%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : CAT001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n001.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 01:01:19 PM UTC 2026
% Result : Satisfiable 10.67s 2.19s
% Output : Saturation 12.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : codomain(domain(X0)) = domain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
fof(f2,plain,
! [X0] : domain(X0) = codomain(domain(X0)),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : domain(codomain(X0)) = codomain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
fof(f4,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : compose(domain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_composition) ).
fof(f6,axiom,
! [X0] : compose(X0,codomain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_composition) ).
fof(f7,axiom,
! [X0,X1] :
( domain(compose(X0,X1)) = domain(X0)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain1) ).
fof(f8,plain,
! [X0,X1] :
( domain(X0) = domain(compose(X0,X1))
| codomain(X0) != domain(X1) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( codomain(compose(X0,X1)) = codomain(X1)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
fof(f11,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,compose(a,b)) != X1
| codomain(X2) != domain(compose(a,b))
| compose(X0,compose(a,b)) != X1
| codomain(X0) != domain(compose(a,b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f12,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,compose(a,b)) != X1
| domain(compose(a,b)) != codomain(X2)
| compose(X0,compose(a,b)) != X1
| codomain(X0) != domain(compose(a,b)) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f14,axiom,
codomain(a) = domain(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_h) ).
fof(f15,axiom,
codomain(a) = domain(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_g) ).
fof(f16,axiom,
compose(a,h) = compose(a,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ah_equals_ag) ).
fof(f17,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f18,plain,
! [X2,X0] :
( X0 = X2
| compose(X0,compose(a,b)) != compose(X2,compose(a,b))
| domain(compose(a,b)) != codomain(X2)
| codomain(X0) != domain(compose(a,b)) ),
inference(equality_resolution,[],[f12]) ).
tcf(c_62,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,plain,
! [X0: $i] : compose(domain(X0),X0) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i] : compose(X0,codomain(X0)) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,X1)) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)) )
| ( codomain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( domain(compose(a,b)) != codomain(X1) )
| ( domain(compose(a,b)) != codomain(X0) )
| ( compose(X0,compose(a,b)) != compose(X1,compose(a,b)) ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_70,plain,
codomain(a) = domain(b),
inference(cnf_transformation,[],[f13]) ).
tcf(c_71,plain,
codomain(a) = domain(h),
inference(cnf_transformation,[],[f14]) ).
tcf(c_72,plain,
codomain(a) = domain(g),
inference(cnf_transformation,[],[f15]) ).
tcf(c_73,plain,
compose(a,h) = compose(a,g),
inference(cnf_transformation,[],[f16]) ).
tcf(c_74,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f17]) ).
tcf(c_94,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_62,c_63]) ).
tcf(c_95,plain,
! [X0: $i] : codomain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_97,plain,
compose(codomain(a),b) = b,
inference(superposition,[status(thm)],[c_70,c_64]) ).
tcf(c_98,plain,
compose(codomain(a),h) = h,
inference(superposition,[status(thm)],[c_71,c_64]) ).
tcf(c_99,plain,
compose(codomain(a),g) = g,
inference(superposition,[status(thm)],[c_72,c_64]) ).
tcf(c_100,plain,
! [X0: $i] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_102,plain,
! [X0: $i] : compose(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_62,c_65]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( domain(compose(X0,b)) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_66]) ).
tcf(c_108,plain,
! [X0: $i] :
( ( domain(compose(X0,h)) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_66]) ).
tcf(c_109,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,codomain(X1))) = domain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),X1)) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_106,c_94]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),X1)) = codomain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_67]) ).
tcf(c_132,plain,
! [X0: $i] :
( ( codomain(compose(X0,b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_133,plain,
! [X0: $i] :
( ( codomain(compose(X0,h)) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_67]) ).
tcf(c_134,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_67]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X2),X0),X1) = compose(domain(X2),compose(X0,X1)) )
| ( domain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_68]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,b),X1) = compose(X0,compose(b,X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,h),X1) = compose(X0,compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_68]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X2,codomain(X0)),X1) = compose(X2,compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(X2) )
| ( codomain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_174,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_161,c_95]) ).
tcf(c_193,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_68]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = codomain(domain(X1)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_67]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,domain(X1))) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_66]) ).
tcf(c_200,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_193,c_62]) ).
tcf(c_212,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_68]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_67]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = domain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_66]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),X1)) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_214,c_63]) ).
tcf(c_246,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_107]) ).
tcf(c_247,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_107]) ).
tcf(c_248,plain,
domain(compose(a,b)) = domain(a),
inference(equality_resolution,[status(thm)],[c_107]) ).
tcf(c_249,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),b)) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_247,c_63]) ).
tcf(c_252,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),b)) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_246,c_94]) ).
tcf(c_262,plain,
compose(domain(a),compose(a,b)) = compose(a,b),
inference(superposition,[status(thm)],[c_248,c_64]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,b)),X0) = compose(X1,compose(compose(a,b),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_248,c_68]) ).
tcf(c_265,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_67]) ).
tcf(c_266,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(a,b))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_66]) ).
tcf(c_285,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),h)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_108]) ).
tcf(c_286,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),h)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_108]) ).
tcf(c_287,plain,
domain(compose(a,h)) = domain(a),
inference(equality_resolution,[status(thm)],[c_108]) ).
tcf(c_288,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),h)) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_286,c_63]) ).
tcf(c_291,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),h)) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_285,c_94]) ).
tcf(c_308,plain,
compose(domain(a),compose(a,h)) = compose(a,h),
inference(superposition,[status(thm)],[c_287,c_64]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,h)),X0) = compose(X1,compose(compose(a,h),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_68]) ).
tcf(c_311,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,h))) = codomain(compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_67]) ).
tcf(c_312,plain,
! [X0: $i] :
( ( domain(compose(X0,compose(a,h))) = domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_66]) ).
tcf(c_330,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_109]) ).
tcf(c_331,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = domain(codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_109]) ).
tcf(c_334,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),g)) = codomain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_331,c_63]) ).
tcf(c_337,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),g)) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_330,c_94]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != domain(a) )
| ( compose(X0,compose(a,b)) != compose(X1,compose(a,b)) ) ),
inference(light_normalisation,[status(thm)],[c_69,c_248]) ).
tcf(c_363,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ( codomain(X0) != domain(a) )
| ( codomain(domain(a)) != domain(a) )
| ( compose(X0,compose(a,b)) != compose(a,b) ) ),
inference(superposition,[status(thm)],[c_262,c_347]) ).
tcf(c_365,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ( codomain(X0) != domain(a) )
| ( compose(X0,compose(a,b)) != compose(a,b) ) ),
inference(ground_joinability,[status(thm)],[c_363,c_62]) ).
tcf(c_381,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),b)) = codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_132]) ).
tcf(c_382,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_132]) ).
tcf(c_383,plain,
codomain(compose(a,b)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_132]) ).
tcf(c_394,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),h)) = codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_133]) ).
tcf(c_395,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),h)) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_133]) ).
tcf(c_396,plain,
codomain(compose(a,h)) = codomain(h),
inference(equality_resolution,[status(thm)],[c_133]) ).
tcf(c_407,plain,
( ( codomain(compose(compose(a,b),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_133]) ).
tcf(c_408,plain,
( ( codomain(compose(compose(a,b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_132]) ).
tcf(c_409,plain,
( ( domain(compose(compose(a,b),g)) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_109]) ).
tcf(c_410,plain,
( ( domain(compose(compose(a,b),h)) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_108]) ).
tcf(c_411,plain,
( ( domain(compose(compose(a,b),b)) = domain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_107]) ).
tcf(c_414,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_383,c_68]) ).
tcf(c_415,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_67]) ).
tcf(c_416,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = domain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_66]) ).
tcf(c_417,plain,
compose(compose(a,b),codomain(b)) = compose(a,b),
inference(superposition,[status(thm)],[c_383,c_65]) ).
tcf(c_425,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),X0)) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_416,c_248]) ).
tcf(c_428,plain,
( ( domain(compose(compose(a,b),b)) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_411,c_248]) ).
tcf(c_431,plain,
( ( domain(compose(compose(a,b),h)) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_410,c_248]) ).
tcf(c_434,plain,
( ( domain(compose(compose(a,b),g)) = domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_409,c_248]) ).
tcf(c_472,plain,
( ( codomain(compose(compose(a,h),h)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_133]) ).
tcf(c_473,plain,
( ( codomain(compose(compose(a,h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_132]) ).
tcf(c_474,plain,
( ( domain(compose(compose(a,h),g)) = domain(compose(a,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_109]) ).
tcf(c_475,plain,
( ( domain(compose(compose(a,h),h)) = domain(compose(a,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_108]) ).
tcf(c_476,plain,
( ( domain(compose(compose(a,h),b)) = domain(compose(a,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_107]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),X0),X1) = compose(compose(a,h),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_396,c_68]) ).
tcf(c_480,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_67]) ).
tcf(c_481,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),X0)) = domain(compose(a,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_66]) ).
tcf(c_482,plain,
compose(compose(a,h),codomain(h)) = compose(a,h),
inference(superposition,[status(thm)],[c_396,c_65]) ).
tcf(c_490,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),X0)) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_481,c_287]) ).
tcf(c_493,plain,
( ( domain(compose(compose(a,h),b)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_476,c_287]) ).
tcf(c_496,plain,
( ( domain(compose(compose(a,h),h)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_475,c_287]) ).
tcf(c_499,plain,
( ( domain(compose(compose(a,h),g)) = domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_474,c_287]) ).
tcf(c_524,plain,
codomain(compose(a,g)) = codomain(g),
inference(equality_resolution,[status(thm)],[c_134]) ).
tcf(c_525,plain,
codomain(h) = codomain(g),
inference(light_normalisation,[status(thm)],[c_524,c_73,c_396]) ).
tcf(c_534,plain,
! [X0: $i] :
( ( codomain(compose(X0,g)) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_134,c_525]) ).
tcf(c_558,plain,
( ( codomain(compose(g,h)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_133]) ).
tcf(c_559,plain,
( ( codomain(compose(g,b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_132]) ).
tcf(c_560,plain,
( ( domain(compose(g,g)) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_109]) ).
tcf(c_561,plain,
( ( domain(compose(g,h)) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_108]) ).
tcf(c_562,plain,
( ( domain(compose(g,b)) = domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_107]) ).
tcf(c_565,plain,
compose(g,codomain(h)) = g,
inference(superposition,[status(thm)],[c_525,c_65]) ).
tcf(c_567,plain,
( ( domain(compose(g,b)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_562,c_72]) ).
tcf(c_570,plain,
( ( domain(compose(g,h)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_561,c_72]) ).
tcf(c_573,plain,
( ( domain(compose(g,g)) = codomain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_560,c_72]) ).
tcf(c_597,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),g)) = codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_534]) ).
tcf(c_598,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),g)) = codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_534]) ).
tcf(c_599,plain,
( ( codomain(compose(g,g)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_534]) ).
tcf(c_600,plain,
( ( codomain(compose(compose(a,h),g)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_534]) ).
tcf(c_601,plain,
( ( codomain(compose(compose(a,b),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_534]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),h),X1) = compose(domain(X0),compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_159]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),h),X1) = compose(codomain(X0),compose(h,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_159]) ).
tcf(c_655,plain,
! [X0: $i] :
( ( compose(compose(g,h),X0) = compose(g,compose(h,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_159]) ).
tcf(c_656,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),h),X0) = compose(compose(a,h),compose(h,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_159]) ).
tcf(c_657,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),h),X0) = compose(compose(a,b),compose(h,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_159]) ).
tcf(c_658,plain,
! [X0: $i] :
( ( compose(compose(a,h),X0) = compose(a,compose(h,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_159]) ).
tcf(c_713,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_110]) ).
tcf(c_714,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = domain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_110]) ).
tcf(c_715,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),codomain(X0))) = domain(compose(a,h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_110]) ).
tcf(c_716,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(X0))) = domain(compose(a,b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_110]) ).
tcf(c_727,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(X0))) = codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_714,c_72]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),codomain(X1))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_713,c_63]) ).
tcf(c_743,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_716,c_248]) ).
tcf(c_746,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),codomain(X0))) = domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_715,c_287]) ).
tcf(c_778,plain,
! [X0: $i] :
( ( domain(compose(domain(g),X0)) = domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_119]) ).
tcf(c_781,plain,
! [X0: $i] :
( ( domain(compose(domain(compose(a,h)),X0)) = domain(compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_119]) ).
tcf(c_782,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,b))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_119]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(X0))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_119]) ).
tcf(c_787,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X0),domain(X1))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_119]) ).
tcf(c_788,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),compose(a,h))) = domain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_119]) ).
tcf(c_791,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),X0)) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_778,c_72]) ).
tcf(c_806,plain,
! [X0: $i] :
( ( domain(compose(domain(a),X0)) = domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_781,c_287]) ).
tcf(c_832,plain,
! [X0: $i] :
( ( codomain(compose(domain(g),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_131]) ).
tcf(c_835,plain,
! [X0: $i] :
( ( codomain(compose(domain(compose(a,h)),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_131]) ).
tcf(c_836,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,b))) = codomain(compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_131]) ).
tcf(c_840,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(codomain(X0)) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_131]) ).
tcf(c_842,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,h))) = codomain(compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_131]) ).
tcf(c_845,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),X0)) = codomain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_832,c_72]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_840,c_95]) ).
tcf(c_857,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),X0)) = codomain(X0) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_835,c_287]) ).
tcf(c_861,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,h))) = codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_842,c_396]) ).
tcf(c_864,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),compose(a,b))) = codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_836,c_383]) ).
tcf(c_882,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_195]) ).
tcf(c_883,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),domain(X0))) = domain(compose(a,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_195]) ).
tcf(c_884,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(X0))) = domain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_195]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X0),domain(X1))) = codomain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_882,c_63]) ).
tcf(c_909,plain,
! [X0: $i] :
( ( domain(compose(compose(a,b),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_884,c_248]) ).
tcf(c_912,plain,
! [X0: $i] :
( ( domain(compose(compose(a,h),domain(X0))) = domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_883,c_287]) ).
tcf(c_969,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,h)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_213]) ).
tcf(c_970,plain,
! [X0: $i] :
( ( codomain(compose(codomain(compose(a,b)),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_213]) ).
tcf(c_971,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_213]) ).
tcf(c_977,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,h))) = codomain(compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_213]) ).
tcf(c_984,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),X0)) = codomain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_970,c_383]) ).
tcf(c_987,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),X0)) = codomain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_969,c_396]) ).
tcf(c_990,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,h))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_977,c_396]) ).
tcf(c_993,plain,
! [X0: $i] :
( ( codomain(compose(codomain(X0),compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_971,c_383]) ).
tcf(c_1028,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,h)),X0)) = codomain(compose(a,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_219]) ).
tcf(c_1029,plain,
! [X0: $i] :
( ( domain(compose(codomain(compose(a,b)),X0)) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_219]) ).
tcf(c_1030,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,b))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_219]) ).
tcf(c_1036,plain,
! [X0: $i] :
( ( domain(compose(codomain(X0),compose(a,h))) = codomain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_219]) ).
tcf(c_1043,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),X0)) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1029,c_383]) ).
tcf(c_1046,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),X0)) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1028,c_396]) ).
tcf(c_1059,plain,
( ( domain(compose(codomain(g),b)) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_249]) ).
tcf(c_1061,plain,
( ( domain(compose(codomain(compose(a,b)),b)) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_249]) ).
tcf(c_1064,plain,
( ( domain(compose(codomain(h),b)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1059,c_525]) ).
tcf(c_1069,plain,
( ( domain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1061,c_383]) ).
tcf(c_1099,plain,
( ( domain(compose(domain(compose(a,h)),b)) = domain(compose(a,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_252]) ).
tcf(c_1105,plain,
( ( domain(compose(domain(a),b)) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1099,c_287]) ).
tcf(c_1118,plain,
( ( domain(compose(codomain(g),h)) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_288]) ).
tcf(c_1120,plain,
( ( domain(compose(codomain(compose(a,b)),h)) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_288]) ).
tcf(c_1123,plain,
( ( domain(compose(codomain(h),h)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1118,c_525]) ).
tcf(c_1128,plain,
( ( domain(compose(codomain(b),h)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1120,c_383]) ).
tcf(c_1147,plain,
( ( domain(compose(domain(compose(a,h)),h)) = domain(compose(a,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_291]) ).
tcf(c_1153,plain,
( ( domain(compose(domain(a),h)) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1147,c_287]) ).
tcf(c_1163,plain,
( ( domain(compose(codomain(g),g)) = codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_334]) ).
tcf(c_1165,plain,
( ( domain(compose(codomain(compose(a,b)),g)) = codomain(compose(a,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_334]) ).
tcf(c_1168,plain,
( ( domain(compose(codomain(h),g)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1163,c_525]) ).
tcf(c_1173,plain,
( ( domain(compose(codomain(b),g)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1165,c_383]) ).
tcf(c_1213,plain,
( ( domain(compose(domain(compose(a,h)),g)) = domain(compose(a,h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_337]) ).
tcf(c_1219,plain,
( ( domain(compose(domain(a),g)) = domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1213,c_287]) ).
tcf(c_1233,plain,
( ( codomain(compose(domain(compose(a,h)),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_381]) ).
tcf(c_1239,plain,
( ( codomain(compose(domain(a),b)) = codomain(b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1233,c_287]) ).
tcf(c_1249,plain,
( ( codomain(compose(codomain(g),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_382]) ).
tcf(c_1251,plain,
( ( codomain(compose(codomain(compose(a,b)),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_382]) ).
tcf(c_1254,plain,
( ( codomain(compose(codomain(h),b)) = codomain(b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1249,c_525]) ).
tcf(c_1259,plain,
( ( codomain(compose(codomain(b),b)) = codomain(b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1251,c_383]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,g),X1) = compose(X0,compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_160,c_525]) ).
tcf(c_1273,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),g),X1) = compose(domain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1263]) ).
tcf(c_1274,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),g),X1) = compose(codomain(X0),compose(g,X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1263]) ).
tcf(c_1275,plain,
! [X0: $i] :
( ( compose(compose(g,g),X0) = compose(g,compose(g,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_1263]) ).
tcf(c_1276,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),g),X0) = compose(compose(a,h),compose(g,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1263]) ).
tcf(c_1277,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),X0) = compose(compose(a,b),compose(g,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1263]) ).
tcf(c_1278,plain,
! [X0: $i] :
( ( compose(compose(a,g),X0) = compose(a,compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_1263]) ).
tcf(c_1279,plain,
! [X0: $i] :
( ( compose(compose(a,h),X0) = compose(a,compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1278,c_73]) ).
tcf(c_1337,plain,
( ( codomain(compose(domain(compose(a,h)),h)) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_394]) ).
tcf(c_1343,plain,
( ( codomain(compose(domain(a),h)) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1337,c_287]) ).
tcf(c_1362,plain,
( ( codomain(compose(domain(compose(a,h)),g)) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_597]) ).
tcf(c_1368,plain,
( ( codomain(compose(domain(a),g)) = codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1362,c_287]) ).
tcf(c_1381,plain,
! [X0: $i] :
( ( domain(compose(codomain(a),domain(X0))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_791]) ).
tcf(c_1398,plain,
( ( codomain(compose(codomain(g),h)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_395]) ).
tcf(c_1400,plain,
( ( codomain(compose(codomain(compose(a,b)),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_395]) ).
tcf(c_1403,plain,
( ( codomain(compose(codomain(h),h)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1398,c_525]) ).
tcf(c_1408,plain,
( ( codomain(compose(codomain(b),h)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1400,c_383]) ).
tcf(c_1423,plain,
( ( codomain(compose(codomain(g),g)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_598]) ).
tcf(c_1425,plain,
( ( codomain(compose(codomain(compose(a,b)),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_598]) ).
tcf(c_1428,plain,
( ( codomain(compose(codomain(h),g)) = codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1423,c_525]) ).
tcf(c_1433,plain,
( ( codomain(compose(codomain(b),g)) = codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1425,c_383]) ).
tcf(c_1468,plain,
! [X0: $i] :
( ( domain(compose(g,codomain(domain(X0)))) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_727]) ).
tcf(c_1478,plain,
! [X0: $i] :
( ( domain(compose(g,domain(X0))) = codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1468,c_62]) ).
tcf(c_1512,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_845]) ).
tcf(c_1515,plain,
! [X0: $i] :
( ( codomain(compose(codomain(a),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1512,c_62]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(a,h)),X1) = compose(X0,compose(compose(a,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_310,c_396]) ).
tcf(c_1580,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),compose(a,b)) = compose(X0,compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_1570]) ).
tcf(c_1581,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),b) = compose(X0,compose(compose(a,h),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1570]) ).
tcf(c_1582,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),h) = compose(X0,compose(compose(a,h),h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_1570]) ).
tcf(c_1583,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),g) = compose(X0,compose(compose(a,h),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1570]) ).
tcf(c_1584,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,h)),codomain(X0)) = compose(X1,compose(compose(a,h),codomain(X0))) )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1570]) ).
tcf(c_1585,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(a,h)),domain(X1)) = compose(X0,compose(compose(a,h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_1570]) ).
tcf(c_1586,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),compose(a,h)) = compose(X0,compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1570]) ).
tcf(c_1639,plain,
( ( domain(compose(g,domain(compose(a,h)))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1478]) ).
tcf(c_1647,plain,
( ( domain(compose(g,domain(a))) = codomain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1639,c_287]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_135,c_95]) ).
tcf(c_1659,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),codomain(X1))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_1651]) ).
tcf(c_1660,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_1651]) ).
tcf(c_1661,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,h),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1651]) ).
tcf(c_1662,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_1651]) ).
tcf(c_1714,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(demodulation,[status(thm)],[c_194,c_62]) ).
tcf(c_1721,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X0),domain(X1))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_1714]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X0),domain(X1))) = domain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_1714]) ).
tcf(c_1723,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1714]) ).
tcf(c_1724,plain,
! [X0: $i] :
( ( codomain(compose(compose(a,b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_1714]) ).
tcf(c_1782,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_984]) ).
tcf(c_1785,plain,
! [X0: $i] :
( ( codomain(compose(codomain(b),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_1782,c_62]) ).
tcf(c_1826,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_987]) ).
tcf(c_1829,plain,
! [X0: $i] :
( ( codomain(compose(codomain(h),domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_1826,c_62]) ).
tcf(c_1852,plain,
! [X0: $i] :
( ( domain(compose(codomain(b),domain(X0))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_1043]) ).
tcf(c_1887,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),domain(X0))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1046]) ).
tcf(c_1927,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,h))) = codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_311,c_396]) ).
tcf(c_1936,plain,
( ( codomain(compose(compose(a,h),compose(a,h))) = codomain(h) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_1927]) ).
tcf(c_1937,plain,
( ( codomain(compose(compose(a,b),compose(a,h))) = codomain(h) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_1927]) ).
tcf(c_1948,plain,
( ( domain(compose(compose(a,h),compose(a,b))) = domain(compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_266]) ).
tcf(c_1949,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_266]) ).
tcf(c_1952,plain,
( ( domain(compose(compose(a,b),compose(a,b))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1949,c_248]) ).
tcf(c_1955,plain,
( ( domain(compose(compose(a,h),compose(a,b))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1948,c_287]) ).
tcf(c_1964,plain,
( ( domain(compose(compose(a,h),compose(a,h))) = domain(compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_312]) ).
tcf(c_1965,plain,
( ( domain(compose(compose(a,b),compose(a,h))) = domain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_312]) ).
tcf(c_1968,plain,
( ( domain(compose(compose(a,b),compose(a,h))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1965,c_248]) ).
tcf(c_1971,plain,
( ( domain(compose(compose(a,h),compose(a,h))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1964,c_287]) ).
tcf(c_1996,plain,
( ( codomain(compose(compose(a,b),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_415]) ).
tcf(c_2006,plain,
( ( codomain(compose(compose(a,b),compose(a,b))) = codomain(b) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_1996,c_383]) ).
tcf(c_2061,plain,
( ( codomain(compose(compose(a,h),compose(a,b))) = codomain(compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_480]) ).
tcf(c_2071,plain,
( ( codomain(compose(compose(a,h),compose(a,b))) = codomain(b) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2061,c_383]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),codomain(domain(X0)))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_786]) ).
tcf(c_2081,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(a,h)))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_786]) ).
tcf(c_2082,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(compose(a,b)))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_786]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(codomain(X1)),codomain(X0))) = domain(codomain(X1)) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_786]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(domain(X1),domain(X0))) = domain(X1) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_2079,c_62]) ).
tcf(c_2101,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(b))) = domain(X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2082,c_383]) ).
tcf(c_2104,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(h))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2081,c_396]) ).
tcf(c_2117,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_854]) ).
tcf(c_2119,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(a,h)))) = codomain(compose(a,h)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_854]) ).
tcf(c_2120,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(compose(a,b)))) = codomain(compose(a,b)) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_854]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(codomain(X1)),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_854]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(domain(X1),domain(X0))) = domain(X0) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_2117,c_62]) ).
tcf(c_2141,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(b))) = codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2120,c_383]) ).
tcf(c_2144,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(h))) = codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2119,c_396]) ).
tcf(c_2173,plain,
! [X0: $i] :
( ( codomain(compose(g,codomain(domain(X0)))) = codomain(domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_1660]) ).
