X0),b)) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_7265]) ).
tcf(c_10914,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),b) = compose(domain(X0),compose(compose(h,compose(a,b)),b)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_282,c_7265]) ).
tcf(c_10917,plain,
! [X0: $i] :
( ( compose(compose(domain(b),X0),b) = compose(domain(b),compose(X0,b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7265]) ).
tcf(c_10918,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),b) = compose(domain(a),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_7265]) ).
tcf(c_10920,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),b) = compose(domain(codomain(X1)),compose(X0,b)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7265]) ).
tcf(c_10926,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),b) = compose(domain(X0),compose(X0,b)) )
| ( codomain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_7265]) ).
tcf(c_10927,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,b)) = compose(X0,b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10926,c_65]) ).
tcf(c_10934,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),b) = compose(codomain(h),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10918,c_195]) ).
tcf(c_10938,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),b) = compose(codomain(a),compose(X0,b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10917,c_70]) ).
tcf(c_10943,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),b) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution_simp,[status(thm)],[c_10909]) ).
tcf(c_10955,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),b) = compose(domain(X1),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_10912,c_63]) ).
tcf(c_10959,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),b) = compose(domain(X1),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_10911,c_95]) ).
tcf(c_10970,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),b) = compose(domain(X0),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10910,c_231]) ).
tcf(c_10975,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),b) = compose(domain(X0),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10914,c_829]) ).
tcf(c_11821,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(a)),X0) = compose(g,compose(codomain(a),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_110,c_7639]) ).
tcf(c_11822,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(a)),X1) = compose(domain(X0),compose(codomain(a),X1)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7639]) ).
tcf(c_11823,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(a)),X1) = compose(codomain(X0),compose(codomain(a),X1)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_7639]) ).
tcf(c_11824,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(a)),X0) = compose(compose(a,b),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_7639]) ).
tcf(c_11825,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(a)),X0) = compose(compose(h,compose(a,b)),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_7639]) ).
tcf(c_11828,plain,
! [X0: $i] :
( ( compose(compose(a,codomain(a)),X0) = compose(a,compose(codomain(a),X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_7639]) ).
tcf(c_11901,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,codomain(domain(X0))),X1) = compose(g,compose(codomain(domain(X0)),X1)) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_7676]) ).
tcf(c_11903,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(compose(a,b))),X0) = compose(g,compose(codomain(compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7676]) ).
tcf(c_11907,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),b) = compose(g,compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7676]) ).
tcf(c_11908,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),a) = compose(g,compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7676]) ).
tcf(c_11909,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(a,b)) = compose(g,compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7676]) ).
tcf(c_11910,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,codomain(X0)),codomain(X1)) = compose(g,compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7676]) ).
tcf(c_11911,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,codomain(X0)),domain(X1)) = compose(g,compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7676]) ).
tcf(c_11912,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),g) = compose(g,compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7676]) ).
tcf(c_11913,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(h,compose(a,b))) = compose(g,compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7676]) ).
tcf(c_11914,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(g,a)) = compose(g,compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7676]) ).
tcf(c_11915,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(h,a)) = compose(g,compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7676]) ).
tcf(c_11933,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,domain(X0)),X1) = compose(g,compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_11901,c_63]) ).
tcf(c_11945,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(b)),X0) = compose(g,compose(codomain(b),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11903,c_231]) ).
tcf(c_12005,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),compose(a,b)) = compose(g,compose(codomain(domain(X0)),compose(a,b))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_11909]) ).
tcf(c_12015,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(a,b)) = compose(g,compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12005,c_63]) ).
tcf(c_12035,plain,
( ( compose(domain(g),compose(g,b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_10927]) ).
tcf(c_12038,plain,
( ( compose(domain(compose(a,b)),compose(compose(a,b),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_10927]) ).
tcf(c_12039,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),b)) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_10927]) ).
tcf(c_12044,plain,
( ( compose(domain(h),compose(g,b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12035,c_446]) ).
tcf(c_12049,plain,
( ( compose(codomain(h),compose(compose(a,b),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12038,c_73]) ).
tcf(c_12052,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),b)) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12039,c_282]) ).
tcf(c_12070,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),a),b) = compose(domain(codomain(X0)),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_10943]) ).
tcf(c_12072,plain,
( ( compose(compose(domain(g),a),b) = compose(domain(g),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10943]) ).
tcf(c_12078,plain,
( ( compose(compose(domain(h),a),b) = compose(domain(h),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12072,c_446]) ).
tcf(c_12085,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),b) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12070,c_64]) ).
tcf(c_12092,plain,
! [X0: $i] :
( ( compose(a,compose(codomain(a),X0)) = compose(a,X0) )
| ( domain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_11828,c_66]) ).
tcf(c_12102,plain,
! [X0: $i] :
( ( compose(a,compose(codomain(a),codomain(X0))) = compose(a,codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_12092]) ).
tcf(c_12103,plain,
! [X0: $i] :
( ( compose(a,compose(codomain(a),domain(X0))) = compose(a,domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_12092]) ).
tcf(c_12222,plain,
! [X0: $i] :
( ( compose(compose(domain(a),compose(a,b)),X0) = compose(domain(a),compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_3799]) ).
tcf(c_12226,plain,
! [X0: $i] :
( ( compose(compose(domain(g),compose(a,b)),X0) = compose(domain(g),compose(compose(a,b),X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_3799]) ).
tcf(c_12230,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(compose(a,b),X0)) = compose(compose(a,b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12222,c_108,c_195]) ).
tcf(c_12234,plain,
! [X0: $i] :
( ( compose(compose(domain(h),compose(a,b)),X0) = compose(domain(h),compose(compose(a,b),X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12226,c_446]) ).
tcf(c_12282,plain,
( ( compose(compose(g,domain(g)),compose(a,b)) = compose(g,compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12015]) ).
tcf(c_12288,plain,
( ( compose(compose(g,domain(h)),compose(a,b)) = compose(g,compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12282,c_446]) ).
tcf(c_12309,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),a) = compose(g,compose(codomain(domain(X0)),a)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_11908]) ).
tcf(c_12319,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),a) = compose(g,compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12309,c_63]) ).
tcf(c_12355,plain,
( ( compose(compose(g,domain(g)),a) = compose(g,compose(domain(g),a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12319]) ).
tcf(c_12361,plain,
( ( compose(compose(g,domain(h)),a) = compose(g,compose(domain(h),a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12355,c_446]) ).
tcf(c_12386,plain,
( ( compose(codomain(h),compose(compose(a,b),a)) = compose(compose(a,b),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_12230]) ).
tcf(c_12387,plain,
( ( compose(codomain(h),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_12230]) ).
tcf(c_12388,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(compose(a,b),codomain(X0))) = compose(compose(a,b),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_12230]) ).
tcf(c_12389,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(compose(a,b),domain(X0))) = compose(compose(a,b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_12230]) ).
tcf(c_12390,plain,
( ( compose(codomain(h),compose(compose(a,b),g)) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12230]) ).
tcf(c_12391,plain,
( ( compose(codomain(h),compose(compose(a,b),compose(h,compose(a,b)))) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_12230]) ).
tcf(c_12392,plain,
( ( compose(codomain(h),compose(compose(a,b),compose(g,a))) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_12230]) ).
tcf(c_12393,plain,
( ( compose(codomain(h),compose(compose(a,b),compose(h,a))) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_12230]) ).
tcf(c_12465,plain,
( ( compose(codomain(h),compose(compose(a,b),codomain(g))) = compose(compose(a,b),codomain(g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_12388]) ).
tcf(c_12475,plain,
( ( compose(codomain(h),compose(compose(a,b),codomain(h))) = compose(compose(a,b),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12465,c_110]) ).
tcf(c_12531,plain,
( ( compose(compose(h,compose(a,b)),b) = compose(compose(h,a),compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7214]) ).
tcf(c_12532,plain,
( ( compose(compose(h,compose(a,b)),a) = compose(compose(h,a),compose(b,a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7214]) ).
tcf(c_12533,plain,
( ( compose(compose(h,compose(a,b)),compose(a,b)) = compose(compose(h,a),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7214]) ).
tcf(c_12534,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),codomain(X0)) = compose(compose(h,a),compose(b,codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_7214]) ).
tcf(c_12535,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),domain(X0)) = compose(compose(h,a),compose(b,domain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_7214]) ).
tcf(c_12536,plain,
( ( compose(compose(h,compose(a,b)),g) = compose(compose(h,a),compose(b,g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7214]) ).
tcf(c_12537,plain,
( ( compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(compose(h,a),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7214]) ).
tcf(c_12538,plain,
( ( compose(compose(h,compose(a,b)),compose(g,a)) = compose(compose(h,a),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7214]) ).
tcf(c_12539,plain,
( ( compose(compose(h,compose(a,b)),compose(h,a)) = compose(compose(h,a),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7214]) ).
tcf(c_12600,plain,
( ( compose(compose(h,compose(a,b)),b) = compose(compose(g,a),compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7217]) ).
tcf(c_12601,plain,
( ( compose(compose(h,compose(a,b)),a) = compose(compose(g,a),compose(b,a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7217]) ).
tcf(c_12602,plain,
( ( compose(compose(h,compose(a,b)),compose(a,b)) = compose(compose(g,a),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7217]) ).
tcf(c_12603,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),codomain(X0)) = compose(compose(g,a),compose(b,codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_7217]) ).
tcf(c_12604,plain,
! [X0: $i] :
( ( compose(compose(h,compose(a,b)),domain(X0)) = compose(compose(g,a),compose(b,domain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_7217]) ).
tcf(c_12605,plain,
( ( compose(compose(h,compose(a,b)),g) = compose(compose(g,a),compose(b,g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7217]) ).
tcf(c_12606,plain,
( ( compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(compose(g,a),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7217]) ).
tcf(c_12607,plain,
( ( compose(compose(h,compose(a,b)),compose(g,a)) = compose(compose(g,a),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7217]) ).
tcf(c_12608,plain,
( ( compose(compose(h,compose(a,b)),compose(h,a)) = compose(compose(g,a),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7217]) ).
tcf(c_12664,plain,
( ( compose(compose(compose(a,b),compose(a,b)),b) = compose(compose(a,b),compose(compose(a,b),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3801]) ).
tcf(c_12665,plain,
( ( compose(compose(compose(a,b),compose(a,b)),a) = compose(compose(a,b),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3801]) ).
tcf(c_12666,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(a,b)) = compose(compose(a,b),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3801]) ).
tcf(c_12667,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),codomain(X0)) = compose(compose(a,b),compose(compose(a,b),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_3801]) ).
tcf(c_12668,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),domain(X0)) = compose(compose(a,b),compose(compose(a,b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_3801]) ).
tcf(c_12669,plain,
( ( compose(compose(compose(a,b),compose(a,b)),g) = compose(compose(a,b),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3801]) ).
tcf(c_12670,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3801]) ).
tcf(c_12671,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(g,a)) = compose(compose(a,b),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3801]) ).
tcf(c_12672,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(h,a)) = compose(compose(a,b),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3801]) ).
tcf(c_12712,plain,
( ( compose(compose(h,compose(a,b)),codomain(g)) = compose(compose(h,a),compose(b,codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_12534]) ).
tcf(c_12722,plain,
( ( compose(compose(h,compose(a,b)),codomain(h)) = compose(compose(h,a),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12712,c_110]) ).
tcf(c_12736,plain,
( ( compose(compose(h,compose(a,b)),codomain(g)) = compose(compose(g,a),compose(b,codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_12603]) ).
tcf(c_12746,plain,
( ( compose(compose(h,compose(a,b)),codomain(h)) = compose(compose(g,a),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12736,c_110]) ).
tcf(c_12794,plain,
( ( compose(h,a) = compose(g,a) )
| ( codomain(compose(h,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_6702,c_6318]) ).
tcf(c_12795,plain,
( ( compose(h,a) = compose(g,a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12794,c_506]) ).
tcf(c_12842,plain,
( ( compose(compose(h,a),compose(codomain(a),codomain(g))) = compose(compose(h,a),codomain(g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_8168]) ).
tcf(c_12845,plain,
( ( compose(compose(h,a),compose(codomain(a),codomain(compose(a,b)))) = compose(compose(h,a),codomain(compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_8168]) ).
tcf(c_12853,plain,
( ( compose(compose(h,a),compose(codomain(a),codomain(h))) = compose(compose(h,a),codomain(h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12842,c_110]) ).
tcf(c_12858,plain,
( ( compose(compose(h,a),compose(codomain(a),codomain(b))) = compose(compose(h,a),codomain(b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12845,c_231]) ).
tcf(c_12868,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),b) = compose(compose(h,compose(a,b)),compose(compose(a,b),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_3802]) ).
tcf(c_12869,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),a) = compose(compose(h,compose(a,b)),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_3802]) ).
tcf(c_12870,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_3802]) ).
tcf(c_12871,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_3802]) ).
tcf(c_12872,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(a,b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_3802]) ).
tcf(c_12873,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),g) = compose(compose(h,compose(a,b)),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_3802]) ).
tcf(c_12874,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_3802]) ).
tcf(c_12875,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_3802]) ).
tcf(c_12876,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_3802]) ).
tcf(c_12973,plain,
( ( compose(compose(g,a),compose(codomain(a),codomain(g))) = compose(compose(g,a),codomain(g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_8171]) ).
tcf(c_12976,plain,
( ( compose(compose(g,a),compose(codomain(a),codomain(compose(a,b)))) = compose(compose(g,a),codomain(compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_8171]) ).
tcf(c_12984,plain,
( ( compose(compose(g,a),compose(codomain(a),codomain(h))) = compose(compose(g,a),codomain(h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12973,c_110]) ).
tcf(c_12989,plain,
( ( compose(compose(g,a),compose(codomain(a),codomain(b))) = compose(compose(g,a),codomain(b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12976,c_231]) ).
tcf(c_13021,plain,
( ( compose(compose(a,b),compose(codomain(b),codomain(g))) = compose(compose(a,b),codomain(g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_8174]) ).
tcf(c_13031,plain,
( ( compose(compose(a,b),compose(codomain(b),codomain(h))) = compose(compose(a,b),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13021,c_110]) ).
tcf(c_13050,plain,
( ( compose(compose(h,a),compose(codomain(a),domain(g))) = compose(compose(h,a),domain(g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8265]) ).
tcf(c_13055,plain,
( ( compose(compose(h,a),compose(codomain(a),domain(h))) = compose(compose(h,a),domain(h)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13050,c_446]) ).
tcf(c_13074,plain,
( ( compose(compose(g,a),compose(codomain(a),domain(g))) = compose(compose(g,a),domain(g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8268]) ).
tcf(c_13079,plain,
( ( compose(compose(g,a),compose(codomain(a),domain(h))) = compose(compose(g,a),domain(h)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13074,c_446]) ).
tcf(c_13098,plain,
( ( compose(compose(a,b),compose(codomain(b),domain(g))) = compose(compose(a,b),domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8271]) ).
tcf(c_13102,plain,
( ( compose(compose(a,b),compose(codomain(b),domain(h))) = compose(compose(a,b),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13098,c_446]) ).
tcf(c_13246,plain,
( ( compose(compose(domain(a),b),b) = compose(domain(a),compose(b,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_10908]) ).
tcf(c_13248,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),b) = compose(domain(codomain(X0)),compose(b,b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_10908]) ).
tcf(c_13250,plain,
( ( compose(compose(domain(g),b),b) = compose(domain(g),compose(b,b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_10908]) ).
tcf(c_13255,plain,
( ( compose(compose(domain(h),b),b) = compose(domain(h),compose(b,b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13250,c_446]) ).
tcf(c_13259,plain,
( ( compose(compose(codomain(h),b),b) = compose(codomain(h),compose(b,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13246,c_195]) ).
tcf(c_13264,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),b) = compose(codomain(X0),compose(b,b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13248,c_64]) ).
tcf(c_13285,plain,
( ( compose(codomain(h),compose(compose(a,b),domain(g))) = compose(compose(a,b),domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12389]) ).
tcf(c_13289,plain,
( ( compose(codomain(h),compose(compose(a,b),domain(h))) = compose(compose(a,b),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13285,c_446]) ).
tcf(c_13321,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),b) = compose(codomain(a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_10938]) ).
tcf(c_13322,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),b) = compose(codomain(a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_10938]) ).
tcf(c_13339,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),b) = compose(codomain(a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13322,c_64]) ).
tcf(c_13342,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),b) = compose(codomain(a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13321,c_94]) ).
tcf(c_13360,plain,
( ( compose(compose(codomain(a),domain(a)),b) = compose(codomain(a),compose(domain(a),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_13342]) ).
tcf(c_13364,plain,
( ( compose(compose(codomain(a),domain(g)),b) = compose(codomain(a),compose(domain(g),b)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13342]) ).
tcf(c_13369,plain,
( ( compose(compose(codomain(a),domain(h)),b) = compose(codomain(a),compose(domain(h),b)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13364,c_446]) ).
tcf(c_13372,plain,
( ( compose(compose(codomain(a),codomain(h)),b) = compose(codomain(a),compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13360,c_195]) ).
tcf(c_13394,plain,
( ( compose(compose(codomain(a),codomain(compose(a,b))),b) = compose(codomain(a),compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_13339]) ).
tcf(c_13405,plain,
( ( compose(compose(codomain(a),codomain(b)),b) = compose(codomain(a),compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13394,c_231]) ).
tcf(c_13446,plain,
( ( compose(compose(h,compose(a,b)),domain(g)) = compose(g,compose(compose(a,b),domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7053]) ).
tcf(c_13450,plain,
( ( compose(compose(h,compose(a,b)),domain(h)) = compose(g,compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13446,c_446]) ).
tcf(c_13470,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),b) = compose(g,compose(codomain(domain(X0)),b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_11907]) ).
tcf(c_13472,plain,
( ( compose(compose(g,codomain(compose(a,b))),b) = compose(g,compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_11907]) ).
tcf(c_13476,plain,
( ( compose(compose(g,codomain(a)),b) = compose(g,compose(codomain(a),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_11907]) ).
tcf(c_13477,plain,
( ( compose(compose(g,codomain(a)),b) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13476,c_97]) ).
tcf(c_13485,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),b) = compose(g,compose(domain(X0),b)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13470,c_63]) ).
tcf(c_13489,plain,
( ( compose(compose(g,codomain(b)),b) = compose(g,compose(codomain(b),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13472,c_231]) ).
tcf(c_13502,plain,
! [X0: $i] :
( ( compose(compose(g,domain(a)),X0) = compose(g,compose(domain(a),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_11933]) ).
tcf(c_13506,plain,
! [X0: $i] :
( ( compose(compose(g,domain(g)),X0) = compose(g,compose(domain(g),X0)) )
| ( codomain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_11933]) ).
tcf(c_13513,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,domain(X1)),codomain(X0)) = compose(g,compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_11933]) ).
tcf(c_13514,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,domain(X0)),domain(X1)) = compose(g,compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_11933]) ).
tcf(c_13515,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),g) = compose(g,compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_11933]) ).
tcf(c_13516,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(h,compose(a,b))) = compose(g,compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_11933]) ).
tcf(c_13517,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(g,a)) = compose(g,compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_11933]) ).
tcf(c_13518,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(h,a)) = compose(g,compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_11933]) ).
tcf(c_13519,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),X0) = compose(g,compose(domain(X0),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_11933]) ).
tcf(c_13520,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),X0) = compose(g,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13519,c_65]) ).
tcf(c_13526,plain,
! [X0: $i] :
( ( compose(compose(g,domain(h)),X0) = compose(g,compose(domain(h),X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13506,c_446]) ).
tcf(c_13530,plain,
! [X0: $i] :
( ( compose(compose(g,domain(a)),X0) = compose(g,compose(domain(a),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(ground_joinability,[status(thm)],[c_13502,c_195]) ).
tcf(c_13531,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),X0)) = compose(g,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13530,c_112,c_195]) ).
tcf(c_13574,plain,
( ( compose(compose(codomain(compose(a,b)),b),b) = compose(codomain(compose(a,b)),compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_13264]) ).
tcf(c_13582,plain,
( ( compose(compose(codomain(b),b),b) = compose(codomain(b),compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13574,c_231]) ).
tcf(c_13600,plain,
( ( compose(compose(g,domain(g)),b) = compose(g,compose(domain(g),b)) )
| ( codomain(h) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13485]) ).
tcf(c_13605,plain,
( ( compose(compose(g,domain(h)),b) = compose(g,compose(domain(h),b)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13600,c_446]) ).
tcf(c_13629,plain,
! [X0: $i] :
( ( compose(compose(g,domain(codomain(X0))),codomain(X0)) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_13520]) ).
tcf(c_13630,plain,
! [X0: $i] :
( ( compose(compose(g,domain(domain(X0))),domain(X0)) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_13520]) ).
tcf(c_13631,plain,
( ( compose(compose(g,domain(g)),g) = compose(g,g) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13520]) ).
tcf(c_13632,plain,
( ( compose(compose(g,domain(compose(h,compose(a,b)))),compose(h,compose(a,b))) = compose(g,compose(h,compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_13520]) ).
tcf(c_13633,plain,
( ( compose(compose(g,domain(compose(g,a))),compose(g,a)) = compose(g,compose(g,a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_13520]) ).
tcf(c_13634,plain,
( ( compose(compose(g,domain(compose(h,a))),compose(h,a)) = compose(g,compose(h,a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_13520]) ).
tcf(c_13637,plain,
( ( compose(compose(g,domain(h)),g) = compose(g,g) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13631,c_446]) ).
tcf(c_13641,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),domain(X0)) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13630,c_94]) ).
tcf(c_13644,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),codomain(X0)) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13629,c_64]) ).
tcf(c_13647,plain,
( ( compose(compose(g,domain(h)),compose(h,a)) = compose(g,compose(h,a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13634,c_867]) ).
tcf(c_13650,plain,
( ( compose(compose(g,domain(h)),compose(g,a)) = compose(g,compose(g,a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13633,c_868]) ).
tcf(c_13653,plain,
( ( compose(compose(g,domain(h)),compose(h,compose(a,b))) = compose(g,compose(h,compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13632,c_282]) ).
tcf(c_13688,plain,
( ( compose(g,compose(codomain(h),g)) = compose(g,g) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13531]) ).
tcf(c_13689,plain,
( ( compose(g,compose(codomain(h),compose(h,compose(a,b)))) = compose(g,compose(h,compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_13531]) ).
tcf(c_13690,plain,
( ( compose(g,compose(codomain(h),compose(g,a))) = compose(g,compose(g,a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_13531]) ).
tcf(c_13691,plain,
( ( compose(g,compose(codomain(h),compose(h,a))) = compose(g,compose(h,a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_13531]) ).
tcf(c_13740,plain,
( ( compose(compose(g,domain(g)),domain(g)) = compose(g,domain(g)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13641]) ).
tcf(c_13746,plain,
( ( compose(compose(g,domain(h)),domain(h)) = compose(g,domain(h)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13740,c_446]) ).
tcf(c_13801,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),X0) = compose(compose(a,b),compose(compose(h,compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_316]) ).
tcf(c_13802,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),X0) = compose(compose(a,b),compose(compose(g,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_316]) ).
tcf(c_13803,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),X0) = compose(compose(a,b),compose(compose(h,a),X0)) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_316]) ).
tcf(c_13804,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),b) = compose(compose(a,b),compose(X0,b)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_316]) ).
tcf(c_13805,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),a) = compose(compose(a,b),compose(X0,a)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_316]) ).
tcf(c_13806,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),compose(a,b)) = compose(compose(a,b),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_316]) ).
tcf(c_13807,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),X0),codomain(X1)) = compose(compose(a,b),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_316]) ).
tcf(c_13808,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),X0),domain(X1)) = compose(compose(a,b),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_316]) ).
tcf(c_13809,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),g) = compose(compose(a,b),compose(X0,g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_316]) ).
tcf(c_13810,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),compose(h,compose(a,b))) = compose(compose(a,b),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_316]) ).
tcf(c_13811,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),compose(g,a)) = compose(compose(a,b),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_316]) ).
tcf(c_13812,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),compose(h,a)) = compose(compose(a,b),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_316]) ).
tcf(c_13839,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),X0) = compose(compose(a,b),compose(compose(h,a),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13803,c_867]) ).
tcf(c_13843,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),X0) = compose(compose(a,b),compose(compose(g,a),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13802,c_868]) ).
tcf(c_13851,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),X0) = compose(compose(a,b),compose(compose(h,compose(a,b)),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13801,c_282]) ).
tcf(c_13922,plain,
( ( compose(compose(compose(g,a),g),b) = compose(compose(g,a),compose(g,b)) )
| ( codomain(a) != domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_5845]) ).
tcf(c_13923,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),b) = compose(compose(g,a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_5845]) ).
tcf(c_13924,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),b) = compose(compose(g,a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5845]) ).
tcf(c_13925,plain,
( ( compose(compose(compose(g,a),compose(a,b)),b) = compose(compose(g,a),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5845]) ).
tcf(c_13926,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),b) = compose(compose(g,a),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_5845]) ).
tcf(c_13929,plain,
( ( compose(compose(compose(g,a),a),b) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_5845]) ).
tcf(c_13930,plain,
( ( compose(compose(compose(g,a),a),b) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13929,c_195]) ).
tcf(c_13935,plain,
( ( compose(compose(compose(g,a),g),b) = compose(compose(g,a),compose(g,b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13922,c_446]) ).
tcf(c_13939,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),b) = compose(compose(g,a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13924,c_64]) ).
tcf(c_13942,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),b) = compose(compose(g,a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13923,c_94]) ).
tcf(c_13945,plain,
( ( compose(compose(compose(g,a),compose(a,b)),b) = compose(compose(g,a),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13925,c_73]) ).
tcf(c_13949,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),b) = compose(compose(g,a),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13926,c_282]) ).
tcf(c_13960,plain,
( ( compose(compose(compose(g,a),domain(a)),b) = compose(compose(g,a),compose(domain(a),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_13942]) ).
tcf(c_13964,plain,
( ( compose(compose(compose(g,a),domain(g)),b) = compose(compose(g,a),compose(domain(g),b)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13942]) ).
tcf(c_13969,plain,
( ( compose(compose(compose(g,a),domain(h)),b) = compose(compose(g,a),compose(domain(h),b)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13964,c_446]) ).
tcf(c_13972,plain,
( ( compose(compose(compose(g,a),codomain(h)),b) = compose(compose(g,a),compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13960,c_195]) ).
tcf(c_14027,plain,
( ( compose(compose(compose(h,a),g),b) = compose(compose(h,a),compose(g,b)) )
| ( codomain(a) != domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_6457]) ).
tcf(c_14028,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),b) = compose(compose(h,a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_6457]) ).
tcf(c_14029,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),b) = compose(compose(h,a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6457]) ).
tcf(c_14030,plain,
( ( compose(compose(compose(h,a),compose(a,b)),b) = compose(compose(h,a),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6457]) ).
tcf(c_14031,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),b) = compose(compose(h,a),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_6457]) ).
tcf(c_14034,plain,
( ( compose(compose(compose(h,a),a),b) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_6457]) ).
tcf(c_14035,plain,
( ( compose(compose(compose(h,a),a),b) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14034,c_195]) ).
tcf(c_14040,plain,
( ( compose(compose(compose(h,a),g),b) = compose(compose(h,a),compose(g,b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14027,c_446]) ).
tcf(c_14044,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),b) = compose(compose(h,a),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14029,c_64]) ).
tcf(c_14047,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),b) = compose(compose(h,a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14028,c_94]) ).
tcf(c_14050,plain,
( ( compose(compose(compose(h,a),compose(a,b)),b) = compose(compose(h,a),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14030,c_73]) ).
tcf(c_14054,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),b) = compose(compose(h,a),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14031,c_282]) ).
tcf(c_14144,plain,
( ( compose(compose(h,compose(a,b)),domain(g)) = compose(h,compose(compose(a,b),domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10430]) ).
tcf(c_14148,plain,
( ( compose(compose(h,compose(a,b)),domain(h)) = compose(h,compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14144,c_446]) ).
tcf(c_14172,plain,
( ( compose(compose(compose(h,a),domain(a)),b) = compose(compose(h,a),compose(domain(a),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14047]) ).
tcf(c_14176,plain,
( ( compose(compose(compose(h,a),domain(g)),b) = compose(compose(h,a),compose(domain(g),b)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14047]) ).
tcf(c_14181,plain,
( ( compose(compose(compose(h,a),domain(h)),b) = compose(compose(h,a),compose(domain(h),b)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14176,c_446]) ).
tcf(c_14184,plain,
( ( compose(compose(compose(h,a),codomain(h)),b) = compose(compose(h,a),compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14172,c_195]) ).
tcf(c_14200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(X2)) = compose(domain(X1),compose(domain(X0),codomain(X2))) )
| ( codomain(X2) != domain(X0) )
| ( domain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_7268]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),codomain(X0)),codomain(X2)) = compose(domain(X1),compose(codomain(X0),codomain(X2))) )
| ( codomain(X0) != codomain(X2) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_7268]) ).
tcf(c_14202,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(X1)) = compose(domain(X0),compose(compose(a,b),codomain(X1))) )
| ( codomain(X1) != codomain(b) )
| ( domain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_7268]) ).
tcf(c_14203,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),codomain(X1)) = compose(domain(X0),compose(compose(h,compose(a,b)),codomain(X1))) )
| ( codomain(X1) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_7268]) ).
tcf(c_14204,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(X1)) = compose(domain(X0),compose(compose(g,a),codomain(X1))) )
| ( codomain(X1) != codomain(a) )
| ( domain(compose(g,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_502,c_7268]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(X1)) = compose(domain(X0),compose(compose(h,a),codomain(X1))) )
| ( codomain(X1) != codomain(a) )
| ( domain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_7268]) ).
tcf(c_14213,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),codomain(X0)) = compose(domain(X1),compose(X0,codomain(X0))) )
| ( domain(X0) != domain(X1) ) ),
inference(equality_resolution,[status(thm)],[c_7268]) ).
tcf(c_14214,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),codomain(X0)) = compose(domain(X1),X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14213,c_66]) ).
tcf(c_14228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),codomain(X0)),codomain(X1)) = compose(domain(X2),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14201,c_64]) ).
tcf(c_14232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),domain(X1)),codomain(X0)) = compose(domain(X2),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14200,c_94]) ).
tcf(c_14245,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,a)),codomain(X0)) = compose(domain(X1),compose(compose(h,a),codomain(X0))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14205,c_867]) ).
tcf(c_14249,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(g,a)),codomain(X0)) = compose(domain(X1),compose(compose(g,a),codomain(X0))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14204,c_868]) ).
tcf(c_14253,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,b)),codomain(X0)) = compose(domain(X1),compose(compose(a,b),codomain(X0))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14202,c_73]) ).
tcf(c_14258,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,compose(a,b))),codomain(X0)) = compose(domain(X1),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14203,c_282]) ).
tcf(c_14286,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(a)),X1) = compose(domain(X0),compose(domain(a),X1)) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7293]) ).
tcf(c_14288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),domain(codomain(X0))),X1) = compose(domain(X2),compose(domain(codomain(X0)),X1)) )
| ( codomain(X0) != domain(X2) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7293]) ).
tcf(c_14290,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(g)),X1) = compose(domain(X0),compose(domain(g),X1)) )
| ( domain(X1) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7293]) ).
tcf(c_14294,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(b),domain(X0)),X1) = compose(domain(b),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_70,c_7293]) ).
tcf(c_14295,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(a),domain(X0)),X1) = compose(domain(a),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_195,c_7293]) ).
tcf(c_14309,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X0)),X1) = compose(codomain(h),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14295,c_195]) ).
tcf(c_14313,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(X0)),X1) = compose(codomain(a),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14294,c_70]) ).
tcf(c_14317,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(h)),X1) = compose(domain(X0),compose(domain(h),X1)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14290,c_446]) ).
tcf(c_14321,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(h)),X1) = compose(domain(X0),compose(codomain(h),X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14286,c_195]) ).
tcf(c_14334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),codomain(X0)),X1) = compose(domain(X2),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14288,c_64]) ).
tcf(c_14441,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),codomain(b)) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_14214]) ).
tcf(c_14442,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),codomain(a)) = compose(domain(X0),a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14214]) ).
tcf(c_14443,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(compose(a,b))) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_14214]) ).
tcf(c_14444,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),codomain(codomain(X0))) = compose(domain(X1),codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14214]) ).
tcf(c_14445,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(domain(X0))) = compose(domain(X1),domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_14214]) ).
tcf(c_14446,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),codomain(g)) = compose(domain(X0),g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14214]) ).
tcf(c_14447,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_14214]) ).
tcf(c_14448,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(compose(g,a))) = compose(domain(X0),compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_14214]) ).
tcf(c_14449,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(compose(h,a))) = compose(domain(X0),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_14214]) ).
tcf(c_14450,plain,
! [X0: $i] :
( ( compose(compose(domain(b),X0),codomain(X0)) = compose(domain(b),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_14214]) ).
tcf(c_14451,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),codomain(X0)) = compose(domain(a),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14214]) ).
tcf(c_14453,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),X1),codomain(X1)) = compose(domain(codomain(X0)),X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14214]) ).
tcf(c_14464,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),codomain(X0)) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14451,c_195]) ).
tcf(c_14467,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),codomain(X0)) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14450,c_70]) ).
tcf(c_14470,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),codomain(h)) = compose(domain(X0),g) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14446,c_110]) ).
tcf(c_14479,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),X1),codomain(X1)) = compose(codomain(X0),X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14453,c_64]) ).
tcf(c_14482,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),domain(X0)) = compose(domain(X1),domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14445,c_63]) ).
tcf(c_14485,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),codomain(X0)) = compose(domain(X1),codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14444,c_95]) ).
tcf(c_14491,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(a)) = compose(domain(X0),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14449,c_506]) ).
tcf(c_14494,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(a)) = compose(domain(X0),compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14448,c_502]) ).
tcf(c_14497,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(b)) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14443,c_231]) ).
tcf(c_14501,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),codomain(b)) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14447,c_829]) ).
tcf(c_14523,plain,
( ( compose(compose(domain(a),b),codomain(b)) = compose(domain(a),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14441]) ).
tcf(c_14525,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),codomain(b)) = compose(domain(codomain(X0)),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_14441]) ).
tcf(c_14527,plain,
( ( compose(compose(domain(g),b),codomain(b)) = compose(domain(g),b) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14441]) ).
tcf(c_14532,plain,
( ( compose(compose(domain(h),b),codomain(b)) = compose(domain(h),b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14527,c_446]) ).
tcf(c_14535,plain,
( ( compose(compose(codomain(h),b),codomain(b)) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14523,c_195]) ).
tcf(c_14539,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),codomain(b)) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14525,c_64]) ).
tcf(c_14594,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),a),codomain(a)) = compose(domain(codomain(X0)),a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_14442]) ).
tcf(c_14596,plain,
( ( compose(compose(domain(g),a),codomain(a)) = compose(domain(g),a) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14442]) ).
tcf(c_14602,plain,
( ( compose(compose(domain(h),a),codomain(a)) = compose(domain(h),a) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14596,c_446]) ).
tcf(c_14609,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),codomain(a)) = compose(codomain(X0),a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14594,c_64]) ).
tcf(c_14624,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(domain(X0))) = compose(codomain(h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_14464]) ).
tcf(c_14634,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),domain(X0)) = compose(codomain(h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14624,c_63]) ).
tcf(c_14659,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(domain(X0))) = compose(codomain(a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_14467]) ).
tcf(c_14670,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),domain(X0)) = compose(codomain(a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14659,c_63]) ).
tcf(c_14732,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),codomain(h)) = compose(domain(codomain(X0)),g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_14470]) ).
tcf(c_14745,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),codomain(h)) = compose(codomain(X0),g) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14732,c_64]) ).
tcf(c_14753,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),X1),codomain(X1)) = compose(codomain(domain(X0)),X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_14479]) ).
tcf(c_14755,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,b)),X0),codomain(X0)) = compose(codomain(compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_14479]) ).
tcf(c_14761,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(compose(a,b))) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_14479]) ).
tcf(c_14762,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(X1)),codomain(codomain(X1))) = compose(codomain(X0),codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14479]) ).
tcf(c_14765,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_14479]) ).
tcf(c_14766,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(compose(g,a))) = compose(codomain(X0),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_14479]) ).
tcf(c_14767,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(compose(h,a))) = compose(codomain(X0),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_14479]) ).
tcf(c_14770,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),X1),codomain(X1)) = compose(domain(X0),X1) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14753,c_63]) ).
tcf(c_14779,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),codomain(X0)) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14755,c_231]) ).
tcf(c_14782,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(a)) = compose(codomain(X0),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14767,c_506]) ).
tcf(c_14785,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(a)) = compose(codomain(X0),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14766,c_502]) ).
tcf(c_14788,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(b)) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14761,c_231]) ).
tcf(c_14792,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(b)) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14765,c_829]) ).
tcf(c_14849,plain,
( ( compose(compose(codomain(compose(a,b)),b),codomain(b)) = compose(codomain(compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_14539]) ).
tcf(c_14859,plain,
( ( compose(compose(codomain(b),b),codomain(b)) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14849,c_231]) ).
tcf(c_14947,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),codomain(compose(a,b))) = compose(domain(X0),codomain(compose(a,b))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_14485]) ).
tcf(c_14950,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),codomain(compose(h,a))) = compose(domain(X0),codomain(compose(h,a))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_14485]) ).
tcf(c_14954,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),codomain(X0)),codomain(X0)) = compose(domain(codomain(X1)),codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14485]) ).
tcf(c_14974,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),codomain(a)) = compose(domain(X0),codomain(a)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14950,c_506]) ).
tcf(c_14978,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),codomain(b)) = compose(domain(X0),codomain(b)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14947,c_231]) ).
tcf(c_15027,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(domain(X0))) = compose(codomain(b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_14779]) ).
tcf(c_15033,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),domain(X0)) = compose(codomain(b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15027,c_63]) ).
tcf(c_15066,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),domain(a)) = compose(domain(X0),domain(a)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14482]) ).
tcf(c_15077,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),domain(X1)),domain(X1)) = compose(domain(codomain(X0)),domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14482]) ).
tcf(c_15093,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),codomain(h)) = compose(domain(X0),codomain(h)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15066,c_195]) ).
tcf(c_15099,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),domain(X1)) = compose(codomain(X0),domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_15077,c_64]) ).
tcf(c_15243,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),domain(X1)) = compose(codomain(domain(X0)),domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_15099]) ).
tcf(c_15268,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),domain(X1)) = compose(domain(X0),domain(X1)) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_15243,c_63]) ).
tcf(c_15548,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(X1)),codomain(X1)) = compose(codomain(X0),codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_14762,c_95]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),codomain(X0)) = compose(codomain(X1),codomain(X0)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_14954,c_64]) ).
tcf(c_15677,plain,
( ( compose(compose(domain(g),compose(a,b)),codomain(b)) = compose(domain(g),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14497]) ).
tcf(c_15683,plain,
( ( compose(compose(domain(h),compose(a,b)),codomain(b)) = compose(domain(h),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15677,c_446]) ).
tcf(c_15751,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(g)),X1) = compose(codomain(X0),compose(codomain(g),X1)) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_7575]) ).
tcf(c_15754,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(compose(a,b))),X0) = compose(codomain(X1),compose(codomain(compose(a,b)),X0)) )
| ( codomain(X1) != codomain(b) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_7575]) ).
tcf(c_15771,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(h)),X1) = compose(codomain(X0),compose(codomain(h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15751,c_110]) ).
tcf(c_15794,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(b)),X1) = compose(codomain(X0),compose(codomain(b),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15754,c_231]) ).
tcf(c_15861,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),b) = compose(codomain(X1),compose(X0,b)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_10920,c_64]) ).
tcf(c_15871,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),b) = compose(codomain(X0),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(g) ) ),
inference(superposition,[status(thm)],[c_110,c_15861]) ).
tcf(c_15872,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),b) = compose(codomain(X1),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_15861]) ).
tcf(c_15873,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),b) = compose(codomain(X1),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_15861]) ).
tcf(c_15874,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),b) = compose(codomain(X0),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_15861]) ).
tcf(c_15875,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),b) = compose(codomain(X0),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_15861]) ).
tcf(c_15882,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),b) = compose(codomain(X0),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15871,c_446]) ).
tcf(c_15886,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),b) = compose(codomain(X1),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_15873,c_64]) ).
tcf(c_15890,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),b) = compose(codomain(X0),compose(domain(X1),b)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_15872,c_94]) ).
tcf(c_15894,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),b) = compose(codomain(X0),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15874,c_73]) ).
tcf(c_15898,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),b) = compose(codomain(X0),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15875,c_282]) ).
tcf(c_15942,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),b) = compose(domain(X0),compose(codomain(compose(a,b)),b)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_10959]) ).
tcf(c_15945,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),b) = compose(domain(X0),compose(codomain(compose(h,a)),b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_10959]) ).
tcf(c_15975,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),b) = compose(domain(X0),compose(codomain(compose(h,a)),b)) )
| ( domain(X0) != codomain(a) ) ),
inference(ground_joinability,[status(thm)],[c_15945,c_506]) ).
tcf(c_15976,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),b) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15975,c_97,c_506]) ).
tcf(c_15981,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),b) = compose(domain(X0),compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15942,c_231]) ).
tcf(c_16000,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(a)),X0) = compose(domain(a),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_11822]) ).
tcf(c_16004,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(a)),X0) = compose(domain(g),compose(codomain(a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_11822]) ).
tcf(c_16011,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(a)),X0) = compose(domain(h),compose(codomain(a),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16004,c_446]) ).
tcf(c_16015,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(a)),X0) = compose(codomain(h),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16000,c_195]) ).
tcf(c_16038,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(compose(a,b))),codomain(X0)) = compose(g,compose(codomain(compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_11910]) ).
tcf(c_16041,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(compose(h,a))),codomain(X0)) = compose(g,compose(codomain(compose(h,a)),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_11910]) ).
tcf(c_16042,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),codomain(g)) = compose(g,compose(codomain(X0),codomain(g))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_11910]) ).
tcf(c_16051,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),codomain(h)) = compose(g,compose(codomain(X0),codomain(h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16042,c_110]) ).
tcf(c_16073,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(a)),codomain(X0)) = compose(g,compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16041,c_506]) ).
tcf(c_16078,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(b)),codomain(X0)) = compose(g,compose(codomain(b),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16038,c_231]) ).
tcf(c_16094,plain,
( ( compose(compose(domain(a),codomain(a)),b) = compose(domain(a),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_15976]) ).
tcf(c_16096,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),b) = compose(domain(codomain(X0)),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_15976]) ).
tcf(c_16098,plain,
( ( compose(compose(domain(g),codomain(a)),b) = compose(domain(g),b) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_15976]) ).
tcf(c_16103,plain,
( ( compose(compose(domain(h),codomain(a)),b) = compose(domain(h),b) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16098,c_446]) ).
tcf(c_16106,plain,
( ( compose(compose(codomain(h),codomain(a)),b) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16094,c_195]) ).
tcf(c_16110,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),b) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16096,c_64]) ).
tcf(c_16133,plain,
( ( compose(compose(codomain(compose(a,b)),codomain(a)),b) = compose(codomain(compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_16110]) ).
tcf(c_16144,plain,
( ( compose(compose(codomain(b),codomain(a)),b) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16133,c_231]) ).
tcf(c_16157,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),codomain(h)) = compose(g,compose(codomain(domain(X0)),codomain(h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_16051]) ).
tcf(c_16167,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),codomain(h)) = compose(g,compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16157,c_63]) ).
tcf(c_16188,plain,
( ( compose(compose(g,domain(g)),codomain(h)) = compose(g,compose(domain(g),codomain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16167]) ).
tcf(c_16194,plain,
( ( compose(compose(g,domain(h)),codomain(h)) = compose(g,compose(domain(h),codomain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16188,c_446]) ).
tcf(c_16219,plain,
( ( compose(compose(h,compose(a,b)),domain(g)) = compose(compose(h,a),compose(b,domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12535]) ).
tcf(c_16223,plain,
( ( compose(compose(h,compose(a,b)),domain(h)) = compose(compose(h,a),compose(b,domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16219,c_446]) ).
tcf(c_16243,plain,
( ( compose(compose(h,compose(a,b)),domain(g)) = compose(compose(g,a),compose(b,domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12604]) ).
tcf(c_16247,plain,
( ( compose(compose(h,compose(a,b)),domain(h)) = compose(compose(g,a),compose(b,domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16243,c_446]) ).
tcf(c_16279,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,domain(X1)),codomain(domain(X0))) = compose(g,compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_13513]) ).
tcf(c_16281,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),codomain(compose(a,b))) = compose(g,compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_13513]) ).
tcf(c_16284,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),codomain(compose(h,a))) = compose(g,compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_13513]) ).
tcf(c_16290,plain,
! [X0: $i] :
( ( compose(compose(g,domain(g)),codomain(X0)) = compose(g,compose(domain(g),codomain(X0))) )
| ( codomain(h) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_13513]) ).
tcf(c_16294,plain,
! [X0: $i] :
( ( compose(compose(g,domain(h)),codomain(X0)) = compose(g,compose(domain(h),codomain(X0))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16290,c_446]) ).
tcf(c_16302,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(g,domain(X1)),domain(X0)) = compose(g,compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_16279,c_63]) ).
tcf(c_16308,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),codomain(a)) = compose(g,compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16284,c_506]) ).
tcf(c_16313,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),codomain(b)) = compose(g,compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16281,c_231]) ).
tcf(c_16371,plain,
( ( compose(compose(compose(a,b),g),b) = compose(compose(a,b),compose(g,b)) )
| ( codomain(b) != domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_13804]) ).
tcf(c_16372,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),b) = compose(compose(a,b),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_13804]) ).
tcf(c_16373,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),b) = compose(compose(a,b),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_13804]) ).
tcf(c_16375,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),b) = compose(compose(a,b),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_13804]) ).
tcf(c_16382,plain,
( ( compose(compose(compose(a,b),g),b) = compose(compose(a,b),compose(g,b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16371,c_446]) ).
tcf(c_16386,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),b) = compose(compose(a,b),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16373,c_64]) ).
tcf(c_16390,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),b) = compose(compose(a,b),compose(domain(X0),b)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16372,c_94]) ).
tcf(c_16395,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),b) = compose(compose(a,b),compose(compose(h,compose(a,b)),b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16375,c_282]) ).
tcf(c_16417,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),a) = compose(codomain(a),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_14313]) ).
tcf(c_16418,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(a,b)) = compose(codomain(a),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_73,c_14313]) ).
tcf(c_16419,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(X1)),codomain(X0)) = compose(codomain(a),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14313]) ).
tcf(c_16420,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(X0)),domain(X1)) = compose(codomain(a),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_14313]) ).
tcf(c_16421,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),g) = compose(codomain(a),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_14313]) ).
tcf(c_16422,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(h,compose(a,b))) = compose(codomain(a),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_282,c_14313]) ).
tcf(c_16423,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(g,a)) = compose(codomain(a),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_868,c_14313]) ).
tcf(c_16424,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(h,a)) = compose(codomain(a),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_867,c_14313]) ).
tcf(c_16425,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),X0) = compose(codomain(a),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_14313]) ).
tcf(c_16426,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),X0) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16425,c_65]) ).
tcf(c_16602,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),b) = compose(compose(g,a),compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_13939]) ).
tcf(c_16613,plain,
( ( compose(compose(compose(g,a),codomain(b)),b) = compose(compose(g,a),compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16602,c_231]) ).
tcf(c_16633,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),X1) = compose(domain(X0),compose(codomain(compose(a,b)),X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_14334]) ).
tcf(c_16638,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),a) = compose(domain(X1),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_195,c_14334]) ).
tcf(c_16639,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(a,b)) = compose(domain(X1),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_73,c_14334]) ).
tcf(c_16642,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),g) = compose(domain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_446,c_14334]) ).
tcf(c_16643,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(h,compose(a,b))) = compose(domain(X1),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_282,c_14334]) ).
tcf(c_16644,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(g,a)) = compose(domain(X1),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_868,c_14334]) ).
tcf(c_16645,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(h,a)) = compose(domain(X1),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_867,c_14334]) ).
tcf(c_16671,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(b)),X0) = compose(domain(X1),compose(codomain(b),X0)) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16633,c_231]) ).
tcf(c_16808,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),b) = compose(codomain(domain(X0)),compose(domain(X1),b)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_15890]) ).
tcf(c_16810,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,b)),domain(X0)),b) = compose(codomain(compose(a,b)),compose(domain(X0),b)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_15890]) ).
tcf(c_16815,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),b) = compose(codomain(X0),compose(domain(a),b)) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_15890]) ).
tcf(c_16819,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),b) = compose(codomain(X0),compose(domain(g),b)) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_15890]) ).
tcf(c_16825,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),b) = compose(codomain(X0),compose(domain(h),b)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16819,c_446]) ).
tcf(c_16829,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),b) = compose(codomain(X0),compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16815,c_195]) ).
tcf(c_16836,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),b) = compose(domain(X0),compose(domain(X1),b)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_16808,c_63]) ).
tcf(c_16842,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),b) = compose(codomain(b),compose(domain(X0),b)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16810,c_231]) ).
tcf(c_16926,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),b) = compose(compose(h,a),compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_14044]) ).
tcf(c_16937,plain,
( ( compose(compose(compose(h,a),codomain(b)),b) = compose(compose(h,a),compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16926,c_231]) ).
tcf(c_16972,plain,
! [X0: $i] :
( ( compose(compose(g,domain(b)),domain(X0)) = compose(g,compose(domain(b),domain(X0))) )
| ( codomain(h) != domain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_16302]) ).
tcf(c_16977,plain,
! [X0: $i] :
( ( compose(compose(g,domain(g)),domain(X0)) = compose(g,compose(domain(g),domain(X0))) )
| ( codomain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16302]) ).
tcf(c_16985,plain,
! [X0: $i] :
( ( compose(compose(g,domain(h)),domain(X0)) = compose(g,compose(domain(h),domain(X0))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16977,c_446]) ).
tcf(c_16991,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(a)),domain(X0)) = compose(g,compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16972,c_70]) ).
tcf(c_17022,plain,
! [X0: $i] :
( ( compose(compose(domain(a),domain(X0)),b) = compose(domain(a),compose(domain(X0),b)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_16836]) ).
tcf(c_17031,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),b) = compose(domain(X0),compose(domain(a),b)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_16836]) ).
tcf(c_17035,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),b) = compose(domain(X0),compose(domain(g),b)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16836]) ).
tcf(c_17042,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),b) = compose(domain(X0),compose(domain(h),b)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17035,c_446]) ).
tcf(c_17046,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),b) = compose(domain(X0),compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17031,c_195]) ).
tcf(c_17056,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),b) = compose(codomain(h),compose(domain(X0),b)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17022,c_195]) ).
tcf(c_17132,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(compose(h,compose(a,b))),compose(h,compose(a,b)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7761]) ).
tcf(c_17140,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),compose(h,compose(a,b)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17132,c_829]) ).
tcf(c_17187,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),g),codomain(X0)) = compose(compose(g,a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_5848]) ).
tcf(c_17188,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(X1)) = compose(compose(g,a),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_5848]) ).
tcf(c_17189,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),codomain(X1)) = compose(compose(g,a),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5848]) ).
tcf(c_17190,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(a,b)),codomain(X0)) = compose(compose(g,a),compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5848]) ).
tcf(c_17191,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X0)) = compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_5848]) ).
tcf(c_17192,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),codomain(X0)) = compose(compose(g,a),compose(compose(g,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_5848]) ).
tcf(c_17193,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),codomain(X0)) = compose(compose(g,a),compose(compose(h,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_5848]) ).
tcf(c_17201,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),codomain(X0)) = compose(compose(g,a),compose(X0,codomain(X0))) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_5848]) ).
tcf(c_17202,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),X0),codomain(X0)) = compose(compose(g,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17201,c_66]) ).
tcf(c_17209,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),g),codomain(X0)) = compose(compose(g,a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17187,c_446]) ).
tcf(c_17219,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),codomain(X1)) = compose(compose(g,a),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17189,c_64]) ).
tcf(c_17223,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X1)),codomain(X0)) = compose(compose(g,a),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17188,c_94]) ).
tcf(c_17236,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),codomain(X0)) = compose(compose(g,a),compose(compose(h,a),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17193,c_867]) ).
tcf(c_17240,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),codomain(X0)) = compose(compose(g,a),compose(compose(g,a),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17192,c_868]) ).
tcf(c_17244,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(a,b)),codomain(X0)) = compose(compose(g,a),compose(compose(a,b),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17190,c_73]) ).
tcf(c_17249,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X0)) = compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17191,c_282]) ).
tcf(c_17340,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(a)),X0) = compose(compose(g,a),compose(domain(a),X0)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5875]) ).
tcf(c_17344,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(g)),X0) = compose(compose(g,a),compose(domain(g),X0)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5875]) ).
tcf(c_17349,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),a) = compose(compose(g,a),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_5875]) ).
tcf(c_17350,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),compose(a,b)) = compose(compose(g,a),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_73,c_5875]) ).
tcf(c_17352,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X0)),domain(X1)) = compose(compose(g,a),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_5875]) ).
tcf(c_17353,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),g) = compose(compose(g,a),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_5875]) ).
tcf(c_17354,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),compose(h,compose(a,b))) = compose(compose(g,a),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_282,c_5875]) ).
tcf(c_17355,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),compose(g,a)) = compose(compose(g,a),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_868,c_5875]) ).
tcf(c_17356,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),compose(h,a)) = compose(compose(g,a),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_867,c_5875]) ).
tcf(c_17357,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),X0) = compose(compose(g,a),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_5875]) ).
tcf(c_17358,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),X0) = compose(compose(g,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17357,c_65]) ).
tcf(c_17367,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(h)),X0) = compose(compose(g,a),compose(domain(h),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17344,c_446]) ).
tcf(c_17371,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(h)),X0) = compose(compose(g,a),compose(codomain(h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17340,c_195]) ).
tcf(c_17433,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),g),codomain(X0)) = compose(compose(h,a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_6460]) ).
tcf(c_17434,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(X1)) = compose(compose(h,a),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_6460]) ).
tcf(c_17435,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),codomain(X1)) = compose(compose(h,a),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6460]) ).
tcf(c_17436,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(a,b)),codomain(X0)) = compose(compose(h,a),compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6460]) ).
tcf(c_17437,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X0)) = compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_6460]) ).
tcf(c_17438,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),codomain(X0)) = compose(compose(h,a),compose(compose(g,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_6460]) ).
tcf(c_17439,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),codomain(X0)) = compose(compose(h,a),compose(compose(h,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_6460]) ).
tcf(c_17447,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),codomain(X0)) = compose(compose(h,a),compose(X0,codomain(X0))) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_6460]) ).
tcf(c_17448,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),X0),codomain(X0)) = compose(compose(h,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17447,c_66]) ).
tcf(c_17455,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),g),codomain(X0)) = compose(compose(h,a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17433,c_446]) ).
tcf(c_17465,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),codomain(X1)) = compose(compose(h,a),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17435,c_64]) ).
tcf(c_17469,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X1)),codomain(X0)) = compose(compose(h,a),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17434,c_94]) ).
tcf(c_17482,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),codomain(X0)) = compose(compose(h,a),compose(compose(h,a),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17439,c_867]) ).
tcf(c_17486,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),codomain(X0)) = compose(compose(h,a),compose(compose(g,a),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17438,c_868]) ).
tcf(c_17490,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(a,b)),codomain(X0)) = compose(compose(h,a),compose(compose(a,b),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17436,c_73]) ).
tcf(c_17495,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X0)) = compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17437,c_282]) ).
tcf(c_17594,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(a)),X0) = compose(compose(h,a),compose(domain(a),X0)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_6486]) ).
tcf(c_17598,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(g)),X0) = compose(compose(h,a),compose(domain(g),X0)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_6486]) ).
tcf(c_17603,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),a) = compose(compose(h,a),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_6486]) ).
tcf(c_17604,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),compose(a,b)) = compose(compose(h,a),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_73,c_6486]) ).
tcf(c_17606,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X0)),domain(X1)) = compose(compose(h,a),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_6486]) ).
tcf(c_17607,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),g) = compose(compose(h,a),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_6486]) ).
tcf(c_17608,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),compose(h,compose(a,b))) = compose(compose(h,a),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_282,c_6486]) ).
tcf(c_17609,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),compose(g,a)) = compose(compose(h,a),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_868,c_6486]) ).
tcf(c_17610,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),compose(h,a)) = compose(compose(h,a),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_867,c_6486]) ).
tcf(c_17611,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),X0) = compose(compose(h,a),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_6486]) ).
tcf(c_17612,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),X0) = compose(compose(h,a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17611,c_65]) ).
tcf(c_17621,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(h)),X0) = compose(compose(h,a),compose(domain(h),X0)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17598,c_446]) ).
tcf(c_17625,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(h)),X0) = compose(compose(h,a),compose(codomain(h),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17594,c_195]) ).
tcf(c_17735,plain,
( ( compose(compose(compose(g,a),a),codomain(a)) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17202]) ).
tcf(c_17736,plain,
( ( compose(compose(compose(g,a),compose(a,b)),codomain(compose(a,b))) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_17202]) ).
tcf(c_17737,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),codomain(codomain(X0))) = compose(compose(g,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_17202]) ).
tcf(c_17738,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(domain(X0))) = compose(compose(g,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_17202]) ).
tcf(c_17739,plain,
( ( compose(compose(compose(g,a),g),codomain(g)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17202]) ).
tcf(c_17740,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_17202]) ).
tcf(c_17741,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(compose(g,a))) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_17202]) ).
tcf(c_17742,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(compose(h,a))) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_17202]) ).
tcf(c_17743,plain,
( ( compose(compose(compose(g,a),g),codomain(h)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17739,c_110]) ).
tcf(c_17748,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),domain(X0)) = compose(compose(g,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17738,c_63]) ).
tcf(c_17751,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),codomain(X0)) = compose(compose(g,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17737,c_95]) ).
tcf(c_17754,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(a)) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17742,c_506]) ).
tcf(c_17757,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(a)) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17741,c_502]) ).
tcf(c_17760,plain,
( ( compose(compose(compose(g,a),compose(a,b)),codomain(b)) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17736,c_231]) ).
tcf(c_17763,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b)) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17740,c_829]) ).
tcf(c_17799,plain,
( ( compose(compose(compose(g,a),domain(a)),a) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17358]) ).
tcf(c_17800,plain,
( ( compose(compose(compose(g,a),domain(compose(a,b))),compose(a,b)) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_17358]) ).
tcf(c_17803,plain,
( ( compose(compose(compose(g,a),domain(g)),g) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17358]) ).
tcf(c_17804,plain,
( ( compose(compose(compose(g,a),domain(compose(h,compose(a,b)))),compose(h,compose(a,b))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_17358]) ).
tcf(c_17805,plain,
( ( compose(compose(compose(g,a),domain(compose(g,a))),compose(g,a)) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_17358]) ).
tcf(c_17806,plain,
( ( compose(compose(compose(g,a),domain(compose(h,a))),compose(h,a)) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_17358]) ).
tcf(c_17808,plain,
( ( compose(compose(compose(g,a),domain(h)),g) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17803,c_446]) ).
tcf(c_17811,plain,
( ( compose(compose(compose(g,a),codomain(h)),a) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17799,c_195]) ).
tcf(c_17816,plain,
( ( compose(compose(compose(g,a),domain(h)),compose(h,a)) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17806,c_867]) ).
tcf(c_17819,plain,
( ( compose(compose(compose(g,a),domain(h)),compose(g,a)) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17805,c_868]) ).
tcf(c_17822,plain,
( ( compose(compose(compose(g,a),codomain(h)),compose(a,b)) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17800,c_73]) ).
tcf(c_17825,plain,
( ( compose(compose(compose(g,a),domain(h)),compose(h,compose(a,b))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17804,c_282]) ).
tcf(c_17868,plain,
( ( compose(compose(compose(h,a),a),codomain(a)) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17448]) ).
tcf(c_17869,plain,
( ( compose(compose(compose(h,a),compose(a,b)),codomain(compose(a,b))) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_17448]) ).
tcf(c_17870,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),codomain(codomain(X0))) = compose(compose(h,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_17448]) ).
tcf(c_17871,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(domain(X0))) = compose(compose(h,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_17448]) ).
tcf(c_17872,plain,
( ( compose(compose(compose(h,a),g),codomain(g)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17448]) ).
tcf(c_17873,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_17448]) ).
tcf(c_17874,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(compose(g,a))) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_17448]) ).
tcf(c_17875,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(compose(h,a))) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_17448]) ).
tcf(c_17876,plain,
( ( compose(compose(compose(h,a),g),codomain(h)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17872,c_110]) ).
tcf(c_17881,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),domain(X0)) = compose(compose(h,a),domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17871,c_63]) ).
tcf(c_17884,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),codomain(X0)) = compose(compose(h,a),codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17870,c_95]) ).
tcf(c_17887,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(a)) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17875,c_506]) ).
tcf(c_17890,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(a)) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17874,c_502]) ).
tcf(c_17893,plain,
( ( compose(compose(compose(h,a),compose(a,b)),codomain(b)) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17869,c_231]) ).
tcf(c_17896,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b)) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17873,c_829]) ).
tcf(c_17954,plain,
( ( compose(compose(compose(h,a),domain(a)),a) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17612]) ).
tcf(c_17955,plain,
( ( compose(compose(compose(h,a),domain(compose(a,b))),compose(a,b)) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_17612]) ).
tcf(c_17958,plain,
( ( compose(compose(compose(h,a),domain(g)),g) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17612]) ).
tcf(c_17959,plain,
( ( compose(compose(compose(h,a),domain(compose(h,compose(a,b)))),compose(h,compose(a,b))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_17612]) ).
tcf(c_17960,plain,
( ( compose(compose(compose(h,a),domain(compose(g,a))),compose(g,a)) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_17612]) ).
tcf(c_17961,plain,
( ( compose(compose(compose(h,a),domain(compose(h,a))),compose(h,a)) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_17612]) ).
tcf(c_17963,plain,
( ( compose(compose(compose(h,a),domain(h)),g) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17958,c_446]) ).
tcf(c_17966,plain,
( ( compose(compose(compose(h,a),codomain(h)),a) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17954,c_195]) ).
tcf(c_17971,plain,
( ( compose(compose(compose(h,a),domain(h)),compose(h,a)) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17961,c_867]) ).
tcf(c_17974,plain,
( ( compose(compose(compose(h,a),domain(h)),compose(g,a)) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17960,c_868]) ).
tcf(c_17977,plain,
( ( compose(compose(compose(h,a),codomain(h)),compose(a,b)) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17955,c_73]) ).
tcf(c_17980,plain,
( ( compose(compose(compose(h,a),domain(h)),compose(h,compose(a,b))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17959,c_282]) ).
tcf(c_18025,plain,
( ( compose(compose(compose(g,a),codomain(g)),codomain(g)) = compose(compose(g,a),codomain(g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17751]) ).
tcf(c_18028,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),codomain(compose(a,b))) = compose(compose(g,a),codomain(compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17751]) ).
tcf(c_18036,plain,
( ( compose(compose(compose(g,a),codomain(h)),codomain(h)) = compose(compose(g,a),codomain(h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18025,c_110]) ).
tcf(c_18041,plain,
( ( compose(compose(compose(g,a),codomain(b)),codomain(b)) = compose(compose(g,a),codomain(b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18028,c_231]) ).
tcf(c_18049,plain,
( ( compose(compose(compose(h,a),codomain(g)),codomain(g)) = compose(compose(h,a),codomain(g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17884]) ).
tcf(c_18052,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),codomain(compose(a,b))) = compose(compose(h,a),codomain(compose(a,b))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17884]) ).
tcf(c_18060,plain,
( ( compose(compose(compose(h,a),codomain(h)),codomain(h)) = compose(compose(h,a),codomain(h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18049,c_110]) ).
tcf(c_18065,plain,
( ( compose(compose(compose(h,a),codomain(b)),codomain(b)) = compose(compose(h,a),codomain(b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18052,c_231]) ).
tcf(c_18137,plain,
( ( compose(compose(compose(g,a),domain(g)),domain(g)) = compose(compose(g,a),domain(g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17748]) ).
tcf(c_18142,plain,
( ( compose(compose(compose(g,a),domain(h)),domain(h)) = compose(compose(g,a),domain(h)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18137,c_446]) ).
tcf(c_18161,plain,
( ( compose(compose(compose(h,a),domain(g)),domain(g)) = compose(compose(h,a),domain(g)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17881]) ).
tcf(c_18166,plain,
( ( compose(compose(compose(h,a),domain(h)),domain(h)) = compose(compose(h,a),domain(h)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18161,c_446]) ).
tcf(c_18231,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(a,b)) = compose(domain(X0),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7267]) ).