tcf(c_2183,plain,
! [X0: $i] :
( ( codomain(compose(g,domain(X0))) = domain(X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2173,c_62]) ).
tcf(c_2224,plain,
( ( codomain(compose(g,domain(compose(a,h)))) = domain(compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_2183]) ).
tcf(c_2232,plain,
( ( codomain(compose(g,domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2224,c_287]) ).
tcf(c_2357,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X0)),X1) = compose(compose(a,h),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_479]) ).
tcf(c_2358,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),X1) = compose(compose(a,h),compose(codomain(X0),X1)) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_479]) ).
tcf(c_2359,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,h)),X0) = compose(compose(a,h),compose(compose(a,h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_479]) ).
tcf(c_2360,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),X0) = compose(compose(a,h),compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_479]) ).
tcf(c_2361,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),compose(a,b)) = compose(compose(a,h),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_479]) ).
tcf(c_2362,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),b) = compose(compose(a,h),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_479]) ).
tcf(c_2363,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),h) = compose(compose(a,h),compose(X0,h)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_479]) ).
tcf(c_2364,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),g) = compose(compose(a,h),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_479]) ).
tcf(c_2365,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),X0),codomain(X1)) = compose(compose(a,h),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_479]) ).
tcf(c_2366,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),X0),domain(X1)) = compose(compose(a,h),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_479]) ).
tcf(c_2367,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),compose(a,h)) = compose(compose(a,h),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_479]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),X1) = compose(compose(a,h),compose(codomain(X0),X1)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_2358,c_63]) ).
tcf(c_2387,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X0)),X1) = compose(compose(a,h),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_2357,c_94]) ).
tcf(c_2397,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),X0) = compose(compose(a,h),compose(compose(a,b),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_2360,c_248]) ).
tcf(c_2401,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,h)),X0) = compose(compose(a,h),compose(compose(a,h),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_2359,c_287]) ).
tcf(c_2448,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),domain(g))) = domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1721]) ).
tcf(c_2454,plain,
! [X0: $i] :
( ( codomain(compose(domain(X0),codomain(a))) = codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2448,c_72]) ).
tcf(c_2586,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),domain(g))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_787]) ).
tcf(c_2592,plain,
! [X0: $i] :
( ( domain(compose(domain(X0),codomain(a))) = domain(X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_2586,c_72]) ).
tcf(c_2737,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),compose(a,b)) = compose(domain(X0),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_653]) ).
tcf(c_2738,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),b) = compose(domain(X0),compose(h,b)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_653]) ).
tcf(c_2739,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),h) = compose(domain(X0),compose(h,h)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_653]) ).
tcf(c_2740,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),g) = compose(domain(X0),compose(h,g)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_653]) ).
tcf(c_2741,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),h),codomain(X0)) = compose(domain(X1),compose(h,codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_653]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),h),domain(X0)) = compose(domain(X1),compose(h,domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_653]) ).
tcf(c_2743,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),compose(a,h)) = compose(domain(X0),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_653]) ).
tcf(c_3177,plain,
! [X0: $i] :
( ( compose(compose(codomain(g),h),X0) = compose(codomain(g),compose(h,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_654]) ).
tcf(c_3179,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,b)),h),X0) = compose(codomain(compose(a,b)),compose(h,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_654]) ).
tcf(c_3180,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),h),X0) = compose(codomain(a),compose(h,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_654]) ).
tcf(c_3181,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(h,X0)) = compose(h,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3180,c_98]) ).
tcf(c_3184,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),h),X0) = compose(codomain(h),compose(h,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3177,c_525]) ).
tcf(c_3190,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),h),X0) = compose(codomain(b),compose(h,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3179,c_383]) ).
tcf(c_3262,plain,
( ( compose(compose(g,h),compose(a,b)) = compose(g,compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_655]) ).
tcf(c_3263,plain,
( ( compose(compose(g,h),b) = compose(g,compose(h,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_655]) ).
tcf(c_3264,plain,
( ( compose(compose(g,h),h) = compose(g,compose(h,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_655]) ).
tcf(c_3265,plain,
( ( compose(compose(g,h),g) = compose(g,compose(h,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_655]) ).
tcf(c_3266,plain,
! [X0: $i] :
( ( compose(compose(g,h),codomain(X0)) = compose(g,compose(h,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_655]) ).
tcf(c_3267,plain,
! [X0: $i] :
( ( compose(compose(g,h),domain(X0)) = compose(g,compose(h,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_655]) ).
tcf(c_3268,plain,
( ( compose(compose(g,h),compose(a,h)) = compose(g,compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_655]) ).
tcf(c_3295,plain,
( ( compose(compose(compose(a,h),h),compose(a,b)) = compose(compose(a,h),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_656]) ).
tcf(c_3296,plain,
( ( compose(compose(compose(a,h),h),b) = compose(compose(a,h),compose(h,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_656]) ).
tcf(c_3297,plain,
( ( compose(compose(compose(a,h),h),h) = compose(compose(a,h),compose(h,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_656]) ).
tcf(c_3298,plain,
( ( compose(compose(compose(a,h),h),g) = compose(compose(a,h),compose(h,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_656]) ).
tcf(c_3299,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),h),codomain(X0)) = compose(compose(a,h),compose(h,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_656]) ).
tcf(c_3300,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),h),domain(X0)) = compose(compose(a,h),compose(h,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_656]) ).
tcf(c_3301,plain,
( ( compose(compose(compose(a,h),h),compose(a,h)) = compose(compose(a,h),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_656]) ).
tcf(c_3332,plain,
( ( domain(compose(compose(a,b),codomain(g))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_743]) ).
tcf(c_3338,plain,
( ( domain(compose(compose(a,b),codomain(h))) = domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3332,c_525]) ).
tcf(c_3447,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(codomain(X1),codomain(X0))) = codomain(X0) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_2125,c_63]) ).
tcf(c_3482,plain,
( ( domain(compose(compose(a,b),domain(compose(a,h)))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_909]) ).
tcf(c_3490,plain,
( ( domain(compose(compose(a,b),domain(a))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3482,c_287]) ).
tcf(c_3504,plain,
( ( domain(compose(compose(a,h),domain(compose(a,h)))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_912]) ).
tcf(c_3512,plain,
( ( domain(compose(compose(a,h),domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3504,c_287]) ).
tcf(c_3587,plain,
( ( compose(compose(a,h),compose(a,b)) = compose(a,compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_658]) ).
tcf(c_3588,plain,
( ( compose(compose(a,h),b) = compose(a,compose(h,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_658]) ).
tcf(c_3589,plain,
( ( compose(compose(a,h),h) = compose(a,compose(h,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_658]) ).
tcf(c_3590,plain,
( ( compose(compose(a,h),g) = compose(a,compose(h,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_658]) ).
tcf(c_3591,plain,
! [X0: $i] :
( ( compose(compose(a,h),codomain(X0)) = compose(a,compose(h,codomain(X0))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_658]) ).
tcf(c_3592,plain,
! [X0: $i] :
( ( compose(compose(a,h),domain(X0)) = compose(a,compose(h,domain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_658]) ).
tcf(c_3593,plain,
( ( compose(compose(a,h),compose(a,h)) = compose(a,compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_658]) ).
tcf(c_3610,plain,
! [X0: $i] :
( ( codomain(compose(X0,compose(a,b))) = codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_265,c_383]) ).
tcf(c_3621,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(codomain(X1),codomain(X0))) = codomain(X1) )
| ( codomain(X0) != codomain(X1) ) ),
inference(demodulation,[status(thm)],[c_2087,c_63]) ).
tcf(c_3649,plain,
( ( codomain(compose(compose(a,b),codomain(g))) = codomain(g) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_1662]) ).
tcf(c_3655,plain,
( ( codomain(compose(compose(a,b),codomain(h))) = codomain(h) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3649,c_525]) ).
tcf(c_3672,plain,
( ( codomain(compose(compose(a,h),domain(compose(a,h)))) = domain(compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1723]) ).
tcf(c_3680,plain,
( ( codomain(compose(compose(a,h),domain(a))) = domain(a) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3672,c_287]) ).
tcf(c_3694,plain,
( ( codomain(compose(compose(a,b),domain(compose(a,h)))) = domain(compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1724]) ).
tcf(c_3702,plain,
( ( codomain(compose(compose(a,b),domain(a))) = domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_3694,c_287]) ).
tcf(c_3713,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(a,b)) = compose(domain(X0),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_1273]) ).
tcf(c_3714,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),b) = compose(domain(X0),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_1273]) ).
tcf(c_3715,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),h) = compose(domain(X0),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_1273]) ).
tcf(c_3716,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),g) = compose(domain(X0),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_1273]) ).
tcf(c_3717,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),g),codomain(X0)) = compose(domain(X1),compose(g,codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1273]) ).
tcf(c_3718,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),g),domain(X0)) = compose(domain(X1),compose(g,domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1273]) ).
tcf(c_3719,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),compose(a,h)) = compose(domain(X0),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1273]) ).
tcf(c_3759,plain,
( ( compose(codomain(a),compose(h,compose(a,b))) = compose(h,compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_3181]) ).
tcf(c_3760,plain,
( ( compose(codomain(a),compose(h,b)) = compose(h,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3181]) ).
tcf(c_3761,plain,
( ( compose(codomain(a),compose(h,h)) = compose(h,h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3181]) ).
tcf(c_3762,plain,
( ( compose(codomain(a),compose(h,g)) = compose(h,g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3181]) ).
tcf(c_3763,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(h,codomain(X0))) = compose(h,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3181]) ).
tcf(c_3764,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(h,domain(X0))) = compose(h,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_3181]) ).
tcf(c_3765,plain,
( ( compose(codomain(a),compose(h,compose(a,h))) = compose(h,compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3181]) ).
tcf(c_3803,plain,
! [X0: $i] :
( ( compose(compose(codomain(g),g),X0) = compose(codomain(g),compose(g,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_1274]) ).
tcf(c_3805,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,b)),g),X0) = compose(codomain(compose(a,b)),compose(g,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1274]) ).
tcf(c_3806,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),g),X0) = compose(codomain(a),compose(g,X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_1274]) ).
tcf(c_3807,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(g,X0)) = compose(g,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3806,c_99]) ).
tcf(c_3810,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),g),X0) = compose(codomain(h),compose(g,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3803,c_525]) ).
tcf(c_3816,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),X0) = compose(codomain(b),compose(g,X0)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_3805,c_383]) ).
tcf(c_3853,plain,
( ( compose(codomain(a),compose(g,compose(a,b))) = compose(g,compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_3807]) ).
tcf(c_3854,plain,
( ( compose(codomain(a),compose(g,b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3807]) ).
tcf(c_3855,plain,
( ( compose(codomain(a),compose(g,h)) = compose(g,h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3807]) ).
tcf(c_3856,plain,
( ( compose(codomain(a),compose(g,g)) = compose(g,g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3807]) ).
tcf(c_3857,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(g,codomain(X0))) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3807]) ).
tcf(c_3858,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(g,domain(X0))) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_3807]) ).
tcf(c_3859,plain,
( ( compose(codomain(a),compose(g,compose(a,h))) = compose(g,compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3807]) ).
tcf(c_3892,plain,
( ( compose(compose(a,h),compose(a,b)) = compose(a,compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_1279]) ).
tcf(c_3893,plain,
( ( compose(compose(a,h),b) = compose(a,compose(g,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1279]) ).
tcf(c_3894,plain,
( ( compose(compose(a,h),h) = compose(a,compose(g,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_1279]) ).
tcf(c_3895,plain,
( ( compose(compose(a,h),g) = compose(a,compose(g,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1279]) ).
tcf(c_3896,plain,
! [X0: $i] :
( ( compose(compose(a,h),codomain(X0)) = compose(a,compose(g,codomain(X0))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1279]) ).
tcf(c_3897,plain,
! [X0: $i] :
( ( compose(compose(a,h),domain(X0)) = compose(a,compose(g,domain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1279]) ).
tcf(c_3898,plain,
( ( compose(compose(a,h),compose(a,h)) = compose(a,compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1279]) ).
tcf(c_3933,plain,
( ( compose(compose(g,g),compose(a,b)) = compose(g,compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_1275]) ).
tcf(c_3934,plain,
( ( compose(compose(g,g),b) = compose(g,compose(g,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1275]) ).
tcf(c_3935,plain,
( ( compose(compose(g,g),h) = compose(g,compose(g,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_1275]) ).
tcf(c_3936,plain,
( ( compose(compose(g,g),g) = compose(g,compose(g,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1275]) ).
tcf(c_3937,plain,
! [X0: $i] :
( ( compose(compose(g,g),codomain(X0)) = compose(g,compose(g,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1275]) ).
tcf(c_3938,plain,
! [X0: $i] :
( ( compose(compose(g,g),domain(X0)) = compose(g,compose(g,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1275]) ).
tcf(c_3939,plain,
( ( compose(compose(g,g),compose(a,h)) = compose(g,compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_1275]) ).
tcf(c_4015,plain,
( ( compose(compose(compose(a,h),g),compose(a,b)) = compose(compose(a,h),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_1276]) ).
tcf(c_4016,plain,
( ( compose(compose(compose(a,h),g),b) = compose(compose(a,h),compose(g,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_1276]) ).
tcf(c_4017,plain,
( ( compose(compose(compose(a,h),g),h) = compose(compose(a,h),compose(g,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_1276]) ).
tcf(c_4018,plain,
( ( compose(compose(compose(a,h),g),g) = compose(compose(a,h),compose(g,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_1276]) ).
tcf(c_4019,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),g),codomain(X0)) = compose(compose(a,h),compose(g,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_1276]) ).
tcf(c_4020,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),g),domain(X0)) = compose(compose(a,h),compose(g,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_1276]) ).
tcf(c_4021,plain,
( ( compose(compose(compose(a,h),g),compose(a,h)) = compose(compose(a,h),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_1276]) ).
tcf(c_4094,plain,
( ( compose(codomain(a),compose(h,domain(compose(a,h)))) = compose(h,domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3764]) ).
tcf(c_4102,plain,
( ( compose(codomain(a),compose(h,domain(a))) = compose(h,domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4094,c_287]) ).
tcf(c_4134,plain,
( ( compose(codomain(a),compose(g,domain(compose(a,h)))) = compose(g,domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3858]) ).
tcf(c_4142,plain,
( ( compose(codomain(a),compose(g,domain(a))) = compose(g,domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4134,c_287]) ).
tcf(c_4210,plain,
( ( compose(compose(a,h),domain(compose(a,h))) = compose(a,compose(h,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3592]) ).
tcf(c_4218,plain,
( ( compose(compose(a,h),domain(a)) = compose(a,compose(h,domain(a))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4210,c_287]) ).
tcf(c_4232,plain,
( ( compose(compose(a,h),domain(compose(a,h))) = compose(a,compose(g,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3897]) ).
tcf(c_4240,plain,
( ( compose(compose(a,h),domain(a)) = compose(a,compose(g,domain(a))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4232,c_287]) ).
tcf(c_4266,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),compose(a,b)) = compose(domain(X0),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1580]) ).
tcf(c_4267,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),compose(a,b)) = compose(codomain(X0),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1580]) ).
tcf(c_4268,plain,
( ( compose(compose(compose(a,h),compose(a,h)),compose(a,b)) = compose(compose(a,h),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_1580]) ).
tcf(c_4269,plain,
( ( compose(compose(compose(a,b),compose(a,h)),compose(a,b)) = compose(compose(a,b),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_1580]) ).
tcf(c_4341,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_62,c_158]) ).
tcf(c_4342,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_158]) ).
tcf(c_4343,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_525,c_158]) ).
tcf(c_4344,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),b),X0) = compose(compose(a,h),compose(b,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_158]) ).
tcf(c_4345,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_383,c_158]) ).
tcf(c_4346,plain,
! [X0: $i] :
( ( compose(compose(a,b),X0) = compose(a,compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_158]) ).
tcf(c_4407,plain,
( ( compose(compose(a,b),compose(a,b)) = compose(a,compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4346]) ).
tcf(c_4408,plain,
( ( compose(compose(a,b),b) = compose(a,compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_4346]) ).
tcf(c_4409,plain,
( ( compose(compose(a,b),h) = compose(a,compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_4346]) ).
tcf(c_4410,plain,
( ( compose(compose(a,b),g) = compose(a,compose(b,g)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_4346]) ).
tcf(c_4411,plain,
! [X0: $i] :
( ( compose(compose(a,b),codomain(X0)) = compose(a,compose(b,codomain(X0))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_4346]) ).
tcf(c_4412,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_4346]) ).
tcf(c_4413,plain,
( ( compose(compose(a,b),compose(a,h)) = compose(a,compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4346]) ).
tcf(c_4469,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),b) = compose(domain(X0),compose(compose(a,h),b)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1581]) ).
tcf(c_4470,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),b) = compose(codomain(X0),compose(compose(a,h),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1581]) ).
tcf(c_4471,plain,
( ( compose(compose(compose(a,h),compose(a,h)),b) = compose(compose(a,h),compose(compose(a,h),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1581]) ).
tcf(c_4472,plain,
( ( compose(compose(compose(a,b),compose(a,h)),b) = compose(compose(a,b),compose(compose(a,h),b)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1581]) ).
tcf(c_4497,plain,
( ( compose(compose(a,b),codomain(g)) = compose(a,compose(b,codomain(g))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4411]) ).
tcf(c_4503,plain,
( ( compose(compose(a,b),codomain(h)) = compose(a,compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4497,c_525]) ).
tcf(c_4546,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_62,c_157]) ).
tcf(c_4547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),codomain(X0)),X2) = compose(domain(X1),compose(codomain(X0),X2)) )
| ( codomain(X0) != domain(X2) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_157]) ).
tcf(c_4548,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(a,h)),X1) = compose(domain(X0),compose(compose(a,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_396,c_157]) ).
tcf(c_4549,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(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_383,c_157]) ).
tcf(c_4550,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_157]) ).
tcf(c_4551,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_157]) ).
tcf(c_4552,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),h) = compose(domain(X1),compose(X0,h)) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_157]) ).
tcf(c_4553,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),g) = compose(domain(X1),compose(X0,g)) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_157]) ).
tcf(c_4554,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_63,c_157]) ).
tcf(c_4555,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_157]) ).
tcf(c_4556,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),X0),compose(a,h)) = compose(domain(X1),compose(X0,compose(a,h))) )
| ( domain(X0) != domain(X1) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_157]) ).
tcf(c_4572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),codomain(X0)),X2) = compose(domain(X1),compose(codomain(X0),X2)) )
| ( codomain(X0) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_4547,c_63]) ).
tcf(c_4576,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_4546,c_94]) ).
tcf(c_4586,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,b)),X0) = compose(domain(X1),compose(compose(a,b),X0)) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4549,c_248]) ).
tcf(c_4590,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,h)),X0) = compose(domain(X1),compose(compose(a,h),X0)) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4548,c_287]) ).
tcf(c_4613,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(g)),X1) = compose(X0,compose(codomain(g),X1)) )
| ( domain(X1) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_174]) ).
tcf(c_4615,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_383,c_174]) ).
tcf(c_4617,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(superposition,[status(thm)],[c_95,c_174]) ).
tcf(c_4618,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_525,c_174]) ).
tcf(c_4620,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_383,c_174]) ).
tcf(c_4621,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_174]) ).
tcf(c_4622,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,compose(codomain(X0),X1)) = compose(X0,X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_4621,c_65]) ).
tcf(c_4628,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_4613,c_525]) ).
tcf(c_4640,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_4615,c_383]) ).
tcf(c_4676,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_62,c_4622]) ).
tcf(c_4677,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_4622]) ).
tcf(c_4678,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(compose(a,h)),X0)) = compose(compose(a,h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4622]) ).
tcf(c_4679,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_383,c_4622]) ).
tcf(c_4680,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(a,b))) = compose(X0,compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4622]) ).
tcf(c_4681,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),b)) = compose(X0,b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_4622]) ).
tcf(c_4682,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),h)) = compose(X0,h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_4622]) ).
tcf(c_4683,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),g)) = compose(X0,g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4622]) ).
tcf(c_4684,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_63,c_4622]) ).
tcf(c_4685,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_4622]) ).
tcf(c_4686,plain,
! [X0: $i] :
( ( compose(X0,compose(codomain(X0),compose(a,h))) = compose(X0,compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4622]) ).
tcf(c_4697,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_4677,c_95]) ).
tcf(c_4700,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_4676,c_62]) ).
tcf(c_4707,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_4679,c_383]) ).
tcf(c_4710,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(h),X0)) = compose(compose(a,h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4678,c_396]) ).
tcf(c_4749,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),b)) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_4681]) ).
tcf(c_4750,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_4681]) ).
tcf(c_4751,plain,
( ( compose(g,compose(codomain(g),b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4681]) ).
tcf(c_4752,plain,
( ( compose(compose(a,h),compose(codomain(compose(a,h)),b)) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4681]) ).
tcf(c_4753,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_383,c_4681]) ).
tcf(c_4756,plain,
( ( compose(g,compose(codomain(h),b)) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4751,c_525]) ).
tcf(c_4759,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),b)) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4750,c_95]) ).
tcf(c_4762,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),b)) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4749,c_62]) ).
tcf(c_4765,plain,
( ( compose(compose(a,b),compose(codomain(b),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4753,c_383]) ).
tcf(c_4768,plain,
( ( compose(compose(a,h),compose(codomain(h),b)) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4752,c_396]) ).
tcf(c_4804,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),h)) = compose(domain(X0),h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_4682]) ).
tcf(c_4805,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),h)) = compose(codomain(X0),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_4682]) ).
tcf(c_4806,plain,
( ( compose(g,compose(codomain(g),h)) = compose(g,h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4682]) ).
tcf(c_4807,plain,
( ( compose(compose(a,h),compose(codomain(compose(a,h)),h)) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4682]) ).
tcf(c_4808,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),h)) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_4682]) ).
tcf(c_4811,plain,
( ( compose(g,compose(codomain(h),h)) = compose(g,h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4806,c_525]) ).
tcf(c_4814,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),h)) = compose(codomain(X0),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4805,c_95]) ).
tcf(c_4817,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),h)) = compose(domain(X0),h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4804,c_62]) ).
tcf(c_4820,plain,
( ( compose(compose(a,b),compose(codomain(b),h)) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4808,c_383]) ).
tcf(c_4823,plain,
( ( compose(compose(a,h),compose(codomain(h),h)) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4807,c_396]) ).
tcf(c_4854,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(codomain(domain(X0)),g)) = compose(domain(X0),g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_4683]) ).
tcf(c_4855,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(codomain(X0)),g)) = compose(codomain(X0),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_4683]) ).
tcf(c_4856,plain,
( ( compose(g,compose(codomain(g),g)) = compose(g,g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4683]) ).
tcf(c_4857,plain,
( ( compose(compose(a,h),compose(codomain(compose(a,h)),g)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4683]) ).
tcf(c_4858,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),g)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_4683]) ).
tcf(c_4861,plain,
( ( compose(g,compose(codomain(h),g)) = compose(g,g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4856,c_525]) ).
tcf(c_4864,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),g)) = compose(codomain(X0),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4855,c_95]) ).
tcf(c_4867,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),g)) = compose(domain(X0),g) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_4854,c_62]) ).
tcf(c_4870,plain,
( ( compose(compose(a,b),compose(codomain(b),g)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_4858,c_383]) ).
tcf(c_4873,plain,
( ( compose(compose(a,h),compose(codomain(h),g)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4857,c_396]) ).
tcf(c_4921,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_4684]) ).
tcf(c_4922,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(g),codomain(X0))) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4684]) ).
tcf(c_4923,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(compose(a,h)),codomain(X0))) = compose(compose(a,h),codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4684]) ).
tcf(c_4924,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_383,c_4684]) ).
tcf(c_4935,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),codomain(X0))) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4922,c_525]) ).
tcf(c_4942,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_4921,c_95]) ).
tcf(c_4951,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_4924,c_383]) ).
tcf(c_4954,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(h),codomain(X0))) = compose(compose(a,h),codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4923,c_396]) ).
tcf(c_4970,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_62,c_4685]) ).
tcf(c_4971,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_4685]) ).
tcf(c_4972,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(compose(a,h)),domain(X0))) = compose(compose(a,h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4685]) ).
tcf(c_4973,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_383,c_4685]) ).
tcf(c_4990,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_4971,c_95]) ).
tcf(c_4993,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_4970,c_62]) ).
tcf(c_5000,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_4973,c_383]) ).
tcf(c_5003,plain,
! [X0: $i] :
( ( compose(compose(a,h),compose(codomain(h),domain(X0))) = compose(compose(a,h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_4972,c_396]) ).
tcf(c_5018,plain,
! [X0: $i] :
( ( compose(codomain(compose(a,h)),compose(codomain(compose(a,h)),X0)) = compose(codomain(compose(a,h)),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4697]) ).
tcf(c_5019,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_383,c_4697]) ).
tcf(c_5020,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(a,b))) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4697]) ).
tcf(c_5026,plain,
! [X0: $i] :
( ( compose(codomain(X0),compose(codomain(X0),compose(a,h))) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4697]) ).
tcf(c_5033,plain,
! [X0: $i] :
( ( compose(codomain(b),compose(codomain(b),X0)) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5019,c_383]) ).