tcf(c_18232,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),compose(a,b)) = compose(domain(X0),compose(a,compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7267]) ).
tcf(c_18233,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(a,b)) = compose(domain(X0),compose(compose(a,b),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7267]) ).
tcf(c_18235,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(a,b)) = compose(domain(X1),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7267]) ).
tcf(c_18237,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),compose(a,b)) = compose(domain(X0),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7267]) ).
tcf(c_18238,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(a,b)) = compose(domain(X0),compose(compose(g,a),compose(a,b))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(g,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7267]) ).
tcf(c_18239,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(a,b)) = compose(domain(X0),compose(compose(h,a),compose(a,b))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7267]) ).
tcf(c_18240,plain,
! [X0: $i] :
( ( compose(compose(domain(b),X0),compose(a,b)) = compose(domain(b),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_7267]) ).
tcf(c_18241,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),compose(a,b)) = compose(domain(a),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7267]) ).
tcf(c_18243,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),compose(a,b)) = compose(domain(codomain(X1)),compose(X0,compose(a,b))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7267]) ).
tcf(c_18249,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(a,b)) = compose(domain(X0),compose(X0,compose(a,b))) )
| ( codomain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7267]) ).
tcf(c_18250,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(a,b))) = compose(X0,compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18249,c_65]) ).
tcf(c_18257,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),compose(a,b)) = compose(codomain(h),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18241,c_195]) ).
tcf(c_18261,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),compose(a,b)) = compose(codomain(a),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18240,c_70]) ).
tcf(c_18279,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(a,b)) = compose(domain(X1),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18235,c_63]) ).
tcf(c_18287,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(a,b)) = compose(domain(X0),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18239,c_506]) ).
tcf(c_18291,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(a,b)) = compose(domain(X0),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18238,c_502]) ).
tcf(c_18295,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(a,b)) = compose(domain(X0),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18233,c_231]) ).
tcf(c_18300,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),compose(a,b)) = compose(domain(X0),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18237,c_829]) ).
tcf(c_18364,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(g)) = compose(X0,compose(compose(h,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_8940]) ).
tcf(c_18367,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(compose(a,b))) = compose(X0,compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8940]) ).
tcf(c_18371,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(a)) = compose(X0,compose(compose(h,a),codomain(a))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_8940]) ).
tcf(c_18372,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(a)) = compose(X0,compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18371,c_607]) ).
tcf(c_18377,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(h)) = compose(X0,compose(compose(h,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18364,c_110]) ).
tcf(c_18385,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),codomain(b)) = compose(X0,compose(compose(h,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18367,c_231]) ).
tcf(c_18402,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_18250]) ).
tcf(c_18403,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),compose(a,b))) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_18250]) ).
tcf(c_18404,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),compose(a,b))) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_18250]) ).
tcf(c_18409,plain,
( ( compose(domain(h),compose(compose(h,a),compose(a,b))) = compose(compose(h,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18404,c_867]) ).
tcf(c_18412,plain,
( ( compose(domain(h),compose(compose(g,a),compose(a,b))) = compose(compose(g,a),compose(a,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18403,c_868]) ).
tcf(c_18416,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18402,c_282]) ).
tcf(c_18425,plain,
( ( compose(compose(compose(a,b),compose(h,a)),codomain(a)) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_18372]) ).
tcf(c_18426,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(a)) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_18372]) ).
tcf(c_18523,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(g)) = compose(X0,compose(compose(g,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_9090]) ).
tcf(c_18526,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(compose(a,b))) = compose(X0,compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9090]) ).
tcf(c_18530,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(a)) = compose(X0,compose(compose(g,a),codomain(a))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_9090]) ).
tcf(c_18531,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(a)) = compose(X0,compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18530,c_539]) ).
tcf(c_18536,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(h)) = compose(X0,compose(compose(g,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18523,c_110]) ).
tcf(c_18544,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),codomain(b)) = compose(X0,compose(compose(g,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18526,c_231]) ).
tcf(c_18559,plain,
( ( compose(compose(compose(a,b),a),codomain(g)) = compose(compose(a,b),compose(a,codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_10203]) ).
tcf(c_18562,plain,
( ( compose(compose(compose(a,b),a),codomain(compose(a,b))) = compose(compose(a,b),compose(a,codomain(compose(a,b)))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_10203]) ).
tcf(c_18571,plain,
( ( compose(compose(compose(a,b),a),codomain(h)) = compose(compose(a,b),compose(a,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18559,c_110]) ).
tcf(c_18577,plain,
( ( compose(compose(compose(a,b),a),codomain(b)) = compose(compose(a,b),compose(a,codomain(b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18562,c_231]) ).
tcf(c_18588,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),codomain(X0)) = compose(compose(a,b),compose(g,codomain(X0))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_13807]) ).
tcf(c_18589,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(X1)) = compose(compose(a,b),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_13807]) ).
tcf(c_18590,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(X1)) = compose(compose(a,b),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_13807]) ).
tcf(c_18592,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X0)) = compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_13807]) ).
tcf(c_18593,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),codomain(X0)) = compose(compose(a,b),compose(compose(g,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_13807]) ).
tcf(c_18594,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),codomain(X0)) = compose(compose(a,b),compose(compose(h,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_13807]) ).
tcf(c_18602,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),codomain(X0)) = compose(compose(a,b),compose(X0,codomain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_13807]) ).
tcf(c_18603,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),codomain(X0)) = compose(compose(a,b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18602,c_66]) ).
tcf(c_18610,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),codomain(X0)) = compose(compose(a,b),compose(g,codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18588,c_446]) ).
tcf(c_18620,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(X1)) = compose(compose(a,b),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18590,c_64]) ).
tcf(c_18624,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X1)),codomain(X0)) = compose(compose(a,b),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18589,c_94]) ).
tcf(c_18637,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),codomain(X0)) = compose(compose(a,b),compose(compose(h,a),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18594,c_867]) ).
tcf(c_18641,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),codomain(X0)) = compose(compose(a,b),compose(compose(g,a),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18593,c_868]) ).
tcf(c_18647,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X0)) = compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18592,c_282]) ).
tcf(c_18816,plain,
( ( compose(compose(compose(a,b),compose(g,a)),codomain(a)) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_18531]) ).
tcf(c_18817,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(a)) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_18531]) ).
tcf(c_18845,plain,
( ( compose(compose(compose(a,b),b),codomain(b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_18603]) ).
tcf(c_18846,plain,
( ( compose(compose(compose(a,b),a),codomain(a)) = compose(compose(a,b),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_18603]) ).
tcf(c_18847,plain,
( ( compose(compose(compose(a,b),compose(a,b)),codomain(compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_18603]) ).
tcf(c_18848,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(codomain(X0))) = compose(compose(a,b),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_18603]) ).
tcf(c_18849,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(domain(X0))) = compose(compose(a,b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_18603]) ).
tcf(c_18850,plain,
( ( compose(compose(compose(a,b),g),codomain(g)) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_18603]) ).
tcf(c_18851,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_18603]) ).
tcf(c_18854,plain,
( ( compose(compose(compose(a,b),g),codomain(h)) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18850,c_110]) ).
tcf(c_18861,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),domain(X0)) = compose(compose(a,b),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18849,c_63]) ).
tcf(c_18864,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(X0)) = compose(compose(a,b),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18848,c_95]) ).
tcf(c_18869,plain,
( ( compose(compose(compose(a,b),compose(a,b)),codomain(b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18847,c_231]) ).
tcf(c_18872,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b)) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18851,c_829]) ).
tcf(c_18946,plain,
( ( compose(compose(compose(a,b),domain(a)),domain(a)) = compose(compose(a,b),domain(a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_18861]) ).
tcf(c_18950,plain,
( ( compose(compose(compose(a,b),domain(g)),domain(g)) = compose(compose(a,b),domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_18861]) ).
tcf(c_18954,plain,
( ( compose(compose(compose(a,b),domain(h)),domain(h)) = compose(compose(a,b),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18950,c_446]) ).
tcf(c_18957,plain,
( ( compose(compose(compose(a,b),codomain(h)),codomain(h)) = compose(compose(a,b),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18946,c_195]) ).
tcf(c_19078,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),domain(X1)),codomain(domain(X0))) = compose(domain(X2),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_14232]) ).
tcf(c_19080,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(compose(a,b))) = compose(domain(X1),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_231,c_14232]) ).
tcf(c_19083,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(compose(h,a))) = compose(domain(X1),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_506,c_14232]) ).
tcf(c_19084,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(b)),codomain(X0)) = compose(domain(X1),compose(domain(b),codomain(X0))) )
| ( domain(X1) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_14232]) ).
tcf(c_19085,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(a)),codomain(X0)) = compose(domain(X1),compose(domain(a),codomain(X0))) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_14232]) ).
tcf(c_19089,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(g)),codomain(X0)) = compose(domain(X1),compose(domain(g),codomain(X0))) )
| ( domain(X1) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14232]) ).
tcf(c_19093,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(h)),codomain(X0)) = compose(domain(X1),compose(domain(h),codomain(X0))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19089,c_446]) ).
tcf(c_19097,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(h)),codomain(X0)) = compose(domain(X1),compose(codomain(h),codomain(X0))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19085,c_195]) ).
tcf(c_19101,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(a)),codomain(X0)) = compose(domain(X1),compose(codomain(a),codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19084,c_70]) ).
tcf(c_19106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),domain(X1)),domain(X0)) = compose(domain(X2),compose(domain(X1),domain(X0))) )
| ( domain(X1) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19078,c_63]) ).
tcf(c_19112,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(a)) = compose(domain(X1),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19083,c_506]) ).
tcf(c_19117,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(b)) = compose(domain(X1),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19080,c_231]) ).
tcf(c_19195,plain,
( ( compose(compose(compose(a,b),g),a) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5143]) ).
tcf(c_19196,plain,
( ( compose(compose(compose(a,b),g),compose(a,b)) = compose(compose(a,b),compose(g,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5143]) ).
tcf(c_19198,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),domain(X0)) = compose(compose(a,b),compose(g,domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5143]) ).
tcf(c_19199,plain,
( ( compose(compose(compose(a,b),g),g) = compose(compose(a,b),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5143]) ).
tcf(c_19200,plain,
( ( compose(compose(compose(a,b),g),compose(h,compose(a,b))) = compose(compose(a,b),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5143]) ).
tcf(c_19201,plain,
( ( compose(compose(compose(a,b),g),compose(g,a)) = compose(compose(a,b),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5143]) ).
tcf(c_19202,plain,
( ( compose(compose(compose(a,b),g),compose(h,a)) = compose(compose(a,b),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5143]) ).
tcf(c_19205,plain,
( ( compose(compose(compose(a,b),g),compose(a,b)) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19196,c_75]) ).
tcf(c_19251,plain,
( ( compose(compose(compose(a,b),domain(b)),b) = compose(compose(a,b),compose(domain(b),b)) )
| ( codomain(b) != domain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_16390]) ).
tcf(c_19252,plain,
( ( compose(compose(compose(a,b),domain(a)),b) = compose(compose(a,b),compose(domain(a),b)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_16390]) ).
tcf(c_19256,plain,
( ( compose(compose(compose(a,b),domain(g)),b) = compose(compose(a,b),compose(domain(g),b)) )
| ( codomain(b) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16390]) ).
tcf(c_19260,plain,
( ( compose(compose(compose(a,b),codomain(a)),b) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19251,c_70,c_97]) ).
tcf(c_19263,plain,
( ( compose(compose(compose(a,b),domain(h)),b) = compose(compose(a,b),compose(domain(h),b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19256,c_446]) ).
tcf(c_19267,plain,
( ( compose(compose(compose(a,b),codomain(h)),b) = compose(compose(a,b),compose(codomain(h),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19252,c_195]) ).
tcf(c_19326,plain,
( ( compose(compose(compose(h,compose(a,b)),g),b) = compose(compose(h,compose(a,b)),compose(g,b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_5144]) ).
tcf(c_19327,plain,
( ( compose(compose(compose(h,compose(a,b)),g),a) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5144]) ).
tcf(c_19328,plain,
( ( compose(compose(compose(h,compose(a,b)),g),compose(a,b)) = compose(compose(h,compose(a,b)),compose(g,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5144]) ).
tcf(c_19329,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),g),codomain(X0)) = compose(compose(h,compose(a,b)),compose(g,codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5144]) ).
tcf(c_19330,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),g),domain(X0)) = compose(compose(h,compose(a,b)),compose(g,domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5144]) ).
tcf(c_19331,plain,
( ( compose(compose(compose(h,compose(a,b)),g),g) = compose(compose(h,compose(a,b)),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5144]) ).
tcf(c_19332,plain,
( ( compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5144]) ).
tcf(c_19333,plain,
( ( compose(compose(compose(h,compose(a,b)),g),compose(g,a)) = compose(compose(h,compose(a,b)),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5144]) ).
tcf(c_19334,plain,
( ( compose(compose(compose(h,compose(a,b)),g),compose(h,a)) = compose(compose(h,compose(a,b)),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5144]) ).
tcf(c_19337,plain,
( ( compose(compose(compose(h,compose(a,b)),g),compose(a,b)) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19328,c_75]) ).
tcf(c_19383,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(X1)),codomain(domain(X0))) = compose(codomain(a),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_16419]) ).
tcf(c_19385,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(compose(a,b))) = compose(codomain(a),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_16419]) ).
tcf(c_19388,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(compose(h,a))) = compose(codomain(a),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_16419]) ).
tcf(c_19390,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(a)),codomain(X0)) = compose(codomain(a),compose(domain(a),codomain(X0))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_16419]) ).
tcf(c_19392,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(codomain(X0))),codomain(X1)) = compose(codomain(a),compose(domain(codomain(X0)),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_16419]) ).
tcf(c_19394,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(g)),codomain(X0)) = compose(codomain(a),compose(domain(g),codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16419]) ).
tcf(c_19398,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(a)) = compose(codomain(a),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19388,c_506]) ).
tcf(c_19402,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(h)),codomain(X0)) = compose(codomain(a),compose(domain(h),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19394,c_446]) ).
tcf(c_19406,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(h)),codomain(X0)) = compose(codomain(a),compose(codomain(h),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19390,c_195]) ).
tcf(c_19415,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),domain(X1)),domain(X0)) = compose(codomain(a),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19383,c_63]) ).
tcf(c_19420,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),codomain(X0)),codomain(X1)) = compose(codomain(a),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19392,c_64]) ).
tcf(c_19424,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(b)) = compose(codomain(a),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19385,c_231]) ).
tcf(c_19460,plain,
( ( compose(compose(codomain(a),domain(a)),codomain(a)) = compose(codomain(a),compose(domain(a),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_19398]) ).
tcf(c_19462,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(codomain(X0))),codomain(a)) = compose(codomain(a),compose(domain(codomain(X0)),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_19398]) ).
tcf(c_19464,plain,
( ( compose(compose(codomain(a),domain(g)),codomain(a)) = compose(codomain(a),compose(domain(g),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19398]) ).
tcf(c_19469,plain,
( ( compose(compose(codomain(a),domain(h)),codomain(a)) = compose(codomain(a),compose(domain(h),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19464,c_446]) ).
tcf(c_19472,plain,
( ( compose(compose(codomain(a),codomain(h)),codomain(a)) = compose(codomain(a),compose(codomain(h),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19460,c_195]) ).
tcf(c_19476,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),codomain(a)) = compose(codomain(a),compose(codomain(X0),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19462,c_64]) ).
tcf(c_19502,plain,
( ( compose(compose(codomain(a),codomain(compose(a,b))),codomain(a)) = compose(codomain(a),compose(codomain(compose(a,b)),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_19476]) ).
tcf(c_19512,plain,
( ( compose(compose(codomain(a),codomain(b)),codomain(a)) = compose(codomain(a),compose(codomain(b),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19502,c_231]) ).
tcf(c_19576,plain,
( ( compose(compose(compose(g,a),g),a) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5145]) ).
tcf(c_19577,plain,
( ( compose(compose(compose(g,a),g),compose(a,b)) = compose(compose(g,a),compose(g,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5145]) ).
tcf(c_19579,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),g),domain(X0)) = compose(compose(g,a),compose(g,domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5145]) ).
tcf(c_19580,plain,
( ( compose(compose(compose(g,a),g),g) = compose(compose(g,a),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5145]) ).
tcf(c_19581,plain,
( ( compose(compose(compose(g,a),g),compose(h,compose(a,b))) = compose(compose(g,a),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5145]) ).
tcf(c_19582,plain,
( ( compose(compose(compose(g,a),g),compose(g,a)) = compose(compose(g,a),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5145]) ).
tcf(c_19583,plain,
( ( compose(compose(compose(g,a),g),compose(h,a)) = compose(compose(g,a),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5145]) ).
tcf(c_19586,plain,
( ( compose(compose(compose(g,a),g),compose(a,b)) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19577,c_75]) ).
tcf(c_19680,plain,
( ( compose(compose(domain(a),b),compose(a,b)) = compose(domain(a),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_18231]) ).
tcf(c_19682,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(a,b)) = compose(domain(codomain(X0)),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_18231]) ).
tcf(c_19684,plain,
( ( compose(compose(domain(g),b),compose(a,b)) = compose(domain(g),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_18231]) ).
tcf(c_19689,plain,
( ( compose(compose(domain(h),b),compose(a,b)) = compose(domain(h),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19684,c_446]) ).
tcf(c_19693,plain,
( ( compose(compose(codomain(h),b),compose(a,b)) = compose(codomain(h),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19680,c_195]) ).
tcf(c_19698,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(a,b)) = compose(codomain(X0),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19682,c_64]) ).
tcf(c_19842,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,b)),b),X0) = compose(codomain(compose(a,b)),compose(b,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_7206]) ).
tcf(c_19853,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),b),X0) = compose(codomain(b),compose(b,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19842,c_231]) ).
tcf(c_19891,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),a) = compose(domain(X0),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7266]) ).
tcf(c_19892,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),a) = compose(domain(X0),compose(a,a)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7266]) ).
tcf(c_19893,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),a) = compose(domain(X0),compose(compose(a,b),a)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7266]) ).
tcf(c_19895,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),a) = compose(domain(X1),compose(domain(X0),a)) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7266]) ).
tcf(c_19897,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),a) = compose(domain(X0),compose(compose(h,compose(a,b)),a)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7266]) ).
tcf(c_19898,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),a) = compose(domain(X0),compose(compose(g,a),a)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(g,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7266]) ).
tcf(c_19899,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),a) = compose(domain(X0),compose(compose(h,a),a)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7266]) ).
tcf(c_19900,plain,
! [X0: $i] :
( ( compose(compose(domain(b),X0),a) = compose(domain(b),compose(X0,a)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_7266]) ).
tcf(c_19901,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),a) = compose(domain(a),compose(X0,a)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7266]) ).
tcf(c_19903,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),a) = compose(domain(codomain(X1)),compose(X0,a)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7266]) ).
tcf(c_19909,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),a) = compose(domain(X0),compose(X0,a)) )
| ( codomain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7266]) ).
tcf(c_19910,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,a)) = compose(X0,a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19909,c_65]) ).
tcf(c_19917,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),a) = compose(codomain(h),compose(X0,a)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19901,c_195]) ).
tcf(c_19921,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),a) = compose(codomain(a),compose(X0,a)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19900,c_70]) ).
tcf(c_19938,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),a) = compose(domain(X1),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_19895,c_63]) ).
tcf(c_19946,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),a) = compose(domain(X0),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19899,c_506]) ).
tcf(c_19950,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),a) = compose(domain(X0),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19898,c_502]) ).
tcf(c_19954,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),a) = compose(domain(X0),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19893,c_231]) ).
tcf(c_19959,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),a) = compose(domain(X0),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19897,c_829]) ).
tcf(c_20057,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),a)) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_19910]) ).
tcf(c_20058,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),a)) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_19910]) ).
tcf(c_20059,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),a)) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_19910]) ).
tcf(c_20064,plain,
( ( compose(domain(h),compose(compose(h,a),a)) = compose(compose(h,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20059,c_867]) ).
tcf(c_20067,plain,
( ( compose(domain(h),compose(compose(g,a),a)) = compose(compose(g,a),a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20058,c_868]) ).
tcf(c_20071,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),a)) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20057,c_282]) ).
tcf(c_20089,plain,
( ( compose(compose(compose(h,a),g),a) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5146]) ).
tcf(c_20090,plain,
( ( compose(compose(compose(h,a),g),compose(a,b)) = compose(compose(h,a),compose(g,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5146]) ).
tcf(c_20092,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),g),domain(X0)) = compose(compose(h,a),compose(g,domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_5146]) ).
tcf(c_20093,plain,
( ( compose(compose(compose(h,a),g),g) = compose(compose(h,a),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5146]) ).
tcf(c_20094,plain,
( ( compose(compose(compose(h,a),g),compose(h,compose(a,b))) = compose(compose(h,a),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_5146]) ).
tcf(c_20095,plain,
( ( compose(compose(compose(h,a),g),compose(g,a)) = compose(compose(h,a),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5146]) ).
tcf(c_20096,plain,
( ( compose(compose(compose(h,a),g),compose(h,a)) = compose(compose(h,a),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5146]) ).
tcf(c_20099,plain,
( ( compose(compose(compose(h,a),g),compose(a,b)) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20090,c_75]) ).
tcf(c_20153,plain,
( ( compose(compose(domain(a),b),a) = compose(domain(a),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_19891]) ).
tcf(c_20155,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),a) = compose(domain(codomain(X0)),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_19891]) ).
tcf(c_20157,plain,
( ( compose(compose(domain(g),b),a) = compose(domain(g),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19891]) ).
tcf(c_20162,plain,
( ( compose(compose(domain(h),b),a) = compose(domain(h),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20157,c_446]) ).
tcf(c_20166,plain,
( ( compose(compose(codomain(h),b),a) = compose(codomain(h),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20153,c_195]) ).
tcf(c_20171,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),a) = compose(codomain(X0),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20155,c_64]) ).
tcf(c_20282,plain,
( ( compose(compose(codomain(compose(a,b)),b),a) = compose(codomain(compose(a,b)),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_20171]) ).
tcf(c_20293,plain,
( ( compose(compose(codomain(b),b),a) = compose(codomain(b),compose(b,a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20282,c_231]) ).
tcf(c_20316,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),g) = compose(domain(X0),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7270]) ).
tcf(c_20317,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),g) = compose(domain(X0),compose(a,g)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7270]) ).
tcf(c_20318,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),g) = compose(domain(X0),compose(compose(a,b),g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7270]) ).
tcf(c_20320,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),g) = compose(domain(X1),compose(domain(X0),g)) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7270]) ).
tcf(c_20322,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),g) = compose(domain(X0),compose(compose(h,compose(a,b)),g)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7270]) ).
tcf(c_20323,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),g) = compose(domain(X0),compose(compose(g,a),g)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7270]) ).
tcf(c_20324,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),g) = compose(domain(X0),compose(compose(h,a),g)) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7270]) ).
tcf(c_20325,plain,
! [X0: $i] :
( ( compose(compose(domain(b),X0),g) = compose(domain(b),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_7270]) ).
tcf(c_20326,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),g) = compose(domain(a),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7270]) ).
tcf(c_20328,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),g) = compose(domain(codomain(X1)),compose(X0,g)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7270]) ).
tcf(c_20334,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),g) = compose(domain(X0),compose(X0,g)) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7270]) ).
tcf(c_20335,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,g)) = compose(X0,g) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20334,c_65]) ).
tcf(c_20342,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),g) = compose(codomain(h),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20326,c_195]) ).
tcf(c_20346,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),g) = compose(codomain(a),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20325,c_70]) ).
tcf(c_20363,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),g) = compose(domain(X1),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_20320,c_63]) ).
tcf(c_20371,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),g) = compose(domain(X0),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20324,c_506]) ).
tcf(c_20375,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),g) = compose(domain(X0),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20323,c_502]) ).
tcf(c_20379,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),g) = compose(domain(X0),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20318,c_231]) ).
tcf(c_20384,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),g) = compose(domain(X0),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20322,c_829]) ).
tcf(c_20408,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_20335]) ).
tcf(c_20409,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),g)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_20335]) ).
tcf(c_20410,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),g)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_20335]) ).
tcf(c_20413,plain,
( ( compose(domain(h),compose(compose(h,a),g)) = compose(compose(h,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20410,c_867]) ).
tcf(c_20416,plain,
( ( compose(domain(h),compose(compose(g,a),g)) = compose(compose(g,a),g) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20409,c_868]) ).
tcf(c_20420,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20408,c_282]) ).
tcf(c_20473,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),X0),codomain(X1)) = compose(codomain(a),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7579]) ).
tcf(c_20474,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(a),X0),domain(X1)) = compose(codomain(a),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7579]) ).
tcf(c_20476,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),compose(h,compose(a,b))) = compose(codomain(a),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7579]) ).
tcf(c_20477,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),compose(g,a)) = compose(codomain(a),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7579]) ).
tcf(c_20478,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),compose(h,a)) = compose(codomain(a),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7579]) ).
tcf(c_20582,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X0)),X1) = compose(codomain(b),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_7584]) ).
tcf(c_20588,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),b) = compose(codomain(b),compose(X0,b)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7584]) ).
tcf(c_20589,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),a) = compose(codomain(b),compose(X0,a)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7584]) ).
tcf(c_20590,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),compose(a,b)) = compose(codomain(b),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7584]) ).
tcf(c_20591,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),X0),codomain(X1)) = compose(codomain(b),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7584]) ).
tcf(c_20592,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),X0),domain(X1)) = compose(codomain(b),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7584]) ).
tcf(c_20593,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),g) = compose(codomain(b),compose(X0,g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7584]) ).
tcf(c_20594,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),compose(h,compose(a,b))) = compose(codomain(b),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7584]) ).
tcf(c_20595,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),compose(g,a)) = compose(codomain(b),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7584]) ).
tcf(c_20596,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),compose(h,a)) = compose(codomain(b),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7584]) ).
tcf(c_20613,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X0)),X1) = compose(codomain(b),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_20582,c_94]) ).
tcf(c_20747,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(h)),X1) = compose(codomain(X0),compose(domain(h),X1)) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_7631]) ).
tcf(c_20748,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(h)),X0) = compose(compose(a,b),compose(domain(h),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7631]) ).
tcf(c_20749,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(h)),X0) = compose(compose(h,compose(a,b)),compose(domain(h),X0)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7631]) ).
tcf(c_20772,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(h)),X0) = compose(compose(a,b),compose(codomain(h),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_7635]) ).
tcf(c_20773,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),X0) = compose(compose(h,compose(a,b)),compose(codomain(h),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_7635]) ).
tcf(c_20776,plain,
! [X0: $i] :
( ( compose(compose(h,codomain(h)),X0) = compose(h,compose(codomain(h),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7635]) ).
tcf(c_20847,plain,
( ( compose(compose(domain(a),b),g) = compose(domain(a),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_20316]) ).
tcf(c_20849,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),g) = compose(domain(codomain(X0)),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_20316]) ).
tcf(c_20851,plain,
( ( compose(compose(domain(g),b),g) = compose(domain(g),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_20316]) ).
tcf(c_20856,plain,
( ( compose(compose(domain(h),b),g) = compose(domain(h),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20851,c_446]) ).
tcf(c_20860,plain,
( ( compose(compose(codomain(h),b),g) = compose(codomain(h),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20847,c_195]) ).
tcf(c_20865,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),g) = compose(codomain(X0),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20849,c_64]) ).
tcf(c_20887,plain,
( ( compose(compose(codomain(a),compose(g,a)),g) = compose(codomain(a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20346]) ).
tcf(c_20888,plain,
( ( compose(compose(codomain(a),compose(h,a)),g) = compose(codomain(a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20346]) ).
tcf(c_20902,plain,
( ( compose(compose(codomain(a),compose(h,a)),g) = compose(codomain(a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20888,c_506]) ).
tcf(c_20905,plain,
( ( compose(compose(codomain(a),compose(g,a)),g) = compose(codomain(a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_20887,c_502]) ).
tcf(c_20961,plain,
( ( compose(compose(codomain(compose(a,b)),b),g) = compose(codomain(compose(a,b)),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_20865]) ).
tcf(c_20971,plain,
( ( compose(compose(codomain(b),b),g) = compose(codomain(b),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20961,c_231]) ).
tcf(c_20976,plain,
! [X0: $i] :
( ( compose(h,compose(codomain(h),X0)) = compose(h,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(demodulation,[status(thm)],[c_20776,c_66]) ).
tcf(c_20983,plain,
( ( compose(h,compose(codomain(h),b)) = compose(h,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_20976]) ).
tcf(c_20986,plain,
! [X0: $i] :
( ( compose(h,compose(codomain(h),codomain(X0))) = compose(h,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_20976]) ).
tcf(c_20987,plain,
! [X0: $i] :
( ( compose(h,compose(codomain(h),domain(X0))) = compose(h,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_20976]) ).
tcf(c_21157,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),a) = compose(codomain(X1),compose(X0,a)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(demodulation,[status(thm)],[c_19903,c_64]) ).
tcf(c_21168,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),a) = compose(codomain(X1),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(domain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_21157]) ).
tcf(c_21169,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),a) = compose(codomain(X1),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_21157]) ).
tcf(c_21170,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),a) = compose(codomain(X0),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_21157]) ).
tcf(c_21171,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),a) = compose(codomain(X0),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_21157]) ).
tcf(c_21172,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),a) = compose(codomain(X0),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_502,c_21157]) ).
tcf(c_21173,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),a) = compose(codomain(X0),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_21157]) ).
tcf(c_21174,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),a) = compose(codomain(X0),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_21157]) ).
tcf(c_21178,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),a) = compose(codomain(X1),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21169,c_64]) ).
tcf(c_21182,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),a) = compose(codomain(X0),compose(domain(X1),a)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21168,c_94]) ).
tcf(c_21186,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),a) = compose(codomain(X0),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21173,c_867]) ).
tcf(c_21190,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),a) = compose(codomain(X0),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21172,c_868]) ).
tcf(c_21194,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),a) = compose(codomain(X0),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21170,c_73]) ).
tcf(c_21198,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),a) = compose(codomain(X0),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21171,c_282]) ).
tcf(c_21203,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),g) = compose(codomain(X1),compose(X0,g)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_20328,c_64]) ).
tcf(c_21220,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),g) = compose(codomain(X0),compose(a,g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_21203]) ).
tcf(c_21221,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),g) = compose(codomain(X0),compose(compose(a,b),g)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_21203]) ).
tcf(c_21222,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),g) = compose(codomain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(X1) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_21203]) ).
tcf(c_21223,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),g) = compose(codomain(X1),compose(domain(X0),g)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_21203]) ).
tcf(c_21224,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),g) = compose(codomain(X0),compose(g,g)) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_21203]) ).
tcf(c_21225,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),g) = compose(codomain(X0),compose(compose(h,compose(a,b)),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_21203]) ).
tcf(c_21226,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),g) = compose(codomain(X0),compose(compose(g,a),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_21203]) ).
tcf(c_21227,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),g) = compose(codomain(X0),compose(compose(h,a),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_21203]) ).
tcf(c_21228,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),g) = compose(codomain(X0),compose(g,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21224,c_110]) ).
tcf(c_21242,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),g) = compose(codomain(X0),compose(domain(X1),g)) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21223,c_63]) ).
tcf(c_21246,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),g) = compose(codomain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21222,c_95]) ).
tcf(c_21253,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),g) = compose(codomain(X0),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21227,c_506]) ).
tcf(c_21257,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),g) = compose(codomain(X0),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21226,c_502]) ).
tcf(c_21261,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),g) = compose(codomain(X0),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21221,c_231]) ).
tcf(c_21266,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),g) = compose(codomain(X0),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21225,c_829]) ).
tcf(c_21332,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),g),codomain(X0)) = compose(codomain(a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_20473]) ).
tcf(c_21352,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),g),codomain(X0)) = compose(codomain(a),compose(g,codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21332,c_446]) ).
tcf(c_21405,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),codomain(X0)) = compose(codomain(b),compose(g,codomain(X0))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_20591]) ).
tcf(c_21406,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(X1)) = compose(codomain(b),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_20591]) ).
tcf(c_21407,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),codomain(X0)),codomain(X1)) = compose(codomain(b),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_20591]) ).
tcf(c_21425,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),codomain(X0)) = compose(codomain(b),compose(g,codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21405,c_446]) ).
tcf(c_21435,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),codomain(X0)),codomain(X1)) = compose(codomain(b),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21407,c_64]) ).
tcf(c_21439,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X1)),codomain(X0)) = compose(codomain(b),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_21406,c_94]) ).