tcf(c_5036,plain,
! [X0: $i] :
( ( compose(codomain(h),compose(codomain(h),X0)) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5018,c_396]) ).
tcf(c_5071,plain,
! [X0: $i] :
( ( compose(domain(g),compose(domain(g),X0)) = compose(domain(g),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4700]) ).
tcf(c_5074,plain,
! [X0: $i] :
( ( compose(domain(compose(a,h)),compose(domain(compose(a,h)),X0)) = compose(domain(compose(a,h)),X0) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4700]) ).
tcf(c_5075,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(a,b))) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4700]) ).
tcf(c_5079,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_63,c_4700]) ).
tcf(c_5081,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),compose(a,h))) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4700]) ).
tcf(c_5084,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(codomain(a),X0)) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5071,c_72]) ).
tcf(c_5097,plain,
! [X0: $i] :
( ( compose(domain(a),compose(domain(a),X0)) = compose(domain(a),X0) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5074,c_287]) ).
tcf(c_5123,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),h) = compose(domain(X0),compose(compose(a,h),h)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1582]) ).
tcf(c_5124,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),h) = compose(codomain(X0),compose(compose(a,h),h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1582]) ).
tcf(c_5125,plain,
( ( compose(compose(compose(a,h),compose(a,h)),h) = compose(compose(a,h),compose(compose(a,h),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1582]) ).
tcf(c_5126,plain,
( ( compose(compose(compose(a,b),compose(a,h)),h) = compose(compose(a,b),compose(compose(a,h),h)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1582]) ).
tcf(c_5151,plain,
( ( compose(domain(compose(a,h)),compose(domain(compose(a,h)),b)) = compose(domain(compose(a,h)),b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4762]) ).
tcf(c_5157,plain,
( ( compose(domain(a),compose(domain(a),b)) = compose(domain(a),b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5151,c_287]) ).
tcf(c_5171,plain,
( ( compose(domain(compose(a,h)),compose(domain(compose(a,h)),h)) = compose(domain(compose(a,h)),h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4817]) ).
tcf(c_5177,plain,
( ( compose(domain(a),compose(domain(a),h)) = compose(domain(a),h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5171,c_287]) ).
tcf(c_5191,plain,
( ( compose(domain(compose(a,h)),compose(domain(compose(a,h)),g)) = compose(domain(compose(a,h)),g) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4867]) ).
tcf(c_5197,plain,
( ( compose(domain(a),compose(domain(a),g)) = compose(domain(a),g) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5191,c_287]) ).
tcf(c_5207,plain,
( ( compose(codomain(g),compose(codomain(g),b)) = compose(codomain(g),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4759]) ).
tcf(c_5209,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_383,c_4759]) ).
tcf(c_5212,plain,
( ( compose(codomain(h),compose(codomain(h),b)) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5207,c_525]) ).
tcf(c_5217,plain,
( ( compose(codomain(b),compose(codomain(b),b)) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5209,c_383]) ).
tcf(c_5227,plain,
( ( compose(codomain(g),compose(codomain(g),h)) = compose(codomain(g),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4814]) ).
tcf(c_5229,plain,
( ( compose(codomain(compose(a,b)),compose(codomain(compose(a,b)),h)) = compose(codomain(compose(a,b)),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_4814]) ).
tcf(c_5232,plain,
( ( compose(codomain(h),compose(codomain(h),h)) = compose(codomain(h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5227,c_525]) ).
tcf(c_5237,plain,
( ( compose(codomain(b),compose(codomain(b),h)) = compose(codomain(b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5229,c_383]) ).
tcf(c_5263,plain,
( ( compose(codomain(g),compose(codomain(g),g)) = compose(codomain(g),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_4864]) ).
tcf(c_5265,plain,
( ( compose(codomain(compose(a,b)),compose(codomain(compose(a,b)),g)) = compose(codomain(compose(a,b)),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_4864]) ).
tcf(c_5268,plain,
( ( compose(codomain(h),compose(codomain(h),g)) = compose(codomain(h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5263,c_525]) ).
tcf(c_5273,plain,
( ( compose(codomain(b),compose(codomain(b),g)) = compose(codomain(b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_5265,c_383]) ).
tcf(c_5285,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_62,c_4935]) ).
tcf(c_5295,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),domain(X0))) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_5285,c_62]) ).
tcf(c_5352,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_5033]) ).
tcf(c_5373,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_5036]) ).
tcf(c_5401,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_5084]) ).
tcf(c_5448,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),g) = compose(domain(X0),compose(compose(a,h),g)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1583]) ).
tcf(c_5449,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),g) = compose(codomain(X0),compose(compose(a,h),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1583]) ).
tcf(c_5450,plain,
( ( compose(compose(compose(a,h),compose(a,h)),g) = compose(compose(a,h),compose(compose(a,h),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1583]) ).
tcf(c_5451,plain,
( ( compose(compose(compose(a,b),compose(a,h)),g) = compose(compose(a,b),compose(compose(a,h),g)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1583]) ).
tcf(c_5485,plain,
( ( compose(g,compose(codomain(h),domain(compose(a,h)))) = compose(g,domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_5295]) ).
tcf(c_5493,plain,
( ( compose(g,compose(codomain(h),domain(a))) = compose(g,domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5485,c_287]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,h)),codomain(X0)) = compose(domain(X1),compose(compose(a,h),codomain(X0))) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_1584]) ).
tcf(c_5559,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),codomain(X1)) = compose(codomain(X0),compose(compose(a,h),codomain(X1))) )
| ( codomain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1584]) ).
tcf(c_5560,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,h)),codomain(X0)) = compose(compose(a,h),compose(compose(a,h),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_1584]) ).
tcf(c_5561,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,h)),codomain(X0)) = compose(compose(a,b),compose(compose(a,h),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_1584]) ).
tcf(c_5592,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),domain(g))) = compose(domain(X0),domain(g)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4993]) ).
tcf(c_5598,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_5592,c_72]) ).
tcf(c_5637,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_62,c_5079]) ).
tcf(c_5639,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(domain(X0),codomain(compose(a,h)))) = compose(domain(X0),codomain(compose(a,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_5079]) ).
tcf(c_5640,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_383,c_5079]) ).
tcf(c_5645,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_63,c_5079]) ).
tcf(c_5652,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_5637,c_62]) ).
tcf(c_5659,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_5640,c_383]) ).
tcf(c_5662,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_5639,c_396]) ).
tcf(c_5804,plain,
( ( compose(compose(a,b),domain(compose(a,h))) = compose(a,compose(b,domain(compose(a,h)))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4412]) ).
tcf(c_5812,plain,
( ( compose(compose(a,b),domain(a)) = compose(a,compose(b,domain(a))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5804,c_287]) ).
tcf(c_5830,plain,
( ( compose(compose(a,h),compose(codomain(compose(a,h)),compose(a,b))) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_4680]) ).
tcf(c_5831,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_4680]) ).
tcf(c_5834,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5831,c_383]) ).
tcf(c_5837,plain,
( ( compose(compose(a,h),compose(codomain(h),compose(a,b))) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5830,c_396]) ).
tcf(c_5846,plain,
( ( compose(compose(a,h),compose(codomain(compose(a,h)),compose(a,h))) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_4686]) ).
tcf(c_5847,plain,
( ( compose(compose(a,b),compose(codomain(compose(a,b)),compose(a,h))) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_4686]) ).
tcf(c_5850,plain,
( ( compose(compose(a,b),compose(codomain(b),compose(a,h))) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5847,c_383]) ).
tcf(c_5853,plain,
( ( compose(compose(a,h),compose(codomain(h),compose(a,h))) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5846,c_396]) ).
tcf(c_5908,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),domain(compose(a,h))) = compose(X0,compose(compose(a,h),domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_1585]) ).
tcf(c_5919,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,h)),domain(a)) = compose(X0,compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_5908,c_287]) ).
tcf(c_6200,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),compose(a,h)) = compose(domain(X0),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_1586]) ).
tcf(c_6201,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),compose(a,h)) = compose(codomain(X0),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_1586]) ).
tcf(c_6202,plain,
( ( compose(compose(compose(a,h),compose(a,h)),compose(a,h)) = compose(compose(a,h),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_1586]) ).
tcf(c_6203,plain,
( ( compose(compose(compose(a,b),compose(a,h)),compose(a,h)) = compose(compose(a,b),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_1586]) ).
tcf(c_6282,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),compose(a,b)) = compose(compose(a,h),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2361]) ).
tcf(c_6283,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),compose(a,b)) = compose(compose(a,h),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != domain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2361]) ).
tcf(c_6285,plain,
( ( compose(compose(compose(a,h),compose(a,b)),compose(a,b)) = compose(compose(a,h),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2361]) ).
tcf(c_6286,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),compose(a,b)) = compose(compose(a,h),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6283,c_63]) ).
tcf(c_6290,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),compose(a,b)) = compose(compose(a,h),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6282,c_94]) ).
tcf(c_6294,plain,
( ( compose(compose(compose(a,h),compose(a,b)),compose(a,b)) = compose(compose(a,h),compose(compose(a,b),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6285,c_248]) ).
tcf(c_6302,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_5645,c_63]) ).
tcf(c_6339,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_525,c_4951]) ).
tcf(c_6345,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_6339,c_525]) ).
tcf(c_6379,plain,
( ( compose(compose(a,b),compose(codomain(b),domain(compose(a,h)))) = compose(compose(a,b),domain(compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_5000]) ).
tcf(c_6387,plain,
( ( compose(compose(a,b),compose(codomain(b),domain(a))) = compose(compose(a,b),domain(a)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6379,c_287]) ).
tcf(c_6397,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),b) = compose(compose(a,h),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2362]) ).
tcf(c_6398,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),b) = compose(compose(a,h),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2362]) ).
tcf(c_6401,plain,
( ( compose(compose(compose(a,h),compose(a,b)),b) = compose(compose(a,h),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2362]) ).
tcf(c_6402,plain,
( ( compose(compose(compose(a,h),a),b) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_2362]) ).
tcf(c_6406,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),b) = compose(compose(a,h),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6398,c_63]) ).
tcf(c_6410,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),b) = compose(compose(a,h),compose(domain(X0),b)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6397,c_94]) ).
tcf(c_6414,plain,
( ( compose(compose(compose(a,h),compose(a,b)),b) = compose(compose(a,h),compose(compose(a,b),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6401,c_248]) ).
tcf(c_6427,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_62,c_200]) ).
tcf(c_6428,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(superposition,[status(thm)],[c_95,c_200]) ).
tcf(c_6430,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_383,c_200]) ).
tcf(c_6434,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(g)),X1) = compose(X0,compose(domain(g),X1)) )
| ( domain(X1) != domain(g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_200]) ).
tcf(c_6437,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,domain(compose(a,h))),X0) = compose(X1,compose(domain(compose(a,h)),X0)) )
| ( codomain(X1) != domain(a) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_200]) ).
tcf(c_6438,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_6434,c_72]) ).
tcf(c_6455,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,domain(a)),X1) = compose(X0,compose(domain(a),X1)) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6437,c_287]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(compose(a,h)),X0),X1) = compose(codomain(compose(a,h)),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_396,c_212]) ).
tcf(c_6472,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_383,c_212]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(a,b)),X0) = compose(codomain(X1),compose(compose(a,b),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_248,c_212]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(a,h)),X0) = compose(codomain(X1),compose(compose(a,h),X0)) )
| ( codomain(X1) != domain(a) )
| ( codomain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_212]) ).
tcf(c_6487,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_6472,c_383]) ).
tcf(c_6491,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),X0),X1) = compose(codomain(h),compose(X0,X1)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_6471,c_396]) ).
tcf(c_6495,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),X1) = compose(codomain(X0),compose(compose(a,h),X1)) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6479,c_396]) ).
tcf(c_6499,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6473,c_383]) ).
tcf(c_6518,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),b) = compose(domain(codomain(X0)),compose(h,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2738]) ).
tcf(c_6520,plain,
( ( compose(compose(domain(compose(a,h)),h),b) = compose(domain(compose(a,h)),compose(h,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_2738]) ).
tcf(c_6525,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),b) = compose(codomain(X0),compose(h,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6518,c_63]) ).
tcf(c_6529,plain,
( ( compose(compose(domain(a),h),b) = compose(domain(a),compose(h,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6520,c_287]) ).
tcf(c_6549,plain,
( ( compose(compose(a,h),compose(codomain(h),domain(compose(a,h)))) = compose(compose(a,h),domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_5003]) ).
tcf(c_6557,plain,
( ( compose(compose(a,h),compose(codomain(h),domain(a))) = compose(compose(a,h),domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6549,c_287]) ).
tcf(c_6635,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),h) = compose(compose(a,h),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2363]) ).
tcf(c_6636,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),h) = compose(compose(a,h),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2363]) ).
tcf(c_6639,plain,
( ( compose(compose(compose(a,h),compose(a,b)),h) = compose(compose(a,h),compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2363]) ).
tcf(c_6640,plain,
( ( compose(compose(compose(a,h),a),h) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_2363]) ).
tcf(c_6644,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),h) = compose(compose(a,h),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6636,c_63]) ).
tcf(c_6648,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),h) = compose(compose(a,h),compose(domain(X0),h)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6635,c_94]) ).
tcf(c_6652,plain,
( ( compose(compose(compose(a,h),compose(a,b)),h) = compose(compose(a,h),compose(compose(a,b),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6639,c_248]) ).
tcf(c_6669,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),h) = compose(domain(codomain(X0)),compose(h,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2739]) ).
tcf(c_6671,plain,
( ( compose(compose(domain(compose(a,h)),h),h) = compose(domain(compose(a,h)),compose(h,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_2739]) ).
tcf(c_6676,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),h) = compose(codomain(X0),compose(h,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6669,c_63]) ).
tcf(c_6680,plain,
( ( compose(compose(domain(a),h),h) = compose(domain(a),compose(h,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6671,c_287]) ).
tcf(c_6696,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),g) = compose(domain(codomain(X0)),compose(h,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2740]) ).
tcf(c_6698,plain,
( ( compose(compose(domain(compose(a,h)),h),g) = compose(domain(compose(a,h)),compose(h,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_2740]) ).
tcf(c_6703,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),g) = compose(codomain(X0),compose(h,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6696,c_63]) ).
tcf(c_6707,plain,
( ( compose(compose(domain(a),h),g) = compose(domain(a),compose(h,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6698,c_287]) ).
tcf(c_6747,plain,
( ( compose(compose(g,b),compose(a,b)) = compose(g,compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_4343]) ).
tcf(c_6748,plain,
( ( compose(compose(g,b),b) = compose(g,compose(b,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_4343]) ).
tcf(c_6749,plain,
( ( compose(compose(g,b),h) = compose(g,compose(b,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_4343]) ).
tcf(c_6750,plain,
( ( compose(compose(g,b),g) = compose(g,compose(b,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_4343]) ).
tcf(c_6751,plain,
! [X0: $i] :
( ( compose(compose(g,b),codomain(X0)) = compose(g,compose(b,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_4343]) ).
tcf(c_6752,plain,
! [X0: $i] :
( ( compose(compose(g,b),domain(X0)) = compose(g,compose(b,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_4343]) ).
tcf(c_6753,plain,
( ( compose(compose(g,b),compose(a,h)) = compose(g,compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_4343]) ).
tcf(c_6783,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),g) = compose(compose(a,h),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2364]) ).
tcf(c_6784,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),g) = compose(compose(a,h),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2364]) ).
tcf(c_6787,plain,
( ( compose(compose(compose(a,h),compose(a,b)),g) = compose(compose(a,h),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2364]) ).
tcf(c_6788,plain,
( ( compose(compose(compose(a,h),a),g) = compose(compose(a,h),compose(a,g)) )
| ( codomain(h) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_2364]) ).
tcf(c_6789,plain,
( ( compose(compose(compose(a,h),a),g) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6788,c_73]) ).
tcf(c_6793,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),g) = compose(compose(a,h),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6784,c_63]) ).
tcf(c_6797,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),g) = compose(compose(a,h),compose(domain(X0),g)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6783,c_94]) ).
tcf(c_6801,plain,
( ( compose(compose(compose(a,h),compose(a,b)),g) = compose(compose(a,h),compose(compose(a,b),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_6787,c_248]) ).
tcf(c_6875,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),b) = compose(domain(codomain(X0)),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3714]) ).
tcf(c_6877,plain,
( ( compose(compose(domain(compose(a,h)),g),b) = compose(domain(compose(a,h)),compose(g,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3714]) ).
tcf(c_6882,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),b) = compose(codomain(X0),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_6875,c_63]) ).
tcf(c_6886,plain,
( ( compose(compose(domain(a),g),b) = compose(domain(a),compose(g,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_6877,c_287]) ).
tcf(c_6922,plain,
( ( compose(compose(codomain(h),h),compose(a,b)) = compose(codomain(h),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_3184]) ).
tcf(c_6923,plain,
( ( compose(compose(codomain(h),h),b) = compose(codomain(h),compose(h,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3184]) ).
tcf(c_6924,plain,
( ( compose(compose(codomain(h),h),h) = compose(codomain(h),compose(h,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3184]) ).
tcf(c_6925,plain,
( ( compose(compose(codomain(h),h),g) = compose(codomain(h),compose(h,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3184]) ).
tcf(c_6926,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),h),codomain(X0)) = compose(codomain(h),compose(h,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3184]) ).
tcf(c_6927,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),h),domain(X0)) = compose(codomain(h),compose(h,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_3184]) ).
tcf(c_6928,plain,
( ( compose(compose(codomain(h),h),compose(a,h)) = compose(codomain(h),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3184]) ).
tcf(c_7033,plain,
( ( compose(compose(g,h),domain(g)) = compose(g,compose(h,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3267]) ).
tcf(c_7036,plain,
( ( compose(compose(g,h),domain(compose(a,h))) = compose(g,compose(h,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3267]) ).
tcf(c_7037,plain,
( ( compose(compose(g,h),codomain(a)) = compose(g,compose(h,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7033,c_72]) ).
tcf(c_7044,plain,
( ( compose(compose(g,h),domain(a)) = compose(g,compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7036,c_287]) ).
tcf(c_7059,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(X1)) = compose(compose(a,h),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2365]) ).
tcf(c_7060,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(X1)) = compose(compose(a,h),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2365]) ).
tcf(c_7063,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),codomain(X0)) = compose(compose(a,h),compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2365]) ).
tcf(c_7069,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),codomain(X0)) = compose(compose(a,h),compose(X0,codomain(X0))) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_2365]) ).
tcf(c_7070,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),X0),codomain(X0)) = compose(compose(a,h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7069,c_65]) ).
tcf(c_7084,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(X1)) = compose(compose(a,h),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7060,c_63]) ).
tcf(c_7088,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X1)),codomain(X0)) = compose(compose(a,h),compose(domain(X1),codomain(X0))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7059,c_94]) ).
tcf(c_7097,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),codomain(X0)) = compose(compose(a,h),compose(compose(a,b),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7063,c_248]) ).
tcf(c_7143,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),h) = compose(domain(codomain(X0)),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3715]) ).
tcf(c_7145,plain,
( ( compose(compose(domain(compose(a,h)),g),h) = compose(domain(compose(a,h)),compose(g,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3715]) ).
tcf(c_7150,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),h) = compose(codomain(X0),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7143,c_63]) ).
tcf(c_7154,plain,
( ( compose(compose(domain(a),g),h) = compose(domain(a),compose(g,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7145,c_287]) ).
tcf(c_7218,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),g) = compose(domain(codomain(X0)),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3716]) ).
tcf(c_7220,plain,
( ( compose(compose(domain(compose(a,h)),g),g) = compose(domain(compose(a,h)),compose(g,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3716]) ).
tcf(c_7225,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),g) = compose(codomain(X0),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7218,c_63]) ).
tcf(c_7229,plain,
( ( compose(compose(domain(a),g),g) = compose(domain(a),compose(g,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7220,c_287]) ).
tcf(c_7247,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(a,b)) = compose(domain(X0),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4341]) ).
tcf(c_7248,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_4341]) ).
tcf(c_7249,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),h) = compose(domain(X0),compose(b,h)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_4341]) ).
tcf(c_7250,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),g) = compose(domain(X0),compose(b,g)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4341]) ).
tcf(c_7251,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),b),codomain(X0)) = compose(domain(X1),compose(b,codomain(X0))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_4341]) ).
tcf(c_7252,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),b),domain(X0)) = compose(domain(X1),compose(b,domain(X0))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_4341]) ).
tcf(c_7253,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),compose(a,h)) = compose(domain(X0),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_4341]) ).
tcf(c_7309,plain,
( ( compose(compose(compose(a,h),compose(a,b)),codomain(compose(a,b))) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_7070]) ).
tcf(c_7310,plain,
( ( compose(compose(compose(a,h),b),codomain(b)) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_7070]) ).
tcf(c_7311,plain,
( ( compose(compose(compose(a,h),h),codomain(h)) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_7070]) ).
tcf(c_7312,plain,
( ( compose(compose(compose(a,h),g),codomain(g)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_7070]) ).
tcf(c_7313,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(codomain(X0))) = compose(compose(a,h),codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_7070]) ).
tcf(c_7314,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(domain(X0))) = compose(compose(a,h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_7070]) ).
tcf(c_7315,plain,
( ( compose(compose(compose(a,h),compose(a,h)),codomain(compose(a,h))) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7070]) ).
tcf(c_7316,plain,
( ( compose(compose(compose(a,h),g),codomain(h)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7312,c_525]) ).
tcf(c_7323,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),domain(X0)) = compose(compose(a,h),domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7314,c_62]) ).
tcf(c_7326,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(X0)) = compose(compose(a,h),codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7313,c_95]) ).
tcf(c_7329,plain,
( ( compose(compose(compose(a,h),compose(a,h)),codomain(h)) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7315,c_396]) ).
tcf(c_7332,plain,
( ( compose(compose(compose(a,h),compose(a,b)),codomain(b)) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7309,c_383]) ).
tcf(c_7377,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),domain(compose(a,h))) = compose(compose(a,h),domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7323]) ).
tcf(c_7385,plain,
( ( compose(compose(compose(a,h),domain(a)),domain(a)) = compose(compose(a,h),domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7377,c_287]) ).
tcf(c_7425,plain,
( ( compose(compose(codomain(h),g),compose(a,b)) = compose(codomain(h),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_3810]) ).
tcf(c_7426,plain,
( ( compose(compose(codomain(h),g),b) = compose(codomain(h),compose(g,b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_3810]) ).
tcf(c_7427,plain,
( ( compose(compose(codomain(h),g),h) = compose(codomain(h),compose(g,h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_3810]) ).
tcf(c_7428,plain,
( ( compose(compose(codomain(h),g),g) = compose(codomain(h),compose(g,g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3810]) ).
tcf(c_7429,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),g),codomain(X0)) = compose(codomain(h),compose(g,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_3810]) ).
tcf(c_7430,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),g),domain(X0)) = compose(codomain(h),compose(g,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_3810]) ).
tcf(c_7431,plain,
( ( compose(compose(codomain(h),g),compose(a,h)) = compose(codomain(h),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3810]) ).
tcf(c_7505,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X0)),domain(X1)) = compose(compose(a,h),compose(domain(X0),domain(X1))) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2366]) ).
tcf(c_7506,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),domain(X1)) = compose(compose(a,h),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2366]) ).
tcf(c_7507,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,h)),domain(X0)) = compose(compose(a,h),compose(compose(a,h),domain(X0))) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_2366]) ).
tcf(c_7508,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),domain(X0)) = compose(compose(a,h),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2366]) ).
tcf(c_7528,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),domain(X1)) = compose(compose(a,h),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7506,c_63]) ).
tcf(c_7532,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X0)),domain(X1)) = compose(compose(a,h),compose(domain(X0),domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7505,c_94]) ).
tcf(c_7541,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,b)),domain(X0)) = compose(compose(a,h),compose(compose(a,b),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7508,c_248]) ).
tcf(c_7545,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),compose(a,h)),domain(X0)) = compose(compose(a,h),compose(compose(a,h),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7507,c_287]) ).
tcf(c_7582,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),b) = compose(domain(X0),compose(compose(a,b),b)) )
| ( domain(X0) != domain(a) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4551]) ).
tcf(c_7586,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_63,c_4551]) ).
tcf(c_7587,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_4551]) ).
tcf(c_7592,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),b) = compose(domain(g),compose(X0,b)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4551]) ).
tcf(c_7593,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_63,c_4551]) ).
tcf(c_7596,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_4551]) ).
tcf(c_7597,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,b)) = compose(X0,b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7596,c_64]) ).
tcf(c_7600,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_7592,c_72]) ).
tcf(c_7613,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_7587,c_62]) ).
tcf(c_7617,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_7586,c_95]) ).
tcf(c_7627,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7582,c_383]) ).
tcf(c_7654,plain,
( ( compose(domain(compose(a,h)),compose(compose(a,h),b)) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_7597]) ).
tcf(c_7655,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_383,c_7597]) ).
tcf(c_7660,plain,
( ( compose(domain(a),compose(compose(a,b),b)) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7655,c_248]) ).
tcf(c_7663,plain,
( ( compose(domain(a),compose(compose(a,h),b)) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7654,c_287]) ).
tcf(c_7689,plain,
( ( compose(compose(g,g),domain(g)) = compose(g,compose(g,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3938]) ).
tcf(c_7692,plain,
( ( compose(compose(g,g),domain(compose(a,h))) = compose(g,compose(g,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3938]) ).
tcf(c_7693,plain,
( ( compose(compose(g,g),codomain(a)) = compose(g,compose(g,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7689,c_72]) ).
tcf(c_7700,plain,
( ( compose(compose(g,g),domain(a)) = compose(g,compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7692,c_287]) ).
tcf(c_7717,plain,
! [X0: $i] :
( ( compose(compose(codomain(g),b),X0) = compose(codomain(g),compose(b,X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_525,c_4342]) ).
tcf(c_7719,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_383,c_4342]) ).
tcf(c_7720,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),b),X0) = compose(codomain(a),compose(b,X0)) )
| ( domain(X0) != codomain(b) ) ),
inference(equality_resolution,[status(thm)],[c_4342]) ).
tcf(c_7721,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(b,X0)) = compose(b,X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_7720,c_97]) ).
tcf(c_7724,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_7717,c_525]) ).
tcf(c_7730,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_7719,c_383]) ).
tcf(c_7750,plain,
( ( compose(codomain(a),compose(b,compose(a,b))) = compose(b,compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_7721]) ).
tcf(c_7751,plain,
( ( compose(codomain(a),compose(b,b)) = compose(b,b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_7721]) ).
tcf(c_7752,plain,
( ( compose(codomain(a),compose(b,h)) = compose(b,h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_7721]) ).
tcf(c_7753,plain,
( ( compose(codomain(a),compose(b,g)) = compose(b,g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_7721]) ).
tcf(c_7754,plain,
! [X0: $i] :
( ( compose(codomain(a),compose(b,codomain(X0))) = compose(b,codomain(X0)) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_7721]) ).
tcf(c_7755,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_7721]) ).
tcf(c_7756,plain,
( ( compose(codomain(a),compose(b,compose(a,h))) = compose(b,compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7721]) ).
tcf(c_7842,plain,
( ( compose(codomain(a),compose(b,codomain(g))) = compose(b,codomain(g)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_7754]) ).
tcf(c_7847,plain,
( ( compose(codomain(a),compose(b,codomain(h))) = compose(b,codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7842,c_525]) ).
tcf(c_7904,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),compose(a,h)) = compose(compose(a,h),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_2367]) ).
tcf(c_7905,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),compose(a,h)) = compose(compose(a,h),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_2367]) ).
tcf(c_7907,plain,
( ( compose(compose(compose(a,h),compose(a,b)),compose(a,h)) = compose(compose(a,h),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2367]) ).
tcf(c_7908,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),compose(a,h)) = compose(compose(a,h),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7905,c_63]) ).
tcf(c_7912,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),compose(a,h)) = compose(compose(a,h),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_7904,c_94]) ).
tcf(c_7916,plain,
( ( compose(compose(compose(a,h),compose(a,b)),compose(a,h)) = compose(compose(a,h),compose(compose(a,b),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7907,c_248]) ).
tcf(c_7935,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),h) = compose(domain(X0),compose(compose(a,b),h)) )
| ( domain(X0) != domain(a) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4552]) ).
tcf(c_7939,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),h) = compose(domain(X1),compose(codomain(X0),h)) )
| ( codomain(X0) != domain(X1) )
| ( codomain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4552]) ).
tcf(c_7940,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),h) = compose(domain(X1),compose(domain(X0),h)) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_4552]) ).
tcf(c_7945,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),h) = compose(domain(g),compose(X0,h)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4552]) ).
tcf(c_7946,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),h) = compose(domain(codomain(X1)),compose(X0,h)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4552]) ).
tcf(c_7949,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),h) = compose(domain(X0),compose(X0,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_4552]) ).
tcf(c_7950,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,h)) = compose(X0,h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7949,c_64]) ).
tcf(c_7953,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),h) = compose(codomain(a),compose(X0,h)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7945,c_72]) ).
tcf(c_7966,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),h) = compose(domain(X1),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7940,c_62]) ).
tcf(c_7970,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),h) = compose(domain(X1),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_7939,c_95]) ).
tcf(c_7980,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),h) = compose(domain(X0),compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_7935,c_383]) ).
tcf(c_8080,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),g) = compose(domain(X0),compose(compose(a,b),g)) )
| ( domain(X0) != domain(a) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4553]) ).
tcf(c_8084,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),g) = compose(domain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != domain(X1) )
| ( codomain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4553]) ).
tcf(c_8085,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)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_4553]) ).
tcf(c_8090,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),g) = compose(domain(g),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4553]) ).
tcf(c_8091,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) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4553]) ).
tcf(c_8094,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),g) = compose(domain(X0),compose(X0,g)) )
| ( codomain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_4553]) ).
tcf(c_8095,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,g)) = compose(X0,g) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8094,c_64]) ).
tcf(c_8098,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),g) = compose(codomain(a),compose(X0,g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8090,c_72]) ).
tcf(c_8111,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),g) = compose(domain(X1),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_8085,c_62]) ).
tcf(c_8115,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),g) = compose(domain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_8084,c_95]) ).
tcf(c_8125,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),g) = compose(domain(X0),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8080,c_383]) ).
tcf(c_8190,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_62,c_6438]) ).
tcf(c_8191,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_6438]) ).
tcf(c_8192,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_525,c_6438]) ).
tcf(c_8193,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(a)),X0) = compose(compose(a,h),compose(codomain(a),X0)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_6438]) ).
tcf(c_8194,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_383,c_6438]) ).
tcf(c_8195,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_6438]) ).
tcf(c_8229,plain,
( ( compose(compose(codomain(compose(a,b)),h),b) = compose(codomain(compose(a,b)),compose(h,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_6525]) ).
tcf(c_8236,plain,
( ( compose(compose(codomain(b),h),b) = compose(codomain(b),compose(h,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8229,c_383]) ).
tcf(c_8274,plain,
( ( compose(domain(compose(a,h)),compose(compose(a,h),h)) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_7950]) ).
tcf(c_8275,plain,
( ( compose(domain(compose(a,b)),compose(compose(a,b),h)) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_7950]) ).
tcf(c_8280,plain,
( ( compose(domain(a),compose(compose(a,b),h)) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8275,c_248]) ).
tcf(c_8283,plain,
( ( compose(domain(a),compose(compose(a,h),h)) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8274,c_287]) ).
tcf(c_8293,plain,
( ( compose(domain(compose(a,h)),compose(compose(a,h),g)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_8095]) ).
tcf(c_8294,plain,
( ( compose(domain(compose(a,b)),compose(compose(a,b),g)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_8095]) ).
tcf(c_8300,plain,
( ( compose(domain(a),compose(compose(a,b),g)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8294,c_248]) ).
tcf(c_8303,plain,
( ( compose(domain(a),compose(compose(a,h),g)) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8293,c_287]) ).
tcf(c_8316,plain,
( ( compose(codomain(a),compose(b,domain(compose(a,h)))) = compose(b,domain(compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7755]) ).
tcf(c_8324,plain,
( ( compose(codomain(a),compose(b,domain(a))) = compose(b,domain(a)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8316,c_287]) ).
tcf(c_8336,plain,
! [X0: $i] :
( ( compose(a,compose(codomain(a),X0)) = compose(a,X0) )
| ( domain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_8195,c_65]) ).
tcf(c_8347,plain,
! [X0: $i] :
( ( compose(a,compose(codomain(a),codomain(X0))) = compose(a,codomain(X0)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_8336]) ).
tcf(c_8348,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_8336]) ).
tcf(c_8432,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(compose(a,b))),X0) = compose(compose(a,h),compose(codomain(compose(a,b)),X0)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_2383]) ).
tcf(c_8442,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(b)),X0) = compose(compose(a,h),compose(codomain(b),X0)) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8432,c_383]) ).
tcf(c_8459,plain,
( ( compose(compose(codomain(compose(a,b)),h),h) = compose(codomain(compose(a,b)),compose(h,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_6676]) ).
tcf(c_8466,plain,
( ( compose(compose(codomain(b),h),h) = compose(codomain(b),compose(h,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8459,c_383]) ).
tcf(c_8480,plain,
( ( compose(compose(codomain(compose(a,b)),h),g) = compose(codomain(compose(a,b)),compose(h,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_6703]) ).
tcf(c_8487,plain,
( ( compose(compose(codomain(b),h),g) = compose(codomain(b),compose(h,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8480,c_383]) ).
tcf(c_8517,plain,
( ( compose(compose(codomain(compose(a,b)),g),b) = compose(codomain(compose(a,b)),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_6882]) ).
tcf(c_8524,plain,
( ( compose(compose(codomain(b),g),b) = compose(codomain(b),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8517,c_383]) ).
tcf(c_8570,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_62,c_4618]) ).
tcf(c_8572,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(compose(a,h))),X0) = compose(g,compose(codomain(compose(a,h)),X0)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_4618]) ).
tcf(c_8573,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_383,c_4618]) ).
tcf(c_8574,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(a,b)) = compose(g,compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_4618]) ).
tcf(c_8575,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_4618]) ).
tcf(c_8576,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),h) = compose(g,compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_4618]) ).
tcf(c_8577,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),g) = compose(g,compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4618]) ).
tcf(c_8578,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_63,c_4618]) ).
tcf(c_8579,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_4618]) ).
tcf(c_8580,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),compose(a,h)) = compose(g,compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_4618]) ).
tcf(c_8597,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_8570,c_62]) ).
tcf(c_8607,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_8573,c_383]) ).
tcf(c_8611,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(compose(a,h))),X0) = compose(g,compose(codomain(compose(a,h)),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(ground_joinability,[status(thm)],[c_8572,c_396]) ).
tcf(c_8612,plain,
! [X0: $i] :
( ( compose(g,compose(codomain(h),X0)) = compose(g,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8611,c_396,c_565]) ).
tcf(c_8679,plain,
( ( compose(g,compose(codomain(h),compose(a,b))) = compose(g,compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_8612]) ).
tcf(c_8685,plain,
( ( compose(g,compose(codomain(h),compose(a,h))) = compose(g,compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_8612]) ).
tcf(c_8726,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(compose(a,h))),X0) = compose(compose(a,h),compose(domain(compose(a,h)),X0)) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_2387]) ).
tcf(c_8734,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),X0) = compose(compose(a,h),compose(domain(X0),X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_2387]) ).
tcf(c_8735,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),X0) = compose(compose(a,h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8734,c_64]) ).
tcf(c_8743,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(a)),X0) = compose(compose(a,h),compose(domain(a),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8726,c_287]) ).
tcf(c_8788,plain,
( ( compose(compose(codomain(compose(a,b)),g),h) = compose(codomain(compose(a,b)),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_7150]) ).
tcf(c_8795,plain,
( ( compose(compose(codomain(b),g),h) = compose(codomain(b),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8788,c_383]) ).
tcf(c_8809,plain,
( ( compose(compose(codomain(compose(a,b)),g),g) = compose(codomain(compose(a,b)),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_7225]) ).
tcf(c_8816,plain,
( ( compose(compose(codomain(b),g),g) = compose(codomain(b),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8809,c_383]) ).
tcf(c_8830,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_63,c_7248]) ).
tcf(c_8832,plain,
( ( compose(compose(domain(compose(a,h)),b),b) = compose(domain(compose(a,h)),compose(b,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_7248]) ).
tcf(c_8837,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_8830,c_63]) ).
tcf(c_8841,plain,
( ( compose(compose(domain(a),b),b) = compose(domain(a),compose(b,b)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8832,c_287]) ).
tcf(c_8857,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),h) = compose(domain(codomain(X0)),compose(b,h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7249]) ).
tcf(c_8859,plain,
( ( compose(compose(domain(compose(a,h)),b),h) = compose(domain(compose(a,h)),compose(b,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_7249]) ).
tcf(c_8864,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),h) = compose(codomain(X0),compose(b,h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8857,c_63]) ).
tcf(c_8868,plain,
( ( compose(compose(domain(a),b),h) = compose(domain(a),compose(b,h)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_8859,c_287]) ).
tcf(c_8886,plain,
( ( compose(compose(compose(a,h),domain(compose(a,b))),compose(a,b)) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_8735]) ).
tcf(c_8887,plain,
( ( compose(compose(compose(a,h),domain(b)),b) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_8735]) ).
tcf(c_8888,plain,
( ( compose(compose(compose(a,h),domain(h)),h) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_8735]) ).
tcf(c_8889,plain,
( ( compose(compose(compose(a,h),domain(g)),g) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_8735]) ).
tcf(c_8892,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),compose(a,h)) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_8735]) ).
tcf(c_8893,plain,
( ( compose(compose(compose(a,h),codomain(a)),g) = compose(compose(a,h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8889,c_72]) ).
tcf(c_8896,plain,
( ( compose(compose(compose(a,h),codomain(a)),h) = compose(compose(a,h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8888,c_71]) ).
tcf(c_8899,plain,
( ( compose(compose(compose(a,h),codomain(a)),b) = compose(compose(a,h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_8887,c_70]) ).
tcf(c_8904,plain,
( ( compose(compose(compose(a,h),domain(a)),compose(a,h)) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8892,c_287]) ).
tcf(c_8907,plain,
( ( compose(compose(compose(a,h),domain(a)),compose(a,b)) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_8886,c_248]) ).
tcf(c_8976,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),compose(a,b)) = compose(X0,compose(codomain(h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_4628]) ).
tcf(c_8977,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),b) = compose(X0,compose(codomain(h),b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_70,c_4628]) ).
tcf(c_8978,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),h) = compose(X0,compose(codomain(h),h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_71,c_4628]) ).
tcf(c_8979,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),g) = compose(X0,compose(codomain(h),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_4628]) ).
tcf(c_8980,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,codomain(h)),codomain(X0)) = compose(X1,compose(codomain(h),codomain(X0))) )
| ( codomain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_4628]) ).
tcf(c_8981,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,codomain(h)),domain(X1)) = compose(X0,compose(codomain(h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_4628]) ).
tcf(c_8982,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),compose(a,h)) = compose(X0,compose(codomain(h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_4628]) ).
tcf(c_9047,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(a,b)) = compose(X0,compose(codomain(b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_4640]) ).
tcf(c_9048,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_4640]) ).
tcf(c_9049,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),h) = compose(X0,compose(codomain(b),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_4640]) ).
tcf(c_9050,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),g) = compose(X0,compose(codomain(b),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_4640]) ).
tcf(c_9051,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_63,c_4640]) ).
tcf(c_9052,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_4640]) ).
tcf(c_9053,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),compose(a,h)) = compose(X0,compose(codomain(b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_4640]) ).
tcf(c_9148,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_6455]) ).
tcf(c_9149,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(a)),X1) = compose(codomain(X0),compose(domain(a),X1)) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_6455]) ).
tcf(c_9151,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(a)),X0) = compose(compose(a,b),compose(domain(a),X0)) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_6455]) ).
tcf(c_9180,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_62,c_6487]) ).
tcf(c_9184,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_6487]) ).
tcf(c_9185,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_6487]) ).
tcf(c_9186,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),h) = compose(codomain(b),compose(X0,h)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_6487]) ).
tcf(c_9187,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),g) = compose(codomain(b),compose(X0,g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_6487]) ).
tcf(c_9188,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_63,c_6487]) ).
tcf(c_9189,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_6487]) ).
tcf(c_9190,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),compose(a,h)) = compose(codomain(b),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_6487]) ).
tcf(c_9210,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_9180,c_94]) ).
tcf(c_9362,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),g) = compose(domain(codomain(X0)),compose(b,g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7250]) ).
tcf(c_9364,plain,
( ( compose(compose(domain(compose(a,h)),b),g) = compose(domain(compose(a,h)),compose(b,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_7250]) ).
tcf(c_9369,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),g) = compose(codomain(X0),compose(b,g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_9362,c_63]) ).
tcf(c_9373,plain,
( ( compose(compose(domain(a),b),g) = compose(domain(a),compose(b,g)) )
| ( codomain(a) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_9364,c_287]) ).
tcf(c_9385,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_62,c_7600]) ).
tcf(c_9386,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_7600]) ).
tcf(c_9395,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_9386,c_63]) ).
tcf(c_9398,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_9385,c_94]) ).
tcf(c_9421,plain,
( ( compose(compose(codomain(a),domain(compose(a,h))),b) = compose(codomain(a),compose(domain(compose(a,h)),b)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_9398]) ).
tcf(c_9427,plain,
( ( compose(compose(codomain(a),domain(a)),b) = compose(codomain(a),compose(domain(a),b)) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_9421,c_287]) ).
tcf(c_9441,plain,
( ( compose(compose(codomain(a),codomain(g)),b) = compose(codomain(a),compose(codomain(g),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_9395]) ).
tcf(c_9443,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_383,c_9395]) ).
tcf(c_9446,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_9441,c_525]) ).
tcf(c_9451,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_9443,c_383]) ).
tcf(c_9473,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X0)),X1) = compose(codomain(h),compose(domain(X0),X1)) )
| ( domain(X0) != domain(X1) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_6491]) ).
tcf(c_9477,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_6491]) ).
tcf(c_9478,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),b) = compose(codomain(h),compose(X0,b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_6491]) ).
tcf(c_9479,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),h) = compose(codomain(h),compose(X0,h)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_6491]) ).
tcf(c_9480,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),g) = compose(codomain(h),compose(X0,g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_6491]) ).
tcf(c_9481,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),X0),codomain(X1)) = compose(codomain(h),compose(X0,codomain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_6491]) ).
tcf(c_9482,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),X0),domain(X1)) = compose(codomain(h),compose(X0,domain(X1))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_94,c_6491]) ).
tcf(c_9483,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),compose(a,h)) = compose(codomain(h),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_6491]) ).
tcf(c_9503,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_9473,c_94]) ).
tcf(c_10353,plain,
( ( compose(compose(g,b),domain(compose(a,h))) = compose(g,compose(b,domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_6752]) ).
tcf(c_10362,plain,
( ( compose(compose(g,b),domain(a)) = compose(g,compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10353,c_287]) ).
tcf(c_10398,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),h) = compose(codomain(a),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_7953]) ).
tcf(c_10399,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),h) = compose(codomain(a),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_7953]) ).
tcf(c_10408,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),h) = compose(codomain(a),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10399,c_63]) ).
tcf(c_10411,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),h) = compose(codomain(a),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10398,c_94]) ).
tcf(c_10466,plain,
( ( compose(compose(codomain(a),domain(compose(a,h))),h) = compose(codomain(a),compose(domain(compose(a,h)),h)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_10411]) ).
tcf(c_10472,plain,
( ( compose(compose(codomain(a),domain(a)),h) = compose(codomain(a),compose(domain(a),h)) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10466,c_287]) ).
tcf(c_10482,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),g) = compose(codomain(a),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_8098]) ).
tcf(c_10483,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),g) = compose(codomain(a),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_8098]) ).
tcf(c_10493,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),codomain(X0)),g) = compose(codomain(a),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10483,c_63]) ).
tcf(c_10496,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),g) = compose(codomain(a),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10482,c_94]) ).
tcf(c_10523,plain,
( ( compose(compose(codomain(a),codomain(g)),h) = compose(codomain(a),compose(codomain(g),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_10408]) ).
tcf(c_10525,plain,
( ( compose(compose(codomain(a),codomain(compose(a,b))),h) = compose(codomain(a),compose(codomain(compose(a,b)),h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_10408]) ).
tcf(c_10528,plain,
( ( compose(compose(codomain(a),codomain(h)),h) = compose(codomain(a),compose(codomain(h),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10523,c_525]) ).
tcf(c_10533,plain,
( ( compose(compose(codomain(a),codomain(b)),h) = compose(codomain(a),compose(codomain(b),h)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10525,c_383]) ).
tcf(c_10547,plain,
( ( compose(compose(codomain(a),codomain(g)),g) = compose(codomain(a),compose(codomain(g),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_10493]) ).
tcf(c_10549,plain,
( ( compose(compose(codomain(a),codomain(compose(a,b))),g) = compose(codomain(a),compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_10493]) ).
tcf(c_10552,plain,
( ( compose(compose(codomain(a),codomain(h)),g) = compose(codomain(a),compose(codomain(h),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10547,c_525]) ).
tcf(c_10557,plain,
( ( compose(compose(codomain(a),codomain(b)),g) = compose(codomain(a),compose(codomain(b),g)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10549,c_383]) ).
tcf(c_10571,plain,
( ( compose(compose(codomain(a),domain(compose(a,h))),g) = compose(codomain(a),compose(domain(compose(a,h)),g)) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_10496]) ).
tcf(c_10577,plain,
( ( compose(compose(codomain(a),domain(a)),g) = compose(codomain(a),compose(domain(a),g)) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10571,c_287]) ).
tcf(c_10611,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),compose(a,b)) = compose(domain(codomain(X0)),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2737]) ).
tcf(c_10613,plain,
( ( compose(compose(domain(compose(a,h)),h),compose(a,b)) = compose(domain(compose(a,h)),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_2737]) ).
tcf(c_10618,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),compose(a,b)) = compose(codomain(X0),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10611,c_63]) ).
tcf(c_10622,plain,
( ( compose(compose(domain(a),h),compose(a,b)) = compose(domain(a),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10613,c_287]) ).
tcf(c_10634,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_62,c_8575]) ).
tcf(c_10638,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_383,c_8575]) ).
tcf(c_10639,plain,
( ( compose(compose(g,codomain(a)),b) = compose(g,compose(codomain(a),b)) )
| ( codomain(a) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_8575]) ).
tcf(c_10640,plain,
( ( compose(compose(g,codomain(a)),b) = compose(g,b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10639,c_97]) ).
tcf(c_10646,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_10634,c_62]) ).
tcf(c_10650,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_10638,c_383]) ).
tcf(c_10690,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),h) = compose(g,compose(codomain(domain(X0)),h)) )
| ( domain(X0) != codomain(a) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_8576]) ).
tcf(c_10694,plain,
( ( compose(compose(g,codomain(compose(a,b))),h) = compose(g,compose(codomain(compose(a,b)),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_8576]) ).
tcf(c_10695,plain,
( ( compose(compose(g,codomain(a)),h) = compose(g,compose(codomain(a),h)) )
| ( codomain(a) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_8576]) ).
tcf(c_10696,plain,
( ( compose(compose(g,codomain(a)),h) = compose(g,h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10695,c_98]) ).
tcf(c_10702,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),h) = compose(g,compose(domain(X0),h)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10690,c_62]) ).
tcf(c_10706,plain,
( ( compose(compose(g,codomain(b)),h) = compose(g,compose(codomain(b),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10694,c_383]) ).
tcf(c_10728,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(domain(X0))),g) = compose(g,compose(codomain(domain(X0)),g)) )
| ( domain(X0) != codomain(a) )
| ( codomain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_8577]) ).
tcf(c_10732,plain,
( ( compose(compose(g,codomain(compose(a,b))),g) = compose(g,compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_8577]) ).
tcf(c_10733,plain,
( ( compose(compose(g,codomain(a)),g) = compose(g,compose(codomain(a),g)) )
| ( codomain(a) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_8577]) ).
tcf(c_10734,plain,
( ( compose(compose(g,codomain(a)),g) = compose(g,g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10733,c_99]) ).
tcf(c_10740,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),g) = compose(g,compose(domain(X0),g)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10728,c_62]) ).
tcf(c_10744,plain,
( ( compose(compose(g,codomain(b)),g) = compose(g,compose(codomain(b),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_10732,c_383]) ).
tcf(c_10792,plain,
! [X0: $i] :
( ( compose(compose(g,domain(compose(a,h))),X0) = compose(g,compose(domain(compose(a,h)),X0)) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_8597]) ).
tcf(c_10793,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(a,b)) = compose(g,compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_8597]) ).
tcf(c_10797,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_63,c_8597]) ).
tcf(c_10798,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_8597]) ).
tcf(c_10799,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),compose(a,h)) = compose(g,compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_8597]) ).
tcf(c_10800,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_8597]) ).
tcf(c_10801,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),X0) = compose(g,X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10800,c_64]) ).
tcf(c_10821,plain,
! [X0: $i] :
( ( compose(compose(g,domain(a)),X0) = compose(g,compose(domain(a),X0)) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10792,c_287]) ).
tcf(c_10879,plain,
( ( compose(compose(g,domain(compose(a,b))),compose(a,b)) = compose(g,compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_10801]) ).
tcf(c_10883,plain,
! [X0: $i] :
( ( compose(compose(g,domain(codomain(X0))),codomain(X0)) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_10801]) ).
tcf(c_10884,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_10801]) ).
tcf(c_10885,plain,
( ( compose(compose(g,domain(compose(a,h))),compose(a,h)) = compose(g,compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_10801]) ).
tcf(c_10889,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),domain(X0)) = compose(g,domain(X0)) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10884,c_94]) ).
tcf(c_10892,plain,
! [X0: $i] :
( ( compose(compose(g,codomain(X0)),codomain(X0)) = compose(g,codomain(X0)) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_10883,c_63]) ).
tcf(c_10895,plain,
( ( compose(compose(g,domain(a)),compose(a,h)) = compose(g,compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10885,c_287]) ).
tcf(c_10898,plain,
( ( compose(compose(g,domain(a)),compose(a,b)) = compose(g,compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10879,c_248]) ).