tcf(c_21604,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),h),a) = compose(codomain(domain(X0)),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_21174]) ).
tcf(c_21611,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),a) = compose(domain(X0),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21604,c_63]) ).
tcf(c_21661,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),b) = compose(X0,compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7698]) ).
tcf(c_21662,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),a) = compose(X0,compose(codomain(b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_7698]) ).
tcf(c_21663,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(a,b)) = compose(X0,compose(codomain(b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_7698]) ).
tcf(c_21664,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,codomain(b)),codomain(X0)) = compose(X1,compose(codomain(b),codomain(X0))) )
| ( codomain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_7698]) ).
tcf(c_21665,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(b)),domain(X1)) = compose(X0,compose(codomain(b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_7698]) ).
tcf(c_21666,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),g) = compose(X0,compose(codomain(b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_7698]) ).
tcf(c_21667,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(h,compose(a,b))) = compose(X0,compose(codomain(b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_7698]) ).
tcf(c_21668,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(g,a)) = compose(X0,compose(codomain(b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_7698]) ).
tcf(c_21669,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(h,a)) = compose(X0,compose(codomain(b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_7698]) ).
tcf(c_21753,plain,
( ( compose(compose(domain(h),a),a) = compose(domain(h),compose(a,a)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7730]) ).
tcf(c_21754,plain,
( ( compose(compose(domain(h),a),compose(a,b)) = compose(domain(h),compose(a,compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7730]) ).
tcf(c_21755,plain,
! [X0: $i] :
( ( compose(compose(domain(h),a),codomain(X0)) = compose(domain(h),compose(a,codomain(X0))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7730]) ).
tcf(c_21756,plain,
! [X0: $i] :
( ( compose(compose(domain(h),a),domain(X0)) = compose(domain(h),compose(a,domain(X0))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_7730]) ).
tcf(c_21757,plain,
( ( compose(compose(domain(h),a),g) = compose(domain(h),compose(a,g)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_7730]) ).
tcf(c_21758,plain,
( ( compose(compose(domain(h),a),compose(h,compose(a,b))) = compose(domain(h),compose(a,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7730]) ).
tcf(c_21759,plain,
( ( compose(compose(domain(h),a),compose(g,a)) = compose(domain(h),compose(a,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7730]) ).
tcf(c_21760,plain,
( ( compose(compose(domain(h),a),compose(h,a)) = compose(domain(h),compose(a,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7730]) ).
tcf(c_21833,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),codomain(g))) = compose(compose(h,compose(a,b)),codomain(g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_8178]) ).
tcf(c_21843,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),codomain(h))) = compose(compose(h,compose(a,b)),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21833,c_110]) ).
tcf(c_21862,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),domain(g))) = compose(compose(h,compose(a,b)),domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8275]) ).
tcf(c_21866,plain,
( ( compose(compose(h,compose(a,b)),compose(codomain(b),domain(h))) = compose(compose(h,compose(a,b)),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21862,c_446]) ).
tcf(c_21899,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(b)),X0) = compose(codomain(b),compose(domain(b),X0)) )
| ( codomain(b) != domain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_20613]) ).
tcf(c_21909,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),a) = compose(codomain(b),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_20613]) ).
tcf(c_21910,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(a,b)) = compose(codomain(b),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_20613]) ).
tcf(c_21912,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X0)),domain(X1)) = compose(codomain(b),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_20613]) ).
tcf(c_21913,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),g) = compose(codomain(b),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_20613]) ).
tcf(c_21914,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(h,compose(a,b))) = compose(codomain(b),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_20613]) ).
tcf(c_21915,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(g,a)) = compose(codomain(b),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_20613]) ).
tcf(c_21916,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(h,a)) = compose(codomain(b),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_20613]) ).
tcf(c_21917,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),X0) = compose(codomain(b),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_20613]) ).
tcf(c_21918,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),X0) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_21917,c_65]) ).
tcf(c_21932,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),codomain(a)),X0) = compose(codomain(b),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21899,c_70]) ).
tcf(c_22257,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),a) = compose(codomain(domain(X0)),compose(domain(X1),a)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_21182]) ).
tcf(c_22263,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(b)),a) = compose(codomain(X0),compose(domain(b),a)) )
| ( codomain(h) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_21182]) ).
tcf(c_22264,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),a) = compose(codomain(X0),compose(domain(a),a)) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_21182]) ).
tcf(c_22268,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),a) = compose(codomain(X0),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_21182]) ).
tcf(c_22272,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),a) = compose(codomain(X0),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22268,c_446]) ).
tcf(c_22276,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),a) = compose(codomain(X0),compose(domain(a),a)) )
| ( codomain(X0) != codomain(h) ) ),
inference(ground_joinability,[status(thm)],[c_22264,c_195]) ).
tcf(c_22277,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),a) = compose(codomain(X0),a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22276,c_195,c_211]) ).
tcf(c_22280,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),a) = compose(codomain(X0),compose(codomain(a),a)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_22263,c_70]) ).
tcf(c_22285,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),a) = compose(domain(X0),compose(domain(X1),a)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_22257,c_63]) ).
tcf(c_22308,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),g) = compose(codomain(X0),compose(codomain(g),g)) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_21246]) ).
tcf(c_22311,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(a,b))),g) = compose(codomain(X0),compose(codomain(compose(a,b)),g)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_21246]) ).
tcf(c_22314,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(h,a))),g) = compose(codomain(X0),compose(codomain(compose(h,a)),g)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_21246]) ).
tcf(c_22328,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),g) = compose(codomain(X0),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22308,c_110]) ).
tcf(c_22346,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),g) = compose(codomain(X0),compose(codomain(a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_22314,c_506]) ).
tcf(c_22351,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),g) = compose(codomain(X0),compose(codomain(b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22311,c_231]) ).
tcf(c_22387,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),a) = compose(codomain(domain(X0)),a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_22277]) ).
tcf(c_22397,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),a) = compose(domain(X0),a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22387,c_63]) ).
tcf(c_22419,plain,
( ( compose(compose(domain(g),codomain(h)),a) = compose(domain(g),a) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_22397]) ).
tcf(c_22425,plain,
( ( compose(compose(domain(h),codomain(h)),a) = compose(domain(h),a) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22419,c_446]) ).
tcf(c_22444,plain,
( ( compose(compose(domain(compose(a,b)),g),g) = compose(domain(compose(a,b)),compose(g,g)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_10602]) ).
tcf(c_22451,plain,
( ( compose(compose(domain(h),g),g) = compose(domain(h),compose(g,g)) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_10602]) ).
tcf(c_22452,plain,
( ( compose(domain(h),compose(g,g)) = compose(g,g) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22451,c_449]) ).
tcf(c_22458,plain,
( ( compose(compose(codomain(h),g),g) = compose(codomain(h),compose(g,g)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22444,c_73]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( compose(compose(domain(h),b),codomain(X0)) = compose(domain(h),compose(b,codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_10760]) ).
tcf(c_22482,plain,
! [X0: $i] :
( ( compose(compose(domain(h),b),domain(X0)) = compose(domain(h),compose(b,domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_10760]) ).
tcf(c_22484,plain,
( ( compose(compose(domain(h),b),compose(h,compose(a,b))) = compose(domain(h),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_10760]) ).
tcf(c_22485,plain,
( ( compose(compose(domain(h),b),compose(g,a)) = compose(domain(h),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_10760]) ).
tcf(c_22486,plain,
( ( compose(compose(domain(h),b),compose(h,a)) = compose(domain(h),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_10760]) ).
tcf(c_22557,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),codomain(g)) = compose(X0,compose(codomain(b),codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_110,c_21664]) ).
tcf(c_22564,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),codomain(b)) = compose(X0,compose(codomain(b),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_21664]) ).
tcf(c_22568,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),codomain(h)) = compose(X0,compose(codomain(b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22557,c_110]) ).
tcf(c_22591,plain,
( ( compose(compose(domain(h),a),codomain(g)) = compose(domain(h),compose(a,codomain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_21755]) ).
tcf(c_22594,plain,
( ( compose(compose(domain(h),a),codomain(compose(a,b))) = compose(domain(h),compose(a,codomain(compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_21755]) ).
tcf(c_22603,plain,
( ( compose(compose(domain(h),a),codomain(h)) = compose(domain(h),compose(a,codomain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22591,c_110]) ).
tcf(c_22609,plain,
( ( compose(compose(domain(h),a),codomain(b)) = compose(domain(h),compose(a,codomain(b))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22594,c_231]) ).
tcf(c_22623,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),codomain(a)),codomain(X0)) = compose(codomain(b),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_21932]) ).
tcf(c_22624,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),codomain(a)),domain(X0)) = compose(codomain(b),compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_21932]) ).
tcf(c_22671,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),codomain(b)) = compose(X0,codomain(b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(demodulation,[status(thm)],[c_22564,c_98]) ).
tcf(c_22726,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(b)),domain(X0)) = compose(g,compose(codomain(b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_11945]) ).
tcf(c_22854,plain,
( ( compose(compose(g,domain(h)),h) = compose(g,compose(domain(h),h)) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_13526]) ).
tcf(c_22861,plain,
( ( compose(compose(g,domain(h)),h) = compose(g,h) )
| ( codomain(h) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_22854,c_65]) ).
tcf(c_22877,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_5439]) ).
tcf(c_22900,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(a)),a) = compose(codomain(domain(X0)),compose(codomain(a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_22280]) ).
tcf(c_22915,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),a) = compose(domain(X0),compose(codomain(a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_22900,c_63]) ).
tcf(c_22932,plain,
! [X0: $i] :
( ( compose(compose(domain(a),domain(X0)),a) = compose(domain(a),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_22285]) ).
tcf(c_22945,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),a) = compose(domain(X0),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_22285]) ).
tcf(c_22951,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),a) = compose(codomain(h),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22932,c_195]) ).
tcf(c_22955,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),a) = compose(domain(X0),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22945,c_446]) ).
tcf(c_22990,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(codomain(X0))),a) = compose(codomain(h),compose(domain(codomain(X0)),a)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_22951]) ).
tcf(c_22992,plain,
( ( compose(compose(codomain(h),domain(g)),a) = compose(codomain(h),compose(domain(g),a)) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_22951]) ).
tcf(c_22998,plain,
( ( compose(compose(codomain(h),domain(h)),a) = compose(codomain(h),compose(domain(h),a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22992,c_446]) ).
tcf(c_23003,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),a) = compose(codomain(h),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22990,c_64]) ).
tcf(c_23098,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),domain(a)) = compose(X0,compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5440]) ).
tcf(c_23102,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),domain(g)) = compose(X0,compose(compose(h,compose(a,b)),domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_5440]) ).
tcf(c_23106,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),domain(h)) = compose(X0,compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23102,c_446]) ).
tcf(c_23110,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,compose(a,b))),codomain(h)) = compose(X0,compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23098,c_195]) ).
tcf(c_23136,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),g) = compose(codomain(domain(X0)),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_22328]) ).
tcf(c_23147,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),g) = compose(domain(X0),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23136,c_63]) ).
tcf(c_23267,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),g) = compose(compose(a,b),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_5441]) ).
tcf(c_23268,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_5441]) ).
tcf(c_23269,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),g) = compose(compose(g,a),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_5441]) ).
tcf(c_23270,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),g) = compose(compose(h,a),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_5441]) ).
tcf(c_23339,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),g) = compose(codomain(h),compose(domain(X0),g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_20342]) ).
tcf(c_23347,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),g) = compose(codomain(h),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23339,c_63]) ).
tcf(c_23374,plain,
( ( compose(compose(codomain(b),compose(a,b)),a) = compose(codomain(b),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_20589]) ).
tcf(c_23393,plain,
( ( compose(compose(codomain(b),compose(a,b)),a) = compose(codomain(b),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23374,c_73]) ).
tcf(c_23492,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),g) = compose(codomain(b),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20593]) ).
tcf(c_23516,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),g) = compose(codomain(b),compose(compose(h,compose(a,b)),g)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23492,c_829]) ).
tcf(c_23555,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(domain(X0),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_5442]) ).
tcf(c_23556,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(codomain(X0),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_5442]) ).
tcf(c_23557,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_5442]) ).
tcf(c_23558,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_5442]) ).
tcf(c_23559,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_5442]) ).
tcf(c_23560,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_5442]) ).
tcf(c_23597,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),codomain(g)) = compose(domain(X0),compose(codomain(a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_110,c_19101]) ).
tcf(c_23598,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(a)),codomain(domain(X0))) = compose(domain(X1),compose(codomain(a),codomain(domain(X0)))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_19101]) ).
tcf(c_23600,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),codomain(compose(a,b))) = compose(domain(X0),compose(codomain(a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_19101]) ).
tcf(c_23609,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),codomain(h)) = compose(domain(X0),compose(codomain(a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23597,c_110]) ).
tcf(c_23614,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(a)),domain(X0)) = compose(domain(X1),compose(codomain(a),domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23598,c_63]) ).
tcf(c_23618,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),codomain(b)) = compose(domain(X0),compose(codomain(a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23600,c_231]) ).
tcf(c_23705,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),compose(g,a)) = compose(domain(X0),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_5443]) ).
tcf(c_23706,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),compose(g,a)) = compose(codomain(X0),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_5443]) ).
tcf(c_23707,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_5443]) ).
tcf(c_23708,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_5443]) ).
tcf(c_23709,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_5443]) ).
tcf(c_23710,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_5443]) ).
tcf(c_23736,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),domain(a)) = compose(domain(X1),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_195,c_19106]) ).
tcf(c_23747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(codomain(X0))),domain(X2)) = compose(domain(X1),compose(domain(codomain(X0)),domain(X2))) )
| ( codomain(X0) != domain(X2) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_19106]) ).
tcf(c_23749,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(g)),domain(X0)) = compose(domain(X1),compose(domain(g),domain(X0))) )
| ( domain(X1) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19106]) ).
tcf(c_23755,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(h)),domain(X0)) = compose(domain(X1),compose(domain(h),domain(X0))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23749,c_446]) ).
tcf(c_23768,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(h)) = compose(domain(X1),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_23736,c_195]) ).
tcf(c_23779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),codomain(X0)),domain(X2)) = compose(domain(X1),compose(codomain(X0),domain(X2))) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_23747,c_64]) ).
tcf(c_23821,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),domain(a)) = compose(codomain(a),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_19415]) ).
tcf(c_23857,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(h)) = compose(codomain(a),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23821,c_195]) ).
tcf(c_23950,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),a) = compose(compose(g,a),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5846]) ).
tcf(c_23951,plain,
( ( compose(compose(compose(g,a),compose(a,b)),a) = compose(compose(g,a),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5846]) ).
tcf(c_23952,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),a) = compose(compose(g,a),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_5846]) ).
tcf(c_23953,plain,
( ( compose(compose(compose(g,a),compose(g,a)),a) = compose(compose(g,a),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_5846]) ).
tcf(c_23954,plain,
( ( compose(compose(compose(g,a),compose(h,a)),a) = compose(compose(g,a),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_5846]) ).
tcf(c_23955,plain,
( ( compose(compose(compose(g,a),h),a) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_5846]) ).
tcf(c_23959,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),a) = compose(compose(g,a),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23950,c_64]) ).
tcf(c_23964,plain,
( ( compose(compose(compose(g,a),compose(h,a)),a) = compose(compose(g,a),compose(compose(h,a),a)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23954,c_867]) ).
tcf(c_23968,plain,
( ( compose(compose(compose(g,a),compose(g,a)),a) = compose(compose(g,a),compose(compose(g,a),a)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23953,c_868]) ).
tcf(c_23972,plain,
( ( compose(compose(compose(g,a),compose(a,b)),a) = compose(compose(g,a),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23951,c_73]) ).
tcf(c_23976,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),a) = compose(compose(g,a),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23952,c_282]) ).
tcf(c_23992,plain,
( ( compose(compose(compose(g,a),a),g) = compose(compose(g,a),compose(a,g)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5850]) ).
tcf(c_23993,plain,
( ( compose(compose(compose(g,a),compose(a,b)),g) = compose(compose(g,a),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5850]) ).
tcf(c_23994,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),g) = compose(compose(g,a),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5850]) ).
tcf(c_23998,plain,
( ( compose(compose(compose(g,a),compose(g,a)),g) = compose(compose(g,a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5850]) ).
tcf(c_23999,plain,
( ( compose(compose(compose(g,a),compose(h,a)),g) = compose(compose(g,a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5850]) ).
tcf(c_24006,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),g) = compose(compose(g,a),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23994,c_95]) ).
tcf(c_24010,plain,
( ( compose(compose(compose(g,a),compose(h,a)),g) = compose(compose(g,a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23999,c_506]) ).
tcf(c_24013,plain,
( ( compose(compose(compose(g,a),compose(g,a)),g) = compose(compose(g,a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23998,c_502]) ).
tcf(c_24016,plain,
( ( compose(compose(compose(g,a),compose(a,b)),g) = compose(compose(g,a),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_23993,c_231]) ).
tcf(c_24060,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),a) = compose(compose(h,a),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6458]) ).
tcf(c_24061,plain,
( ( compose(compose(compose(h,a),compose(a,b)),a) = compose(compose(h,a),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6458]) ).
tcf(c_24062,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),a) = compose(compose(h,a),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_6458]) ).
tcf(c_24063,plain,
( ( compose(compose(compose(h,a),compose(g,a)),a) = compose(compose(h,a),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_6458]) ).
tcf(c_24064,plain,
( ( compose(compose(compose(h,a),compose(h,a)),a) = compose(compose(h,a),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_6458]) ).
tcf(c_24065,plain,
( ( compose(compose(compose(h,a),h),a) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_6458]) ).
tcf(c_24069,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),a) = compose(compose(h,a),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24060,c_64]) ).
tcf(c_24074,plain,
( ( compose(compose(compose(h,a),compose(h,a)),a) = compose(compose(h,a),compose(compose(h,a),a)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24064,c_867]) ).
tcf(c_24078,plain,
( ( compose(compose(compose(h,a),compose(g,a)),a) = compose(compose(h,a),compose(compose(g,a),a)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24063,c_868]) ).
tcf(c_24082,plain,
( ( compose(compose(compose(h,a),compose(a,b)),a) = compose(compose(h,a),compose(compose(a,b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24061,c_73]) ).
tcf(c_24086,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),a) = compose(compose(h,a),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24062,c_282]) ).
tcf(c_24105,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(a,b)) = compose(codomain(compose(a,b)),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_19698]) ).
tcf(c_24116,plain,
( ( compose(compose(codomain(b),b),compose(a,b)) = compose(codomain(b),compose(b,compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24105,c_231]) ).
tcf(c_24130,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,b)) = compose(codomain(b),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_20590]) ).
tcf(c_24151,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,b)) = compose(codomain(b),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24130,c_73]) ).
tcf(c_24187,plain,
( ( compose(compose(compose(h,a),a),g) = compose(compose(h,a),compose(a,g)) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_6462]) ).
tcf(c_24188,plain,
( ( compose(compose(compose(h,a),compose(a,b)),g) = compose(compose(h,a),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_6462]) ).
tcf(c_24189,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),g) = compose(compose(h,a),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_6462]) ).
tcf(c_24193,plain,
( ( compose(compose(compose(h,a),compose(g,a)),g) = compose(compose(h,a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_6462]) ).
tcf(c_24194,plain,
( ( compose(compose(compose(h,a),compose(h,a)),g) = compose(compose(h,a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_6462]) ).
tcf(c_24201,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),g) = compose(compose(h,a),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24189,c_95]) ).
tcf(c_24205,plain,
( ( compose(compose(compose(h,a),compose(h,a)),g) = compose(compose(h,a),compose(compose(h,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24194,c_506]) ).
tcf(c_24208,plain,
( ( compose(compose(compose(h,a),compose(g,a)),g) = compose(compose(h,a),compose(compose(g,a),g)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24193,c_502]) ).
tcf(c_24211,plain,
( ( compose(compose(compose(h,a),compose(a,b)),g) = compose(compose(h,a),compose(compose(a,b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24188,c_231]) ).
tcf(c_24352,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(a,b)),domain(X1)) = compose(domain(X0),compose(compose(a,b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( domain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_7269]) ).
tcf(c_24353,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),domain(X1)) = compose(domain(X0),compose(compose(h,compose(a,b)),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_7269]) ).
tcf(c_24354,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(g,a)),domain(X1)) = compose(domain(X0),compose(compose(g,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( domain(compose(g,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_502,c_7269]) ).
tcf(c_24355,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(h,a)),domain(X1)) = compose(domain(X0),compose(compose(h,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( domain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_7269]) ).
tcf(c_24382,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,a)),domain(X0)) = compose(domain(X1),compose(compose(h,a),domain(X0))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24355,c_867]) ).
tcf(c_24386,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(g,a)),domain(X0)) = compose(domain(X1),compose(compose(g,a),domain(X0))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24354,c_868]) ).
tcf(c_24390,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,b)),domain(X0)) = compose(domain(X1),compose(compose(a,b),domain(X0))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24352,c_73]) ).
tcf(c_24395,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(h,compose(a,b))),domain(X0)) = compose(domain(X1),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24353,c_282]) ).
tcf(c_24456,plain,
( ( compose(compose(compose(a,b),compose(h,a)),g) = compose(compose(a,b),compose(compose(h,a),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8942]) ).
tcf(c_24457,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),g) = compose(compose(h,compose(a,b)),compose(compose(h,a),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_8942]) ).
tcf(c_24562,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,a)) = compose(domain(X0),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_5445]) ).
tcf(c_24563,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,a)) = compose(codomain(X0),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_5445]) ).
tcf(c_24564,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_5445]) ).
tcf(c_24565,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_5445]) ).
tcf(c_24566,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_5445]) ).
tcf(c_24567,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_5445]) ).
tcf(c_24592,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X1)),codomain(domain(X0))) = compose(codomain(b),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_21439]) ).
tcf(c_24594,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(compose(a,b))) = compose(codomain(b),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_21439]) ).
tcf(c_24597,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(compose(h,a))) = compose(codomain(b),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_21439]) ).
tcf(c_24599,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(a)),codomain(X0)) = compose(codomain(b),compose(domain(a),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_21439]) ).
tcf(c_24603,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(g)),codomain(X0)) = compose(codomain(b),compose(domain(g),codomain(X0))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_21439]) ).
tcf(c_24607,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(b)) = compose(codomain(b),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24594,c_231]) ).
tcf(c_24610,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(h)),codomain(X0)) = compose(codomain(b),compose(domain(h),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24603,c_446]) ).
tcf(c_24614,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),codomain(h)),codomain(X0)) = compose(codomain(b),compose(codomain(h),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24599,c_195]) ).
tcf(c_24621,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(b),domain(X1)),domain(X0)) = compose(codomain(b),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24592,c_63]) ).
tcf(c_24627,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(a)) = compose(codomain(b),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24597,c_506]) ).
tcf(c_24664,plain,
( ( compose(compose(codomain(b),domain(a)),codomain(b)) = compose(codomain(b),compose(domain(a),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_24607]) ).
tcf(c_24666,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(codomain(X0))),codomain(b)) = compose(codomain(b),compose(domain(codomain(X0)),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_24607]) ).
tcf(c_24668,plain,
( ( compose(compose(codomain(b),domain(g)),codomain(b)) = compose(codomain(b),compose(domain(g),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_24607]) ).
tcf(c_24672,plain,
( ( compose(compose(codomain(b),domain(h)),codomain(b)) = compose(codomain(b),compose(domain(h),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24668,c_446]) ).
tcf(c_24675,plain,
( ( compose(compose(codomain(b),codomain(h)),codomain(b)) = compose(codomain(b),compose(codomain(h),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24664,c_195]) ).
tcf(c_24682,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),codomain(X0)),codomain(b)) = compose(codomain(b),compose(codomain(X0),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24666,c_64]) ).
tcf(c_24778,plain,
( ( compose(compose(compose(a,b),compose(g,a)),g) = compose(compose(a,b),compose(compose(g,a),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9092]) ).
tcf(c_24779,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),g) = compose(compose(h,compose(a,b)),compose(compose(g,a),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_9092]) ).
tcf(c_24855,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),domain(g)) = compose(domain(X0),compose(codomain(a),domain(g))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_446,c_23614]) ).
tcf(c_24860,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),domain(h)) = compose(domain(X0),compose(codomain(a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24855,c_446]) ).
tcf(c_24900,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),domain(g)) = compose(domain(X0),compose(g,domain(g))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10601]) ).
tcf(c_24906,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),domain(h)) = compose(domain(X0),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24900,c_446]) ).
tcf(c_25054,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),a) = compose(compose(a,b),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_13805]) ).
tcf(c_25055,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),a) = compose(compose(a,b),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_13805]) ).
tcf(c_25057,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),a) = compose(compose(a,b),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_13805]) ).
tcf(c_25058,plain,
( ( compose(compose(compose(a,b),compose(g,a)),a) = compose(compose(a,b),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_13805]) ).
tcf(c_25059,plain,
( ( compose(compose(compose(a,b),compose(h,a)),a) = compose(compose(a,b),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_13805]) ).
tcf(c_25060,plain,
( ( compose(compose(compose(a,b),h),a) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_13805]) ).
tcf(c_25064,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),a) = compose(compose(a,b),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25055,c_64]) ).
tcf(c_25068,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),a) = compose(compose(a,b),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25054,c_94]) ).
tcf(c_25072,plain,
( ( compose(compose(compose(a,b),compose(h,a)),a) = compose(compose(a,b),compose(compose(h,a),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25059,c_867]) ).
tcf(c_25076,plain,
( ( compose(compose(compose(a,b),compose(g,a)),a) = compose(compose(a,b),compose(compose(g,a),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25058,c_868]) ).
tcf(c_25080,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),a) = compose(compose(a,b),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25057,c_282]) ).
tcf(c_25094,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(a,b)) = compose(compose(g,a),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5847]) ).
tcf(c_25095,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(a,b)) = compose(compose(g,a),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5847]) ).
tcf(c_25096,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_5847]) ).
tcf(c_25097,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(a,b)) = compose(compose(g,a),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_5847]) ).
tcf(c_25098,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(a,b)) = compose(compose(g,a),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_5847]) ).
tcf(c_25099,plain,
( ( compose(compose(compose(g,a),h),compose(a,b)) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_5847]) ).
tcf(c_25103,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(a,b)) = compose(compose(g,a),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25094,c_64]) ).
tcf(c_25108,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(a,b)) = compose(compose(g,a),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25098,c_867]) ).
tcf(c_25112,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(a,b)) = compose(compose(g,a),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25097,c_868]) ).
tcf(c_25116,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(a,b)) = compose(compose(g,a),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25095,c_73]) ).
tcf(c_25120,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25096,c_282]) ).
tcf(c_25131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),codomain(domain(X0))),domain(X1)) = compose(domain(X2),compose(codomain(domain(X0)),domain(X1))) )
| ( domain(X0) != domain(X2) )
| ( codomain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_23779]) ).
tcf(c_25133,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(compose(a,b))),domain(X0)) = compose(domain(X1),compose(codomain(compose(a,b)),domain(X0))) )
| ( domain(X1) != codomain(b) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_23779]) ).
tcf(c_25140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(codomain(X1)),codomain(X0)),domain(X2)) = compose(domain(codomain(X1)),compose(codomain(X0),domain(X2))) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_23779]) ).
tcf(c_25162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),domain(X0)),domain(X1)) = compose(domain(X2),compose(domain(X0),domain(X1))) )
| ( domain(X0) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_25131,c_63]) ).
tcf(c_25174,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(b)),domain(X1)) = compose(domain(X0),compose(codomain(b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25133,c_231]) ).
tcf(c_25358,plain,
( ( compose(compose(compose(g,a),codomain(g)),g) = compose(compose(g,a),compose(codomain(g),g)) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_24006]) ).
tcf(c_25361,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),g) = compose(compose(g,a),compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_24006]) ).
tcf(c_25369,plain,
( ( compose(compose(compose(g,a),codomain(h)),g) = compose(compose(g,a),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25358,c_110]) ).
tcf(c_25375,plain,
( ( compose(compose(compose(g,a),codomain(b)),g) = compose(compose(g,a),compose(codomain(b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25361,c_231]) ).
tcf(c_25394,plain,
( ( compose(compose(compose(a,b),b),g) = compose(compose(a,b),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_13809]) ).
tcf(c_25397,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),g) = compose(compose(a,b),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_13809]) ).
tcf(c_25398,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),g) = compose(compose(a,b),compose(domain(X0),g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_13809]) ).
tcf(c_25407,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),g) = compose(compose(a,b),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25398,c_63]) ).
tcf(c_25411,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),g) = compose(compose(a,b),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25397,c_95]) ).
tcf(c_25449,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(a,b)) = compose(codomain(h),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_14309]) ).
tcf(c_25450,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X1)),codomain(X0)) = compose(codomain(h),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_14309]) ).
tcf(c_25451,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X0)),domain(X1)) = compose(codomain(h),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_14309]) ).
tcf(c_25453,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(h,compose(a,b))) = compose(codomain(h),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_14309]) ).
tcf(c_25454,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(g,a)) = compose(codomain(h),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_14309]) ).
tcf(c_25455,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(h,a)) = compose(codomain(h),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_14309]) ).
tcf(c_25456,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),X0) = compose(codomain(h),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_14309]) ).
tcf(c_25457,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),X0) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25456,c_65]) ).
tcf(c_25582,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),domain(X1)) = compose(compose(g,a),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5849]) ).
tcf(c_25583,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(a,b)),domain(X0)) = compose(compose(g,a),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5849]) ).
tcf(c_25584,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X0)) = compose(compose(g,a),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_5849]) ).
tcf(c_25585,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),domain(X0)) = compose(compose(g,a),compose(compose(g,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_5849]) ).
tcf(c_25586,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),domain(X0)) = compose(compose(g,a),compose(compose(h,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_5849]) ).
tcf(c_25608,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),domain(X1)) = compose(compose(g,a),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_25582,c_64]) ).
tcf(c_25616,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,a)),domain(X0)) = compose(compose(g,a),compose(compose(h,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25586,c_867]) ).
tcf(c_25620,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(g,a)),domain(X0)) = compose(compose(g,a),compose(compose(g,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25585,c_868]) ).
tcf(c_25624,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(a,b)),domain(X0)) = compose(compose(g,a),compose(compose(a,b),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25583,c_73]) ).
tcf(c_25629,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X0)) = compose(compose(g,a),compose(compose(h,compose(a,b)),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25584,c_282]) ).
tcf(c_25688,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(codomain(X0))),compose(a,b)) = compose(codomain(h),compose(domain(codomain(X0)),compose(a,b))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_25449]) ).
tcf(c_25690,plain,
( ( compose(compose(codomain(h),domain(g)),compose(a,b)) = compose(codomain(h),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_25449]) ).
tcf(c_25696,plain,
( ( compose(compose(codomain(h),domain(h)),compose(a,b)) = compose(codomain(h),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25690,c_446]) ).
tcf(c_25703,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),compose(a,b)) = compose(codomain(h),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25688,c_64]) ).
tcf(c_25774,plain,
( ( compose(compose(compose(h,a),codomain(g)),g) = compose(compose(h,a),compose(codomain(g),g)) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_24201]) ).
tcf(c_25777,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),g) = compose(compose(h,a),compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_24201]) ).
tcf(c_25785,plain,
( ( compose(compose(compose(h,a),codomain(h)),g) = compose(compose(h,a),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25774,c_110]) ).
tcf(c_25791,plain,
( ( compose(compose(compose(h,a),codomain(b)),g) = compose(compose(h,a),compose(codomain(b),g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25777,c_231]) ).
tcf(c_25844,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(h)),X0) = compose(domain(g),compose(codomain(h),X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_14321]) ).
tcf(c_25850,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(h)),X0) = compose(domain(h),compose(codomain(h),X0)) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25844,c_446]) ).
tcf(c_25867,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),b) = compose(codomain(X0),compose(codomain(b),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_15794]) ).
tcf(c_25868,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),a) = compose(codomain(X0),compose(codomain(b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_15794]) ).
tcf(c_25869,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(a,b)) = compose(codomain(X0),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_15794]) ).
tcf(c_25870,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(b)),codomain(X0)) = compose(codomain(X1),compose(codomain(b),codomain(X0))) )
| ( codomain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_15794]) ).
tcf(c_25871,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(b)),domain(X1)) = compose(codomain(X0),compose(codomain(b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_15794]) ).
tcf(c_25873,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(h,compose(a,b))) = compose(codomain(X0),compose(codomain(b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_15794]) ).
tcf(c_25874,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(g,a)) = compose(codomain(X0),compose(codomain(b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_15794]) ).
tcf(c_25875,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(h,a)) = compose(codomain(X0),compose(codomain(b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_15794]) ).
tcf(c_25912,plain,
( ( compose(compose(compose(g,a),a),compose(h,compose(a,b))) = compose(compose(g,a),compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5851]) ).
tcf(c_25913,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5851]) ).
tcf(c_25914,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5851]) ).
tcf(c_25918,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5851]) ).
tcf(c_25919,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5851]) ).
tcf(c_25926,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25914,c_95]) ).
tcf(c_25930,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25919,c_506]) ).
tcf(c_25933,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25918,c_502]) ).
tcf(c_25936,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_25913,c_231]) ).
tcf(c_25956,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),domain(a)) = compose(codomain(b),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_24621]) ).
tcf(c_25988,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(h)) = compose(codomain(b),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_25956,c_195]) ).
tcf(c_26219,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(a)),codomain(X0)) = compose(domain(h),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_16011]) ).
tcf(c_26220,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(a)),domain(X0)) = compose(domain(h),compose(codomain(a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_16011]) ).
tcf(c_26340,plain,
( ( compose(compose(compose(g,a),a),compose(g,a)) = compose(compose(g,a),compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5852]) ).
tcf(c_26341,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(g,a)) = compose(compose(g,a),compose(compose(a,b),compose(g,a))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5852]) ).
tcf(c_26342,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(g,a)) = compose(compose(g,a),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5852]) ).
tcf(c_26346,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(g,a)) = compose(compose(g,a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5852]) ).
tcf(c_26347,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(g,a)) = compose(compose(g,a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5852]) ).
tcf(c_26354,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(g,a)) = compose(compose(g,a),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26342,c_95]) ).
tcf(c_26358,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(g,a)) = compose(compose(g,a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26347,c_506]) ).
tcf(c_26361,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(g,a)) = compose(compose(g,a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26346,c_502]) ).
tcf(c_26364,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(g,a)) = compose(compose(g,a),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26341,c_231]) ).
tcf(c_26393,plain,
( ( compose(compose(compose(a,b),domain(a)),a) = compose(compose(a,b),compose(domain(a),a)) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_25068]) ).
tcf(c_26397,plain,
( ( compose(compose(compose(a,b),domain(g)),a) = compose(compose(a,b),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_25068]) ).
tcf(c_26401,plain,
( ( compose(compose(compose(a,b),domain(h)),a) = compose(compose(a,b),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26397,c_446]) ).
tcf(c_26405,plain,
( ( compose(compose(compose(a,b),domain(a)),a) = compose(compose(a,b),compose(domain(a),a)) )
| ( codomain(b) != codomain(h) ) ),
inference(ground_joinability,[status(thm)],[c_26393,c_195]) ).
tcf(c_26406,plain,
( ( compose(compose(compose(a,b),codomain(h)),a) = compose(compose(a,b),a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26405,c_195,c_211]) ).
tcf(c_26709,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X1)),codomain(domain(X0))) = compose(codomain(h),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_25450]) ).
tcf(c_26711,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(compose(a,b))) = compose(codomain(h),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_25450]) ).
tcf(c_26714,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(compose(h,a))) = compose(codomain(h),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_25450]) ).
tcf(c_26715,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(b)),codomain(X0)) = compose(codomain(h),compose(domain(b),codomain(X0))) )
| ( codomain(h) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_25450]) ).
tcf(c_26718,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(codomain(X0))),codomain(X1)) = compose(codomain(h),compose(domain(codomain(X0)),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_25450]) ).
tcf(c_26720,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(g)),codomain(X0)) = compose(codomain(h),compose(domain(g),codomain(X0))) )
| ( codomain(h) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_25450]) ).
tcf(c_26724,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(h)),codomain(X0)) = compose(codomain(h),compose(domain(h),codomain(X0))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26720,c_446]) ).
tcf(c_26732,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(a)),codomain(X0)) = compose(codomain(h),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26715,c_70]) ).
tcf(c_26737,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X1)),domain(X0)) = compose(codomain(h),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_26709,c_63]) ).
tcf(c_26742,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),codomain(X0)),codomain(X1)) = compose(codomain(h),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_26718,c_64]) ).
tcf(c_26746,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(a)) = compose(codomain(h),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26714,c_506]) ).
tcf(c_26751,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(b)) = compose(codomain(h),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_26711,c_231]) ).
tcf(c_26893,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),codomain(g)) = compose(codomain(X0),compose(codomain(b),codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_110,c_25870]) ).
tcf(c_26904,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),codomain(h)) = compose(codomain(X0),compose(codomain(b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_26893,c_110]) ).
tcf(c_26977,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),a) = compose(domain(X0),compose(codomain(compose(a,b)),a)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_16638]) ).
tcf(c_27009,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),a) = compose(domain(X0),compose(codomain(b),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_26977,c_231]) ).
tcf(c_27026,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),g) = compose(domain(X0),compose(codomain(compose(a,b)),g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_16642]) ).
tcf(c_27029,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),g) = compose(domain(X0),compose(codomain(compose(h,a)),g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_16642]) ).
tcf(c_27035,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(X0)),g) = compose(domain(g),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16642]) ).
tcf(c_27039,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(X0)),g) = compose(domain(h),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27035,c_446]) ).
tcf(c_27056,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),g) = compose(domain(X0),compose(codomain(a),g)) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_27029,c_506]) ).
tcf(c_27061,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),g) = compose(domain(X0),compose(codomain(b),g)) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_27026,c_231]) ).
tcf(c_27074,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(domain(X0))),g) = compose(domain(h),compose(codomain(domain(X0)),g)) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_27039]) ).
tcf(c_27081,plain,
! [X0: $i] :
( ( compose(compose(domain(h),domain(X0)),g) = compose(domain(h),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27074,c_63]) ).
tcf(c_27119,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(a,b)) = compose(domain(X0),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_16671]) ).
tcf(c_27120,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(b)),codomain(X0)) = compose(domain(X1),compose(codomain(b),codomain(X0))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_16671]) ).
tcf(c_27123,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(h,compose(a,b))) = compose(domain(X0),compose(codomain(b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_16671]) ).
tcf(c_27124,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(g,a)) = compose(domain(X0),compose(codomain(b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_16671]) ).
tcf(c_27125,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(h,a)) = compose(domain(X0),compose(codomain(b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_16671]) ).
tcf(c_27158,plain,
( ( compose(compose(compose(g,a),a),compose(h,a)) = compose(compose(g,a),compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_5854]) ).
tcf(c_27159,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(h,a)) = compose(compose(g,a),compose(compose(a,b),compose(h,a))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_5854]) ).
tcf(c_27160,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(h,a)) = compose(compose(g,a),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_5854]) ).
tcf(c_27164,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(h,a)) = compose(compose(g,a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_5854]) ).
tcf(c_27165,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(h,a)) = compose(compose(g,a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_5854]) ).
tcf(c_27172,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),compose(h,a)) = compose(compose(g,a),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_27160,c_95]) ).
tcf(c_27176,plain,
( ( compose(compose(compose(g,a),compose(h,a)),compose(h,a)) = compose(compose(g,a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27165,c_506]) ).
tcf(c_27179,plain,
( ( compose(compose(compose(g,a),compose(g,a)),compose(h,a)) = compose(compose(g,a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27164,c_502]) ).
tcf(c_27182,plain,
( ( compose(compose(compose(g,a),compose(a,b)),compose(h,a)) = compose(compose(g,a),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27159,c_231]) ).
tcf(c_27469,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(a)),codomain(domain(X0))) = compose(codomain(h),compose(codomain(a),codomain(domain(X0)))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_26732]) ).
tcf(c_27484,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(a)),domain(X0)) = compose(codomain(h),compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_27469,c_63]) ).
tcf(c_27505,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),domain(a)) = compose(codomain(h),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_26737]) ).
tcf(c_27524,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(h)) = compose(codomain(h),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27505,c_195]) ).
tcf(c_27567,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(compose(a,b))),codomain(X0)) = compose(codomain(h),compose(codomain(compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_26742]) ).
tcf(c_27571,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),codomain(g)) = compose(codomain(h),compose(codomain(X0),codomain(g))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_26742]) ).
tcf(c_27580,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),codomain(h)) = compose(codomain(h),compose(codomain(X0),codomain(h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27571,c_110]) ).
tcf(c_27604,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(b)),codomain(X0)) = compose(codomain(h),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_27567,c_231]) ).
tcf(c_27623,plain,
( ( compose(compose(codomain(h),domain(g)),codomain(h)) = compose(codomain(h),compose(domain(g),codomain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_27524]) ).
tcf(c_27629,plain,
( ( compose(compose(codomain(h),domain(h)),codomain(h)) = compose(codomain(h),compose(domain(h),codomain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27623,c_446]) ).
tcf(c_27719,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(compose(a,b))),X0) = compose(compose(g,a),compose(codomain(compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_5871]) ).
tcf(c_27738,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(b)),X0) = compose(compose(g,a),compose(codomain(b),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_27719,c_231]) ).
tcf(c_27769,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(b)),codomain(X0)) = compose(domain(g),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_27120]) ).
tcf(c_27773,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(b)),codomain(X0)) = compose(domain(h),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_27769,c_446]) ).
tcf(c_27929,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),g) = compose(domain(X0),compose(domain(g),g)) )
| ( domain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_20363]) ).
tcf(c_27949,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),g) = compose(domain(X0),compose(domain(g),g)) )
| ( domain(X0) != domain(h) ) ),
inference(ground_joinability,[status(thm)],[c_27929,c_446]) ).
tcf(c_27950,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),g) = compose(domain(X0),g) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_27949,c_446,c_449]) ).
tcf(c_28042,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(h)),g) = compose(domain(codomain(X0)),g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_27950]) ).
tcf(c_28055,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),g) = compose(codomain(X0),g) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28042,c_64]) ).
tcf(c_28084,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(a,b)),domain(X0)) = compose(codomain(a),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_20474]) ).
tcf(c_28086,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(g,a)),domain(X0)) = compose(codomain(a),compose(compose(g,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_20474]) ).
tcf(c_28087,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(h,a)),domain(X0)) = compose(codomain(a),compose(compose(h,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_20474]) ).
tcf(c_28114,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(h,a)),domain(X0)) = compose(codomain(a),compose(compose(h,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_28087,c_867]) ).
tcf(c_28118,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(g,a)),domain(X0)) = compose(codomain(a),compose(compose(g,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_28086,c_868]) ).
tcf(c_28122,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),compose(a,b)),domain(X0)) = compose(codomain(a),compose(compose(a,b),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_28084,c_73]) ).
tcf(c_28146,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),compose(a,b)),domain(X0)) = compose(codomain(b),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_20592]) ).
tcf(c_28147,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),compose(h,compose(a,b))),domain(X0)) = compose(codomain(b),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_20592]) ).
tcf(c_28184,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),compose(a,b)),domain(X0)) = compose(codomain(b),compose(compose(a,b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_28146,c_73]) ).
tcf(c_28189,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),compose(h,compose(a,b))),domain(X0)) = compose(codomain(b),compose(compose(h,compose(a,b)),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_28147,c_282]) ).
tcf(c_28269,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),g) = compose(codomain(domain(X0)),compose(domain(X1),g)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_21242]) ).
tcf(c_28289,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),g) = compose(domain(X0),compose(domain(X1),g)) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_28269,c_63]) ).
tcf(c_28313,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),g),codomain(domain(X0))) = compose(codomain(a),compose(g,codomain(domain(X0)))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_21352]) ).
tcf(c_28323,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),g),domain(X0)) = compose(codomain(a),compose(g,domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28313,c_63]) ).
tcf(c_28461,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),codomain(domain(X0))) = compose(codomain(b),compose(g,codomain(domain(X0)))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_21425]) ).
tcf(c_28471,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),domain(X0)) = compose(codomain(b),compose(g,domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28461,c_63]) ).
tcf(c_28497,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),domain(g)) = compose(X0,compose(codomain(b),domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_21665]) ).
tcf(c_28501,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),domain(h)) = compose(X0,compose(codomain(b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_28497,c_446]) ).
tcf(c_28528,plain,
( ( compose(compose(domain(h),a),domain(g)) = compose(domain(h),compose(a,domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_21756]) ).
tcf(c_28533,plain,
( ( compose(compose(domain(h),a),domain(h)) = compose(domain(h),compose(a,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28528,c_446]) ).
tcf(c_28698,plain,
( ( compose(compose(domain(h),b),domain(a)) = compose(domain(h),compose(b,domain(a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_22482]) ).
tcf(c_28702,plain,
( ( compose(compose(domain(h),b),domain(g)) = compose(domain(h),compose(b,domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_22482]) ).
tcf(c_28706,plain,
( ( compose(compose(domain(h),b),domain(h)) = compose(domain(h),compose(b,domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28702,c_446]) ).
tcf(c_28710,plain,
( ( compose(compose(domain(h),b),codomain(h)) = compose(domain(h),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28698,c_195]) ).
tcf(c_28827,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(a,b)) = compose(compose(h,a),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6459]) ).
tcf(c_28828,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(a,b)) = compose(compose(h,a),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6459]) ).
tcf(c_28829,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_6459]) ).
tcf(c_28830,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(a,b)) = compose(compose(h,a),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_6459]) ).
tcf(c_28831,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(a,b)) = compose(compose(h,a),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_6459]) ).
tcf(c_28832,plain,
( ( compose(compose(compose(h,a),h),compose(a,b)) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_6459]) ).
tcf(c_28836,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(a,b)) = compose(compose(h,a),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_28827,c_64]) ).
tcf(c_28841,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(a,b)) = compose(compose(h,a),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28831,c_867]) ).
tcf(c_28845,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(a,b)) = compose(compose(h,a),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28830,c_868]) ).
tcf(c_28849,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(a,b)) = compose(compose(h,a),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28828,c_73]) ).
tcf(c_28853,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28829,c_282]) ).
tcf(c_28886,plain,
( ( compose(compose(domain(compose(a,b)),g),domain(h)) = compose(domain(compose(a,b)),compose(g,domain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_24906]) ).
tcf(c_28887,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),domain(h)) = compose(domain(codomain(X0)),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_24906]) ).
tcf(c_28893,plain,
( ( compose(compose(domain(h),g),domain(h)) = compose(domain(h),compose(g,domain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_24906]) ).
tcf(c_28894,plain,
( ( compose(domain(h),compose(g,domain(h))) = compose(g,domain(h)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28893,c_449]) ).
tcf(c_28900,plain,
( ( compose(compose(codomain(h),g),domain(h)) = compose(codomain(h),compose(g,domain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28886,c_73]) ).
tcf(c_28905,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),domain(h)) = compose(codomain(X0),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28887,c_64]) ).
tcf(c_28923,plain,
( ( compose(compose(domain(h),codomain(h)),b) = compose(domain(h),compose(codomain(h),b)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_25850]) ).
tcf(c_28925,plain,
( ( compose(compose(domain(h),codomain(h)),compose(a,b)) = compose(domain(h),compose(codomain(h),compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_25850]) ).
tcf(c_28926,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(h)),codomain(X0)) = compose(domain(h),compose(codomain(h),codomain(X0))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_25850]) ).
tcf(c_28927,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(h)),domain(X0)) = compose(domain(h),compose(codomain(h),domain(X0))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_25850]) ).
tcf(c_28937,plain,
( ( compose(compose(domain(h),codomain(h)),compose(a,b)) = compose(domain(h),compose(a,b)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_28925,c_108]) ).
tcf(c_29168,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),b) = compose(compose(h,compose(a,b)),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_9348]) ).
tcf(c_29169,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),b) = compose(compose(h,compose(a,b)),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_9348]) ).
tcf(c_29171,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),b) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_9348]) ).
tcf(c_29179,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),b) = compose(compose(h,compose(a,b)),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29169,c_64]) ).
tcf(c_29183,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),b) = compose(compose(h,compose(a,b)),compose(domain(X0),b)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29168,c_94]) ).
tcf(c_29188,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),b) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29171,c_282]) ).
tcf(c_29213,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(a,b)) = compose(compose(a,b),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_13806]) ).
tcf(c_29214,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(a,b)) = compose(compose(a,b),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_13806]) ).
tcf(c_29216,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_13806]) ).
tcf(c_29217,plain,
( ( compose(compose(compose(a,b),compose(g,a)),compose(a,b)) = compose(compose(a,b),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_13806]) ).
tcf(c_29218,plain,
( ( compose(compose(compose(a,b),compose(h,a)),compose(a,b)) = compose(compose(a,b),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_13806]) ).
tcf(c_29219,plain,
( ( compose(compose(compose(a,b),h),compose(a,b)) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_13806]) ).
tcf(c_29223,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(a,b)) = compose(compose(a,b),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29214,c_64]) ).
tcf(c_29227,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(a,b)) = compose(compose(a,b),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29213,c_94]) ).
tcf(c_29231,plain,
( ( compose(compose(compose(a,b),compose(h,a)),compose(a,b)) = compose(compose(a,b),compose(compose(h,a),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29218,c_867]) ).
tcf(c_29235,plain,
( ( compose(compose(compose(a,b),compose(g,a)),compose(a,b)) = compose(compose(a,b),compose(compose(g,a),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29217,c_868]) ).
tcf(c_29239,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29216,c_282]) ).
tcf(c_29297,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),domain(X1)) = compose(compose(h,a),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6461]) ).
tcf(c_29298,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(a,b)),domain(X0)) = compose(compose(h,a),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6461]) ).
tcf(c_29299,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X0)) = compose(compose(h,a),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_829,c_6461]) ).
tcf(c_29300,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),domain(X0)) = compose(compose(h,a),compose(compose(g,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_502,c_6461]) ).
tcf(c_29301,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),domain(X0)) = compose(compose(h,a),compose(compose(h,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_6461]) ).
tcf(c_29323,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),domain(X1)) = compose(compose(h,a),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_29297,c_64]) ).
tcf(c_29331,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,a)),domain(X0)) = compose(compose(h,a),compose(compose(h,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29301,c_867]) ).
tcf(c_29335,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(g,a)),domain(X0)) = compose(compose(h,a),compose(compose(g,a),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29300,c_868]) ).
tcf(c_29339,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(a,b)),domain(X0)) = compose(compose(h,a),compose(compose(a,b),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29298,c_73]) ).
tcf(c_29344,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X0)) = compose(compose(h,a),compose(compose(h,compose(a,b)),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29299,c_282]) ).
tcf(c_29399,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),compose(a,b)) = compose(domain(X0),compose(codomain(compose(h,a)),compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_16639]) ).
tcf(c_29426,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(a,b)) = compose(domain(X0),compose(codomain(a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29399,c_506]) ).
tcf(c_29483,plain,
( ( compose(compose(compose(h,a),a),compose(h,compose(a,b))) = compose(compose(h,a),compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_6463]) ).
tcf(c_29484,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_6463]) ).
tcf(c_29485,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_6463]) ).
tcf(c_29489,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_6463]) ).
tcf(c_29490,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_6463]) ).
tcf(c_29497,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29485,c_95]) ).
tcf(c_29501,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29490,c_506]) ).
tcf(c_29504,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29489,c_502]) ).
tcf(c_29507,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29484,c_231]) ).
tcf(c_29519,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X1)),codomain(domain(X0))) = compose(compose(g,a),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_17223]) ).
tcf(c_29521,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(compose(a,b))) = compose(compose(g,a),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_17223]) ).
tcf(c_29524,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(compose(h,a))) = compose(compose(g,a),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_17223]) ).
tcf(c_29526,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(a)),codomain(X0)) = compose(compose(g,a),compose(domain(a),codomain(X0))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17223]) ).
tcf(c_29530,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(g)),codomain(X0)) = compose(compose(g,a),compose(domain(g),codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17223]) ).
tcf(c_29534,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(a)) = compose(compose(g,a),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29524,c_506]) ).
tcf(c_29538,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(h)),codomain(X0)) = compose(compose(g,a),compose(domain(h),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29530,c_446]) ).
tcf(c_29542,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(h)),codomain(X0)) = compose(compose(g,a),compose(codomain(h),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29526,c_195]) ).
tcf(c_29549,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(g,a),domain(X1)),domain(X0)) = compose(compose(g,a),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_29519,c_63]) ).
tcf(c_29555,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(b)) = compose(compose(g,a),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29521,c_231]) ).
tcf(c_29575,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X1)),codomain(domain(X0))) = compose(compose(h,a),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_17469]) ).
tcf(c_29577,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(compose(a,b))) = compose(compose(h,a),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_17469]) ).
tcf(c_29580,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(compose(h,a))) = compose(compose(h,a),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_17469]) ).
tcf(c_29582,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(a)),codomain(X0)) = compose(compose(h,a),compose(domain(a),codomain(X0))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_17469]) ).
tcf(c_29586,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(g)),codomain(X0)) = compose(compose(h,a),compose(domain(g),codomain(X0))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17469]) ).
tcf(c_29590,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(a)) = compose(compose(h,a),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29580,c_506]) ).
tcf(c_29594,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(h)),codomain(X0)) = compose(compose(h,a),compose(domain(h),codomain(X0))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29586,c_446]) ).
tcf(c_29598,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(h)),codomain(X0)) = compose(compose(h,a),compose(codomain(h),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29582,c_195]) ).
tcf(c_29605,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,a),domain(X1)),domain(X0)) = compose(compose(h,a),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_29575,c_63]) ).
tcf(c_29611,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(b)) = compose(compose(h,a),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29577,c_231]) ).
tcf(c_29649,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),compose(a,b)) = compose(codomain(X1),compose(X0,compose(a,b))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(demodulation,[status(thm)],[c_18243,c_64]) ).
tcf(c_29660,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(a,b)) = compose(codomain(X1),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(domain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_29649]) ).
tcf(c_29661,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(a,b)) = compose(codomain(X1),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( domain(codomain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_29649]) ).
tcf(c_29662,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(a,b)) = compose(codomain(X0),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(a,b)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_231,c_29649]) ).
tcf(c_29663,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),compose(a,b)) = compose(codomain(X0),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_829,c_29649]) ).
tcf(c_29664,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),compose(a,b)) = compose(codomain(X0),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_502,c_29649]) ).
tcf(c_29665,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),compose(a,b)) = compose(codomain(X0),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_29649]) ).
tcf(c_29666,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),compose(a,b)) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_29649]) ).
tcf(c_29670,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(a,b)) = compose(codomain(X1),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_29661,c_64]) ).
tcf(c_29674,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),compose(a,b)) = compose(codomain(X0),compose(domain(X1),compose(a,b))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_29660,c_94]) ).
tcf(c_29678,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),compose(a,b)) = compose(codomain(X0),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29665,c_867]) ).
tcf(c_29682,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),compose(a,b)) = compose(codomain(X0),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29664,c_868]) ).
tcf(c_29686,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(a,b)) = compose(codomain(X0),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29662,c_73]) ).
tcf(c_29690,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),compose(a,b)) = compose(codomain(X0),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29663,c_282]) ).
tcf(c_29716,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),h),compose(a,b)) = compose(codomain(domain(X0)),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_29666]) ).
tcf(c_29723,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),compose(a,b)) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29716,c_63]) ).
tcf(c_29758,plain,
( ( compose(compose(compose(g,a),domain(a)),codomain(a)) = compose(compose(g,a),compose(domain(a),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29534]) ).
tcf(c_29760,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(codomain(X0))),codomain(a)) = compose(compose(g,a),compose(domain(codomain(X0)),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_29534]) ).
tcf(c_29762,plain,
( ( compose(compose(compose(g,a),domain(g)),codomain(a)) = compose(compose(g,a),compose(domain(g),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29534]) ).
tcf(c_29767,plain,
( ( compose(compose(compose(g,a),domain(h)),codomain(a)) = compose(compose(g,a),compose(domain(h),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29762,c_446]) ).
tcf(c_29770,plain,
( ( compose(compose(compose(g,a),codomain(h)),codomain(a)) = compose(compose(g,a),compose(codomain(h),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29758,c_195]) ).
tcf(c_29774,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(X0)),codomain(a)) = compose(compose(g,a),compose(codomain(X0),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29760,c_64]) ).
tcf(c_29804,plain,
( ( compose(compose(compose(h,a),domain(a)),codomain(a)) = compose(compose(h,a),compose(domain(a),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29590]) ).
tcf(c_29806,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(codomain(X0))),codomain(a)) = compose(compose(h,a),compose(domain(codomain(X0)),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_29590]) ).
tcf(c_29808,plain,
( ( compose(compose(compose(h,a),domain(g)),codomain(a)) = compose(compose(h,a),compose(domain(g),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29590]) ).
tcf(c_29813,plain,
( ( compose(compose(compose(h,a),domain(h)),codomain(a)) = compose(compose(h,a),compose(domain(h),codomain(a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29808,c_446]) ).
tcf(c_29816,plain,
( ( compose(compose(compose(h,a),codomain(h)),codomain(a)) = compose(compose(h,a),compose(codomain(h),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29804,c_195]) ).
tcf(c_29820,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),codomain(a)) = compose(compose(h,a),compose(codomain(X0),codomain(a))) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29806,c_64]) ).
tcf(c_29842,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),codomain(a)) = compose(compose(g,a),compose(codomain(compose(a,b)),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_29774]) ).
tcf(c_29853,plain,
( ( compose(compose(compose(g,a),codomain(b)),codomain(a)) = compose(compose(g,a),compose(codomain(b),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29842,c_231]) ).
tcf(c_29872,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),codomain(a)) = compose(compose(h,a),compose(codomain(compose(a,b)),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_29820]) ).
tcf(c_29883,plain,
( ( compose(compose(compose(h,a),codomain(b)),codomain(a)) = compose(compose(h,a),compose(codomain(b),codomain(a))) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_29872,c_231]) ).
tcf(c_29894,plain,
( ( compose(compose(compose(h,a),a),compose(g,a)) = compose(compose(h,a),compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_6464]) ).
tcf(c_29895,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(g,a)) = compose(compose(h,a),compose(compose(a,b),compose(g,a))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_6464]) ).
tcf(c_29896,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(g,a)) = compose(compose(h,a),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_6464]) ).
tcf(c_29900,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(g,a)) = compose(compose(h,a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_6464]) ).
tcf(c_29901,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(g,a)) = compose(compose(h,a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_6464]) ).
tcf(c_29908,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(g,a)) = compose(compose(h,a),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_29896,c_95]) ).
tcf(c_29912,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(g,a)) = compose(compose(h,a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29901,c_506]) ).
tcf(c_29915,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(g,a)) = compose(compose(h,a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29900,c_502]) ).
tcf(c_29918,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(g,a)) = compose(compose(h,a),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_29895,c_231]) ).
tcf(c_30010,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X1)),codomain(domain(X0))) = compose(compose(a,b),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_18624]) ).
tcf(c_30012,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(compose(a,b))) = compose(compose(a,b),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_18624]) ).
tcf(c_30015,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(compose(h,a))) = compose(compose(a,b),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_18624]) ).
tcf(c_30016,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(b)),codomain(X0)) = compose(compose(a,b),compose(domain(b),codomain(X0))) )
| ( codomain(b) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_18624]) ).
tcf(c_30017,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(a)),codomain(X0)) = compose(compose(a,b),compose(domain(a),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_18624]) ).
tcf(c_30021,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(g)),codomain(X0)) = compose(compose(a,b),compose(domain(g),codomain(X0))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_18624]) ).
tcf(c_30025,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(b)) = compose(compose(a,b),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_30012,c_231]) ).
tcf(c_30028,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(h)),codomain(X0)) = compose(compose(a,b),compose(domain(h),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30021,c_446]) ).
tcf(c_30032,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(h)),codomain(X0)) = compose(compose(a,b),compose(codomain(h),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30017,c_195]) ).
tcf(c_30036,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(a)),codomain(X0)) = compose(compose(a,b),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_30016,c_70]) ).
tcf(c_30042,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X1)),domain(X0)) = compose(compose(a,b),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_30010,c_63]) ).
tcf(c_30048,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(a)) = compose(compose(a,b),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_30015,c_506]) ).
tcf(c_30109,plain,
( ( compose(compose(compose(a,b),domain(a)),codomain(b)) = compose(compose(a,b),compose(domain(a),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_30025]) ).
tcf(c_30111,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(codomain(X0))),codomain(b)) = compose(compose(a,b),compose(domain(codomain(X0)),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_30025]) ).
tcf(c_30113,plain,
( ( compose(compose(compose(a,b),domain(g)),codomain(b)) = compose(compose(a,b),compose(domain(g),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_30025]) ).
tcf(c_30117,plain,
( ( compose(compose(compose(a,b),domain(h)),codomain(b)) = compose(compose(a,b),compose(domain(h),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30113,c_446]) ).
tcf(c_30120,plain,
( ( compose(compose(compose(a,b),codomain(h)),codomain(b)) = compose(compose(a,b),compose(codomain(h),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30109,c_195]) ).
tcf(c_30127,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(b)) = compose(compose(a,b),compose(codomain(X0),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_30111,c_64]) ).
tcf(c_30192,plain,
( ( compose(compose(compose(h,a),a),compose(h,a)) = compose(compose(h,a),compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_6465]) ).
tcf(c_30193,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(h,a)) = compose(compose(h,a),compose(compose(a,b),compose(h,a))) )
| ( codomain(a) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_6465]) ).
tcf(c_30194,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(h,a)) = compose(compose(h,a),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_6465]) ).
tcf(c_30198,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(h,a)) = compose(compose(h,a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_6465]) ).
tcf(c_30199,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(h,a)) = compose(compose(h,a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_6465]) ).
tcf(c_30206,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(X0)),compose(h,a)) = compose(compose(h,a),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_30194,c_95]) ).
tcf(c_30210,plain,
( ( compose(compose(compose(h,a),compose(h,a)),compose(h,a)) = compose(compose(h,a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30199,c_506]) ).
tcf(c_30213,plain,
( ( compose(compose(compose(h,a),compose(g,a)),compose(h,a)) = compose(compose(h,a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30198,c_502]) ).
tcf(c_30216,plain,
( ( compose(compose(compose(h,a),compose(a,b)),compose(h,a)) = compose(compose(h,a),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30193,c_231]) ).
tcf(c_30313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),domain(X2)) = compose(codomain(X1),compose(codomain(X0),domain(X2))) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_25140,c_64]) ).
tcf(c_30323,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(g)),domain(X1)) = compose(codomain(X0),compose(codomain(g),domain(X1))) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_30313]) ).
tcf(c_30324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X2),codomain(domain(X0))),domain(X1)) = compose(codomain(X2),compose(codomain(domain(X0)),domain(X1))) )
| ( codomain(X2) != domain(X0) )
| ( codomain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_30313]) ).
tcf(c_30329,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(compose(h,a))),domain(X0)) = compose(codomain(X1),compose(codomain(compose(h,a)),domain(X0))) )
| ( codomain(X1) != codomain(a) )
| ( codomain(compose(h,a)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_506,c_30313]) ).
tcf(c_30340,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(h)),domain(X1)) = compose(codomain(X0),compose(codomain(h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30323,c_110]) ).
tcf(c_30351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X0),domain(X1)),domain(X2)) = compose(codomain(X0),compose(domain(X1),domain(X2))) )
| ( domain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_30324,c_63]) ).
tcf(c_30358,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),codomain(a)),domain(X1)) = compose(codomain(X0),compose(codomain(a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_30329,c_506]) ).
tcf(c_30376,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),domain(X1)) = compose(codomain(domain(X0)),compose(codomain(h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_30340]) ).
tcf(c_30385,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(h)),domain(X1)) = compose(domain(X0),compose(codomain(h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30376,c_63]) ).
tcf(c_30399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),domain(X2)) = compose(codomain(domain(X0)),compose(domain(X1),domain(X2))) )
| ( domain(X1) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_30351]) ).
tcf(c_30410,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(g)),domain(X1)) = compose(codomain(X0),compose(domain(g),domain(X1))) )
| ( domain(X1) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_30351]) ).
tcf(c_30414,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(h)),domain(X1)) = compose(codomain(X0),compose(domain(h),domain(X1))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30410,c_446]) ).
tcf(c_30421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X0),domain(X1)),domain(X2)) = compose(domain(X0),compose(domain(X1),domain(X2))) )
| ( domain(X1) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_30399,c_63]) ).
tcf(c_30467,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(compose(a,b))),X0) = compose(compose(h,a),compose(codomain(compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_6482]) ).
tcf(c_30486,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(b)),X0) = compose(compose(h,a),compose(codomain(b),X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_30467,c_231]) ).
tcf(c_30498,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(g,a)) = compose(domain(X0),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7272]) ).
tcf(c_30499,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),compose(g,a)) = compose(domain(X0),compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7272]) ).