tcf(c_10913,plain,
( ( compose(compose(g,domain(compose(a,h))),domain(compose(a,h))) = compose(g,domain(compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_10889]) ).
tcf(c_10921,plain,
( ( compose(compose(g,domain(a)),domain(a)) = compose(g,domain(a)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_10913,c_287]) ).
tcf(c_11024,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),codomain(h)) = compose(domain(X0),compose(h,codomain(h))) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_2741]) ).
tcf(c_11045,plain,
( ( compose(compose(codomain(g),b),b) = compose(codomain(g),compose(b,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_525,c_8837]) ).
tcf(c_11047,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_383,c_8837]) ).
tcf(c_11050,plain,
( ( compose(compose(codomain(b),b),b) = compose(codomain(b),compose(b,b)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11047,c_383]) ).
tcf(c_11053,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_11045,c_525]) ).
tcf(c_11071,plain,
( ( compose(compose(codomain(g),b),h) = compose(codomain(g),compose(b,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_525,c_8864]) ).
tcf(c_11073,plain,
( ( compose(compose(codomain(compose(a,b)),b),h) = compose(codomain(compose(a,b)),compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_8864]) ).
tcf(c_11076,plain,
( ( compose(compose(codomain(b),b),h) = compose(codomain(b),compose(b,h)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11073,c_383]) ).
tcf(c_11079,plain,
( ( compose(compose(codomain(h),b),h) = compose(codomain(h),compose(b,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11071,c_525]) ).
tcf(c_11154,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),codomain(h)) = compose(domain(X0),h) )
| ( domain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_11024,c_65]) ).
tcf(c_11165,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),codomain(h)) = compose(domain(codomain(X0)),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_11154]) ).
tcf(c_11167,plain,
( ( compose(compose(domain(compose(a,h)),h),codomain(h)) = compose(domain(compose(a,h)),h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_11154]) ).
tcf(c_11172,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),codomain(h)) = compose(codomain(X0),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11165,c_63]) ).
tcf(c_11175,plain,
( ( compose(compose(domain(a),h),codomain(h)) = compose(domain(a),h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11167,c_287]) ).
tcf(c_11186,plain,
( ( compose(compose(codomain(g),h),codomain(h)) = compose(codomain(g),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_11172]) ).
tcf(c_11188,plain,
( ( compose(compose(codomain(compose(a,b)),h),codomain(h)) = compose(codomain(compose(a,b)),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_11172]) ).
tcf(c_11191,plain,
( ( compose(compose(codomain(h),h),codomain(h)) = compose(codomain(h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_11186,c_525]) ).
tcf(c_11196,plain,
( ( compose(compose(codomain(b),h),codomain(h)) = compose(codomain(b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11188,c_383]) ).
tcf(c_11250,plain,
( ( compose(compose(codomain(h),b),compose(a,b)) = compose(codomain(h),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_7724]) ).
tcf(c_11253,plain,
( ( compose(compose(codomain(h),b),g) = compose(codomain(h),compose(b,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_7724]) ).
tcf(c_11254,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),b),codomain(X0)) = compose(codomain(h),compose(b,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_7724]) ).
tcf(c_11255,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),b),domain(X0)) = compose(codomain(h),compose(b,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_7724]) ).
tcf(c_11256,plain,
( ( compose(compose(codomain(h),b),compose(a,h)) = compose(codomain(h),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_7724]) ).
tcf(c_11323,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),domain(compose(a,h))) = compose(domain(X0),compose(h,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_2742]) ).
tcf(c_11332,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),h),domain(a)) = compose(domain(X0),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11323,c_287]) ).
tcf(c_11395,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(superposition,[status(thm)],[c_63,c_8192]) ).
tcf(c_11396,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(superposition,[status(thm)],[c_94,c_8192]) ).
tcf(c_11515,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(superposition,[status(thm)],[c_63,c_8607]) ).
tcf(c_11516,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_8607]) ).
tcf(c_11612,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),compose(a,h)) = compose(domain(codomain(X0)),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_2743]) ).
tcf(c_11614,plain,
( ( compose(compose(domain(compose(a,h)),h),compose(a,h)) = compose(domain(compose(a,h)),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_2743]) ).
tcf(c_11619,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),compose(a,h)) = compose(codomain(X0),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11612,c_63]) ).
tcf(c_11623,plain,
( ( compose(compose(domain(a),h),compose(a,h)) = compose(domain(a),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11614,c_287]) ).
tcf(c_11635,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),b) = compose(codomain(b),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_9185]) ).
tcf(c_11648,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_11635,c_94]) ).
tcf(c_11695,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),h) = compose(codomain(b),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_9186]) ).
tcf(c_11708,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),h) = compose(codomain(b),compose(domain(X0),h)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11695,c_94]) ).
tcf(c_11744,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),g) = compose(codomain(b),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_9187]) ).
tcf(c_11758,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),g) = compose(codomain(b),compose(domain(X0),g)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11744,c_94]) ).
tcf(c_11813,plain,
( ( compose(compose(codomain(compose(a,b)),b),g) = compose(codomain(compose(a,b)),compose(b,g)) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_9369]) ).
tcf(c_11816,plain,
( ( compose(compose(codomain(b),b),g) = compose(codomain(b),compose(b,g)) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_11813,c_383]) ).
tcf(c_11851,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),b) = compose(codomain(h),compose(domain(X0),b)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_9478]) ).
tcf(c_11852,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),b) = compose(codomain(h),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9478]) ).
tcf(c_11860,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),b) = compose(codomain(h),compose(codomain(X0),b)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11852,c_63]) ).
tcf(c_11864,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_11851,c_94]) ).
tcf(c_11922,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),h) = compose(codomain(h),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_9479]) ).
tcf(c_11923,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),h) = compose(codomain(h),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9479]) ).
tcf(c_11931,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),h) = compose(codomain(h),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11923,c_63]) ).
tcf(c_11935,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),h) = compose(codomain(h),compose(domain(X0),h)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11922,c_94]) ).
tcf(c_11959,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),g) = compose(codomain(h),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_9480]) ).
tcf(c_11960,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),g) = compose(codomain(h),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9480]) ).
tcf(c_11969,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(X0)),g) = compose(codomain(h),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11960,c_63]) ).
tcf(c_11973,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),g) = compose(codomain(h),compose(domain(X0),g)) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_11959,c_94]) ).
tcf(c_12044,plain,
( ( compose(compose(g,domain(compose(a,h))),b) = compose(g,compose(domain(compose(a,h)),b)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_10646]) ).
tcf(c_12050,plain,
( ( compose(compose(g,domain(a)),b) = compose(g,compose(domain(a),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12044,c_287]) ).
tcf(c_12067,plain,
( ( compose(compose(g,domain(compose(a,h))),h) = compose(g,compose(domain(compose(a,h)),h)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_10702]) ).
tcf(c_12073,plain,
( ( compose(compose(g,domain(a)),h) = compose(g,compose(domain(a),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12067,c_287]) ).
tcf(c_12112,plain,
( ( compose(compose(g,domain(compose(a,h))),g) = compose(g,compose(domain(compose(a,h)),g)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_10740]) ).
tcf(c_12118,plain,
( ( compose(compose(g,domain(a)),g) = compose(g,compose(domain(a),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12112,c_287]) ).
tcf(c_12197,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,h)),X0) = compose(compose(a,b),compose(compose(a,h),X0)) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_414]) ).
tcf(c_12198,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),X0) = compose(compose(a,b),compose(compose(a,b),X0)) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_414]) ).
tcf(c_12199,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_414]) ).
tcf(c_12200,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_414]) ).
tcf(c_12201,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),h) = compose(compose(a,b),compose(X0,h)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_414]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),g) = compose(compose(a,b),compose(X0,g)) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_414]) ).
tcf(c_12203,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_63,c_414]) ).
tcf(c_12204,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_414]) ).
tcf(c_12205,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),X0),compose(a,h)) = compose(compose(a,b),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_414]) ).
tcf(c_12229,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),X0) = compose(compose(a,b),compose(compose(a,b),X0)) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12198,c_248]) ).
tcf(c_12233,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,h)),X0) = compose(compose(a,b),compose(compose(a,h),X0)) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12197,c_287]) ).
tcf(c_12306,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),codomain(h)) = compose(domain(X0),compose(g,codomain(h))) )
| ( domain(X0) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_3717]) ).
tcf(c_12307,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),codomain(h)) = compose(domain(X0),g) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12306,c_565]) ).
tcf(c_12340,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_62,c_4554]) ).
tcf(c_12341,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_4554]) ).
tcf(c_12344,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_383,c_4554]) ).
tcf(c_12350,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_4554]) ).
tcf(c_12351,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_12350,c_65]) ).
tcf(c_12365,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_12341,c_63]) ).
tcf(c_12369,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_12340,c_94]) ).
tcf(c_12378,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) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12344,c_248]) ).
tcf(c_12427,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(g),domain(X0)),X1) = compose(domain(g),compose(domain(X0),X1)) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_72,c_4576]) ).
tcf(c_12433,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_12427,c_72]) ).
tcf(c_12543,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),codomain(h)) = compose(domain(codomain(X0)),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_12307]) ).
tcf(c_12545,plain,
( ( compose(compose(domain(compose(a,h)),g),codomain(h)) = compose(domain(compose(a,h)),g) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_12307]) ).
tcf(c_12550,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),codomain(h)) = compose(codomain(X0),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12543,c_63]) ).
tcf(c_12553,plain,
( ( compose(compose(domain(a),g),codomain(h)) = compose(domain(a),g) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12545,c_287]) ).
tcf(c_12571,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(compose(a,b))) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_12351]) ).
tcf(c_12572,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_12351]) ).
tcf(c_12575,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_63,c_12351]) ).
tcf(c_12576,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_12351]) ).
tcf(c_12577,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),codomain(compose(a,h))) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_12351]) ).
tcf(c_12581,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),codomain(X0)) = compose(domain(g),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_12351]) ).
tcf(c_12582,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_63,c_12351]) ).
tcf(c_12587,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),codomain(X0)) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12581,c_72]) ).
tcf(c_12597,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_12582,c_63]) ).
tcf(c_12600,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_12576,c_62]) ).
tcf(c_12603,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_12575,c_95]) ).
tcf(c_12610,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),codomain(h)) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12577,c_396]) ).
tcf(c_12613,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(b)) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12571,c_383]) ).
tcf(c_12673,plain,
( ( compose(compose(codomain(g),g),codomain(h)) = compose(codomain(g),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_12550]) ).
tcf(c_12675,plain,
( ( compose(compose(codomain(compose(a,b)),g),codomain(h)) = compose(codomain(compose(a,b)),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12550]) ).
tcf(c_12678,plain,
( ( compose(compose(codomain(h),g),codomain(h)) = compose(codomain(h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12673,c_525]) ).
tcf(c_12683,plain,
( ( compose(compose(codomain(b),g),codomain(h)) = compose(codomain(b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12675,c_383]) ).
tcf(c_12711,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_63,c_12572]) ).
tcf(c_12713,plain,
( ( compose(compose(domain(compose(a,h)),b),codomain(b)) = compose(domain(compose(a,h)),b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_12572]) ).
tcf(c_12718,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),codomain(b)) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12711,c_63]) ).
tcf(c_12721,plain,
( ( compose(compose(domain(a),b),codomain(b)) = compose(domain(a),b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12713,c_287]) ).
tcf(c_12735,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_12587]) ).
tcf(c_12739,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_12735,c_62]) ).
tcf(c_12787,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_62,c_12597]) ).
tcf(c_12789,plain,
! [X0: $i] :
( ( compose(compose(codomain(compose(a,h)),X0),codomain(X0)) = compose(codomain(compose(a,h)),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_12597]) ).
tcf(c_12790,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_383,c_12597]) ).
tcf(c_12791,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(compose(a,b))) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_12597]) ).
tcf(c_12795,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_63,c_12597]) ).
tcf(c_12797,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),codomain(compose(a,h))) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_12597]) ).
tcf(c_12800,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_12787,c_62]) ).
tcf(c_12807,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),X0),codomain(X0)) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12790,c_383]) ).
tcf(c_12810,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),X0),codomain(X0)) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12789,c_396]) ).
tcf(c_12813,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),codomain(h)) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12797,c_396]) ).
tcf(c_12816,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),codomain(b)) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_12791,c_383]) ).
tcf(c_12870,plain,
( ( compose(compose(codomain(g),b),codomain(b)) = compose(codomain(g),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_12718]) ).
tcf(c_12872,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_383,c_12718]) ).
tcf(c_12874,plain,
( ( compose(compose(codomain(h),b),codomain(b)) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_12870,c_525]) ).
tcf(c_12879,plain,
( ( compose(compose(codomain(b),b),codomain(b)) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_12872,c_383]) ).
tcf(c_12930,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,h))),codomain(compose(a,h))) = compose(domain(X0),codomain(compose(a,h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_12603]) ).
tcf(c_12931,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_383,c_12603]) ).
tcf(c_12936,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_63,c_12603]) ).
tcf(c_12952,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_12931,c_383]) ).
tcf(c_12955,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_12930,c_396]) ).
tcf(c_13026,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_12795,c_95]) ).
tcf(c_13118,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_12807]) ).
tcf(c_13121,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_13118,c_62]) ).
tcf(c_13163,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_12810]) ).
tcf(c_13166,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_13163,c_62]) ).
tcf(c_13231,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),domain(g)) = compose(domain(X0),domain(g)) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_12600]) ).
tcf(c_13239,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_63,c_12600]) ).
tcf(c_13247,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_13231,c_72]) ).
tcf(c_13254,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_13239,c_63]) ).
tcf(c_13339,plain,
( ( compose(compose(compose(a,h),h),domain(g)) = compose(compose(a,h),compose(h,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_3300]) ).
tcf(c_13342,plain,
( ( compose(compose(compose(a,h),h),domain(compose(a,h))) = compose(compose(a,h),compose(h,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_3300]) ).
tcf(c_13343,plain,
( ( compose(compose(compose(a,h),h),codomain(a)) = compose(compose(a,h),compose(h,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13339,c_72]) ).
tcf(c_13350,plain,
( ( compose(compose(compose(a,h),h),domain(a)) = compose(compose(a,h),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13342,c_287]) ).
tcf(c_13400,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_62,c_13254]) ).
tcf(c_13415,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_13400,c_62]) ).
tcf(c_13616,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_12936,c_63]) ).
tcf(c_13691,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),compose(a,b)) = compose(domain(codomain(X0)),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3713]) ).
tcf(c_13693,plain,
( ( compose(compose(domain(compose(a,h)),g),compose(a,b)) = compose(domain(compose(a,h)),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3713]) ).
tcf(c_13698,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(a,b)) = compose(codomain(X0),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13691,c_63]) ).
tcf(c_13702,plain,
( ( compose(compose(domain(a),g),compose(a,b)) = compose(domain(a),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13693,c_287]) ).
tcf(c_13763,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),domain(compose(a,h))) = compose(domain(X0),compose(g,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3718]) ).
tcf(c_13772,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),g),domain(a)) = compose(domain(X0),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13763,c_287]) ).
tcf(c_13792,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),codomain(g)) = compose(domain(X0),compose(b,codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_525,c_7251]) ).
tcf(c_13799,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),codomain(h)) = compose(domain(X0),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13792,c_525]) ).
tcf(c_13814,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_7593,c_63]) ).
tcf(c_13824,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_62,c_13814]) ).
tcf(c_13825,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_13814]) ).
tcf(c_13828,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_383,c_13814]) ).
tcf(c_13829,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),b) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_13814]) ).
tcf(c_13833,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_13825,c_63]) ).
tcf(c_13837,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_13824,c_94]) ).
tcf(c_13841,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13828,c_248]) ).
tcf(c_13850,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),a),b) = compose(codomain(domain(X0)),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_13829]) ).
tcf(c_13855,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),b) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_13850,c_62]) ).
tcf(c_13902,plain,
( ( compose(compose(compose(a,h),b),compose(a,b)) = compose(compose(a,h),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_4344]) ).
tcf(c_13903,plain,
( ( compose(compose(compose(a,h),b),b) = compose(compose(a,h),compose(b,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_4344]) ).
tcf(c_13904,plain,
( ( compose(compose(compose(a,h),b),h) = compose(compose(a,h),compose(b,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_4344]) ).
tcf(c_13905,plain,
( ( compose(compose(compose(a,h),b),g) = compose(compose(a,h),compose(b,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_4344]) ).
tcf(c_13906,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),b),codomain(X0)) = compose(compose(a,h),compose(b,codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_4344]) ).
tcf(c_13907,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),b),domain(X0)) = compose(compose(a,h),compose(b,domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_4344]) ).
tcf(c_13908,plain,
( ( compose(compose(compose(a,h),b),compose(a,h)) = compose(compose(a,h),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_4344]) ).
tcf(c_13944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(X0)),domain(X2)) = compose(domain(X1),compose(domain(X0),domain(X2))) )
| ( domain(X0) != domain(X2) )
| ( domain(domain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_4555]) ).
tcf(c_13945,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) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_4555]) ).
tcf(c_13946,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),compose(a,h)),domain(X1)) = compose(domain(X0),compose(compose(a,h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_396,c_4555]) ).
tcf(c_13947,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_383,c_4555]) ).
tcf(c_13967,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_13945,c_63]) ).
tcf(c_13971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(X1),domain(X0)),domain(X2)) = compose(domain(X1),compose(domain(X0),domain(X2))) )
| ( domain(X0) != domain(X2) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_13944,c_94]) ).
tcf(c_13980,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) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_13947,c_248]) ).
tcf(c_13984,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),compose(a,h)),domain(X0)) = compose(domain(X1),compose(compose(a,h),domain(X0))) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_13946,c_287]) ).
tcf(c_14002,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(compose(a,h))),X0) = compose(domain(X1),compose(codomain(compose(a,h)),X0)) )
| ( domain(X1) != codomain(h) )
| ( codomain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_396,c_4572]) ).
tcf(c_14003,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(compose(a,b))),X0) = compose(domain(X1),compose(codomain(compose(a,b)),X0)) )
| ( domain(X1) != codomain(b) )
| ( codomain(compose(a,b)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_383,c_4572]) ).
tcf(c_14030,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(b)),X1) = compose(domain(X0),compose(codomain(b),X1)) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14003,c_383]) ).
tcf(c_14034,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_14002,c_396]) ).
tcf(c_14052,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),compose(a,h)) = compose(domain(codomain(X0)),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_3719]) ).
tcf(c_14054,plain,
( ( compose(compose(domain(compose(a,h)),g),compose(a,h)) = compose(domain(compose(a,h)),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_3719]) ).
tcf(c_14059,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),compose(a,h)) = compose(codomain(X0),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14052,c_63]) ).
tcf(c_14063,plain,
( ( compose(compose(domain(a),g),compose(a,h)) = compose(domain(a),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14054,c_287]) ).
tcf(c_14077,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,h))),b) = compose(domain(X0),compose(codomain(compose(a,h)),b)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_7617]) ).
tcf(c_14078,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_383,c_7617]) ).
tcf(c_14102,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_14078,c_383]) ).
tcf(c_14106,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_14077,c_396]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),h) = compose(codomain(X1),compose(X0,h)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_7946,c_63]) ).
tcf(c_14142,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),h) = compose(codomain(X1),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_14132]) ).
tcf(c_14143,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),h) = compose(codomain(X1),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_14132]) ).
tcf(c_14146,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),h) = compose(codomain(X0),compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_383,c_14132]) ).
tcf(c_14147,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),h) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_14132]) ).
tcf(c_14151,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),h) = compose(codomain(X1),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14143,c_63]) ).
tcf(c_14155,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),h) = compose(codomain(X0),compose(domain(X1),h)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14142,c_94]) ).
tcf(c_14159,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),h) = compose(codomain(X0),compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14146,c_248]) ).
tcf(c_14172,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,h))),h) = compose(domain(X0),compose(codomain(compose(a,h)),h)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_7970]) ).
tcf(c_14173,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,b))),h) = compose(domain(X0),compose(codomain(compose(a,b)),h)) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_7970]) ).
tcf(c_14197,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),h) = compose(domain(X0),compose(codomain(b),h)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14173,c_383]) ).
tcf(c_14201,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),h) = compose(domain(X0),compose(codomain(h),h)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14172,c_396]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),g) = compose(codomain(X1),compose(X0,g)) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != codomain(a) ) ),
inference(demodulation,[status(thm)],[c_8091,c_63]) ).
tcf(c_14219,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),g) = compose(codomain(X1),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_14209]) ).
tcf(c_14220,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),g) = compose(codomain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(X1) ) ),
inference(superposition,[status(thm)],[c_95,c_14209]) ).
tcf(c_14223,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),g) = compose(codomain(X0),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(X0) ) ),
inference(superposition,[status(thm)],[c_383,c_14209]) ).
tcf(c_14224,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),g) = compose(codomain(X0),compose(a,g)) )
| ( codomain(X0) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_14209]) ).
tcf(c_14225,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),a),g) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14224,c_73]) ).
tcf(c_14229,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),g) = compose(codomain(X1),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14220,c_63]) ).
tcf(c_14233,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),g) = compose(codomain(X0),compose(domain(X1),g)) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_14219,c_94]) ).
tcf(c_14237,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),g) = compose(codomain(X0),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14223,c_248]) ).
tcf(c_14285,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),a),h) = compose(codomain(domain(X0)),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_14147]) ).
tcf(c_14290,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),h) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14285,c_62]) ).
tcf(c_14300,plain,
! [X0: $i] :
( ( compose(compose(codomain(domain(X0)),a),g) = compose(codomain(domain(X0)),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_14225]) ).
tcf(c_14305,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),a),g) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14300,c_62]) ).
tcf(c_14359,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_525,c_4617]) ).
tcf(c_14361,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_383,c_4617]) ).
tcf(c_14370,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_14359,c_525]) ).
tcf(c_14384,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_14361,c_383]) ).
tcf(c_14442,plain,
( ( compose(compose(codomain(h),h),domain(g)) = compose(codomain(h),compose(h,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_6927]) ).
tcf(c_14445,plain,
( ( compose(compose(codomain(h),h),domain(compose(a,h))) = compose(codomain(h),compose(h,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_6927]) ).
tcf(c_14446,plain,
( ( compose(compose(codomain(h),h),codomain(a)) = compose(codomain(h),compose(h,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14442,c_72]) ).
tcf(c_14453,plain,
( ( compose(compose(codomain(h),h),domain(a)) = compose(codomain(h),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14445,c_287]) ).
tcf(c_14476,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(compose(a,h))),g) = compose(domain(X0),compose(codomain(compose(a,h)),g)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_8115]) ).
tcf(c_14477,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)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_8115]) ).
tcf(c_14501,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),g) = compose(domain(X0),compose(codomain(b),g)) )
| ( codomain(a) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14477,c_383]) ).
tcf(c_14505,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),g) = compose(domain(X0),compose(codomain(h),g)) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14476,c_396]) ).
tcf(c_14543,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(a)),X0) = compose(domain(compose(a,h)),compose(codomain(a),X0)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_8190]) ).
tcf(c_14551,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(a)),X0) = compose(domain(a),compose(codomain(a),X0)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14543,c_287]) ).
tcf(c_14571,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_525,c_8578]) ).
tcf(c_14576,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_14571,c_525]) ).
tcf(c_14605,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_62,c_14576]) ).
tcf(c_14615,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_14605,c_62]) ).
tcf(c_14632,plain,
( ( compose(compose(g,domain(compose(a,h))),codomain(h)) = compose(g,compose(domain(compose(a,h)),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_14615]) ).
tcf(c_14640,plain,
( ( compose(compose(g,domain(a)),codomain(h)) = compose(g,compose(domain(a),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14632,c_287]) ).
tcf(c_14682,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),domain(compose(a,h))) = compose(domain(X0),compose(b,domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7252]) ).
tcf(c_14691,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),b),domain(a)) = compose(domain(X0),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14682,c_287]) ).
tcf(c_14706,plain,
( ( compose(compose(codomain(h),g),domain(g)) = compose(codomain(h),compose(g,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_7430]) ).
tcf(c_14709,plain,
( ( compose(compose(codomain(h),g),domain(compose(a,h))) = compose(codomain(h),compose(g,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_7430]) ).
tcf(c_14710,plain,
( ( compose(compose(codomain(h),g),codomain(a)) = compose(codomain(h),compose(g,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14706,c_72]) ).
tcf(c_14717,plain,
( ( compose(compose(codomain(h),g),domain(a)) = compose(codomain(h),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14709,c_287]) ).
tcf(c_14744,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),b) = compose(domain(X0),compose(domain(g),b)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_7613]) ).
tcf(c_14747,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),b) = compose(domain(X0),compose(domain(compose(a,h)),b)) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7613]) ).
tcf(c_14760,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),b) = compose(domain(X0),compose(domain(g),b)) )
| ( domain(X0) != codomain(a) ) ),
inference(ground_joinability,[status(thm)],[c_14744,c_72]) ).
tcf(c_14761,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),b) = compose(domain(X0),b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14760,c_72,c_97]) ).
tcf(c_14779,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),b) = compose(domain(X0),compose(domain(a),b)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14747,c_287]) ).
tcf(c_14818,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_63,c_14761]) ).