tcf(c_30500,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(g,a)) = compose(domain(X0),compose(compose(a,b),compose(g,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7272]) ).
tcf(c_30502,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(g,a)) = compose(domain(X1),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7272]) ).
tcf(c_30505,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(g,a)) = compose(domain(X0),compose(compose(g,a),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7272]) ).
tcf(c_30506,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(g,a)) = compose(domain(X0),compose(compose(h,a),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7272]) ).
tcf(c_30508,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),compose(g,a)) = compose(domain(a),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7272]) ).
tcf(c_30510,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),compose(g,a)) = compose(domain(codomain(X1)),compose(X0,compose(g,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7272]) ).
tcf(c_30516,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(g,a)) = compose(domain(X0),compose(X0,compose(g,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7272]) ).
tcf(c_30517,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(g,a))) = compose(X0,compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30516,c_65]) ).
tcf(c_30524,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),compose(g,a)) = compose(codomain(h),compose(X0,compose(g,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30508,c_195]) ).
tcf(c_30542,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(g,a)) = compose(domain(X1),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_30502,c_63]) ).
tcf(c_30550,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(g,a)) = compose(domain(X0),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30506,c_506]) ).
tcf(c_30554,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(g,a)) = compose(domain(X0),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30505,c_502]) ).
tcf(c_30558,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(g,a)) = compose(domain(X0),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30500,c_231]) ).
tcf(c_30617,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_30517]) ).
tcf(c_30618,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),compose(g,a))) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_30517]) ).
tcf(c_30619,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),compose(g,a))) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_30517]) ).
tcf(c_30622,plain,
( ( compose(domain(h),compose(compose(h,a),compose(g,a))) = compose(compose(h,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30619,c_867]) ).
tcf(c_30625,plain,
( ( compose(domain(h),compose(compose(g,a),compose(g,a))) = compose(compose(g,a),compose(g,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30618,c_868]) ).
tcf(c_30629,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30617,c_282]) ).
tcf(c_30770,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(h,a)) = compose(domain(X0),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7273]) ).
tcf(c_30771,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),compose(h,a)) = compose(domain(X0),compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7273]) ).
tcf(c_30772,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(h,a)) = compose(domain(X0),compose(compose(a,b),compose(h,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7273]) ).
tcf(c_30774,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(h,a)) = compose(domain(X1),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7273]) ).
tcf(c_30777,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(h,a)) = compose(domain(X0),compose(compose(g,a),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7273]) ).
tcf(c_30778,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(h,a)) = compose(domain(X0),compose(compose(h,a),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7273]) ).
tcf(c_30780,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),compose(h,a)) = compose(domain(a),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7273]) ).
tcf(c_30782,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),compose(h,a)) = compose(domain(codomain(X1)),compose(X0,compose(h,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7273]) ).
tcf(c_30788,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(h,a)) = compose(domain(X0),compose(X0,compose(h,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7273]) ).
tcf(c_30789,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(h,a))) = compose(X0,compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30788,c_65]) ).
tcf(c_30796,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),compose(h,a)) = compose(codomain(h),compose(X0,compose(h,a))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30780,c_195]) ).
tcf(c_30814,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(h,a)) = compose(domain(X1),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_30774,c_63]) ).
tcf(c_30822,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(h,a)) = compose(domain(X0),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30778,c_506]) ).
tcf(c_30826,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(h,a)) = compose(domain(X0),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30777,c_502]) ).
tcf(c_30830,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(h,a)) = compose(domain(X0),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30772,c_231]) ).
tcf(c_30922,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_30789]) ).
tcf(c_30923,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),compose(h,a))) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_30789]) ).
tcf(c_30924,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),compose(h,a))) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_30789]) ).
tcf(c_30927,plain,
( ( compose(domain(h),compose(compose(h,a),compose(h,a))) = compose(compose(h,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30924,c_867]) ).
tcf(c_30930,plain,
( ( compose(domain(h),compose(compose(g,a),compose(h,a))) = compose(compose(g,a),compose(h,a)) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30923,c_868]) ).
tcf(c_30934,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_30922,c_282]) ).
tcf(c_31008,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),compose(h,compose(a,b))) = compose(domain(X0),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7306]) ).
tcf(c_31112,plain,
( ( compose(compose(domain(a),b),compose(g,a)) = compose(domain(a),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_30498]) ).
tcf(c_31114,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(g,a)) = compose(domain(codomain(X0)),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_30498]) ).
tcf(c_31122,plain,
( ( compose(compose(codomain(h),b),compose(g,a)) = compose(codomain(h),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31112,c_195]) ).
tcf(c_31127,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(g,a)) = compose(codomain(X0),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_31114,c_64]) ).
tcf(c_31143,plain,
( ( compose(compose(domain(a),b),compose(h,a)) = compose(domain(a),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_30770]) ).
tcf(c_31145,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(h,a)) = compose(domain(codomain(X0)),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_30770]) ).
tcf(c_31153,plain,
( ( compose(compose(codomain(h),b),compose(h,a)) = compose(codomain(h),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31143,c_195]) ).
tcf(c_31158,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(h,a)) = compose(codomain(X0),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_31145,c_64]) ).
tcf(c_31176,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(g,a)) = compose(codomain(compose(a,b)),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_31127]) ).
tcf(c_31187,plain,
( ( compose(compose(codomain(b),b),compose(g,a)) = compose(codomain(b),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_31176,c_231]) ).
tcf(c_31204,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),compose(h,compose(a,b))) = compose(domain(X0),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7310]) ).
tcf(c_31221,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(h,a)),codomain(X0)) = compose(codomain(X1),compose(compose(h,a),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7588]) ).
tcf(c_31222,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),domain(X1)) = compose(codomain(X0),compose(compose(h,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7588]) ).
tcf(c_31224,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),compose(h,compose(a,b))) = compose(codomain(X0),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7588]) ).
tcf(c_31225,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),compose(g,a)) = compose(codomain(X0),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7588]) ).
tcf(c_31226,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),compose(h,a)) = compose(codomain(X0),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7588]) ).
tcf(c_31280,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(g,a)),codomain(X0)) = compose(codomain(X1),compose(compose(g,a),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_7592]) ).
tcf(c_31281,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),domain(X1)) = compose(codomain(X0),compose(compose(g,a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7592]) ).
tcf(c_31283,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),compose(h,compose(a,b))) = compose(codomain(X0),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_7592]) ).
tcf(c_31284,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),compose(g,a)) = compose(codomain(X0),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_7592]) ).
tcf(c_31285,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),compose(h,a)) = compose(codomain(X0),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_7592]) ).
tcf(c_31348,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),domain(X0)),domain(X1)) = compose(compose(a,b),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7618]) ).
tcf(c_31350,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(h,compose(a,b))) = compose(compose(a,b),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_7618]) ).
tcf(c_31351,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(g,a)) = compose(compose(a,b),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_7618]) ).
tcf(c_31352,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(h,a)) = compose(compose(a,b),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_7618]) ).
tcf(c_31353,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),X0) = compose(compose(a,b),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_7618]) ).
tcf(c_31354,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),X0) = compose(compose(a,b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_31353,c_65]) ).
tcf(c_31388,plain,
( ( compose(compose(compose(a,b),domain(compose(a,b))),compose(a,b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_31354]) ).
tcf(c_31391,plain,
( ( compose(compose(compose(a,b),domain(g)),g) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_31354]) ).
tcf(c_31392,plain,
( ( compose(compose(compose(a,b),domain(compose(h,compose(a,b)))),compose(h,compose(a,b))) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_31354]) ).
tcf(c_31393,plain,
( ( compose(compose(compose(a,b),domain(compose(g,a))),compose(g,a)) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_31354]) ).
tcf(c_31394,plain,
( ( compose(compose(compose(a,b),domain(compose(h,a))),compose(h,a)) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_31354]) ).
tcf(c_31395,plain,
( ( compose(compose(compose(a,b),domain(h)),g) = compose(compose(a,b),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31391,c_446]) ).
tcf(c_31402,plain,
( ( compose(compose(compose(a,b),domain(h)),compose(h,a)) = compose(compose(a,b),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31394,c_867]) ).
tcf(c_31405,plain,
( ( compose(compose(compose(a,b),domain(h)),compose(g,a)) = compose(compose(a,b),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31393,c_868]) ).
tcf(c_31408,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(a,b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31388,c_73]) ).
tcf(c_31411,plain,
( ( compose(compose(compose(a,b),domain(h)),compose(h,compose(a,b))) = compose(compose(a,b),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31392,c_282]) ).
tcf(c_31544,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),domain(X1)) = compose(compose(a,b),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7679]) ).
tcf(c_31546,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(h,compose(a,b))) = compose(compose(a,b),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_7679]) ).
tcf(c_31547,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(g,a)) = compose(compose(a,b),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_7679]) ).
tcf(c_31548,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(h,a)) = compose(compose(a,b),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_7679]) ).
tcf(c_31598,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(h,a)) = compose(codomain(compose(a,b)),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_31158]) ).
tcf(c_31609,plain,
( ( compose(compose(codomain(b),b),compose(h,a)) = compose(codomain(b),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_31598,c_231]) ).
tcf(c_31633,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),domain(g)) = compose(X0,compose(compose(h,a),domain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_8941]) ).
tcf(c_31638,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(h,a)),domain(h)) = compose(X0,compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31633,c_446]) ).
tcf(c_31664,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),domain(g)) = compose(X0,compose(compose(g,a),domain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_9091]) ).
tcf(c_31669,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(g,a)),domain(h)) = compose(X0,compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31664,c_446]) ).
tcf(c_31717,plain,
( ( compose(compose(compose(a,b),a),domain(g)) = compose(compose(a,b),compose(a,domain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10204]) ).
tcf(c_31722,plain,
( ( compose(compose(compose(a,b),a),domain(h)) = compose(compose(a,b),compose(a,domain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31717,c_446]) ).
tcf(c_31739,plain,
( ( compose(compose(domain(compose(a,b)),g),compose(g,a)) = compose(domain(compose(a,b)),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_10604]) ).
tcf(c_31740,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),compose(g,a)) = compose(domain(codomain(X0)),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_10604]) ).
tcf(c_31746,plain,
( ( compose(compose(domain(h),g),compose(g,a)) = compose(domain(h),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_10604]) ).
tcf(c_31747,plain,
( ( compose(domain(h),compose(g,compose(g,a))) = compose(g,compose(g,a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31746,c_449]) ).
tcf(c_31753,plain,
( ( compose(compose(codomain(h),g),compose(g,a)) = compose(codomain(h),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31739,c_73]) ).
tcf(c_31758,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(g,a)) = compose(codomain(X0),compose(g,compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31740,c_64]) ).
tcf(c_31777,plain,
( ( compose(compose(domain(compose(a,b)),g),compose(h,a)) = compose(domain(compose(a,b)),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_10605]) ).
tcf(c_31778,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),compose(h,a)) = compose(domain(codomain(X0)),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_10605]) ).
tcf(c_31784,plain,
( ( compose(compose(domain(h),g),compose(h,a)) = compose(domain(h),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_10605]) ).
tcf(c_31785,plain,
( ( compose(domain(h),compose(g,compose(h,a))) = compose(g,compose(h,a)) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31784,c_449]) ).
tcf(c_31791,plain,
( ( compose(compose(codomain(h),g),compose(h,a)) = compose(codomain(h),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31777,c_73]) ).
tcf(c_31796,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(h,a)) = compose(codomain(X0),compose(g,compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_31778,c_64]) ).
tcf(c_31825,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(a)),domain(X0)) = compose(compose(a,b),compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_11824]) ).
tcf(c_31986,plain,
( ( compose(compose(domain(h),compose(a,b)),b) = compose(domain(h),compose(compose(a,b),b)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_12234]) ).
tcf(c_31987,plain,
( ( compose(compose(domain(h),compose(a,b)),a) = compose(domain(h),compose(compose(a,b),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_12234]) ).
tcf(c_31988,plain,
( ( compose(compose(domain(h),compose(a,b)),compose(a,b)) = compose(domain(h),compose(compose(a,b),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_12234]) ).
tcf(c_31989,plain,
! [X0: $i] :
( ( compose(compose(domain(h),compose(a,b)),codomain(X0)) = compose(domain(h),compose(compose(a,b),codomain(X0))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_12234]) ).
tcf(c_31990,plain,
! [X0: $i] :
( ( compose(compose(domain(h),compose(a,b)),domain(X0)) = compose(domain(h),compose(compose(a,b),domain(X0))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_12234]) ).
tcf(c_31991,plain,
( ( compose(compose(domain(h),compose(a,b)),g) = compose(domain(h),compose(compose(a,b),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12234]) ).
tcf(c_31992,plain,
( ( compose(compose(domain(h),compose(a,b)),compose(h,compose(a,b))) = compose(domain(h),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_12234]) ).
tcf(c_31993,plain,
( ( compose(compose(domain(h),compose(a,b)),compose(g,a)) = compose(domain(h),compose(compose(a,b),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_12234]) ).
tcf(c_31994,plain,
( ( compose(compose(domain(h),compose(a,b)),compose(h,a)) = compose(domain(h),compose(compose(a,b),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_12234]) ).
tcf(c_32111,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X0)) = compose(compose(a,b),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_13808]) ).
tcf(c_32112,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),domain(X0)) = compose(compose(a,b),compose(compose(g,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_13808]) ).
tcf(c_32113,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),domain(X0)) = compose(compose(a,b),compose(compose(h,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_13808]) ).
tcf(c_32140,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,a)),domain(X0)) = compose(compose(a,b),compose(compose(h,a),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_32113,c_867]) ).
tcf(c_32144,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(g,a)),domain(X0)) = compose(compose(a,b),compose(compose(g,a),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_32112,c_868]) ).
tcf(c_32150,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X0)) = compose(compose(a,b),compose(compose(h,compose(a,b)),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_32111,c_282]) ).
tcf(c_32424,plain,
( ( compose(compose(compose(g,a),domain(g)),a) = compose(compose(g,a),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17349]) ).
tcf(c_32429,plain,
( ( compose(compose(compose(g,a),domain(h)),a) = compose(compose(g,a),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32424,c_446]) ).
tcf(c_32497,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),domain(a)) = compose(compose(g,a),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_29549]) ).
tcf(c_32506,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(a)),domain(X0)) = compose(compose(g,a),compose(domain(a),domain(X0))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29549]) ).
tcf(c_32510,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(g)),domain(X0)) = compose(compose(g,a),compose(domain(g),domain(X0))) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29549]) ).
tcf(c_32517,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(h)),domain(X0)) = compose(compose(g,a),compose(domain(h),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32510,c_446]) ).
tcf(c_32521,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(h)),domain(X0)) = compose(compose(g,a),compose(codomain(h),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32506,c_195]) ).
tcf(c_32531,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),domain(X0)),codomain(h)) = compose(compose(g,a),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_32497,c_195]) ).
tcf(c_32558,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),domain(a)) = compose(compose(h,a),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_195,c_29605]) ).
tcf(c_32567,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(a)),domain(X0)) = compose(compose(h,a),compose(domain(a),domain(X0))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29605]) ).
tcf(c_32571,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(g)),domain(X0)) = compose(compose(h,a),compose(domain(g),domain(X0))) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29605]) ).
tcf(c_32578,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(h)),domain(X0)) = compose(compose(h,a),compose(domain(h),domain(X0))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32571,c_446]) ).
tcf(c_32582,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(h)),domain(X0)) = compose(compose(h,a),compose(codomain(h),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32567,c_195]) ).
tcf(c_32592,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),domain(X0)),codomain(h)) = compose(compose(h,a),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_32558,c_195]) ).
tcf(c_32651,plain,
( ( compose(compose(compose(h,a),domain(g)),a) = compose(compose(h,a),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17603]) ).
tcf(c_32656,plain,
( ( compose(compose(compose(h,a),domain(h)),a) = compose(compose(h,a),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32651,c_446]) ).
tcf(c_32762,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(h,compose(a,b))) = compose(domain(X0),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_7271]) ).
tcf(c_32763,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),compose(h,compose(a,b))) = compose(domain(X0),compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7271]) ).
tcf(c_32764,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(h,compose(a,b))) = compose(domain(X0),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_7271]) ).
tcf(c_32766,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(h,compose(a,b))) = compose(domain(X1),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7271]) ).
tcf(c_32772,plain,
! [X0: $i] :
( ( compose(compose(domain(a),X0),compose(h,compose(a,b))) = compose(domain(a),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_7271]) ).
tcf(c_32774,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),compose(h,compose(a,b))) = compose(domain(codomain(X1)),compose(X0,compose(h,compose(a,b)))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_7271]) ).
tcf(c_32780,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(h,compose(a,b))) = compose(domain(X0),compose(X0,compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_7271]) ).
tcf(c_32781,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(h,compose(a,b)))) = compose(X0,compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32780,c_65]) ).
tcf(c_32788,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),compose(h,compose(a,b))) = compose(codomain(h),compose(X0,compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32772,c_195]) ).
tcf(c_32806,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(h,compose(a,b))) = compose(domain(X1),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_32766,c_63]) ).
tcf(c_32816,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(h,compose(a,b))) = compose(domain(X0),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32764,c_231]) ).
tcf(c_32885,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),compose(a,b)) = compose(codomain(domain(X0)),compose(domain(X1),compose(a,b))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_29674]) ).
tcf(c_32891,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(b)),compose(a,b)) = compose(codomain(X0),compose(domain(b),compose(a,b))) )
| ( codomain(h) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_29674]) ).
tcf(c_32892,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),compose(a,b)) = compose(codomain(X0),compose(domain(a),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29674]) ).
tcf(c_32896,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),compose(a,b)) = compose(codomain(X0),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29674]) ).
tcf(c_32900,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),compose(a,b)) = compose(codomain(X0),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32896,c_446]) ).
tcf(c_32904,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),compose(a,b)) = compose(codomain(X0),compose(domain(a),compose(a,b))) )
| ( codomain(X0) != codomain(h) ) ),
inference(ground_joinability,[status(thm)],[c_32892,c_195]) ).
tcf(c_32905,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(a,b)) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32904,c_108,c_195]) ).
tcf(c_32908,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(a,b)) = compose(codomain(X0),compose(codomain(a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_32891,c_70]) ).
tcf(c_32913,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),compose(a,b)) = compose(domain(X0),compose(domain(X1),compose(a,b))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_32885,c_63]) ).
tcf(c_32961,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),domain(a)) = compose(compose(a,b),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_30042]) ).
tcf(c_32970,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(a)),domain(X0)) = compose(compose(a,b),compose(domain(a),domain(X0))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_30042]) ).
tcf(c_32974,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(g)),domain(X0)) = compose(compose(a,b),compose(domain(g),domain(X0))) )
| ( codomain(b) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_30042]) ).
tcf(c_32980,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(h)),domain(X0)) = compose(compose(a,b),compose(domain(h),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32974,c_446]) ).
tcf(c_32984,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(h)),domain(X0)) = compose(compose(a,b),compose(codomain(h),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_32970,c_195]) ).
tcf(c_32993,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(h)) = compose(compose(a,b),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_32961,c_195]) ).
tcf(c_33020,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),compose(a,b)) = compose(codomain(domain(X0)),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_32905]) ).
tcf(c_33030,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(a,b)) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33020,c_63]) ).
tcf(c_33067,plain,
( ( compose(domain(compose(h,compose(a,b))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_32781]) ).
tcf(c_33068,plain,
( ( compose(domain(compose(g,a)),compose(compose(g,a),compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_32781]) ).
tcf(c_33069,plain,
( ( compose(domain(compose(h,a)),compose(compose(h,a),compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_32781]) ).
tcf(c_33072,plain,
( ( compose(domain(h),compose(compose(h,a),compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33069,c_867]) ).
tcf(c_33075,plain,
( ( compose(domain(h),compose(compose(g,a),compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33068,c_868]) ).
tcf(c_33079,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33067,c_282]) ).
tcf(c_33218,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),compose(g,a)) = compose(codomain(X1),compose(X0,compose(g,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_30510,c_64]) ).
tcf(c_33235,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),compose(g,a)) = compose(codomain(X0),compose(a,compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_33218]) ).
tcf(c_33236,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(g,a)) = compose(codomain(X0),compose(compose(a,b),compose(g,a))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_33218]) ).
tcf(c_33237,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(g,a)) = compose(codomain(X1),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != codomain(X1) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_33218]) ).
tcf(c_33238,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(g,a)) = compose(codomain(X1),compose(domain(X0),compose(g,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_33218]) ).
tcf(c_33254,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),compose(g,a)) = compose(codomain(X0),compose(domain(X1),compose(g,a))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33238,c_63]) ).
tcf(c_33258,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(g,a)) = compose(codomain(X1),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33237,c_95]) ).
tcf(c_33267,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(g,a)) = compose(codomain(X0),compose(compose(a,b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33236,c_231]) ).
tcf(c_33279,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),compose(h,a)) = compose(codomain(X1),compose(X0,compose(h,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_30782,c_64]) ).
tcf(c_33296,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),compose(h,a)) = compose(codomain(X0),compose(a,compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_33279]) ).
tcf(c_33297,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(h,a)) = compose(codomain(X0),compose(compose(a,b),compose(h,a))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_33279]) ).
tcf(c_33298,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(h,a)) = compose(codomain(X1),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != codomain(X1) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_33279]) ).
tcf(c_33299,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(h,a)) = compose(codomain(X1),compose(domain(X0),compose(h,a))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_33279]) ).
tcf(c_33315,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),compose(h,a)) = compose(codomain(X0),compose(domain(X1),compose(h,a))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33299,c_63]) ).
tcf(c_33319,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(h,a)) = compose(codomain(X1),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33298,c_95]) ).
tcf(c_33328,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(h,a)) = compose(codomain(X0),compose(compose(a,b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33297,c_231]) ).
tcf(c_33380,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(g)) = compose(codomain(X0),compose(compose(h,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_31221]) ).
tcf(c_33383,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(compose(a,b))) = compose(codomain(X0),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_31221]) ).
tcf(c_33391,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(h)) = compose(codomain(X0),compose(compose(h,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33380,c_110]) ).
tcf(c_33399,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),codomain(b)) = compose(codomain(X0),compose(compose(h,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33383,c_231]) ).
tcf(c_33428,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(g)) = compose(codomain(X0),compose(compose(g,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_31280]) ).
tcf(c_33431,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(compose(a,b))) = compose(codomain(X0),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_31280]) ).
tcf(c_33439,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(h)) = compose(codomain(X0),compose(compose(g,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33428,c_110]) ).
tcf(c_33447,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),codomain(b)) = compose(codomain(X0),compose(compose(g,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33431,c_231]) ).
tcf(c_33474,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),domain(X1)),codomain(a)) = compose(domain(codomain(X0)),compose(domain(X1),codomain(a))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_19112]) ).
tcf(c_33495,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),codomain(a)) = compose(codomain(X0),compose(domain(X1),codomain(a))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33474,c_64]) ).
tcf(c_33529,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),domain(X1)),codomain(b)) = compose(domain(codomain(X0)),compose(domain(X1),codomain(b))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_19117]) ).
tcf(c_33549,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),codomain(b)) = compose(codomain(X0),compose(domain(X1),codomain(b))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33529,c_64]) ).
tcf(c_33577,plain,
( ( compose(compose(compose(a,b),g),domain(g)) = compose(compose(a,b),compose(g,domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19198]) ).
tcf(c_33583,plain,
( ( compose(compose(compose(a,b),g),domain(h)) = compose(compose(a,b),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33577,c_446]) ).
tcf(c_33725,plain,
( ( compose(compose(compose(g,a),g),domain(g)) = compose(compose(g,a),compose(g,domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19579]) ).
tcf(c_33731,plain,
( ( compose(compose(compose(g,a),g),domain(h)) = compose(compose(g,a),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33725,c_446]) ).
tcf(c_33776,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(h,compose(a,b))),codomain(X0)) = compose(codomain(X1),compose(compose(h,compose(a,b)),codomain(X0))) )
| ( codomain(X1) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_7598]) ).
tcf(c_33777,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),domain(X1)) = compose(codomain(X0),compose(compose(h,compose(a,b)),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7598]) ).
tcf(c_33794,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),codomain(a)) = compose(codomain(domain(X0)),compose(domain(X1),codomain(a))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_33495]) ).
tcf(c_33801,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),codomain(a)) = compose(codomain(X0),compose(domain(a),codomain(a))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_33495]) ).
tcf(c_33803,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(codomain(X0))),codomain(a)) = compose(codomain(X1),compose(domain(codomain(X0)),codomain(a))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_33495]) ).
tcf(c_33805,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),codomain(a)) = compose(codomain(X0),compose(domain(g),codomain(a))) )
| ( codomain(a) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_33495]) ).
tcf(c_33811,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),codomain(a)) = compose(codomain(X0),compose(domain(h),codomain(a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33805,c_446]) ).
tcf(c_33815,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),codomain(a)) = compose(codomain(X0),compose(codomain(h),codomain(a))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33801,c_195]) ).
tcf(c_33824,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),codomain(a)) = compose(domain(X0),compose(domain(X1),codomain(a))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33794,c_63]) ).
tcf(c_33829,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),codomain(a)) = compose(codomain(X1),compose(codomain(X0),codomain(a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33803,c_64]) ).
tcf(c_33846,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),codomain(b)) = compose(codomain(domain(X0)),compose(domain(X1),codomain(b))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_33549]) ).
tcf(c_33852,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(b)),codomain(b)) = compose(codomain(X0),compose(domain(b),codomain(b))) )
| ( codomain(b) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_33549]) ).
tcf(c_33853,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),codomain(b)) = compose(codomain(X0),compose(domain(a),codomain(b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_33549]) ).
tcf(c_33855,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(codomain(X0))),codomain(b)) = compose(codomain(X1),compose(domain(codomain(X0)),codomain(b))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_33549]) ).
tcf(c_33857,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),codomain(b)) = compose(codomain(X0),compose(domain(g),codomain(b))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_33549]) ).
tcf(c_33862,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),codomain(b)) = compose(codomain(X0),compose(domain(h),codomain(b))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33857,c_446]) ).
tcf(c_33866,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),codomain(b)) = compose(codomain(X0),compose(codomain(h),codomain(b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33853,c_195]) ).
tcf(c_33870,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),codomain(b)) = compose(codomain(X0),compose(codomain(a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_33852,c_70]) ).
tcf(c_33876,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),codomain(b)) = compose(domain(X0),compose(domain(X1),codomain(b))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33846,c_63]) ).
tcf(c_33881,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),codomain(b)) = compose(codomain(X1),compose(codomain(X0),codomain(b))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_33855,c_64]) ).
tcf(c_33976,plain,
( ( compose(compose(compose(h,a),g),domain(g)) = compose(compose(h,a),compose(g,domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_20092]) ).
tcf(c_33982,plain,
( ( compose(compose(compose(h,a),g),domain(h)) = compose(compose(h,a),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_33976,c_446]) ).
tcf(c_34062,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),a) = compose(compose(h,compose(a,b)),compose(domain(X0),a)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_7619]) ).
tcf(c_34063,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_7619]) ).
tcf(c_34064,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7619]) ).
tcf(c_34065,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),domain(X1)) = compose(compose(h,compose(a,b)),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7619]) ).
tcf(c_34066,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),g) = compose(compose(h,compose(a,b)),compose(domain(X0),g)) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_7619]) ).
tcf(c_34067,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_7619]) ).
tcf(c_34068,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_7619]) ).
tcf(c_34069,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_7619]) ).
tcf(c_34070,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),X0) = compose(compose(h,compose(a,b)),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_7619]) ).
tcf(c_34071,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),X0) = compose(compose(h,compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_34070,c_65]) ).
tcf(c_34455,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(b)),b) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_34071]) ).
tcf(c_34456,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(a)),a) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_34071]) ).
tcf(c_34457,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(compose(a,b))),compose(a,b)) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_34071]) ).
tcf(c_34458,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(codomain(X0))),codomain(X0)) = compose(compose(h,compose(a,b)),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_34071]) ).
tcf(c_34459,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(domain(X0))),domain(X0)) = compose(compose(h,compose(a,b)),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_34071]) ).
tcf(c_34460,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),g) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_34071]) ).
tcf(c_34461,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(compose(h,compose(a,b)))),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_34071]) ).
tcf(c_34462,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(compose(g,a))),compose(g,a)) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_34071]) ).
tcf(c_34463,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(compose(h,a))),compose(h,a)) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_34071]) ).
tcf(c_34464,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),g) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34460,c_446]) ).
tcf(c_34467,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),a) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34456,c_195]) ).
tcf(c_34470,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(a)),b) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_34455,c_70]) ).
tcf(c_34473,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),domain(X0)) = compose(compose(h,compose(a,b)),domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_34459,c_94]) ).
tcf(c_34476,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X0)) = compose(compose(h,compose(a,b)),codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_34458,c_64]) ).
tcf(c_34479,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34463,c_867]) ).
tcf(c_34482,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(g,a)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34462,c_868]) ).
tcf(c_34485,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34457,c_73]) ).
tcf(c_34488,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34461,c_282]) ).
tcf(c_34526,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(a)),domain(a)) = compose(compose(h,compose(a,b)),domain(a)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_34473]) ).
tcf(c_34530,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),domain(g)) = compose(compose(h,compose(a,b)),domain(g)) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_34473]) ).
tcf(c_34534,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),domain(h)) = compose(compose(h,compose(a,b)),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34530,c_446]) ).
tcf(c_34537,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),codomain(h)) = compose(compose(h,compose(a,b)),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34526,c_195]) ).
tcf(c_34656,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),a) = compose(compose(h,compose(a,b)),compose(codomain(X0),a)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_7680]) ).
tcf(c_34657,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_73,c_7680]) ).
tcf(c_34658,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X1)) = compose(compose(h,compose(a,b)),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_7680]) ).
tcf(c_34659,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),domain(X1)) = compose(compose(h,compose(a,b)),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_7680]) ).
tcf(c_34660,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),g) = compose(compose(h,compose(a,b)),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_7680]) ).
tcf(c_34661,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_282,c_7680]) ).
tcf(c_34662,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_868,c_7680]) ).
tcf(c_34663,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_867,c_7680]) ).
tcf(c_34725,plain,
( ( compose(compose(domain(h),compose(a,b)),codomain(g)) = compose(domain(h),compose(compose(a,b),codomain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_31989]) ).
tcf(c_34735,plain,
( ( compose(compose(domain(h),compose(a,b)),codomain(h)) = compose(domain(h),compose(compose(a,b),codomain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34725,c_110]) ).
tcf(c_34762,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(g,a)) = compose(codomain(a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20477]) ).
tcf(c_34763,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(g,a)) = compose(codomain(a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20477]) ).
tcf(c_34773,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(g,a)) = compose(codomain(a),compose(compose(h,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34763,c_506]) ).
tcf(c_34776,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(g,a)) = compose(codomain(a),compose(compose(g,a),compose(g,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34762,c_502]) ).
tcf(c_34849,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(h,a)) = compose(codomain(a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20478]) ).
tcf(c_34850,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(h,a)) = compose(codomain(a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20478]) ).
tcf(c_34860,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(h,a)) = compose(codomain(a),compose(compose(h,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34850,c_506]) ).
tcf(c_34863,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(h,a)) = compose(codomain(a),compose(compose(g,a),compose(h,a))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34849,c_502]) ).
tcf(c_34924,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(g,a)) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20595]) ).
tcf(c_34948,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(g,a)) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(g,a))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34924,c_829]) ).
tcf(c_34997,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(h,a)) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20596]) ).
tcf(c_35021,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(h,a)) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(h,a))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_34997,c_829]) ).
tcf(c_35079,plain,
( ( compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8943]) ).
tcf(c_35080,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_8943]) ).
tcf(c_35130,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(a,b)) = compose(domain(X0),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_32913]) ).
tcf(c_35138,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),compose(a,b)) = compose(domain(X0),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_35130,c_446]) ).
tcf(c_35206,plain,
( ( compose(compose(compose(a,b),domain(h)),compose(a,b)) = compose(compose(a,b),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_20748]) ).
tcf(c_35213,plain,
( ( compose(compose(compose(a,b),domain(h)),h) = compose(compose(a,b),compose(domain(h),h)) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_20748]) ).
tcf(c_35223,plain,
( ( compose(compose(compose(a,b),domain(h)),h) = compose(compose(a,b),h) )
| ( codomain(b) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_35213,c_65]) ).
tcf(c_35241,plain,
( ( compose(compose(compose(a,b),codomain(h)),g) = compose(compose(a,b),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_20772]) ).
tcf(c_35242,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(h,compose(a,b))) = compose(compose(a,b),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20772]) ).
tcf(c_35243,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(g,a)) = compose(compose(a,b),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20772]) ).
tcf(c_35244,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(h,a)) = compose(compose(a,b),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20772]) ).
tcf(c_35379,plain,
( ( compose(compose(compose(a,b),compose(h,a)),compose(g,a)) = compose(compose(a,b),compose(compose(h,a),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8944]) ).
tcf(c_35380,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_8944]) ).
tcf(c_35395,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),compose(g,a)) = compose(codomain(X0),compose(codomain(g),compose(g,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_33258]) ).
tcf(c_35401,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(h,a))),compose(g,a)) = compose(codomain(X0),compose(codomain(compose(h,a)),compose(g,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_33258]) ).
tcf(c_35415,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(g,a)) = compose(codomain(X0),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_35395,c_110]) ).
tcf(c_35430,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(g,a)) = compose(codomain(X0),compose(codomain(a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_35401,c_506]) ).
tcf(c_35467,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),compose(h,a)) = compose(codomain(X0),compose(codomain(g),compose(h,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_33319]) ).
tcf(c_35473,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(h,a))),compose(h,a)) = compose(codomain(X0),compose(codomain(compose(h,a)),compose(h,a))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_33319]) ).
tcf(c_35487,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(h,a)) = compose(codomain(X0),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_35467,c_110]) ).
tcf(c_35502,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(h,a)) = compose(codomain(X0),compose(codomain(a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_35473,c_506]) ).
tcf(c_35683,plain,
( ( compose(compose(compose(a,b),compose(h,a)),compose(h,a)) = compose(compose(a,b),compose(compose(h,a),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_8945]) ).
tcf(c_35684,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_8945]) ).
tcf(c_35747,plain,
( ( compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9093]) ).
tcf(c_35748,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_9093]) ).
tcf(c_35804,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),domain(X1)),codomain(h)) = compose(domain(codomain(X0)),compose(domain(X1),codomain(h))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_64,c_23768]) ).
tcf(c_35826,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),codomain(h)) = compose(codomain(X0),compose(domain(X1),codomain(h))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_35804,c_64]) ).
tcf(c_35889,plain,
( ( compose(compose(compose(a,b),compose(g,a)),compose(g,a)) = compose(compose(a,b),compose(compose(g,a),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9094]) ).
tcf(c_35890,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_9094]) ).
tcf(c_35905,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),codomain(h)) = compose(codomain(domain(X0)),compose(domain(X1),codomain(h))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_35826]) ).
tcf(c_35911,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(b)),codomain(h)) = compose(codomain(X0),compose(domain(b),codomain(h))) )
| ( codomain(h) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_35826]) ).
tcf(c_35914,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(codomain(X0))),codomain(h)) = compose(codomain(X1),compose(domain(codomain(X0)),codomain(h))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_35826]) ).
tcf(c_35916,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),codomain(h)) = compose(codomain(X0),compose(domain(g),codomain(h))) )
| ( codomain(h) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_35826]) ).
tcf(c_35920,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),codomain(h)) = compose(codomain(X0),compose(domain(h),codomain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_35916,c_446]) ).
tcf(c_35928,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),codomain(h)) = compose(codomain(X0),compose(codomain(a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_35911,c_70]) ).
tcf(c_35933,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),codomain(h)) = compose(domain(X0),compose(domain(X1),codomain(h))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_35905,c_63]) ).
tcf(c_35938,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),codomain(h)) = compose(codomain(X1),compose(codomain(X0),codomain(h))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_35914,c_64]) ).
tcf(c_36008,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),a) = compose(compose(g,a),compose(codomain(compose(a,b)),a)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_23959]) ).
tcf(c_36020,plain,
( ( compose(compose(compose(g,a),codomain(b)),a) = compose(compose(g,a),compose(codomain(b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36008,c_231]) ).
tcf(c_36034,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),a) = compose(compose(h,a),compose(codomain(compose(a,b)),a)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_24069]) ).
tcf(c_36046,plain,
( ( compose(compose(compose(h,a),codomain(b)),a) = compose(compose(h,a),compose(codomain(b),a)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36034,c_231]) ).
tcf(c_36136,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),domain(h)) = compose(domain(codomain(X0)),compose(codomain(a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_24860]) ).
tcf(c_36138,plain,
( ( compose(compose(domain(g),codomain(a)),domain(h)) = compose(domain(g),compose(codomain(a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_24860]) ).
tcf(c_36142,plain,
( ( compose(compose(domain(h),codomain(a)),domain(h)) = compose(domain(h),compose(codomain(a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36138,c_446]) ).
tcf(c_36156,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),domain(h)) = compose(codomain(X0),compose(codomain(a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_36136,c_64]) ).
tcf(c_36174,plain,
( ( compose(compose(compose(a,b),compose(g,a)),compose(h,a)) = compose(compose(a,b),compose(compose(g,a),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_9095]) ).
tcf(c_36175,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_9095]) ).
tcf(c_36255,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),compose(g,a)) = compose(codomain(domain(X0)),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_35415]) ).
tcf(c_36266,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(g,a)) = compose(domain(X0),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36255,c_63]) ).
tcf(c_36315,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(b)),domain(X0)) = compose(domain(a),compose(codomain(b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_25174]) ).
tcf(c_36319,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(b)),domain(X0)) = compose(domain(g),compose(codomain(b),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_25174]) ).
tcf(c_36323,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(b)),domain(X0)) = compose(domain(h),compose(codomain(b),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36319,c_446]) ).
tcf(c_36327,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(b)),domain(X0)) = compose(codomain(h),compose(codomain(b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36315,c_195]) ).
tcf(c_36362,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),a) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_9349]) ).
tcf(c_36363,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),a) = compose(compose(h,compose(a,b)),compose(compose(g,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_9349]) ).
tcf(c_36364,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),a) = compose(compose(h,compose(a,b)),compose(compose(h,a),a)) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_9349]) ).
tcf(c_36365,plain,
( ( compose(compose(compose(h,compose(a,b)),h),a) = compose(compose(h,compose(a,b)),compose(h,a)) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_9349]) ).
tcf(c_36371,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),a) = compose(compose(h,compose(a,b)),compose(compose(h,a),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36364,c_867]) ).
tcf(c_36375,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),a) = compose(compose(h,compose(a,b)),compose(compose(g,a),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36363,c_868]) ).
tcf(c_36379,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),a) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),a)) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36362,c_282]) ).
tcf(c_36390,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),compose(h,a)) = compose(codomain(domain(X0)),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_35487]) ).
tcf(c_36401,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(h,a)) = compose(domain(X0),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36390,c_63]) ).
tcf(c_36525,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),domain(g)) = compose(codomain(X0),compose(codomain(b),domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_446,c_25871]) ).
tcf(c_36529,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),domain(h)) = compose(codomain(X0),compose(codomain(b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36525,c_446]) ).
tcf(c_36636,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_9350]) ).
tcf(c_36637,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_9350]) ).
tcf(c_36638,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(a,b))) )
| ( codomain(a) != codomain(h) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_9350]) ).
tcf(c_36639,plain,
( ( compose(compose(compose(h,compose(a,b)),h),compose(a,b)) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_9350]) ).
tcf(c_36645,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36638,c_867]) ).
tcf(c_36649,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36637,c_868]) ).
tcf(c_36653,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(a,b))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36636,c_282]) ).
tcf(c_36838,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_9351]) ).
tcf(c_36839,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(X0))) )
| ( codomain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_9351]) ).
tcf(c_36847,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),codomain(X0)) = compose(compose(h,compose(a,b)),compose(X0,codomain(X0))) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_9351]) ).
tcf(c_36848,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),X0),codomain(X0)) = compose(compose(h,compose(a,b)),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36847,c_66]) ).
tcf(c_36873,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_36839,c_867]) ).
tcf(c_36877,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_36838,c_868]) ).
tcf(c_36939,plain,
( ( compose(compose(compose(h,compose(a,b)),a),codomain(g)) = compose(compose(h,compose(a,b)),compose(a,codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_10339]) ).
tcf(c_36942,plain,
( ( compose(compose(compose(h,compose(a,b)),a),codomain(compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,codomain(compose(a,b)))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_10339]) ).
tcf(c_36951,plain,
( ( compose(compose(compose(h,compose(a,b)),a),codomain(h)) = compose(compose(h,compose(a,b)),compose(a,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_36939,c_110]) ).
tcf(c_36957,plain,
( ( compose(compose(compose(h,compose(a,b)),a),codomain(b)) = compose(compose(h,compose(a,b)),compose(a,codomain(b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_36942,c_231]) ).
tcf(c_37072,plain,
( ( compose(compose(compose(g,a),domain(g)),compose(a,b)) = compose(compose(g,a),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17350]) ).
tcf(c_37077,plain,
( ( compose(compose(compose(g,a),domain(h)),compose(a,b)) = compose(compose(g,a),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37072,c_446]) ).
tcf(c_37125,plain,
( ( compose(compose(compose(h,a),domain(g)),compose(a,b)) = compose(compose(h,a),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_17604]) ).
tcf(c_37130,plain,
( ( compose(compose(compose(h,a),domain(h)),compose(a,b)) = compose(compose(h,a),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37125,c_446]) ).
tcf(c_37156,plain,
( ( compose(compose(compose(h,compose(a,b)),b),codomain(b)) = compose(compose(h,compose(a,b)),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_36848]) ).
tcf(c_37157,plain,
( ( compose(compose(compose(h,compose(a,b)),a),codomain(a)) = compose(compose(h,compose(a,b)),a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_36848]) ).
tcf(c_37158,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_36848]) ).
tcf(c_37161,plain,
( ( compose(compose(compose(h,compose(a,b)),g),codomain(g)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_36848]) ).
tcf(c_37162,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(compose(h,compose(a,b)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_36848]) ).
tcf(c_37165,plain,
( ( compose(compose(compose(h,compose(a,b)),g),codomain(h)) = compose(compose(h,compose(a,b)),g) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37161,c_110]) ).
tcf(c_37176,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b)) = compose(compose(h,compose(a,b)),compose(a,b)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37158,c_231]) ).
tcf(c_37179,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b)) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37162,c_829]) ).
tcf(c_37218,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(h,compose(a,b))) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_829,c_9352]) ).
tcf(c_37219,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(g,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(g,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_502,c_9352]) ).
tcf(c_37220,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,a),domain(X0))) )
| ( domain(X0) != codomain(a) )
| ( domain(compose(h,a)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_506,c_9352]) ).
tcf(c_37247,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,a),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_37220,c_867]) ).
tcf(c_37251,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(g,a),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_37219,c_868]) ).
tcf(c_37257,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X0)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_37218,c_282]) ).
tcf(c_37301,plain,
( ( compose(compose(compose(g,a),codomain(g)),compose(g,a)) = compose(compose(g,a),compose(codomain(g),compose(g,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_26354]) ).
tcf(c_37304,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),compose(g,a)) = compose(compose(g,a),compose(codomain(compose(a,b)),compose(g,a))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_26354]) ).
tcf(c_37312,plain,
( ( compose(compose(compose(g,a),codomain(h)),compose(g,a)) = compose(compose(g,a),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37301,c_110]) ).
tcf(c_37318,plain,
( ( compose(compose(compose(g,a),codomain(b)),compose(g,a)) = compose(compose(g,a),compose(codomain(b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_37304,c_231]) ).
tcf(c_37329,plain,
( ( compose(compose(compose(g,a),codomain(g)),compose(h,a)) = compose(compose(g,a),compose(codomain(g),compose(h,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_27172]) ).
tcf(c_37332,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),compose(h,a)) = compose(compose(g,a),compose(codomain(compose(a,b)),compose(h,a))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_27172]) ).
tcf(c_37340,plain,
( ( compose(compose(compose(g,a),codomain(h)),compose(h,a)) = compose(compose(g,a),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37329,c_110]) ).
tcf(c_37346,plain,
( ( compose(compose(compose(g,a),codomain(b)),compose(h,a)) = compose(compose(g,a),compose(codomain(b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_37332,c_231]) ).
tcf(c_37440,plain,
( ( compose(compose(compose(h,compose(a,b)),b),g) = compose(compose(h,compose(a,b)),compose(b,g)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_9353]) ).
tcf(c_37471,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(a)),b) = compose(compose(h,compose(a,b)),compose(domain(a),b)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29183]) ).
tcf(c_37475,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),b) = compose(compose(h,compose(a,b)),compose(domain(g),b)) )
| ( codomain(b) != domain(g) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_29183]) ).
tcf(c_37480,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),b) = compose(compose(h,compose(a,b)),compose(domain(h),b)) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37475,c_446]) ).
tcf(c_37484,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),b) = compose(compose(h,compose(a,b)),compose(codomain(h),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37471,c_195]) ).
tcf(c_37540,plain,
( ( compose(compose(domain(h),codomain(h)),domain(g)) = compose(domain(h),compose(codomain(h),domain(g))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_28927]) ).
tcf(c_37544,plain,
( ( compose(compose(domain(h),codomain(h)),domain(h)) = compose(domain(h),compose(codomain(h),domain(h))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37540,c_446]) ).
tcf(c_37634,plain,
( ( compose(compose(compose(h,compose(a,b)),b),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_9354]) ).
tcf(c_37658,plain,
( ( compose(compose(compose(h,a),codomain(g)),compose(g,a)) = compose(compose(h,a),compose(codomain(g),compose(g,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_29908]) ).
tcf(c_37661,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),compose(g,a)) = compose(compose(h,a),compose(codomain(compose(a,b)),compose(g,a))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_29908]) ).
tcf(c_37669,plain,
( ( compose(compose(compose(h,a),codomain(h)),compose(g,a)) = compose(compose(h,a),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37658,c_110]) ).
tcf(c_37675,plain,
( ( compose(compose(compose(h,a),codomain(b)),compose(g,a)) = compose(compose(h,a),compose(codomain(b),compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_37661,c_231]) ).
tcf(c_37686,plain,
( ( compose(compose(compose(h,a),codomain(g)),compose(h,a)) = compose(compose(h,a),compose(codomain(g),compose(h,a))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_30206]) ).
tcf(c_37689,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),compose(h,a)) = compose(compose(h,a),compose(codomain(compose(a,b)),compose(h,a))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_30206]) ).
tcf(c_37697,plain,
( ( compose(compose(compose(h,a),codomain(h)),compose(h,a)) = compose(compose(h,a),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37686,c_110]) ).
tcf(c_37703,plain,
( ( compose(compose(compose(h,a),codomain(b)),compose(h,a)) = compose(compose(h,a),compose(codomain(b),compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_37689,c_231]) ).
tcf(c_37838,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),domain(h)) = compose(domain(X0),compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_31638]) ).
tcf(c_37839,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,a)),domain(h)) = compose(codomain(X0),compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_31638]) ).
tcf(c_37840,plain,
( ( compose(compose(compose(a,b),compose(h,a)),domain(h)) = compose(compose(a,b),compose(compose(h,a),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_31638]) ).
tcf(c_37841,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(h)) = compose(compose(h,compose(a,b)),compose(compose(h,a),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_31638]) ).
tcf(c_37842,plain,
( ( compose(compose(compose(g,a),compose(h,a)),domain(h)) = compose(compose(g,a),compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_31638]) ).
tcf(c_37843,plain,
( ( compose(compose(compose(h,a),compose(h,a)),domain(h)) = compose(compose(h,a),compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_31638]) ).
tcf(c_37872,plain,
( ( compose(compose(compose(h,compose(a,b)),b),compose(g,a)) = compose(compose(h,compose(a,b)),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_9355]) ).
tcf(c_37903,plain,
( ( compose(compose(domain(a),b),compose(h,compose(a,b))) = compose(domain(a),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_32762]) ).
tcf(c_37905,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(h,compose(a,b))) = compose(domain(codomain(X0)),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_64,c_32762]) ).
tcf(c_37913,plain,
( ( compose(compose(codomain(h),b),compose(h,compose(a,b))) = compose(codomain(h),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_37903,c_195]) ).
tcf(c_37918,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(h,compose(a,b))) = compose(codomain(X0),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_37905,c_64]) ).
tcf(c_37960,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),domain(h)) = compose(domain(X0),compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_31669]) ).
tcf(c_37961,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(g,a)),domain(h)) = compose(codomain(X0),compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_31669]) ).
tcf(c_37962,plain,
( ( compose(compose(compose(a,b),compose(g,a)),domain(h)) = compose(compose(a,b),compose(compose(g,a),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_31669]) ).
tcf(c_37963,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(h)) = compose(compose(h,compose(a,b)),compose(compose(g,a),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_31669]) ).
tcf(c_37964,plain,
( ( compose(compose(compose(g,a),compose(g,a)),domain(h)) = compose(compose(g,a),compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_31669]) ).
tcf(c_37965,plain,
( ( compose(compose(compose(h,a),compose(g,a)),domain(h)) = compose(compose(h,a),compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_31669]) ).
tcf(c_38010,plain,
( ( compose(compose(compose(h,compose(a,b)),b),compose(h,a)) = compose(compose(h,compose(a,b)),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_9356]) ).
tcf(c_38191,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(h,compose(a,b))) = compose(codomain(compose(a,b)),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_37918]) ).
tcf(c_38202,plain,
( ( compose(compose(codomain(b),b),compose(h,compose(a,b))) = compose(codomain(b),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_38191,c_231]) ).
tcf(c_38330,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),compose(h,compose(a,b))) = compose(codomain(X1),compose(X0,compose(h,compose(a,b)))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_32774,c_64]) ).
tcf(c_38347,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),compose(h,compose(a,b))) = compose(codomain(X0),compose(a,compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_38330]) ).
tcf(c_38348,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(h,compose(a,b))) = compose(codomain(X0),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_38330]) ).
tcf(c_38349,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(h,compose(a,b))) = compose(codomain(X1),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != codomain(X1) )
| ( codomain(codomain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_38330]) ).
tcf(c_38350,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(h,compose(a,b))) = compose(codomain(X1),compose(domain(X0),compose(h,compose(a,b)))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_38330]) ).
tcf(c_38351,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(h,compose(a,b))) = compose(codomain(X0),compose(g,compose(h,compose(a,b)))) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_38330]) ).
tcf(c_38355,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(h,compose(a,b))) = compose(codomain(X0),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38351,c_110]) ).
tcf(c_38369,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),compose(h,compose(a,b))) = compose(codomain(X0),compose(domain(X1),compose(h,compose(a,b)))) )
| ( domain(X1) != domain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_38350,c_63]) ).
tcf(c_38373,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(h,compose(a,b))) = compose(codomain(X1),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_38349,c_95]) ).
tcf(c_38382,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(h,compose(a,b))) = compose(codomain(X0),compose(compose(a,b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38348,c_231]) ).
tcf(c_38422,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(domain(X0))) = compose(compose(h,compose(a,b)),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_34064]) ).
tcf(c_38424,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),codomain(compose(a,b))) = compose(compose(h,compose(a,b)),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_34064]) ).
tcf(c_38427,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),codomain(compose(h,a))) = compose(compose(h,compose(a,b)),compose(domain(X0),codomain(compose(h,a)))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_506,c_34064]) ).
tcf(c_38428,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(b)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(domain(b),codomain(X0))) )
| ( codomain(b) != domain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_34064]) ).
tcf(c_38429,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(domain(a),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_34064]) ).
tcf(c_38433,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(g)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(domain(g),codomain(X0))) )
| ( codomain(b) != domain(g) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_34064]) ).
tcf(c_38437,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_38424,c_231]) ).
tcf(c_38440,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(h)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(domain(h),codomain(X0))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38433,c_446]) ).
tcf(c_38444,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(codomain(h),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38429,c_195]) ).
tcf(c_38448,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(a)),codomain(X0)) = compose(compose(h,compose(a,b)),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_38428,c_70]) ).
tcf(c_38454,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X0)) = compose(compose(h,compose(a,b)),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_38422,c_63]) ).
tcf(c_38460,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),codomain(a)) = compose(compose(h,compose(a,b)),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_38427,c_506]) ).
tcf(c_38478,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(a)),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(a),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_38437]) ).
tcf(c_38480,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(codomain(X0))),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(codomain(X0)),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_64,c_38437]) ).
tcf(c_38482,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(g),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_38437]) ).
tcf(c_38486,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(h),codomain(b))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38482,c_446]) ).
tcf(c_38489,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),codomain(b)) = compose(compose(h,compose(a,b)),compose(codomain(h),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38478,c_195]) ).
tcf(c_38496,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(b)) = compose(compose(h,compose(a,b)),compose(codomain(X0),codomain(b))) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_38480,c_64]) ).
tcf(c_38640,plain,
( ( compose(compose(domain(h),codomain(b)),domain(g)) = compose(domain(h),compose(codomain(b),domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_36323]) ).
tcf(c_38644,plain,
( ( compose(compose(domain(h),codomain(b)),domain(h)) = compose(domain(h),compose(codomain(b),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38640,c_446]) ).
tcf(c_38724,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),compose(h,compose(a,b))) = compose(codomain(X0),compose(codomain(g),compose(h,compose(a,b)))) )
| ( codomain(g) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_38373]) ).
tcf(c_38730,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(h,a))),compose(h,compose(a,b))) = compose(codomain(X0),compose(codomain(compose(h,a)),compose(h,compose(a,b)))) )
| ( codomain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_38373]) ).
tcf(c_38744,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(h,compose(a,b))) = compose(codomain(X0),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38724,c_110]) ).
tcf(c_38765,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(h,compose(a,b))) = compose(codomain(X0),compose(codomain(a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_38730,c_506]) ).
tcf(c_38784,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(a)),codomain(domain(X0))) = compose(compose(h,compose(a,b)),compose(codomain(a),codomain(domain(X0)))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_38448]) ).
tcf(c_38802,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_38784,c_63]) ).
tcf(c_38842,plain,
( ( compose(compose(compose(a,b),b),compose(g,a)) = compose(compose(a,b),compose(b,compose(g,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_13811]) ).
tcf(c_38866,plain,
( ( compose(compose(compose(a,b),b),compose(h,a)) = compose(compose(a,b),compose(b,compose(h,a))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_13812]) ).
tcf(c_38939,plain,
( ( compose(compose(compose(h,compose(a,b)),a),domain(g)) = compose(compose(h,compose(a,b)),compose(a,domain(g))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_10340]) ).
tcf(c_38944,plain,
( ( compose(compose(compose(h,compose(a,b)),a),domain(h)) = compose(compose(h,compose(a,b)),compose(a,domain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38939,c_446]) ).
tcf(c_38974,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),domain(a)) = compose(compose(h,compose(a,b)),compose(domain(X0),domain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_195,c_38454]) ).
tcf(c_38983,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(a)),domain(X0)) = compose(compose(h,compose(a,b)),compose(domain(a),domain(X0))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_38454]) ).
tcf(c_38987,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(g)),domain(X0)) = compose(compose(h,compose(a,b)),compose(domain(g),domain(X0))) )
| ( codomain(b) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_38454]) ).
tcf(c_38993,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(h)),domain(X0)) = compose(compose(h,compose(a,b)),compose(domain(h),domain(X0))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38987,c_446]) ).
tcf(c_38997,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),domain(X0)) = compose(compose(h,compose(a,b)),compose(codomain(h),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_38983,c_195]) ).
tcf(c_39006,plain,
! [X0: $i] :
( ( compose(compose(compose(h,compose(a,b)),domain(X0)),codomain(h)) = compose(compose(h,compose(a,b)),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_38974,c_195]) ).
tcf(c_39033,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(g)) = compose(domain(X0),compose(compose(h,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_14245]) ).
tcf(c_39036,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(compose(a,b))) = compose(domain(X0),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_14245]) ).
tcf(c_39044,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(h)) = compose(domain(X0),compose(compose(h,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39033,c_110]) ).
tcf(c_39050,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,a)),codomain(b)) = compose(domain(X0),compose(compose(h,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39036,c_231]) ).
tcf(c_39063,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(g)) = compose(domain(X0),compose(compose(g,a),codomain(g))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_14249]) ).
tcf(c_39066,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(compose(a,b))) = compose(domain(X0),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_14249]) ).
tcf(c_39074,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(h)) = compose(domain(X0),compose(compose(g,a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39063,c_110]) ).
tcf(c_39080,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(g,a)),codomain(b)) = compose(domain(X0),compose(compose(g,a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39066,c_231]) ).
tcf(c_39096,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),compose(a,b)),codomain(X1)) = compose(domain(codomain(X0)),compose(compose(a,b),codomain(X1))) )
| ( codomain(X1) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_14253]) ).
tcf(c_39109,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(X1)) = compose(codomain(X0),compose(compose(a,b),codomain(X1))) )
| ( codomain(X1) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39096,c_64]) ).
tcf(c_39245,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),compose(g,a)) = compose(domain(X0),compose(codomain(compose(h,a)),compose(g,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_16644]) ).
tcf(c_39251,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(X0)),compose(g,a)) = compose(domain(g),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16644]) ).
tcf(c_39255,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(X0)),compose(g,a)) = compose(domain(h),compose(codomain(X0),compose(g,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39251,c_446]) ).
tcf(c_39272,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(g,a)) = compose(domain(X0),compose(codomain(a),compose(g,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_39245,c_506]) ).
tcf(c_39286,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(domain(X0))),compose(g,a)) = compose(domain(h),compose(codomain(domain(X0)),compose(g,a))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_39255]) ).
tcf(c_39293,plain,
! [X0: $i] :
( ( compose(compose(domain(h),domain(X0)),compose(g,a)) = compose(domain(h),compose(domain(X0),compose(g,a))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39286,c_63]) ).
tcf(c_39378,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),compose(h,a)) = compose(domain(X0),compose(codomain(compose(h,a)),compose(h,a))) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_16645]) ).
tcf(c_39384,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(X0)),compose(h,a)) = compose(domain(g),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16645]) ).
tcf(c_39388,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(X0)),compose(h,a)) = compose(domain(h),compose(codomain(X0),compose(h,a))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39384,c_446]) ).
tcf(c_39405,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(h,a)) = compose(domain(X0),compose(codomain(a),compose(h,a))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_39378,c_506]) ).
tcf(c_39419,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(domain(X0))),compose(h,a)) = compose(domain(h),compose(codomain(domain(X0)),compose(h,a))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_39388]) ).
tcf(c_39426,plain,
! [X0: $i] :
( ( compose(compose(domain(h),domain(X0)),compose(h,a)) = compose(domain(h),compose(domain(X0),compose(h,a))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39419,c_63]) ).
tcf(c_39470,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(compose(a,b))),codomain(X0)) = compose(compose(g,a),compose(codomain(compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_17219]) ).
tcf(c_39506,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(b)),codomain(X0)) = compose(compose(g,a),compose(codomain(b),codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_39470,c_231]) ).
tcf(c_39658,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(compose(a,b))),codomain(X0)) = compose(compose(h,a),compose(codomain(compose(a,b)),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_17465]) ).
tcf(c_39694,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(b)),codomain(X0)) = compose(compose(h,a),compose(codomain(b),codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_39658,c_231]) ).
tcf(c_39982,plain,
( ( compose(compose(domain(compose(a,b)),g),compose(h,compose(a,b))) = compose(domain(compose(a,b)),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) ) ),
inference(superposition,[status(thm)],[c_73,c_10603]) ).
tcf(c_39989,plain,
( ( compose(compose(domain(h),g),compose(h,compose(a,b))) = compose(domain(h),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_10603]) ).
tcf(c_39990,plain,
( ( compose(domain(h),compose(g,compose(h,compose(a,b)))) = compose(g,compose(h,compose(a,b))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39989,c_449]) ).
tcf(c_39996,plain,
( ( compose(compose(codomain(h),g),compose(h,compose(a,b))) = compose(codomain(h),compose(g,compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_39982,c_73]) ).
tcf(c_40013,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),codomain(h)),compose(h,compose(a,b))) = compose(codomain(domain(X0)),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_38744]) ).
tcf(c_40024,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(h,compose(a,b))) = compose(domain(X0),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40013,c_63]) ).
tcf(c_40253,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),domain(a)) = compose(domain(X0),compose(compose(a,b),domain(a))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_24390]) ).
tcf(c_40257,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),domain(g)) = compose(domain(X0),compose(compose(a,b),domain(g))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_24390]) ).
tcf(c_40261,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),domain(h)) = compose(domain(X0),compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40257,c_446]) ).
tcf(c_40265,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(h)) = compose(domain(X0),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40253,c_195]) ).
tcf(c_40378,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(compose(a,b))),domain(X0)) = compose(compose(g,a),compose(codomain(compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_25608]) ).
tcf(c_40412,plain,
! [X0: $i] :
( ( compose(compose(compose(g,a),codomain(b)),domain(X0)) = compose(compose(g,a),compose(codomain(b),domain(X0))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_40378,c_231]) ).
tcf(c_40556,plain,
( ( compose(compose(codomain(a),compose(h,a)),domain(g)) = compose(codomain(a),compose(compose(h,a),domain(g))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_28114]) ).
tcf(c_40560,plain,
( ( compose(compose(codomain(a),compose(h,a)),domain(h)) = compose(codomain(a),compose(compose(h,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40556,c_446]) ).
tcf(c_40631,plain,
( ( compose(compose(compose(g,a),codomain(g)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(g),compose(h,compose(a,b)))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_25926]) ).
tcf(c_40634,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_25926]) ).
tcf(c_40642,plain,
( ( compose(compose(compose(g,a),codomain(h)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40631,c_110]) ).
tcf(c_40648,plain,
( ( compose(compose(compose(g,a),codomain(b)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_40634,c_231]) ).
tcf(c_40664,plain,
( ( compose(compose(codomain(a),compose(g,a)),domain(g)) = compose(codomain(a),compose(compose(g,a),domain(g))) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_28118]) ).
tcf(c_40668,plain,
( ( compose(compose(codomain(a),compose(g,a)),domain(h)) = compose(codomain(a),compose(compose(g,a),domain(h))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40664,c_446]) ).
tcf(c_40792,plain,
( ( compose(compose(codomain(b),compose(a,b)),domain(a)) = compose(codomain(b),compose(compose(a,b),domain(a))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_28184]) ).
tcf(c_40800,plain,
( ( compose(compose(codomain(b),compose(a,b)),codomain(h)) = compose(codomain(b),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40792,c_195]) ).
tcf(c_40876,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(compose(a,b))),domain(X0)) = compose(compose(h,a),compose(codomain(compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_231,c_29323]) ).
tcf(c_40910,plain,
! [X0: $i] :
( ( compose(compose(compose(h,a),codomain(b)),domain(X0)) = compose(compose(h,a),compose(codomain(b),domain(X0))) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_40876,c_231]) ).
tcf(c_40939,plain,
( ( compose(compose(compose(a,b),compose(a,b)),domain(a)) = compose(compose(a,b),compose(compose(a,b),domain(a))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_12668]) ).
tcf(c_40943,plain,
( ( compose(compose(compose(a,b),compose(a,b)),domain(g)) = compose(compose(a,b),compose(compose(a,b),domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12668]) ).
tcf(c_40947,plain,
( ( compose(compose(compose(a,b),compose(a,b)),codomain(h)) = compose(compose(a,b),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40939,c_195]) ).
tcf(c_40951,plain,
( ( compose(compose(compose(a,b),compose(a,b)),domain(h)) = compose(compose(a,b),compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40943,c_446]) ).
tcf(c_40971,plain,
( ( compose(compose(compose(h,a),codomain(g)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(g),compose(h,compose(a,b)))) )
| ( codomain(g) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_29497]) ).
tcf(c_40974,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_29497]) ).
tcf(c_40982,plain,
( ( compose(compose(compose(h,a),codomain(h)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_40971,c_110]) ).
tcf(c_40988,plain,
( ( compose(compose(compose(h,a),codomain(b)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(b),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_40974,c_231]) ).
tcf(c_41229,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(domain(g),compose(a,b))) )
| ( codomain(h) != domain(g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_34063]) ).
tcf(c_41233,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(domain(h),compose(a,b))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41229,c_446]) ).
tcf(c_41354,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(g,a)) = compose(domain(X0),compose(domain(g),compose(g,a))) )
| ( domain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_30542]) ).
tcf(c_41374,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(g,a)) = compose(domain(X0),compose(domain(g),compose(g,a))) )
| ( domain(X0) != domain(h) ) ),
inference(ground_joinability,[status(thm)],[c_41354,c_446]) ).
tcf(c_41375,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),compose(g,a)) = compose(domain(X0),compose(g,a)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41374,c_446,c_1050]) ).
tcf(c_41402,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(h)),compose(g,a)) = compose(domain(codomain(X0)),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_41375]) ).