tcf(c_14820,plain,
( ( compose(compose(domain(compose(a,h)),codomain(a)),b) = compose(domain(compose(a,h)),b) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_14761]) ).
tcf(c_14825,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),b) = compose(codomain(X0),b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14818,c_63]) ).
tcf(c_14828,plain,
( ( compose(compose(domain(a),codomain(a)),b) = compose(domain(a),b) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_14820,c_287]) ).
tcf(c_14843,plain,
( ( compose(compose(codomain(g),codomain(a)),b) = compose(codomain(g),b) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_14825]) ).
tcf(c_14845,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_383,c_14825]) ).
tcf(c_14848,plain,
( ( compose(compose(codomain(h),codomain(a)),b) = compose(codomain(h),b) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_14843,c_525]) ).
tcf(c_14853,plain,
( ( compose(compose(codomain(b),codomain(a)),b) = compose(codomain(b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_14845,c_383]) ).
tcf(c_14941,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),codomain(h)) = compose(X0,compose(codomain(h),codomain(h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_8980]) ).
tcf(c_14965,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_525,c_9051]) ).
tcf(c_14968,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_9051]) ).
tcf(c_14972,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_14965,c_525]) ).
tcf(c_15016,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_62,c_9188]) ).
tcf(c_15017,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_9188]) ).
tcf(c_15018,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_525,c_9188]) ).
tcf(c_15032,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),g),codomain(X0)) = compose(codomain(b),compose(g,codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15018,c_72]) ).
tcf(c_15042,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_15017,c_63]) ).
tcf(c_15046,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_15016,c_94]) ).
tcf(c_15142,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),codomain(h)) = compose(X0,codomain(h)) )
| ( codomain(X0) != codomain(h) ) ),
inference(demodulation,[status(thm)],[c_14941,c_100]) ).
tcf(c_15153,plain,
( ( compose(compose(compose(a,b),codomain(h)),codomain(h)) = compose(compose(a,b),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_15142]) ).
tcf(c_15157,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),codomain(b)) = compose(X0,codomain(b)) )
| ( codomain(X0) != codomain(b) ) ),
inference(demodulation,[status(thm)],[c_14968,c_100]) ).
tcf(c_15203,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),h) = compose(domain(X0),compose(domain(g),h)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_7966]) ).
tcf(c_15206,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),h) = compose(domain(X0),compose(domain(compose(a,h)),h)) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7966]) ).
tcf(c_15219,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),h) = compose(domain(X0),compose(domain(g),h)) )
| ( domain(X0) != codomain(a) ) ),
inference(ground_joinability,[status(thm)],[c_15203,c_72]) ).
tcf(c_15220,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),h) = compose(domain(X0),h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15219,c_72,c_98]) ).
tcf(c_15238,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),h) = compose(domain(X0),compose(domain(a),h)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15206,c_287]) ).
tcf(c_15254,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),h) = compose(domain(codomain(X0)),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_15220]) ).
tcf(c_15256,plain,
( ( compose(compose(domain(compose(a,h)),codomain(a)),h) = compose(domain(compose(a,h)),h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_15220]) ).
tcf(c_15261,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),h) = compose(codomain(X0),h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15254,c_63]) ).
tcf(c_15264,plain,
( ( compose(compose(domain(a),codomain(a)),h) = compose(domain(a),h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15256,c_287]) ).
tcf(c_15293,plain,
( ( compose(compose(compose(a,h),g),domain(g)) = compose(compose(a,h),compose(g,domain(g))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_72,c_4020]) ).
tcf(c_15296,plain,
( ( compose(compose(compose(a,h),g),domain(compose(a,h))) = compose(compose(a,h),compose(g,domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_4020]) ).
tcf(c_15297,plain,
( ( compose(compose(compose(a,h),g),codomain(a)) = compose(compose(a,h),compose(g,codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15293,c_72]) ).
tcf(c_15304,plain,
( ( compose(compose(compose(a,h),g),domain(a)) = compose(compose(a,h),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15296,c_287]) ).
tcf(c_15315,plain,
( ( compose(compose(codomain(g),codomain(a)),h) = compose(codomain(g),h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_15261]) ).
tcf(c_15317,plain,
( ( compose(compose(codomain(compose(a,b)),codomain(a)),h) = compose(codomain(compose(a,b)),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_15261]) ).
tcf(c_15320,plain,
( ( compose(compose(codomain(h),codomain(a)),h) = compose(codomain(h),h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15315,c_525]) ).
tcf(c_15325,plain,
( ( compose(compose(codomain(b),codomain(a)),h) = compose(codomain(b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15317,c_383]) ).
tcf(c_15365,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(g)),X0) = compose(codomain(b),compose(domain(g),X0)) )
| ( codomain(b) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_9210]) ).
tcf(c_15369,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(a,b)) = compose(codomain(b),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_9210]) ).
tcf(c_15374,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_9210]) ).
tcf(c_15375,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),compose(a,h)) = compose(codomain(b),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_9210]) ).
tcf(c_15376,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_9210]) ).
tcf(c_15377,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),X0) = compose(codomain(b),X0) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15376,c_64]) ).
tcf(c_15380,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_15365,c_72]) ).
tcf(c_15429,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(X1)) = compose(codomain(h),compose(domain(X0),codomain(X1))) )
| ( codomain(X1) != domain(X0) )
| ( domain(domain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_9481]) ).
tcf(c_15430,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),codomain(X0)),codomain(X1)) = compose(codomain(h),compose(codomain(X0),codomain(X1))) )
| ( codomain(X0) != codomain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9481]) ).
tcf(c_15452,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_15430,c_63]) ).
tcf(c_15456,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(light_normalisation,[status(thm)],[c_15429,c_94]) ).
tcf(c_15587,plain,
( ( compose(compose(codomain(b),domain(g)),g) = compose(codomain(b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_15377]) ).
tcf(c_15591,plain,
( ( compose(compose(codomain(b),codomain(a)),g) = compose(codomain(b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_15587,c_72]) ).
tcf(c_15654,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),g) = compose(domain(X0),compose(domain(g),g)) )
| ( codomain(a) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_8111]) ).
tcf(c_15657,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),g) = compose(domain(X0),compose(domain(compose(a,h)),g)) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_8111]) ).
tcf(c_15670,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),g) = compose(domain(X0),compose(domain(g),g)) )
| ( domain(X0) != codomain(a) ) ),
inference(ground_joinability,[status(thm)],[c_15654,c_72]) ).
tcf(c_15671,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),g) = compose(domain(X0),g) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15670,c_72,c_99]) ).
tcf(c_15689,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),g) = compose(domain(X0),compose(domain(a),g)) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15657,c_287]) ).
tcf(c_15724,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),g) = compose(domain(codomain(X0)),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_15671]) ).
tcf(c_15726,plain,
( ( compose(compose(domain(compose(a,h)),codomain(a)),g) = compose(domain(compose(a,h)),g) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_15671]) ).
tcf(c_15731,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),g) = compose(codomain(X0),g) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15724,c_63]) ).
tcf(c_15734,plain,
( ( compose(compose(domain(a),codomain(a)),g) = compose(domain(a),g) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15726,c_287]) ).
tcf(c_15765,plain,
( ( compose(compose(codomain(g),codomain(a)),g) = compose(codomain(g),g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_15731]) ).
tcf(c_15770,plain,
( ( compose(compose(codomain(h),codomain(a)),g) = compose(codomain(h),g) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15765,c_525]) ).
tcf(c_15855,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(g)),X0) = compose(codomain(h),compose(domain(g),X0)) )
| ( codomain(h) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_9503]) ).
tcf(c_15859,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(a,b)) = compose(codomain(h),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_9503]) ).
tcf(c_15864,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_9503]) ).
tcf(c_15865,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),compose(a,h)) = compose(codomain(h),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_9503]) ).
tcf(c_15866,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_9503]) ).
tcf(c_15867,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),X0) = compose(codomain(h),X0) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_15866,c_64]) ).
tcf(c_15870,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_15855,c_72]) ).
tcf(c_15915,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_62,c_10797]) ).
tcf(c_15918,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_383,c_10797]) ).
tcf(c_15925,plain,
! [X0: $i] :
( ( compose(compose(g,domain(compose(a,h))),codomain(X0)) = compose(g,compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_10797]) ).
tcf(c_15931,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_15915,c_62]) ).
tcf(c_15937,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_15918,c_383]) ).
tcf(c_15941,plain,
! [X0: $i] :
( ( compose(compose(g,domain(a)),codomain(X0)) = compose(g,compose(domain(a),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_15925,c_287]) ).
tcf(c_16069,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),domain(compose(a,h))) = compose(X0,compose(codomain(h),domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_8981]) ).
tcf(c_16080,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(h)),domain(a)) = compose(X0,compose(codomain(h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16069,c_287]) ).
tcf(c_16099,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),domain(compose(a,h))) = compose(X0,compose(codomain(b),domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_9052]) ).
tcf(c_16110,plain,
! [X0: $i] :
( ( compose(compose(X0,codomain(b)),domain(a)) = compose(X0,compose(codomain(b),domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16099,c_287]) ).
tcf(c_16207,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),codomain(X0)),domain(X1)) = compose(codomain(h),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != domain(X1) )
| ( domain(codomain(X0)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_95,c_9482]) ).
tcf(c_16229,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(h),codomain(X0)),domain(X1)) = compose(codomain(h),compose(codomain(X0),domain(X1))) )
| ( codomain(X0) != codomain(h) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_16207,c_63]) ).
tcf(c_16394,plain,
! [X0: $i] :
( ( compose(compose(g,domain(compose(a,h))),domain(X0)) = compose(g,compose(domain(compose(a,h)),domain(X0))) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_10798]) ).
tcf(c_16398,plain,
! [X0: $i] :
( ( compose(compose(g,domain(X0)),domain(g)) = compose(g,compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_10798]) ).
tcf(c_16404,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_16398,c_72]) ).
tcf(c_16424,plain,
! [X0: $i] :
( ( compose(compose(g,domain(a)),domain(X0)) = compose(g,compose(domain(a),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16394,c_287]) ).
tcf(c_16444,plain,
( ( compose(compose(codomain(h),b),domain(compose(a,h))) = compose(codomain(h),compose(b,domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_11255]) ).
tcf(c_16453,plain,
( ( compose(compose(codomain(h),b),domain(a)) = compose(codomain(h),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_16444,c_287]) ).
tcf(c_16468,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),h),domain(a)) = compose(domain(codomain(X0)),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_11332]) ).
tcf(c_16470,plain,
( ( compose(compose(domain(compose(a,h)),h),domain(a)) = compose(domain(compose(a,h)),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_11332]) ).
tcf(c_16475,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),h),domain(a)) = compose(codomain(X0),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16468,c_63]) ).
tcf(c_16479,plain,
( ( compose(compose(domain(a),h),domain(a)) = compose(domain(a),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16470,c_287]) ).
tcf(c_16621,plain,
( ( compose(compose(codomain(compose(a,h)),compose(a,h)),compose(a,b)) = compose(codomain(compose(a,h)),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_4267]) ).
tcf(c_16623,plain,
( ( compose(compose(codomain(h),compose(a,h)),compose(a,b)) = compose(codomain(h),compose(compose(a,h),compose(a,b))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16621,c_396]) ).
tcf(c_16787,plain,
( ( compose(compose(codomain(h),codomain(compose(a,b))),b) = compose(codomain(h),compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_11860]) ).
tcf(c_16796,plain,
( ( compose(compose(codomain(h),codomain(b)),b) = compose(codomain(h),compose(codomain(b),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16787,c_383]) ).
tcf(c_16830,plain,
( ( compose(compose(codomain(h),codomain(compose(a,b))),h) = compose(codomain(h),compose(codomain(compose(a,b)),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_11931]) ).
tcf(c_16839,plain,
( ( compose(compose(codomain(h),codomain(b)),h) = compose(codomain(h),compose(codomain(b),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16830,c_383]) ).
tcf(c_16856,plain,
( ( compose(compose(codomain(h),codomain(compose(a,b))),g) = compose(codomain(h),compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_11969]) ).
tcf(c_16865,plain,
( ( compose(compose(codomain(h),codomain(b)),g) = compose(codomain(h),compose(codomain(b),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16856,c_383]) ).
tcf(c_16878,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_62,c_12200]) ).
tcf(c_16879,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_12200]) ).
tcf(c_16880,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_525,c_12200]) ).
tcf(c_16882,plain,
( ( compose(compose(compose(a,b),compose(a,b)),b) = compose(compose(a,b),compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12200]) ).
tcf(c_16883,plain,
( ( compose(compose(compose(a,b),a),b) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_12200]) ).
tcf(c_16886,plain,
( ( compose(compose(compose(a,b),g),b) = compose(compose(a,b),compose(g,b)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16880,c_72]) ).
tcf(c_16890,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_16879,c_63]) ).
tcf(c_16894,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_16878,c_94]) ).
tcf(c_16898,plain,
( ( compose(compose(compose(a,b),compose(a,b)),b) = compose(compose(a,b),compose(compose(a,b),b)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16882,c_248]) ).
tcf(c_16925,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),h) = compose(compose(a,b),compose(domain(X0),h)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_12201]) ).
tcf(c_16926,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),h) = compose(compose(a,b),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_12201]) ).
tcf(c_16927,plain,
( ( compose(compose(compose(a,b),g),h) = compose(compose(a,b),compose(g,h)) )
| ( codomain(b) != domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_12201]) ).
tcf(c_16929,plain,
( ( compose(compose(compose(a,b),compose(a,b)),h) = compose(compose(a,b),compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12201]) ).
tcf(c_16930,plain,
( ( compose(compose(compose(a,b),a),h) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_12201]) ).
tcf(c_16933,plain,
( ( compose(compose(compose(a,b),g),h) = compose(compose(a,b),compose(g,h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16927,c_72]) ).
tcf(c_16937,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),h) = compose(compose(a,b),compose(codomain(X0),h)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16926,c_63]) ).
tcf(c_16941,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),h) = compose(compose(a,b),compose(domain(X0),h)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_16925,c_94]) ).
tcf(c_16945,plain,
( ( compose(compose(compose(a,b),compose(a,b)),h) = compose(compose(a,b),compose(compose(a,b),h)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_16929,c_248]) ).
tcf(c_17087,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),g) = compose(compose(a,b),compose(domain(X0),g)) )
| ( domain(X0) != codomain(a) )
| ( domain(domain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_12202]) ).
tcf(c_17088,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),g) = compose(compose(a,b),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(a) )
| ( domain(codomain(X0)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_95,c_12202]) ).
tcf(c_17089,plain,
( ( compose(compose(compose(a,b),g),g) = compose(compose(a,b),compose(g,g)) )
| ( codomain(b) != domain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_12202]) ).
tcf(c_17091,plain,
( ( compose(compose(compose(a,b),compose(a,b)),g) = compose(compose(a,b),compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12202]) ).
tcf(c_17092,plain,
( ( compose(compose(compose(a,b),a),g) = compose(compose(a,b),compose(a,g)) )
| ( codomain(b) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_12202]) ).
tcf(c_17093,plain,
( ( compose(compose(compose(a,b),a),g) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17092,c_73]) ).
tcf(c_17096,plain,
( ( compose(compose(compose(a,b),g),g) = compose(compose(a,b),compose(g,g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17089,c_72]) ).
tcf(c_17100,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),g) = compose(compose(a,b),compose(codomain(X0),g)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17088,c_63]) ).
tcf(c_17104,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),g) = compose(compose(a,b),compose(domain(X0),g)) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17087,c_94]) ).
tcf(c_17108,plain,
( ( compose(compose(compose(a,b),compose(a,b)),g) = compose(compose(a,b),compose(compose(a,b),g)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17091,c_248]) ).
tcf(c_17128,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(a,b)) = compose(codomain(a),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_12433]) ).
tcf(c_17132,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_63,c_12433]) ).
tcf(c_17133,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_12433]) ).
tcf(c_17134,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),compose(a,h)) = compose(codomain(a),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_12433]) ).
tcf(c_17135,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_12433]) ).
tcf(c_17136,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),X0) = compose(codomain(a),X0) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17135,c_64]) ).
tcf(c_17232,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),g),domain(a)) = compose(domain(codomain(X0)),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_13772]) ).
tcf(c_17234,plain,
( ( compose(compose(domain(compose(a,h)),g),domain(a)) = compose(domain(compose(a,h)),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_13772]) ).
tcf(c_17239,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),g),domain(a)) = compose(codomain(X0),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17232,c_63]) ).
tcf(c_17243,plain,
( ( compose(compose(domain(a),g),domain(a)) = compose(domain(a),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17234,c_287]) ).
tcf(c_17261,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_62,c_13837]) ).
tcf(c_17271,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),b) = compose(codomain(X0),compose(domain(compose(a,h)),b)) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_13837]) ).
tcf(c_17279,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_17261,c_62]) ).
tcf(c_17287,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),b) = compose(codomain(X0),compose(domain(a),b)) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17271,c_287]) ).
tcf(c_17320,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),codomain(h)) = compose(domain(codomain(X0)),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_13799]) ).
tcf(c_17322,plain,
( ( compose(compose(domain(compose(a,h)),b),codomain(h)) = compose(domain(compose(a,h)),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_13799]) ).
tcf(c_17327,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),codomain(h)) = compose(codomain(X0),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17320,c_63]) ).
tcf(c_17331,plain,
( ( compose(compose(domain(a),b),codomain(h)) = compose(domain(a),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17322,c_287]) ).
tcf(c_17345,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),b) = compose(codomain(X0),compose(codomain(g),b)) )
| ( codomain(a) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_13833]) ).
tcf(c_17347,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(a,b))),b) = compose(codomain(X0),compose(codomain(compose(a,b)),b)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_13833]) ).
tcf(c_17356,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_17345,c_525]) ).
tcf(c_17370,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(light_normalisation,[status(thm)],[c_17347,c_383]) ).
tcf(c_17383,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(a,b)) = compose(domain(X0),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_14030]) ).
tcf(c_17387,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_63,c_14030]) ).
tcf(c_17388,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(b)),domain(X0)) = compose(domain(X1),compose(codomain(b),domain(X0))) )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_14030]) ).
tcf(c_17389,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),compose(a,h)) = compose(domain(X0),compose(codomain(b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_14030]) ).
tcf(c_17412,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(a,b)) = compose(domain(X0),compose(codomain(h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_14034]) ).
tcf(c_17416,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(superposition,[status(thm)],[c_63,c_14034]) ).
tcf(c_17417,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(h)),domain(X0)) = compose(domain(X1),compose(codomain(h),domain(X0))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_94,c_14034]) ).
tcf(c_17418,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(h)),compose(a,h)) = compose(domain(X0),compose(codomain(h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_14034]) ).
tcf(c_17492,plain,
( ( compose(compose(domain(compose(a,h)),codomain(h)),b) = compose(domain(compose(a,h)),compose(codomain(h),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_14106]) ).
tcf(c_17498,plain,
( ( compose(compose(domain(a),codomain(h)),b) = compose(domain(a),compose(codomain(h),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17492,c_287]) ).
tcf(c_17511,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),h) = compose(codomain(X0),compose(codomain(g),h)) )
| ( codomain(a) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_14151]) ).
tcf(c_17513,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(compose(a,b))),h) = compose(codomain(X0),compose(codomain(compose(a,b)),h)) )
| ( codomain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_14151]) ).
tcf(c_17522,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),h) = compose(codomain(X0),compose(codomain(h),h)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17511,c_525]) ).
tcf(c_17536,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),h) = compose(codomain(X0),compose(codomain(b),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17513,c_383]) ).
tcf(c_17555,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),h) = compose(codomain(domain(X0)),compose(domain(X1),h)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_14155]) ).
tcf(c_17565,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),h) = compose(codomain(X0),compose(domain(compose(a,h)),h)) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_14155]) ).
tcf(c_17573,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),h) = compose(domain(X0),compose(domain(X1),h)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17555,c_62]) ).
tcf(c_17581,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),h) = compose(codomain(X0),compose(domain(a),h)) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17565,c_287]) ).
tcf(c_17596,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),g) = compose(codomain(domain(X0)),compose(domain(X1),g)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_14233]) ).
tcf(c_17606,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),g) = compose(codomain(X0),compose(domain(compose(a,h)),g)) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_14233]) ).
tcf(c_17614,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),g) = compose(domain(X0),compose(domain(X1),g)) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_17596,c_62]) ).
tcf(c_17622,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),g) = compose(codomain(X0),compose(domain(a),g)) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_17606,c_287]) ).
tcf(c_17702,plain,
( ( compose(compose(domain(compose(a,h)),codomain(h)),h) = compose(domain(compose(a,h)),compose(codomain(h),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_14201]) ).
tcf(c_17708,plain,
( ( compose(compose(domain(a),codomain(h)),h) = compose(domain(a),compose(codomain(h),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17702,c_287]) ).
tcf(c_17721,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(g)),g) = compose(codomain(X0),compose(codomain(g),g)) )
| ( codomain(a) != codomain(g) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_14229]) ).
tcf(c_17723,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)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_14229]) ).
tcf(c_17732,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),g) = compose(codomain(X0),compose(codomain(h),g)) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17721,c_525]) ).
tcf(c_17746,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),g) = compose(codomain(X0),compose(codomain(b),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_17723,c_383]) ).
tcf(c_17759,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(a,b)) = compose(codomain(X0),compose(codomain(h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_14370]) ).
tcf(c_17763,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(h)),codomain(X0)) = compose(codomain(X1),compose(codomain(h),codomain(X0))) )
| ( codomain(X1) != codomain(h) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_14370]) ).
tcf(c_17764,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(superposition,[status(thm)],[c_94,c_14370]) ).
tcf(c_17765,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),compose(a,h)) = compose(codomain(X0),compose(codomain(h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_14370]) ).
tcf(c_17863,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(a,b)) = compose(codomain(X0),compose(codomain(b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_14384]) ).
tcf(c_17867,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_63,c_14384]) ).
tcf(c_17868,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_14384]) ).
tcf(c_17869,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),compose(a,h)) = compose(codomain(X0),compose(codomain(b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_14384]) ).
tcf(c_17939,plain,
( ( compose(compose(domain(compose(a,h)),codomain(h)),g) = compose(domain(compose(a,h)),compose(codomain(h),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_14505]) ).
tcf(c_17945,plain,
( ( compose(compose(domain(a),codomain(h)),g) = compose(domain(a),compose(codomain(h),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_17939,c_287]) ).
tcf(c_17980,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_63,c_15380]) ).
tcf(c_17981,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_15380]) ).
tcf(c_18006,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(superposition,[status(thm)],[c_63,c_15870]) ).
tcf(c_18007,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(superposition,[status(thm)],[c_94,c_15870]) ).
tcf(c_18071,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),domain(a)) = compose(domain(codomain(X0)),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_14691]) ).
tcf(c_18073,plain,
( ( compose(compose(domain(compose(a,h)),b),domain(a)) = compose(domain(compose(a,h)),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_14691]) ).
tcf(c_18078,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),domain(a)) = compose(codomain(X0),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18071,c_63]) ).
tcf(c_18082,plain,
( ( compose(compose(domain(a),b),domain(a)) = compose(domain(a),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18073,c_287]) ).
tcf(c_18106,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(b)),codomain(h)) = compose(domain(X0),compose(codomain(b),codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_62,c_14972]) ).
tcf(c_18107,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(superposition,[status(thm)],[c_95,c_14972]) ).
tcf(c_18262,plain,
( ( compose(compose(codomain(compose(a,b)),h),domain(a)) = compose(codomain(compose(a,b)),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_16475]) ).
tcf(c_18268,plain,
( ( compose(compose(codomain(b),h),domain(a)) = compose(codomain(b),compose(h,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18262,c_383]) ).
tcf(c_18315,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(a,h)) = compose(domain(X0),compose(compose(a,b),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( codomain(compose(a,b)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4556]) ).
tcf(c_18319,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(a,h)) = compose(domain(X1),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(X1) )
| ( codomain(codomain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4556]) ).
tcf(c_18320,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(a,h)) = compose(domain(X1),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(X1) )
| ( codomain(domain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_4556]) ).
tcf(c_18325,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),compose(a,h)) = compose(domain(g),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4556]) ).
tcf(c_18326,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X1)),X0),compose(a,h)) = compose(domain(codomain(X1)),compose(X0,compose(a,h))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4556]) ).
tcf(c_18329,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(a,h)) = compose(domain(X0),compose(X0,compose(a,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_4556]) ).
tcf(c_18330,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(a,h))) = compose(X0,compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18329,c_64]) ).
tcf(c_18333,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),X0),compose(a,h)) = compose(codomain(a),compose(X0,compose(a,h))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18325,c_72]) ).
tcf(c_18346,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),compose(a,h)) = compose(domain(X1),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18320,c_62]) ).
tcf(c_18350,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),codomain(X0)),compose(a,h)) = compose(domain(X1),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18319,c_95]) ).
tcf(c_18360,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),compose(a,h)) = compose(domain(X0),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18315,c_383]) ).
tcf(c_18381,plain,
( ( compose(compose(codomain(compose(a,b)),g),domain(a)) = compose(codomain(compose(a,b)),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_17239]) ).
tcf(c_18387,plain,
( ( compose(compose(codomain(b),g),domain(a)) = compose(codomain(b),compose(g,domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18381,c_383]) ).
tcf(c_18422,plain,
( ( compose(compose(codomain(g),b),codomain(h)) = compose(codomain(g),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_17327]) ).
tcf(c_18424,plain,
( ( compose(compose(codomain(compose(a,b)),b),codomain(h)) = compose(codomain(compose(a,b)),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_17327]) ).
tcf(c_18427,plain,
( ( compose(compose(codomain(h),b),codomain(h)) = compose(codomain(h),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_18422,c_525]) ).
tcf(c_18433,plain,
( ( compose(compose(codomain(b),b),codomain(h)) = compose(codomain(b),compose(b,codomain(h))) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18424,c_383]) ).
tcf(c_18466,plain,
( ( compose(domain(compose(a,h)),compose(compose(a,h),compose(a,h))) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_18330]) ).
tcf(c_18467,plain,
( ( compose(domain(compose(a,b)),compose(compose(a,b),compose(a,h))) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_18330]) ).
tcf(c_18470,plain,
( ( compose(domain(a),compose(compose(a,b),compose(a,h))) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18467,c_248]) ).
tcf(c_18473,plain,
( ( compose(domain(a),compose(compose(a,h),compose(a,h))) = compose(compose(a,h),compose(a,h)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18466,c_287]) ).
tcf(c_18583,plain,
( ( compose(compose(codomain(compose(a,b)),b),domain(a)) = compose(codomain(compose(a,b)),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_18078]) ).
tcf(c_18589,plain,
( ( compose(compose(codomain(b),b),domain(a)) = compose(codomain(b),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_18583,c_383]) ).
tcf(c_18594,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_264,c_383]) ).
tcf(c_18604,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),compose(a,b)) = compose(X0,compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_18594]) ).
tcf(c_18605,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),b) = compose(X0,compose(compose(a,b),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_70,c_18594]) ).
tcf(c_18606,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),h) = compose(X0,compose(compose(a,b),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_71,c_18594]) ).
tcf(c_18607,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),g) = compose(X0,compose(compose(a,b),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_18594]) ).
tcf(c_18608,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X1,compose(a,b)),codomain(X0)) = compose(X1,compose(compose(a,b),codomain(X0))) )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_18594]) ).
tcf(c_18609,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,compose(a,b)),domain(X1)) = compose(X0,compose(compose(a,b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_18594]) ).
tcf(c_18610,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),compose(a,h)) = compose(X0,compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18594]) ).
tcf(c_18865,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),b) = compose(compose(a,h),compose(domain(compose(a,h)),b)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_6410]) ).
tcf(c_18871,plain,
( ( compose(compose(compose(a,h),domain(a)),b) = compose(compose(a,h),compose(domain(a),b)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18865,c_287]) ).
tcf(c_18888,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),h) = compose(compose(a,h),compose(domain(compose(a,h)),h)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_6648]) ).
tcf(c_18894,plain,
( ( compose(compose(compose(a,h),domain(a)),h) = compose(compose(a,h),compose(domain(a),h)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18888,c_287]) ).
tcf(c_18911,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),g) = compose(compose(a,h),compose(domain(compose(a,h)),g)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_6797]) ).
tcf(c_18917,plain,
( ( compose(compose(compose(a,h),domain(a)),g) = compose(compose(a,h),compose(domain(a),g)) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18911,c_287]) ).
tcf(c_18938,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) != domain(a) )
| ( codomain(compose(a,b)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_4550]) ).
tcf(c_18942,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) != domain(X1) )
| ( codomain(codomain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4550]) ).
tcf(c_18943,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)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_4550]) ).
tcf(c_18948,plain,
! [X0: $i] :
( ( compose(compose(domain(g),X0),compose(a,b)) = compose(domain(g),compose(X0,compose(a,b))) )
| ( domain(X0) != codomain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_4550]) ).
tcf(c_18949,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_4550]) ).
tcf(c_18952,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),X0),compose(a,b)) = compose(domain(X0),compose(X0,compose(a,b))) )
| ( codomain(X0) != domain(a) ) ),
inference(equality_resolution,[status(thm)],[c_4550]) ).
tcf(c_18953,plain,
! [X0: $i] :
( ( compose(domain(X0),compose(X0,compose(a,b))) = compose(X0,compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18952,c_64]) ).
tcf(c_18956,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18948,c_72]) ).
tcf(c_18969,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(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18943,c_62]) ).
tcf(c_18973,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) != domain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_18942,c_95]) ).
tcf(c_18983,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) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_18938,c_383]) ).
tcf(c_19000,plain,
( ( compose(domain(compose(a,h)),compose(compose(a,h),compose(a,b))) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_18953]) ).
tcf(c_19001,plain,
( ( compose(domain(compose(a,b)),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_18953]) ).
tcf(c_19004,plain,
( ( compose(domain(a),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19001,c_248]) ).
tcf(c_19007,plain,
( ( compose(domain(a),compose(compose(a,h),compose(a,b))) = compose(compose(a,h),compose(a,b)) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19000,c_287]) ).
tcf(c_19039,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(compose(a,h))),X0) = compose(compose(a,b),compose(codomain(compose(a,h)),X0)) )
| ( domain(X0) != codomain(h) )
| ( codomain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_4620]) ).
tcf(c_19041,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) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_4620]) ).
tcf(c_19045,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(superposition,[status(thm)],[c_63,c_4620]) ).
tcf(c_19046,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_4620]) ).
tcf(c_19047,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),compose(a,h)) = compose(compose(a,b),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_4620]) ).
tcf(c_19064,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(light_normalisation,[status(thm)],[c_19039,c_396]) ).
tcf(c_19093,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,h)),domain(a)) = compose(domain(X0),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_5919]) ).
tcf(c_19094,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),domain(a)) = compose(codomain(X0),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_5919]) ).
tcf(c_19095,plain,
( ( compose(compose(compose(a,h),compose(a,h)),domain(a)) = compose(compose(a,h),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_5919]) ).
tcf(c_19096,plain,
( ( compose(compose(compose(a,b),compose(a,h)),domain(a)) = compose(compose(a,b),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_5919]) ).
tcf(c_19184,plain,
( ( compose(compose(compose(a,h),codomain(compose(a,b))),b) = compose(compose(a,h),compose(codomain(compose(a,b)),b)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_6406]) ).
tcf(c_19191,plain,
( ( compose(compose(compose(a,h),codomain(b)),b) = compose(compose(a,h),compose(codomain(b),b)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19184,c_383]) ).
tcf(c_19231,plain,
( ( compose(compose(codomain(compose(a,b)),h),compose(a,b)) = compose(codomain(compose(a,b)),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_10618]) ).
tcf(c_19237,plain,
( ( compose(compose(codomain(b),h),compose(a,b)) = compose(codomain(b),compose(h,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19231,c_383]) ).
tcf(c_19252,plain,
( ( compose(compose(codomain(compose(a,b)),h),compose(a,h)) = compose(codomain(compose(a,b)),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_11619]) ).
tcf(c_19258,plain,
( ( compose(compose(codomain(b),h),compose(a,h)) = compose(codomain(b),compose(h,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19252,c_383]) ).
tcf(c_19289,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_62,c_12203]) ).
tcf(c_19291,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_525,c_12203]) ).
tcf(c_19293,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),codomain(X0)) = compose(compose(a,b),compose(compose(a,b),codomain(X0))) )
| ( codomain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12203]) ).
tcf(c_19299,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_12203]) ).
tcf(c_19300,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_19299,c_65]) ).
tcf(c_19307,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),g),codomain(X0)) = compose(compose(a,b),compose(g,codomain(X0))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_19291,c_72]) ).
tcf(c_19318,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_19289,c_94]) ).
tcf(c_19327,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) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19293,c_248]) ).
tcf(c_19437,plain,
( ( compose(compose(compose(a,b),compose(a,b)),codomain(compose(a,b))) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_19300]) ).
tcf(c_19438,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_19300]) ).
tcf(c_19439,plain,
( ( compose(compose(compose(a,b),h),codomain(h)) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_19300]) ).
tcf(c_19440,plain,
( ( compose(compose(compose(a,b),g),codomain(g)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_19300]) ).
tcf(c_19441,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_63,c_19300]) ).
tcf(c_19442,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_19300]) ).
tcf(c_19443,plain,
( ( compose(compose(compose(a,b),compose(a,h)),codomain(compose(a,h))) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_19300]) ).
tcf(c_19444,plain,
( ( compose(compose(compose(a,b),g),codomain(h)) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_19440,c_525]) ).
tcf(c_19451,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_19442,c_62]) ).
tcf(c_19454,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_19441,c_95]) ).
tcf(c_19457,plain,
( ( compose(compose(compose(a,b),compose(a,h)),codomain(h)) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19443,c_396]) ).
tcf(c_19460,plain,
( ( compose(compose(compose(a,b),compose(a,b)),codomain(b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19437,c_383]) ).
tcf(c_19611,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),domain(compose(a,h))) = compose(compose(a,b),domain(compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_19451]) ).
tcf(c_19619,plain,
( ( compose(compose(compose(a,b),domain(a)),domain(a)) = compose(compose(a,b),domain(a)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_19611,c_287]) ).
tcf(c_20013,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) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_248,c_6430]) ).
tcf(c_20018,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_6430]) ).
tcf(c_20019,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),compose(a,h)) = compose(compose(a,b),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_6430]) ).
tcf(c_20020,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_6430]) ).
tcf(c_20021,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_20020,c_64]) ).
tcf(c_20048,plain,
( ( compose(compose(compose(a,b),domain(compose(a,b))),compose(a,b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_20021]) ).
tcf(c_20049,plain,
( ( compose(compose(compose(a,b),domain(b)),b) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_70,c_20021]) ).
tcf(c_20050,plain,
( ( compose(compose(compose(a,b),domain(h)),h) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_71,c_20021]) ).
tcf(c_20051,plain,
( ( compose(compose(compose(a,b),domain(g)),g) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_72,c_20021]) ).
tcf(c_20054,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),compose(a,h)) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_20021]) ).
tcf(c_20055,plain,
( ( compose(compose(compose(a,b),codomain(a)),g) = compose(compose(a,b),g) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20051,c_72]) ).
tcf(c_20058,plain,
( ( compose(compose(compose(a,b),codomain(a)),h) = compose(compose(a,b),h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20050,c_71]) ).
tcf(c_20061,plain,
( ( compose(compose(compose(a,b),codomain(a)),b) = compose(compose(a,b),b) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20049,c_70]) ).
tcf(c_20066,plain,
( ( compose(compose(compose(a,b),domain(a)),compose(a,h)) = compose(compose(a,b),compose(a,h)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20054,c_287]) ).
tcf(c_20069,plain,
( ( compose(compose(compose(a,b),domain(a)),compose(a,b)) = compose(compose(a,b),compose(a,b)) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20048,c_248]) ).
tcf(c_20158,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_62,c_12369]) ).
tcf(c_20160,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),codomain(compose(a,h))) = compose(domain(X1),compose(domain(X0),codomain(compose(a,h)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_396,c_12369]) ).
tcf(c_20161,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_383,c_12369]) ).
tcf(c_20165,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) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_12369]) ).
tcf(c_20168,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),codomain(X1)) = compose(domain(X0),compose(domain(compose(a,h)),codomain(X1))) )
| ( codomain(X1) != domain(a) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_12369]) ).
tcf(c_20169,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_20165,c_72]) ).
tcf(c_20176,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_20158,c_62]) ).
tcf(c_20182,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_20161,c_383]) ).
tcf(c_20186,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_20160,c_396]) ).
tcf(c_20190,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20168,c_287]) ).
tcf(c_20217,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,h)),domain(X1)) = compose(codomain(X0),compose(compose(a,h),domain(X1))) )
| ( domain(X1) != codomain(h) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_6495]) ).
tcf(c_20232,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) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_248,c_6499]) ).
tcf(c_20236,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),compose(a,b)),codomain(X0)) = compose(codomain(X1),compose(compose(a,b),codomain(X0))) )
| ( codomain(X1) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_6499]) ).
tcf(c_20237,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),domain(X1)) = compose(codomain(X0),compose(compose(a,b),domain(X1))) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_6499]) ).
tcf(c_20238,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),compose(a,h)) = compose(codomain(X0),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_6499]) ).
tcf(c_20265,plain,
( ( compose(compose(compose(a,h),codomain(compose(a,b))),h) = compose(compose(a,h),compose(codomain(compose(a,b)),h)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_6644]) ).
tcf(c_20272,plain,
( ( compose(compose(compose(a,h),codomain(b)),h) = compose(compose(a,h),compose(codomain(b),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20265,c_383]) ).
tcf(c_20288,plain,
( ( compose(compose(compose(a,h),codomain(compose(a,b))),g) = compose(compose(a,h),compose(codomain(compose(a,b)),g)) )
| ( codomain(a) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_6793]) ).
tcf(c_20295,plain,
( ( compose(compose(compose(a,h),codomain(b)),g) = compose(compose(a,h),compose(codomain(b),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20288,c_383]) ).
tcf(c_20357,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(a,b)) = compose(domain(codomain(X0)),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7247]) ).
tcf(c_20359,plain,
( ( compose(compose(domain(compose(a,h)),b),compose(a,b)) = compose(domain(compose(a,h)),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7247]) ).
tcf(c_20364,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(a,b)) = compose(codomain(X0),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20357,c_63]) ).
tcf(c_20368,plain,
( ( compose(compose(domain(a),b),compose(a,b)) = compose(domain(a),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20359,c_287]) ).
tcf(c_20384,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),b),compose(a,h)) = compose(domain(codomain(X0)),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_7253]) ).
tcf(c_20386,plain,
( ( compose(compose(domain(compose(a,h)),b),compose(a,h)) = compose(domain(compose(a,h)),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_7253]) ).
tcf(c_20391,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),b),compose(a,h)) = compose(codomain(X0),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20384,c_63]) ).
tcf(c_20395,plain,
( ( compose(compose(domain(a),b),compose(a,h)) = compose(domain(a),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20386,c_287]) ).
tcf(c_20417,plain,
( ( compose(compose(codomain(compose(a,b)),g),compose(a,b)) = compose(codomain(compose(a,b)),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_13698]) ).
tcf(c_20423,plain,
( ( compose(compose(codomain(b),g),compose(a,b)) = compose(codomain(b),compose(g,compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20417,c_383]) ).
tcf(c_20464,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(g)),domain(X1)) = compose(domain(X0),compose(domain(g),domain(X1))) )
| ( domain(X1) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_13971]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(compose(a,h))),domain(X0)) = compose(domain(X1),compose(domain(compose(a,h)),domain(X0))) )
| ( domain(X1) != domain(a) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_13971]) ).
tcf(c_20472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(domain(codomain(X0)),domain(X1)),domain(X2)) = compose(domain(codomain(X0)),compose(domain(X1),domain(X2))) )
| ( domain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_13971]) ).
tcf(c_20480,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),codomain(a)),domain(X1)) = compose(domain(X0),compose(codomain(a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20464,c_72]) ).
tcf(c_20489,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_20472,c_63]) ).
tcf(c_20506,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(a)),domain(X1)) = compose(domain(X0),compose(domain(a),domain(X1))) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20467,c_287]) ).
tcf(c_20554,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(a)),codomain(X0)) = compose(compose(a,h),compose(codomain(a),codomain(X0))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_8193]) ).
tcf(c_20555,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(a)),domain(X0)) = compose(compose(a,h),compose(codomain(a),domain(X0))) )
| ( codomain(a) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_8193]) ).
tcf(c_20580,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(superposition,[status(thm)],[c_63,c_8194]) ).
tcf(c_20581,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_8194]) ).
tcf(c_20609,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(b)),codomain(X0)) = compose(compose(a,h),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != codomain(h) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_63,c_8442]) ).
tcf(c_20610,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(b)),domain(X0)) = compose(compose(a,h),compose(codomain(b),domain(X0))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_94,c_8442]) ).
tcf(c_20705,plain,
( ( compose(compose(codomain(compose(a,b)),g),compose(a,h)) = compose(codomain(compose(a,b)),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_14059]) ).
tcf(c_20711,plain,
( ( compose(compose(codomain(b),g),compose(a,h)) = compose(codomain(b),compose(g,compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_20705,c_383]) ).
tcf(c_20757,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,b)) = compose(codomain(b),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_9184]) ).
tcf(c_20763,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,b)) = compose(codomain(b),compose(compose(a,b),compose(a,b))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20757,c_248]) ).
tcf(c_20780,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,h)) = compose(codomain(b),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_9190]) ).
tcf(c_20786,plain,
( ( compose(compose(codomain(b),compose(a,b)),compose(a,h)) = compose(codomain(b),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20780,c_248]) ).
tcf(c_20856,plain,
( ( compose(compose(codomain(h),compose(a,h)),compose(a,h)) = compose(codomain(h),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_9483]) ).
tcf(c_20867,plain,
( ( compose(compose(codomain(h),compose(a,h)),compose(a,h)) = compose(codomain(h),compose(compose(a,h),compose(a,h))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20856,c_287]) ).
tcf(c_20939,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_62,c_15046]) ).
tcf(c_20941,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),codomain(compose(a,h))) = compose(codomain(b),compose(domain(X0),codomain(compose(a,h)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_15046]) ).
tcf(c_20942,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_383,c_15046]) ).
tcf(c_20949,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(compose(a,h))),codomain(X0)) = compose(codomain(b),compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_15046]) ).
tcf(c_20950,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_20942,c_383]) ).
tcf(c_20957,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_20939,c_62]) ).
tcf(c_20963,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_20941,c_396]) ).
tcf(c_20967,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20949,c_287]) ).
tcf(c_20984,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_63,c_20950]) ).
tcf(c_20986,plain,
( ( compose(compose(codomain(b),domain(compose(a,h))),codomain(b)) = compose(codomain(b),compose(domain(compose(a,h)),codomain(b))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_20950]) ).
tcf(c_20993,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_20984,c_63]) ).
tcf(c_20996,plain,
( ( compose(compose(codomain(b),domain(a)),codomain(b)) = compose(codomain(b),compose(domain(a),codomain(b))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_20986,c_287]) ).
tcf(c_21007,plain,
( ( compose(compose(codomain(b),codomain(g)),codomain(b)) = compose(codomain(b),compose(codomain(g),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_20993]) ).
tcf(c_21012,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_21007,c_525]) ).
tcf(c_21072,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_62,c_15456]) ).
tcf(c_21074,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),codomain(compose(a,h))) = compose(codomain(h),compose(domain(X0),codomain(compose(a,h)))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_396,c_15456]) ).
tcf(c_21075,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_383,c_15456]) ).
tcf(c_21082,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(compose(a,h))),codomain(X0)) = compose(codomain(h),compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_15456]) ).
tcf(c_21083,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_21074,c_396]) ).
tcf(c_21090,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_21072,c_62]) ).
tcf(c_21096,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_21075,c_383]) ).
tcf(c_21100,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(a)),codomain(X0)) = compose(codomain(h),compose(domain(a),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21082,c_287]) ).
tcf(c_21119,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(codomain(X0))),codomain(h)) = compose(codomain(h),compose(domain(codomain(X0)),codomain(h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_63,c_21083]) ).
tcf(c_21121,plain,
( ( compose(compose(codomain(h),domain(compose(a,h))),codomain(h)) = compose(codomain(h),compose(domain(compose(a,h)),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_21083]) ).
tcf(c_21128,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_21119,c_63]) ).
tcf(c_21131,plain,
( ( compose(compose(codomain(h),domain(a)),codomain(h)) = compose(codomain(h),compose(domain(a),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21121,c_287]) ).
tcf(c_21199,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),b) = compose(compose(a,b),compose(domain(compose(a,h)),b)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_16894]) ).
tcf(c_21205,plain,
( ( compose(compose(compose(a,b),domain(a)),b) = compose(compose(a,b),compose(domain(a),b)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21199,c_287]) ).
tcf(c_21222,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),h) = compose(compose(a,b),compose(domain(compose(a,h)),h)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_16941]) ).
tcf(c_21228,plain,
( ( compose(compose(compose(a,b),domain(a)),h) = compose(compose(a,b),compose(domain(a),h)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21222,c_287]) ).
tcf(c_21245,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),g) = compose(compose(a,b),compose(domain(compose(a,h)),g)) )
| ( codomain(a) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_17104]) ).
tcf(c_21251,plain,
( ( compose(compose(compose(a,b),domain(a)),g) = compose(compose(a,b),compose(domain(a),g)) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21245,c_287]) ).
tcf(c_21262,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_62,c_17132]) ).
tcf(c_21264,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),codomain(compose(a,h))) = compose(codomain(a),compose(domain(X0),codomain(compose(a,h)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_17132]) ).
tcf(c_21265,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_383,c_17132]) ).
tcf(c_21270,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_63,c_17132]) ).
tcf(c_21272,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(compose(a,h))),codomain(X0)) = compose(codomain(a),compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_17132]) ).
tcf(c_21282,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_21262,c_62]) ).
tcf(c_21287,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_21270,c_63]) ).
tcf(c_21291,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_21265,c_383]) ).
tcf(c_21295,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_21264,c_396]) ).
tcf(c_21299,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_21272,c_287]) ).
tcf(c_21335,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,h)),domain(X0)) = compose(compose(a,b),compose(compose(a,h),domain(X0))) )
| ( domain(X0) != codomain(h) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_12204]) ).
tcf(c_21336,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,b)),domain(X0)) = compose(compose(a,b),compose(compose(a,b),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12204]) ).
tcf(c_21363,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) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_21336,c_248]) ).
tcf(c_21367,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),compose(a,h)),domain(X0)) = compose(compose(a,b),compose(compose(a,h),domain(X0))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21335,c_287]) ).
tcf(c_21549,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(b)),codomain(X0)) = compose(domain(compose(a,h)),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_17387]) ).
tcf(c_21563,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(b)),codomain(X0)) = compose(domain(a),compose(codomain(b),codomain(X0))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_21549,c_287]) ).
tcf(c_21582,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(h)),codomain(X0)) = compose(domain(compose(a,h)),compose(codomain(h),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_17416]) ).
tcf(c_21596,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(h)),codomain(X0)) = compose(domain(a),compose(codomain(h),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21582,c_287]) ).
tcf(c_21636,plain,
( ( compose(compose(compose(a,h),b),domain(compose(a,h))) = compose(compose(a,h),compose(b,domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_13907]) ).
tcf(c_21645,plain,
( ( compose(compose(compose(a,h),b),domain(a)) = compose(compose(a,h),compose(b,domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_21636,c_287]) ).
tcf(c_22033,plain,
! [X0: $i] :
( ( compose(compose(codomain(b),domain(X0)),domain(g)) = compose(codomain(b),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_15374]) ).
tcf(c_22039,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_22033,c_72]) ).
tcf(c_22131,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_383,c_15452]) ).
tcf(c_22157,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_22131,c_383]) ).
tcf(c_22185,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),domain(X0)),domain(g)) = compose(codomain(h),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_15864]) ).
tcf(c_22191,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_22185,c_72]) ).
tcf(c_22266,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_525,c_20169]) ).
tcf(c_22268,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_383,c_20169]) ).
tcf(c_22272,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_22266,c_525]) ).
tcf(c_22281,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_22268,c_383]) ).
tcf(c_22331,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X1),domain(X0)),domain(g)) = compose(domain(X1),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_72,c_20176]) ).
tcf(c_22347,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_22331,c_72]) ).
tcf(c_22378,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(a,b)) = compose(codomain(compose(a,b)),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_20364]) ).
tcf(c_22383,plain,
( ( compose(compose(codomain(b),b),compose(a,b)) = compose(codomain(b),compose(b,compose(a,b))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22378,c_383]) ).
tcf(c_22479,plain,
! [X0: $i] :
( ( compose(compose(codomain(h),codomain(compose(a,b))),domain(X0)) = compose(codomain(h),compose(codomain(compose(a,b)),domain(X0))) )
| ( domain(X0) != codomain(b) )
| ( codomain(compose(a,b)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_383,c_16229]) ).
tcf(c_22506,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_22479,c_383]) ).
tcf(c_22528,plain,
( ( compose(compose(compose(a,b),codomain(g)),b) = compose(compose(a,b),compose(codomain(g),b)) )
| ( codomain(b) != codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_16890]) ).
tcf(c_22532,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_22528,c_525]) ).
tcf(c_22549,plain,
( ( compose(compose(compose(a,b),codomain(g)),h) = compose(compose(a,b),compose(codomain(g),h)) )
| ( codomain(b) != codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_16937]) ).
tcf(c_22553,plain,
( ( compose(compose(compose(a,b),codomain(h)),h) = compose(compose(a,b),compose(codomain(h),h)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22549,c_525]) ).
tcf(c_22570,plain,
( ( compose(compose(compose(a,b),codomain(g)),g) = compose(compose(a,b),compose(codomain(g),g)) )
| ( codomain(b) != codomain(g) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_17100]) ).
tcf(c_22574,plain,
( ( compose(compose(compose(a,b),codomain(h)),g) = compose(compose(a,b),compose(codomain(h),g)) )
| ( codomain(b) != codomain(h) )
| ( codomain(a) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22570,c_525]) ).
tcf(c_22599,plain,
! [X0: $i] :
( ( compose(compose(codomain(a),domain(X0)),domain(g)) = compose(codomain(a),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_17133]) ).