tcf(c_41415,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),compose(g,a)) = compose(codomain(X0),compose(g,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41402,c_64]) ).
tcf(c_41447,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(h,a)) = compose(domain(X0),compose(domain(g),compose(h,a))) )
| ( domain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_30814]) ).
tcf(c_41467,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(h,a)) = compose(domain(X0),compose(domain(g),compose(h,a))) )
| ( domain(X0) != domain(h) ) ),
inference(ground_joinability,[status(thm)],[c_41447,c_446]) ).
tcf(c_41468,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),compose(h,a)) = compose(domain(X0),compose(h,a)) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41467,c_446,c_1021]) ).
tcf(c_41521,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(h)),compose(h,a)) = compose(domain(codomain(X0)),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_41468]) ).
tcf(c_41534,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),compose(h,a)) = compose(codomain(X0),compose(h,a)) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41521,c_64]) ).
tcf(c_41725,plain,
( ( compose(compose(domain(h),compose(a,b)),domain(g)) = compose(domain(h),compose(compose(a,b),domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_31990]) ).
tcf(c_41729,plain,
( ( compose(compose(domain(h),compose(a,b)),domain(h)) = compose(domain(h),compose(compose(a,b),domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41725,c_446]) ).
tcf(c_41921,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(a)) = compose(compose(h,compose(a,b)),compose(compose(a,b),domain(a))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_12872]) ).
tcf(c_41925,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(g)) = compose(compose(h,compose(a,b)),compose(compose(a,b),domain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_12872]) ).
tcf(c_41929,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(h)) = compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41921,c_195]) ).
tcf(c_41933,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(h)) = compose(compose(h,compose(a,b)),compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41925,c_446]) ).
tcf(c_41963,plain,
( ( compose(compose(compose(a,b),codomain(h)),domain(g)) = compose(compose(a,b),compose(codomain(h),domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_32984]) ).
tcf(c_41969,plain,
( ( compose(compose(compose(a,b),codomain(h)),domain(h)) = compose(compose(a,b),compose(codomain(h),domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_41963,c_446]) ).
tcf(c_42020,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),compose(g,a)) = compose(codomain(domain(X0)),compose(domain(X1),compose(g,a))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_33254]) ).
tcf(c_42040,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),compose(g,a)) = compose(domain(X0),compose(domain(X1),compose(g,a))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_42020,c_63]) ).
tcf(c_42063,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),compose(h,a)) = compose(codomain(domain(X0)),compose(domain(X1),compose(h,a))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_33315]) ).
tcf(c_42083,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),compose(h,a)) = compose(domain(X0),compose(domain(X1),compose(h,a))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_42063,c_63]) ).
tcf(c_42420,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(g)) = compose(compose(g,a),compose(compose(h,a),codomain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17236]) ).
tcf(c_42423,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(compose(a,b))) = compose(compose(g,a),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17236]) ).
tcf(c_42431,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(h)) = compose(compose(g,a),compose(compose(h,a),codomain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42420,c_110]) ).
tcf(c_42437,plain,
( ( compose(compose(compose(g,a),compose(h,a)),codomain(b)) = compose(compose(g,a),compose(compose(h,a),codomain(b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42423,c_231]) ).
tcf(c_42451,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),compose(a,b)),domain(h)) = compose(domain(codomain(X0)),compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_40261]) ).
tcf(c_42465,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),domain(h)) = compose(codomain(X0),compose(compose(a,b),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42451,c_64]) ).
tcf(c_42482,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),compose(a,b)),codomain(h)) = compose(domain(codomain(X0)),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_40265]) ).
tcf(c_42496,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(h)) = compose(codomain(X0),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42482,c_64]) ).
tcf(c_42590,plain,
( ( compose(compose(compose(a,b),b),compose(h,compose(a,b))) = compose(compose(a,b),compose(b,compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_13810]) ).
tcf(c_42620,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(g)) = compose(compose(g,a),compose(compose(g,a),codomain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17240]) ).
tcf(c_42623,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(compose(a,b))) = compose(compose(g,a),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17240]) ).
tcf(c_42631,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(h)) = compose(compose(g,a),compose(compose(g,a),codomain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42620,c_110]) ).
tcf(c_42637,plain,
( ( compose(compose(compose(g,a),compose(g,a)),codomain(b)) = compose(compose(g,a),compose(compose(g,a),codomain(b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42623,c_231]) ).
tcf(c_42765,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(g)) = compose(compose(h,a),compose(compose(h,a),codomain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17482]) ).
tcf(c_42768,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(compose(a,b))) = compose(compose(h,a),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17482]) ).
tcf(c_42776,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(h)) = compose(compose(h,a),compose(compose(h,a),codomain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42765,c_110]) ).
tcf(c_42782,plain,
( ( compose(compose(compose(h,a),compose(h,a)),codomain(b)) = compose(compose(h,a),compose(compose(h,a),codomain(b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42768,c_231]) ).
tcf(c_42799,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(g)) = compose(compose(h,a),compose(compose(g,a),codomain(g))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_17486]) ).
tcf(c_42802,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(compose(a,b))) = compose(compose(h,a),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_17486]) ).
tcf(c_42810,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(h)) = compose(compose(h,a),compose(compose(g,a),codomain(h))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42799,c_110]) ).
tcf(c_42816,plain,
( ( compose(compose(compose(h,a),compose(g,a)),codomain(b)) = compose(compose(h,a),compose(compose(g,a),codomain(b))) )
| ( codomain(a) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42802,c_231]) ).
tcf(c_42925,plain,
( ( compose(compose(compose(a,b),compose(h,a)),codomain(g)) = compose(compose(a,b),compose(compose(h,a),codomain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_18637]) ).
tcf(c_42928,plain,
( ( compose(compose(compose(a,b),compose(h,a)),codomain(compose(a,b))) = compose(compose(a,b),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_18637]) ).
tcf(c_42936,plain,
( ( compose(compose(compose(a,b),compose(h,a)),codomain(h)) = compose(compose(a,b),compose(compose(h,a),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42925,c_110]) ).
tcf(c_42942,plain,
( ( compose(compose(compose(a,b),compose(h,a)),codomain(b)) = compose(compose(a,b),compose(compose(h,a),codomain(b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42928,c_231]) ).
tcf(c_42953,plain,
( ( compose(compose(compose(a,b),compose(g,a)),codomain(g)) = compose(compose(a,b),compose(compose(g,a),codomain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_18641]) ).
tcf(c_42956,plain,
( ( compose(compose(compose(a,b),compose(g,a)),codomain(compose(a,b))) = compose(compose(a,b),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_18641]) ).
tcf(c_42964,plain,
( ( compose(compose(compose(a,b),compose(g,a)),codomain(h)) = compose(compose(a,b),compose(compose(g,a),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42953,c_110]) ).
tcf(c_42970,plain,
( ( compose(compose(compose(a,b),compose(g,a)),codomain(b)) = compose(compose(a,b),compose(compose(g,a),codomain(b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_42956,c_231]) ).
tcf(c_42986,plain,
( ( compose(compose(compose(h,compose(a,b)),g),domain(g)) = compose(compose(h,compose(a,b)),compose(g,domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_19330]) ).
tcf(c_42992,plain,
( ( compose(compose(compose(h,compose(a,b)),g),domain(h)) = compose(compose(h,compose(a,b)),compose(g,domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_42986,c_446]) ).
tcf(c_43091,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(h,compose(a,b))) = compose(codomain(a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(g,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20476]) ).
tcf(c_43092,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(h,compose(a,b))) = compose(codomain(a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20476]) ).
tcf(c_43102,plain,
( ( compose(compose(codomain(a),compose(h,a)),compose(h,compose(a,b))) = compose(codomain(a),compose(compose(h,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_43092,c_506]) ).
tcf(c_43105,plain,
( ( compose(compose(codomain(a),compose(g,a)),compose(h,compose(a,b))) = compose(codomain(a),compose(compose(g,a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_43091,c_502]) ).
tcf(c_43136,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(compose(h,compose(a,b))) != domain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20594]) ).
tcf(c_43160,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(codomain(b),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_43136,c_829]) ).
tcf(c_43176,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),h) = compose(compose(h,compose(a,b)),compose(domain(h),h)) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_20749]) ).
tcf(c_43183,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),h) = compose(compose(h,compose(a,b)),h) )
| ( codomain(b) != domain(h) ) ),
inference(demodulation,[status(thm)],[c_43176,c_65]) ).
tcf(c_43201,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),g) = compose(compose(h,compose(a,b)),compose(codomain(h),g)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_20773]) ).
tcf(c_43202,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(codomain(h),compose(h,compose(a,b)))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_282,c_20773]) ).
tcf(c_43203,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(codomain(h),compose(g,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_868,c_20773]) ).
tcf(c_43204,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(codomain(h),compose(h,a))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_867,c_20773]) ).
tcf(c_43290,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),domain(h)) = compose(domain(X0),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_23106]) ).
tcf(c_43291,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),domain(h)) = compose(codomain(X0),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_23106]) ).
tcf(c_43292,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),domain(h)) = compose(compose(a,b),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_23106]) ).
tcf(c_43293,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(h)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_829,c_23106]) ).
tcf(c_43294,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),domain(h)) = compose(compose(g,a),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_502,c_23106]) ).
tcf(c_43295,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),domain(h)) = compose(compose(h,a),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_23106]) ).
tcf(c_43330,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),codomain(g)) = compose(domain(X0),compose(compose(h,compose(a,b)),codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_14258]) ).
tcf(c_43340,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(h,compose(a,b))),codomain(h)) = compose(domain(X0),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_43330,c_110]) ).
tcf(c_43366,plain,
( ( compose(compose(domain(h),compose(h,compose(a,b))),domain(h)) = compose(domain(h),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_43290]) ).
tcf(c_43367,plain,
( ( compose(domain(h),compose(compose(h,compose(a,b)),domain(h))) = compose(compose(h,compose(a,b)),domain(h)) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_43366,c_476]) ).
tcf(c_43405,plain,
( ( compose(compose(compose(g,a),codomain(compose(a,b))),compose(a,b)) = compose(compose(g,a),compose(codomain(compose(a,b)),compose(a,b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_25103]) ).
tcf(c_43417,plain,
( ( compose(compose(compose(g,a),codomain(b)),compose(a,b)) = compose(compose(g,a),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_43405,c_231]) ).
tcf(c_43485,plain,
( ( compose(compose(compose(h,a),codomain(compose(a,b))),compose(a,b)) = compose(compose(h,a),compose(codomain(compose(a,b)),compose(a,b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_231,c_28836]) ).
tcf(c_43497,plain,
( ( compose(compose(compose(h,a),codomain(b)),compose(a,b)) = compose(compose(h,a),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_43485,c_231]) ).
tcf(c_44121,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(g)),a) = compose(compose(h,compose(a,b)),compose(domain(g),a)) )
| ( codomain(h) != domain(g) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_34062]) ).
tcf(c_44125,plain,
( ( compose(compose(compose(h,compose(a,b)),domain(h)),a) = compose(compose(h,compose(a,b)),compose(domain(h),a)) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_44121,c_446]) ).
tcf(c_44178,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(h,a))),compose(h,compose(a,b))) = compose(domain(X0),compose(codomain(compose(h,a)),compose(h,compose(a,b)))) )
| ( domain(X0) != codomain(a) )
| ( codomain(compose(h,a)) != domain(h) ) ),
inference(superposition,[status(thm)],[c_506,c_16643]) ).
tcf(c_44184,plain,
! [X0: $i] :
( ( compose(compose(domain(g),codomain(X0)),compose(h,compose(a,b))) = compose(domain(g),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_16643]) ).
tcf(c_44188,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(X0)),compose(h,compose(a,b))) = compose(domain(h),compose(codomain(X0),compose(h,compose(a,b)))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_44184,c_446]) ).
tcf(c_44205,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(h,compose(a,b))) = compose(domain(X0),compose(codomain(a),compose(h,compose(a,b)))) )
| ( codomain(a) != domain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_44178,c_506]) ).
tcf(c_44220,plain,
! [X0: $i] :
( ( compose(compose(domain(h),codomain(domain(X0))),compose(h,compose(a,b))) = compose(domain(h),compose(codomain(domain(X0)),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_44188]) ).
tcf(c_44227,plain,
! [X0: $i] :
( ( compose(compose(domain(h),domain(X0)),compose(h,compose(a,b))) = compose(domain(h),compose(domain(X0),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_44220,c_63]) ).
tcf(c_44905,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),domain(g)) = compose(codomain(b),compose(compose(h,compose(a,b)),domain(g))) )
| ( codomain(b) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_28189]) ).
tcf(c_44909,plain,
( ( compose(compose(codomain(b),compose(h,compose(a,b))),domain(h)) = compose(codomain(b),compose(compose(h,compose(a,b)),domain(h))) )
| ( codomain(b) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_44905,c_446]) ).
tcf(c_44978,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(h,compose(a,b))) = compose(domain(X0),compose(domain(g),compose(h,compose(a,b)))) )
| ( domain(h) != domain(g) )
| ( domain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_32806]) ).
tcf(c_44998,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(h,compose(a,b))) = compose(domain(X0),compose(domain(g),compose(h,compose(a,b)))) )
| ( domain(X0) != domain(h) ) ),
inference(ground_joinability,[status(thm)],[c_44978,c_446]) ).
tcf(c_44999,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(h)),compose(h,compose(a,b))) = compose(domain(X0),compose(h,compose(a,b))) )
| ( domain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_44998,c_446,c_476]) ).
tcf(c_45026,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(h)),compose(h,compose(a,b))) = compose(domain(codomain(X0)),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_64,c_44999]) ).
tcf(c_45039,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(h)),compose(h,compose(a,b))) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45026,c_64]) ).
tcf(c_45072,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),domain(a)) = compose(codomain(X0),compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_33777]) ).
tcf(c_45081,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(h)) = compose(codomain(X0),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45072,c_195]) ).
tcf(c_45218,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),compose(h,compose(a,b))) = compose(codomain(domain(X0)),compose(domain(X1),compose(h,compose(a,b)))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_38369]) ).
tcf(c_45238,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),compose(h,compose(a,b))) = compose(domain(X0),compose(domain(X1),compose(h,compose(a,b)))) )
| ( domain(X1) != domain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_45218,c_63]) ).
tcf(c_45419,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),domain(g)) = compose(compose(h,compose(a,b)),compose(codomain(h),domain(g))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_446,c_38997]) ).
tcf(c_45425,plain,
( ( compose(compose(compose(h,compose(a,b)),codomain(h)),domain(h)) = compose(compose(h,compose(a,b)),compose(codomain(h),domain(h))) )
| ( codomain(h) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45419,c_446]) ).
tcf(c_45616,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),domain(a)) = compose(compose(g,a),compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_25629]) ).
tcf(c_45625,plain,
( ( compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(h)) = compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45616,c_195]) ).
tcf(c_45646,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),domain(a)) = compose(compose(h,a),compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_29344]) ).
tcf(c_45655,plain,
( ( compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(h)) = compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45646,c_195]) ).
tcf(c_45807,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(g)) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_36873]) ).
tcf(c_45810,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_36873]) ).
tcf(c_45818,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(h)) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45807,c_110]) ).
tcf(c_45824,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(b)) = compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_45810,c_231]) ).
tcf(c_45836,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),domain(a)) = compose(compose(a,b),compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_32150]) ).
tcf(c_45847,plain,
( ( compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(h)) = compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45836,c_195]) ).
tcf(c_45967,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(g)) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(g))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_110,c_36877]) ).
tcf(c_45970,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(compose(a,b)))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_231,c_36877]) ).
tcf(c_45978,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(h)) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_45967,c_110]) ).
tcf(c_45984,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(b)) = compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(b))) )
| ( codomain(b) != domain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_45970,c_231]) ).
tcf(c_46349,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(a)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(a))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_195,c_37257]) ).
tcf(c_46360,plain,
( ( compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(h)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(h))) )
| ( codomain(b) != domain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_46349,c_195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.11/5.39 % Computer : n002.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 06:53:13 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.16/5.42 Running model finding
% 0.16/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.44 % Proving...
% 6.77/9.21 % SZS status Started for theBenchmark.p
% 6.77/9.21 % SZS status Satisfiable for theBenchmark.p
% 6.77/9.21
% 6.77/9.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.77/9.21
% 6.77/9.21 ------ iProver source info
% 6.77/9.21
% 6.77/9.21 git: date: 2026-07-19 20:42:38 +0200
% 6.77/9.21 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.77/9.21 git: non_committed_changes: false
% 6.77/9.21
% 6.77/9.21 ------ Parsing...successful
% 6.77/9.21
% 6.77/9.21
% 6.77/9.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.77/9.21 ------ Proving...
% 6.77/9.21 ------ Problem Properties
% 6.77/9.21
% 6.77/9.21
% 6.77/9.21 clauses 14
% 6.77/9.21 conjectures 1
% 6.77/9.21 EPR 1
% 6.77/9.21 Horn 14
% 6.77/9.21 unary 9
% 6.77/9.21 binary 2
% 6.77/9.21 lits 24
% 6.77/9.21 lits eq 24
% 6.77/9.21 fd_pure 0
% 6.77/9.21 fd_pseudo 0
% 6.77/9.21 fd_cond 0
% 6.77/9.21 fd_pseudo_cond 2
% 6.77/9.21 AC symbols 0
% 6.77/9.21
% 6.77/9.21 ------ Schedule dynamic 5 is on
% 6.77/9.21
% 6.77/9.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.77/9.21
% 6.77/9.21
% 6.77/9.21 ------
% 6.77/9.21 Current options:
% 6.77/9.21 ------
% 6.77/9.21
% 6.77/9.21 ------ Input Options
% 6.77/9.21
% 6.77/9.21 --out_options all
% 6.77/9.21 --tptp_safe_out true
% 6.77/9.21 --problem_path ""
% 6.77/9.21 --include_path ""
% 6.77/9.21 --clausifier res/vclausify_rel
% 6.77/9.21 --clausifier_options --mode clausify -t 101.67 -updr off
% 6.77/9.21 --stdin false
% 6.77/9.21 --proof_out true
% 6.77/9.21 --proof_dot_file ""
% 6.77/9.21 --proof_reduce_dot []
% 6.77/9.21 --suppress_sat_res false
% 6.77/9.21 --suppress_unsat_res true
% 6.77/9.21 --stats_out none
% 6.77/9.21 --stats_mem false
% 6.77/9.21 --theory_stats_out false
% 6.77/9.21
% 6.77/9.21 ------ General Options
% 6.77/9.21
% 6.77/9.21 --fof false
% 6.77/9.21 --time_out_real 305.
% 6.77/9.21 --time_out_virtual -1.
% 6.77/9.22 --rnd_seed 13
% 6.77/9.22 --symbol_type_check false
% 6.77/9.22 --clausify_out false
% 6.77/9.22 --sig_cnt_out false
% 6.77/9.22 --trig_cnt_out false
% 6.77/9.22 --trig_cnt_out_tolerance 1.
% 6.77/9.22 --trig_cnt_out_sk_spl false
% 6.77/9.22 --abstr_cl_out false
% 6.77/9.22
% 6.77/9.22 ------ Interactive Mode
% 6.77/9.22
% 6.77/9.22 --interactive_mode false
% 6.77/9.22 --external_ip_address ""
% 6.77/9.22 --external_port 0
% 6.77/9.22
% 6.77/9.22 ------ Global Options
% 6.77/9.22
% 6.77/9.22 --schedule default
% 6.77/9.22 --add_important_lit false
% 6.77/9.22 --prop_solver_per_cl 500
% 6.77/9.22 --subs_bck_mult 8
% 6.77/9.22 --min_unsat_core false
% 6.77/9.22 --soft_assumptions false
% 6.77/9.22 --soft_lemma_size 3
% 6.77/9.22 --prop_impl_unit_size 0
% 6.77/9.22 --prop_impl_unit []
% 6.77/9.22 --share_sel_clauses true
% 6.77/9.22 --reset_solvers false
% 6.77/9.22 --bc_imp_inh [conj_cone]
% 6.77/9.22 --conj_cone_tolerance 3.
% 6.77/9.22 --extra_neg_conj none
% 6.77/9.22 --large_theory_mode true
% 6.77/9.22 --prolific_symb_bound 200
% 6.77/9.22 --lt_threshold 2000
% 6.77/9.22 --clause_weak_htbl true
% 6.77/9.22 --gc_record_bc_elim false
% 6.77/9.22
% 6.77/9.22 ------ Preprocessing Options
% 6.77/9.22
% 6.77/9.22 --preprocessing_flag false
% 6.77/9.22 --time_out_prep_mult 0.1
% 6.77/9.22 --splitting_mode input
% 6.77/9.22 --splitting_grd true
% 6.77/9.22 --splitting_cvd false
% 6.77/9.22 --splitting_cvd_svl false
% 6.77/9.22 --splitting_nvd 32
% 6.77/9.22 --sub_typing false
% 6.77/9.22 --prep_eq_flat_conj false
% 6.77/9.22 --prep_ineq_split false
% 6.77/9.22 --prep_eq_flat_all_gr false
% 6.77/9.22 --prep_gs_sim true
% 6.77/9.22 --prep_unflatten true
% 6.77/9.22 --prep_res_sim true
% 6.77/9.22 --prep_sup_sim_all true
% 6.77/9.22 --prep_sup_sim_sup false
% 6.77/9.22 --prep_upred true
% 6.77/9.22 --prep_well_definedness true
% 6.77/9.22 --prep_sem_filter exhaustive
% 6.77/9.22 --prep_sem_filter_out false
% 6.77/9.22 --pred_elim true
% 6.77/9.22 --res_sim_input true
% 6.77/9.22 --eq_ax_congr_red true
% 6.77/9.22 --pure_diseq_elim true
% 6.77/9.22 --brand_transform false
% 6.77/9.22 --non_eq_to_eq false
% 6.77/9.22 --prep_eq_proxy false
% 6.77/9.22 --prep_def_merge true
% 6.77/9.22 --prep_def_merge_prop_impl false
% 6.77/9.22 --prep_def_merge_mbd true
% 6.77/9.22 --prep_def_merge_tr_red false
% 6.77/9.22 --prep_def_merge_tr_cl false
% 6.77/9.22 --smt_preprocessing false
% 6.77/9.22 --smt_ac_axioms fast
% 6.77/9.22 --preprocessed_out false
% 6.77/9.22 --preprocessed_stats false
% 6.77/9.22
% 6.77/9.22 ------ Abstraction refinement Options
% 6.77/9.22
% 6.77/9.22 --abstr_ref []
% 6.77/9.22 --abstr_ref_prep false
% 6.77/9.22 --abstr_ref_until_sat false
% 6.77/9.22 --abstr_ref_sig_restrict funpre
% 6.77/9.22 --abstr_ref_af_restrict_to_split_sk false
% 6.77/9.22 --abstr_ref_under []
% 6.77/9.22
% 6.77/9.22 ------ SAT Options
% 6.77/9.22
% 6.77/9.22 --sat_mode false
% 6.77/9.22 --sat_fm_restart_options ""
% 6.77/9.22 --sat_gr_def false
% 6.77/9.22 --sat_epr_types true
% 6.77/9.22 --sat_non_cyclic_types false
% 6.77/9.22 --sat_finite_models false
% 6.77/9.22 --sat_fm_lemmas false
% 6.77/9.22 --sat_fm_prep false
% 6.77/9.22 --sat_fm_uc_incr true
% 6.77/9.22 --sat_out_model pos
% 6.77/9.22 --sat_out_clauses false
% 6.77/9.22
% 6.77/9.22 ------ QBF Options
% 6.77/9.22
% 6.77/9.22 --qbf_mode false
% 6.77/9.22 --qbf_elim_univ false
% 6.77/9.22 --qbf_dom_inst none
% 6.77/9.22 --qbf_dom_pre_inst false
% 6.77/9.22 --qbf_sk_in false
% 6.77/9.22 --qbf_pred_elim true
% 6.77/9.22 --qbf_split 512
% 6.77/9.22
% 6.77/9.22 ------ BMC1 Options
% 6.77/9.22
% 6.77/9.22 --bmc1_incremental false
% 6.77/9.22 --bmc1_axioms reachable_all
% 6.77/9.22 --bmc1_min_bound 0
% 6.77/9.22 --bmc1_max_bound -1
% 6.77/9.22 --bmc1_max_bound_default -1
% 6.77/9.22 --bmc1_symbol_reachability true
% 6.77/9.22 --bmc1_property_lemmas false
% 6.77/9.22 --bmc1_k_induction false
% 6.77/9.22 --bmc1_non_equiv_states false
% 6.77/9.22 --bmc1_deadlock false
% 6.77/9.22 --bmc1_ucm false
% 6.77/9.22 --bmc1_add_unsat_core none
% 6.77/9.22 --bmc1_unsat_core_children false
% 6.77/9.22 --bmc1_unsat_core_extrapolate_axioms false
% 6.77/9.22 --bmc1_out_stat full
% 6.77/9.22 --bmc1_ground_init false
% 6.77/9.22 --bmc1_pre_inst_next_state false
% 6.77/9.22 --bmc1_pre_inst_state false
% 6.77/9.22 --bmc1_pre_inst_reach_state false
% 6.77/9.22 --bmc1_out_unsat_core false
% 6.77/9.22 --bmc1_aig_witness_out false
% 6.77/9.22 --bmc1_verbose false
% 6.77/9.22 --bmc1_dump_clauses_tptp false
% 6.77/9.22 --bmc1_dump_unsat_core_tptp false
% 6.77/9.22 --bmc1_dump_file -
% 6.77/9.22 --bmc1_ucm_expand_uc_limit 128
% 6.77/9.22 --bmc1_ucm_n_expand_iterations 6
% 6.77/9.22 --bmc1_ucm_extend_mode 1
% 6.77/9.22 --bmc1_ucm_init_mode 2
% 6.77/9.22 --bmc1_ucm_cone_mode none
% 6.77/9.22 --bmc1_ucm_reduced_relation_type 0
% 6.77/9.22 --bmc1_ucm_relax_model 4
% 6.77/9.22 --bmc1_ucm_full_tr_after_sat true
% 6.77/9.22 --bmc1_ucm_expand_neg_assumptions false
% 6.77/9.22 --bmc1_ucm_layered_model none
% 6.77/9.22 --bmc1_ucm_max_lemma_size 10
% 6.77/9.22
% 6.77/9.22 ------ AIG Options
% 6.77/9.22
% 6.77/9.22 --aig_mode false
% 6.77/9.22
% 6.77/9.22 ------ Instantiation Options
% 6.77/9.22
% 6.77/9.22 --instantiation_flag true
% 6.77/9.22 --inst_sos_flag false
% 6.77/9.22 --inst_sos_phase true
% 6.77/9.22 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 6.77/9.22 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 6.77/9.22 --inst_lit_sel_side none
% 6.77/9.22 --inst_solver_per_active 1400
% 6.77/9.22 --inst_solver_calls_frac 1.
% 6.77/9.22 --inst_to_smt_solver true
% 6.77/9.22 --inst_passive_queue_type priority_queues
% 6.77/9.22 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.77/9.22 --inst_passive_queues_freq [25;2]
% 6.77/9.22 --inst_dismatching true
% 6.77/9.22 --inst_eager_unprocessed_to_passive true
% 6.77/9.22 --inst_unprocessed_bound 1000
% 6.77/9.22 --inst_prop_sim_given true
% 6.77/9.22 --inst_prop_sim_new false
% 6.77/9.22 --inst_subs_new false
% 6.77/9.22 --inst_eq_res_simp false
% 6.77/9.22 --inst_subs_given false
% 6.77/9.22 --inst_orphan_elimination true
% 6.77/9.22 --inst_learning_loop_flag true
% 6.77/9.22 --inst_learning_start 3000
% 6.77/9.22 --inst_learning_factor 2
% 6.77/9.22 --inst_start_prop_sim_after_learn 3
% 6.77/9.22 --inst_sel_renew solver
% 6.77/9.22 --inst_lit_activity_flag true
% 6.77/9.22 --inst_restr_to_given false
% 6.77/9.22 --inst_activity_threshold 500
% 6.77/9.22
% 6.77/9.22 ------ Resolution Options
% 6.77/9.22
% 6.77/9.22 --resolution_flag false
% 6.77/9.22 --res_lit_sel adaptive
% 6.77/9.22 --res_lit_sel_side none
% 6.77/9.22 --res_ordering kbo
% 6.77/9.22 --res_to_prop_solver active
% 6.77/9.22 --res_prop_simpl_new false
% 6.77/9.22 --res_prop_simpl_given true
% 6.77/9.22 --res_to_smt_solver true
% 6.77/9.22 --res_passive_queue_type priority_queues
% 6.77/9.22 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.77/9.22 --res_passive_queues_freq [15;5]
% 6.77/9.22 --res_forward_subs full
% 6.77/9.22 --res_backward_subs full
% 6.77/9.22 --res_forward_subs_resolution true
% 6.77/9.22 --res_backward_subs_resolution true
% 6.77/9.22 --res_orphan_elimination true
% 6.77/9.22 --res_time_limit 300.
% 6.77/9.22
% 6.77/9.22 ------ Superposition Options
% 6.77/9.22
% 6.77/9.22 --superposition_flag true
% 6.77/9.22 --sup_passive_queue_type priority_queues
% 6.77/9.22 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 6.77/9.22 --sup_passive_queues_freq [8;1;4;4]
% 6.77/9.22 --twee_lhs_weight 4
% 6.77/9.22 --sup_set_join false
% 6.77/9.22 --sup_set_join_goals true
% 6.77/9.22 --sup_set_join_limit 1000
% 6.77/9.22 --demod_completeness_check fast
% 6.77/9.22 --demod_use_ground true
% 6.77/9.22 --sup_unprocessed_bound 0
% 6.77/9.22 --sup_to_prop_solver passive
% 6.77/9.22 --sup_prop_simpl_new true
% 6.77/9.22 --sup_prop_simpl_given true
% 6.77/9.22 --sup_fun_splitting false
% 6.77/9.22 --sup_iter_deepening 2
% 6.77/9.22 --sup_restarts_mult 12
% 6.77/9.22 --sup_score sim_d_gen
% 6.77/9.22 --sup_share_score_frac 0.2
% 6.77/9.22 --sup_share_max_num_cl 500
% 6.77/9.22 --sup_ordering kbo
% 6.77/9.22 --sup_symb_ordering invfreq
% 6.77/9.22 --sup_term_weight default
% 6.77/9.22
% 6.77/9.22 ------ Superposition Simplification Setup
% 6.77/9.22
% 6.77/9.22 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 6.77/9.22 --sup_full_triv [SMTSimplify;PropSubs]
% 6.77/9.22 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 6.77/9.22 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 6.77/9.22 --sup_immed_triv []
% 6.77/9.22 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 6.77/9.22 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 6.77/9.22 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 6.77/9.22 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 6.77/9.22 --sup_input_triv [Unflattening;SMTSimplify]
% 6.77/9.22 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 6.77/9.22 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 6.77/9.22 --sup_full_fixpoint true
% 6.77/9.22 --sup_main_fixpoint true
% 6.77/9.22 --sup_immed_fixpoint false
% 6.77/9.22 --sup_input_fixpoint true
% 6.77/9.22 --sup_cache_sim none
% 6.77/9.22 --sup_smt_interval 500
% 6.77/9.22 --sup_bw_gjoin_interval 0
% 6.77/9.22
% 6.77/9.22 ------ Combination Options
% 6.77/9.22
% 6.77/9.22 --comb_mode clause_based
% 6.77/9.22 --comb_inst_mult 5
% 6.77/9.22 --comb_res_mult 1
% 6.77/9.22 --comb_sup_mult 8
% 6.77/9.22 --comb_sup_deep_mult 2
% 6.77/9.22
% 6.77/9.22 ------ Debug Options
% 6.77/9.22
% 6.77/9.22 --dbg_backtrace false
% 6.77/9.22 --dbg_dump_prop_clauses false
% 6.77/9.22 --dbg_dump_prop_clauses_file -
% 6.77/9.22 --dbg_out_stat false
% 6.77/9.22 --dbg_just_parse false
% 6.77/9.22
% 6.77/9.22
% 6.77/9.22
% 6.77/9.22
% 6.77/9.22 ------ Proving...
% 6.77/9.22
% 6.77/9.22
% 6.77/9.22 % SZS status Satisfiable for theBenchmark.p
% 6.77/9.22
% 6.77/9.22 % SZS output start Saturation for theBenchmark.p
% See solution above
% 6.77/9.26
% 6.77/9.26
%------------------------------------------------------------------------------