tcf(c_22605,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_22599,c_72]) ).
tcf(c_22660,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_63,c_22605]) ).
tcf(c_22662,plain,
( ( compose(compose(codomain(a),domain(compose(a,h))),codomain(a)) = compose(codomain(a),compose(domain(compose(a,h)),codomain(a))) )
| ( codomain(a) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_22605]) ).
tcf(c_22667,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_22660,c_63]) ).
tcf(c_22670,plain,
( ( compose(compose(codomain(a),domain(a)),codomain(a)) = compose(codomain(a),compose(domain(a),codomain(a))) )
| ( codomain(a) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_22662,c_287]) ).
tcf(c_22696,plain,
( ( compose(compose(codomain(a),codomain(g)),codomain(a)) = compose(codomain(a),compose(codomain(g),codomain(a))) )
| ( codomain(a) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_22667]) ).
tcf(c_22698,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_383,c_22667]) ).
tcf(c_22700,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_22696,c_525]) ).
tcf(c_22705,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_22698,c_383]) ).
tcf(c_22719,plain,
( ( compose(compose(codomain(compose(a,b)),b),compose(a,h)) = compose(codomain(compose(a,b)),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_20391]) ).
tcf(c_22724,plain,
( ( compose(compose(codomain(b),b),compose(a,h)) = compose(codomain(b),compose(b,compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( codomain(a) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22719,c_383]) ).
tcf(c_22754,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(b)),domain(X0)) = compose(domain(compose(a,h)),compose(codomain(b),domain(X0))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_17388]) ).
tcf(c_22763,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(b)),domain(X0)) = compose(domain(a),compose(codomain(b),domain(X0))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22754,c_287]) ).
tcf(c_22781,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(h)),domain(X0)) = compose(domain(compose(a,h)),compose(codomain(h),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_17417]) ).
tcf(c_22790,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(h)),domain(X0)) = compose(domain(a),compose(codomain(h),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22781,c_287]) ).
tcf(c_22810,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),domain(compose(a,h))) = compose(codomain(X0),compose(codomain(h),domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_17764]) ).
tcf(c_22821,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(h)),domain(a)) = compose(codomain(X0),compose(codomain(h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_22810,c_287]) ).
tcf(c_22884,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),domain(compose(a,h))) = compose(codomain(X0),compose(codomain(b),domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_17868]) ).
tcf(c_22895,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(b)),domain(a)) = compose(codomain(X0),compose(codomain(b),domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_22884,c_287]) ).
tcf(c_23028,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),domain(X1)) = compose(domain(codomain(X0)),compose(codomain(a),domain(X1))) )
| ( domain(X1) != codomain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_20480]) ).
tcf(c_23030,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(a)),domain(X0)) = compose(domain(compose(a,h)),compose(codomain(a),domain(X0))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_20480]) ).
tcf(c_23035,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_23028,c_63]) ).
tcf(c_23039,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(a)),domain(X0)) = compose(domain(a),compose(codomain(a),domain(X0))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23030,c_287]) ).
tcf(c_23050,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_62,c_20489]) ).
tcf(c_23058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(codomain(X2),domain(codomain(X0))),domain(X1)) = compose(codomain(X2),compose(domain(codomain(X0)),domain(X1))) )
| ( codomain(X0) != codomain(X2) )
| ( domain(codomain(X0)) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_63,c_20489]) ).
tcf(c_23060,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(compose(a,h))),domain(X0)) = compose(codomain(X1),compose(domain(compose(a,h)),domain(X0))) )
| ( codomain(X1) != domain(a) )
| ( domain(compose(a,h)) != domain(X0) ) ),
inference(superposition,[status(thm)],[c_287,c_20489]) ).
tcf(c_23065,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_23050,c_62]) ).
tcf(c_23070,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(light_normalisation,[status(thm)],[c_23058,c_63]) ).
tcf(c_23076,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(a)),domain(X1)) = compose(codomain(X0),compose(domain(a),domain(X1))) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23060,c_287]) ).
tcf(c_23148,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),domain(compose(a,h))) = compose(X0,compose(compose(a,b),domain(compose(a,h)))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18609]) ).
tcf(c_23159,plain,
! [X0: $i] :
( ( compose(compose(X0,compose(a,b)),domain(a)) = compose(X0,compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_23148,c_287]) ).
tcf(c_23190,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(a,b)) = compose(compose(a,b),compose(codomain(h),compose(a,b))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_248,c_19064]) ).
tcf(c_23194,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(superposition,[status(thm)],[c_63,c_19064]) ).
tcf(c_23195,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(superposition,[status(thm)],[c_94,c_19064]) ).
tcf(c_23196,plain,
( ( compose(compose(compose(a,b),codomain(h)),compose(a,h)) = compose(compose(a,b),compose(codomain(h),compose(a,h))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_19064]) ).
tcf(c_23350,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_63,c_20182]) ).
tcf(c_23364,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_23350,c_63]) ).
tcf(c_23400,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_63,c_20186]) ).
tcf(c_23414,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_23400,c_63]) ).
tcf(c_23840,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_63,c_22347]) ).
tcf(c_23857,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_23840,c_63]) ).
tcf(c_23920,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),codomain(h)) = compose(domain(codomain(X0)),compose(codomain(a),codomain(h))) )
| ( codomain(a) != codomain(h) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_22272]) ).
tcf(c_23927,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_23920,c_63]) ).
tcf(c_23946,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),codomain(a)),codomain(b)) = compose(domain(codomain(X0)),compose(codomain(a),codomain(b))) )
| ( codomain(a) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_22281]) ).
tcf(c_23953,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_23946,c_63]) ).
tcf(c_24155,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(g)) = compose(compose(a,h),compose(codomain(X0),codomain(g))) )
| ( codomain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_7084]) ).
tcf(c_24160,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(X0)),codomain(h)) = compose(compose(a,h),compose(codomain(X0),codomain(h))) )
| ( codomain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24155,c_525]) ).
tcf(c_24191,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_62,c_23364]) ).
tcf(c_24199,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_63,c_23364]) ).
tcf(c_24201,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),codomain(b)) = compose(codomain(X0),compose(domain(compose(a,h)),codomain(b))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_23364]) ).
tcf(c_24207,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_24191,c_62]) ).
tcf(c_24212,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_24199,c_63]) ).
tcf(c_24217,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24201,c_287]) ).
tcf(c_24228,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_62,c_23414]) ).
tcf(c_24236,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_63,c_23414]) ).
tcf(c_24238,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),codomain(h)) = compose(codomain(X0),compose(domain(compose(a,h)),codomain(h))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_23414]) ).
tcf(c_24244,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_24228,c_62]) ).
tcf(c_24249,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_24236,c_63]) ).
tcf(c_24254,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),codomain(h)) = compose(codomain(X0),compose(domain(a),codomain(h))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24238,c_287]) ).
tcf(c_24265,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_62,c_23857]) ).
tcf(c_24273,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_63,c_23857]) ).
tcf(c_24275,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(compose(a,h))),codomain(a)) = compose(codomain(X0),compose(domain(compose(a,h)),codomain(a))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_23857]) ).
tcf(c_24285,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_24265,c_62]) ).
tcf(c_24290,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_24273,c_63]) ).
tcf(c_24296,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24275,c_287]) ).
tcf(c_24306,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),codomain(domain(X0))),codomain(h)) = compose(compose(a,h),compose(codomain(domain(X0)),codomain(h))) )
| ( domain(X0) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_62,c_24160]) ).
tcf(c_24316,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(h)) = compose(compose(a,h),compose(domain(X0),codomain(h))) )
| ( domain(X0) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_24306,c_62]) ).
tcf(c_24331,plain,
( ( compose(compose(compose(a,h),domain(compose(a,h))),codomain(h)) = compose(compose(a,h),compose(domain(compose(a,h)),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_24316]) ).
tcf(c_24339,plain,
( ( compose(compose(compose(a,h),domain(a)),codomain(h)) = compose(compose(a,h),compose(domain(a),codomain(h))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24331,c_287]) ).
tcf(c_24353,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),domain(a)) = compose(domain(X0),compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_23159]) ).
tcf(c_24354,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),compose(a,b)),domain(a)) = compose(codomain(X0),compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_95,c_23159]) ).
tcf(c_24355,plain,
( ( compose(compose(compose(a,h),compose(a,b)),domain(a)) = compose(compose(a,h),compose(compose(a,b),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_23159]) ).
tcf(c_24356,plain,
( ( compose(compose(compose(a,b),compose(a,b)),domain(a)) = compose(compose(a,b),compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_23159]) ).
tcf(c_24380,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X1)),codomain(domain(X0))) = compose(compose(a,h),compose(domain(X1),codomain(domain(X0)))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_7088]) ).
tcf(c_24383,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(compose(a,b))) = compose(compose(a,h),compose(domain(X0),codomain(compose(a,b)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_7088]) ).
tcf(c_24390,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(compose(a,h))),codomain(X0)) = compose(compose(a,h),compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_7088]) ).
tcf(c_24396,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(compose(a,h),domain(X1)),domain(X0)) = compose(compose(a,h),compose(domain(X1),domain(X0))) )
| ( domain(X1) != codomain(h) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24380,c_62]) ).
tcf(c_24402,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(b)) = compose(compose(a,h),compose(domain(X0),codomain(b))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(light_normalisation,[status(thm)],[c_24383,c_383]) ).
tcf(c_24406,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(a)),codomain(X0)) = compose(compose(a,h),compose(domain(a),codomain(X0))) )
| ( codomain(h) != domain(a) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24390,c_287]) ).
tcf(c_24713,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(compose(a,h))),domain(X0)) = compose(compose(a,h),compose(domain(compose(a,h)),domain(X0))) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_7532]) ).
tcf(c_24717,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),domain(g)) = compose(compose(a,h),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_7532]) ).
tcf(c_24723,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(X0)),codomain(a)) = compose(compose(a,h),compose(domain(X0),codomain(a))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24717,c_72]) ).
tcf(c_24743,plain,
! [X0: $i] :
( ( compose(compose(compose(a,h),domain(a)),domain(X0)) = compose(compose(a,h),compose(domain(a),domain(X0))) )
| ( codomain(h) != domain(a) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24713,c_287]) ).
tcf(c_24760,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) != domain(a) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12199]) ).
tcf(c_24763,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24760,c_248]) ).
tcf(c_24773,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),X0),compose(a,h)) = compose(codomain(X1),compose(X0,compose(a,h))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(X0) != domain(a) ) ),
inference(demodulation,[status(thm)],[c_18326,c_63]) ).
tcf(c_24791,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(a,h)) = compose(codomain(X1),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != codomain(X1) )
| ( codomain(codomain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_24773]) ).
tcf(c_24792,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(a,h)) = compose(codomain(X1),compose(domain(X0),compose(a,h))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_24773]) ).
tcf(c_24802,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X0),domain(X1)),compose(a,h)) = compose(codomain(X0),compose(domain(X1),compose(a,h))) )
| ( domain(X1) != domain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24792,c_62]) ).
tcf(c_24806,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),codomain(X0)),compose(a,h)) = compose(codomain(X1),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24791,c_95]) ).
tcf(c_24833,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(X0)),compose(a,h)) = compose(domain(compose(a,h)),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18350]) ).
tcf(c_24834,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(X0)),compose(a,h)) = compose(domain(a),compose(codomain(X0),compose(a,h))) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24833,c_287]) ).
tcf(c_24853,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) != domain(a) ) ),
inference(demodulation,[status(thm)],[c_18949,c_63]) ).
tcf(c_24871,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(X1) )
| ( codomain(codomain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_24853]) ).
tcf(c_24872,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(X1),domain(X0)),compose(a,b)) = compose(codomain(X1),compose(domain(X0),compose(a,b))) )
| ( codomain(X1) != domain(X0) )
| ( codomain(domain(X0)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_94,c_24853]) ).
tcf(c_24882,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) != domain(a) )
| ( codomain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24872,c_62]) ).
tcf(c_24886,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) != domain(a) )
| ( codomain(X0) != codomain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_24871,c_95]) ).
tcf(c_24913,plain,
! [X0: $i] :
( ( compose(compose(domain(compose(a,h)),codomain(X0)),compose(a,b)) = compose(domain(compose(a,h)),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18973]) ).
tcf(c_24914,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(X0)),compose(a,b)) = compose(domain(a),compose(codomain(X0),compose(a,b))) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24913,c_287]) ).
tcf(c_24937,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(domain(X0))),compose(a,h)) = compose(domain(a),compose(codomain(domain(X0)),compose(a,h))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_24834]) ).
tcf(c_24942,plain,
! [X0: $i] :
( ( compose(compose(domain(a),domain(X0)),compose(a,h)) = compose(domain(a),compose(domain(X0),compose(a,h))) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24937,c_62]) ).
tcf(c_24955,plain,
! [X0: $i] :
( ( compose(compose(domain(a),codomain(domain(X0))),compose(a,b)) = compose(domain(a),compose(codomain(domain(X0)),compose(a,b))) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_62,c_24914]) ).
tcf(c_24960,plain,
! [X0: $i] :
( ( compose(compose(domain(a),domain(X0)),compose(a,b)) = compose(domain(a),compose(domain(X0),compose(a,b))) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_24955,c_62]) ).
tcf(c_25066,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),codomain(X0)),codomain(compose(a,b))) = compose(compose(a,b),compose(codomain(X0),codomain(compose(a,b)))) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_19045]) ).
tcf(c_25069,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_25066,c_383]) ).
tcf(c_25106,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_62,c_19318]) ).
tcf(c_25108,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),codomain(compose(a,h))) = compose(compose(a,b),compose(domain(X0),codomain(compose(a,h)))) )
| ( domain(X0) != codomain(h) )
| ( domain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_396,c_19318]) ).
tcf(c_25109,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_383,c_19318]) ).
tcf(c_25116,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(compose(a,h))),codomain(X0)) = compose(compose(a,b),compose(domain(compose(a,h)),codomain(X0))) )
| ( codomain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_19318]) ).
tcf(c_25117,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_25109,c_383]) ).
tcf(c_25124,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_25106,c_62]) ).
tcf(c_25130,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_25108,c_396]) ).
tcf(c_25134,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25116,c_287]) ).
tcf(c_25148,plain,
( ( compose(compose(compose(a,b),codomain(g)),codomain(b)) = compose(compose(a,b),compose(codomain(g),codomain(b))) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_525,c_25069]) ).
tcf(c_25154,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_25148,c_525]) ).
tcf(c_25170,plain,
( ( compose(compose(compose(a,b),domain(compose(a,h))),codomain(b)) = compose(compose(a,b),compose(domain(compose(a,h)),codomain(b))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_25117]) ).
tcf(c_25178,plain,
( ( compose(compose(compose(a,b),domain(a)),codomain(b)) = compose(compose(a,b),compose(domain(a),codomain(b))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25170,c_287]) ).
tcf(c_25203,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(a,h)) = compose(compose(a,b),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) )
| ( domain(compose(a,b)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_383,c_12205]) ).
tcf(c_25206,plain,
( ( compose(compose(compose(a,b),compose(a,b)),compose(a,h)) = compose(compose(a,b),compose(compose(a,b),compose(a,h))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25203,c_248]) ).
tcf(c_25343,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),compose(a,b)),codomain(g)) = compose(domain(X0),compose(compose(a,b),codomain(g))) )
| ( codomain(b) != codomain(h) )
| ( domain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_525,c_12378]) ).
tcf(c_25349,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25343,c_525]) ).
tcf(c_25779,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(a,h)) = compose(domain(X0),compose(domain(g),compose(a,h))) )
| ( domain(a) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_18346]) ).
tcf(c_25782,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),compose(a,h)) = compose(domain(X0),compose(domain(compose(a,h)),compose(a,h))) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18346]) ).
tcf(c_25797,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(a,h)) = compose(domain(X0),compose(codomain(a),compose(a,h))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25779,c_72]) ).
tcf(c_25809,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),compose(a,h)) = compose(domain(X0),compose(domain(compose(a,h)),compose(a,h))) )
| ( domain(X0) != domain(a) ) ),
inference(ground_joinability,[status(thm)],[c_25782,c_287]) ).
tcf(c_25810,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),compose(a,h)) = compose(domain(X0),compose(a,h)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25809,c_287,c_308]) ).
tcf(c_25826,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(a)),compose(a,h)) = compose(domain(codomain(X0)),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_25810]) ).
tcf(c_25837,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),compose(a,h)) = compose(codomain(X0),compose(a,h)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25826,c_63]) ).
tcf(c_25882,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(g)),compose(a,b)) = compose(domain(X0),compose(domain(g),compose(a,b))) )
| ( domain(a) != domain(g) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_18969]) ).
tcf(c_25885,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),compose(a,b)) = compose(domain(X0),compose(domain(compose(a,h)),compose(a,b))) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != domain(a) ) ),
inference(superposition,[status(thm)],[c_287,c_18969]) ).
tcf(c_25900,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),codomain(a)),compose(a,b)) = compose(domain(X0),compose(codomain(a),compose(a,b))) )
| ( codomain(a) != domain(a) )
| ( domain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25882,c_72]) ).
tcf(c_25912,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(compose(a,h))),compose(a,b)) = compose(domain(X0),compose(domain(compose(a,h)),compose(a,b))) )
| ( domain(X0) != domain(a) ) ),
inference(ground_joinability,[status(thm)],[c_25885,c_287]) ).
tcf(c_25913,plain,
! [X0: $i] :
( ( compose(compose(domain(X0),domain(a)),compose(a,b)) = compose(domain(X0),compose(a,b)) )
| ( domain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25912,c_262,c_287]) ).
tcf(c_25929,plain,
! [X0: $i] :
( ( compose(compose(domain(codomain(X0)),domain(a)),compose(a,b)) = compose(domain(codomain(X0)),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_25913]) ).
tcf(c_25940,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(a)),compose(a,b)) = compose(codomain(X0),compose(a,b)) )
| ( codomain(X0) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_25929,c_63]) ).
tcf(c_26033,plain,
( ( compose(compose(codomain(compose(a,h)),compose(a,h)),domain(a)) = compose(codomain(compose(a,h)),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) ) ),
inference(superposition,[status(thm)],[c_396,c_19094]) ).
tcf(c_26035,plain,
( ( compose(compose(codomain(h),compose(a,h)),domain(a)) = compose(codomain(h),compose(compose(a,h),domain(a))) )
| ( codomain(h) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26033,c_396]) ).
tcf(c_26061,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(compose(a,h))),domain(X0)) = compose(compose(a,b),compose(domain(compose(a,h)),domain(X0))) )
| ( domain(X0) != domain(a) )
| ( domain(compose(a,h)) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_287,c_20018]) ).
tcf(c_26065,plain,
! [X0: $i] :
( ( compose(compose(compose(a,b),domain(X0)),domain(g)) = compose(compose(a,b),compose(domain(X0),domain(g))) )
| ( domain(X0) != codomain(b) )
| ( domain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_20018]) ).
tcf(c_26071,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_26065,c_72]) ).
tcf(c_26091,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26061,c_287]) ).
tcf(c_26503,plain,
( ( compose(compose(compose(a,b),codomain(h)),domain(compose(a,h))) = compose(compose(a,b),compose(codomain(h),domain(compose(a,h)))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(superposition,[status(thm)],[c_287,c_23195]) ).
tcf(c_26512,plain,
( ( compose(compose(compose(a,b),codomain(h)),domain(a)) = compose(compose(a,b),compose(codomain(h),domain(a))) )
| ( codomain(h) != domain(a) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26503,c_287]) ).
tcf(c_26532,plain,
( ( compose(compose(codomain(compose(a,b)),compose(a,b)),domain(a)) = compose(codomain(compose(a,b)),compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) ) ),
inference(superposition,[status(thm)],[c_383,c_24354]) ).
tcf(c_26533,plain,
( ( compose(compose(codomain(b),compose(a,b)),domain(a)) = compose(codomain(b),compose(compose(a,b),domain(a))) )
| ( codomain(b) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26532,c_383]) ).
tcf(c_26640,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(codomain(domain(X0)),domain(X1)),compose(a,h)) = compose(codomain(domain(X0)),compose(domain(X1),compose(a,h))) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_24802]) ).
tcf(c_26647,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),compose(a,h)) = compose(codomain(X0),compose(domain(g),compose(a,h))) )
| ( domain(a) != domain(g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_24802]) ).
tcf(c_26651,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(a,h)) = compose(codomain(X0),compose(codomain(a),compose(a,h))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26647,c_72]) ).
tcf(c_26658,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(domain(X0),domain(X1)),compose(a,h)) = compose(domain(X0),compose(domain(X1),compose(a,h))) )
| ( domain(X1) != domain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_26640,c_62]) ).
tcf(c_26676,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) != domain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(superposition,[status(thm)],[c_62,c_24882]) ).
tcf(c_26683,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),domain(g)),compose(a,b)) = compose(codomain(X0),compose(domain(g),compose(a,b))) )
| ( domain(a) != domain(g) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_24882]) ).
tcf(c_26687,plain,
! [X0: $i] :
( ( compose(compose(codomain(X0),codomain(a)),compose(a,b)) = compose(codomain(X0),compose(codomain(a),compose(a,b))) )
| ( codomain(a) != domain(a) )
| ( codomain(X0) != codomain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26683,c_72]) ).
tcf(c_26694,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) != domain(a) )
| ( domain(X0) != domain(X1) ) ),
inference(light_normalisation,[status(thm)],[c_26676,c_62]) ).
tcf(c_26782,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) != domain(a) ) ),
inference(superposition,[status(thm)],[c_63,c_25349]) ).
tcf(c_26785,plain,
( ( compose(compose(domain(a),compose(a,b)),codomain(h)) = compose(domain(a),compose(compose(a,b),codomain(h))) )
| ( codomain(b) != codomain(h) ) ),
inference(equality_resolution,[status(thm)],[c_25349]) ).
tcf(c_26786,plain,
( ( compose(domain(a),compose(compose(a,b),codomain(h))) = compose(compose(a,b),codomain(h)) )
| ( codomain(b) != codomain(h) ) ),
inference(light_normalisation,[status(thm)],[c_26785,c_262]) ).
tcf(c_26798,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) != domain(a) ) ),
inference(light_normalisation,[status(thm)],[c_26782,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 06:55:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.10/0.40 Running model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 10.67/2.19 % SZS status Started for theBenchmark.p
% 10.67/2.19 % SZS status Satisfiable for theBenchmark.p
% 10.67/2.19
% 10.67/2.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.67/2.19
% 10.67/2.19 ------ iProver source info
% 10.67/2.19
% 10.67/2.19 git: date: 2026-07-19 20:42:38 +0200
% 10.67/2.19 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.67/2.19 git: non_committed_changes: false
% 10.67/2.19
% 10.67/2.19 ------ Parsing...successful
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.67/2.19 ------ Proving...
% 10.67/2.19 ------ Problem Properties
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19 clauses 13
% 10.67/2.19 conjectures 1
% 10.67/2.19 EPR 1
% 10.67/2.19 Horn 13
% 10.67/2.19 unary 9
% 10.67/2.19 binary 2
% 10.67/2.19 lits 20
% 10.67/2.19 lits eq 20
% 10.67/2.19 fd_pure 0
% 10.67/2.19 fd_pseudo 0
% 10.67/2.19 fd_cond 0
% 10.67/2.19 fd_pseudo_cond 1
% 10.67/2.19 AC symbols 0
% 10.67/2.19
% 10.67/2.19 ------ Schedule dynamic 5 is on
% 10.67/2.19
% 10.67/2.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19 ------
% 10.67/2.19 Current options:
% 10.67/2.19 ------
% 10.67/2.19
% 10.67/2.19 ------ Input Options
% 10.67/2.19
% 10.67/2.19 --out_options all
% 10.67/2.19 --tptp_safe_out true
% 10.67/2.19 --problem_path ""
% 10.67/2.19 --include_path ""
% 10.67/2.19 --clausifier res/vclausify_rel
% 10.67/2.19 --clausifier_options --mode clausify -t 101.67 -updr off
% 10.67/2.19 --stdin false
% 10.67/2.19 --proof_out true
% 10.67/2.19 --proof_dot_file ""
% 10.67/2.19 --proof_reduce_dot []
% 10.67/2.19 --suppress_sat_res false
% 10.67/2.19 --suppress_unsat_res true
% 10.67/2.19 --stats_out none
% 10.67/2.19 --stats_mem false
% 10.67/2.19 --theory_stats_out false
% 10.67/2.19
% 10.67/2.19 ------ General Options
% 10.67/2.19
% 10.67/2.19 --fof false
% 10.67/2.19 --time_out_real 305.
% 10.67/2.19 --time_out_virtual -1.
% 10.67/2.19 --rnd_seed 13
% 10.67/2.19 --symbol_type_check false
% 10.67/2.19 --clausify_out false
% 10.67/2.19 --sig_cnt_out false
% 10.67/2.19 --trig_cnt_out false
% 10.67/2.19 --trig_cnt_out_tolerance 1.
% 10.67/2.19 --trig_cnt_out_sk_spl false
% 10.67/2.19 --abstr_cl_out false
% 10.67/2.19
% 10.67/2.19 ------ Interactive Mode
% 10.67/2.19
% 10.67/2.19 --interactive_mode false
% 10.67/2.19 --external_ip_address ""
% 10.67/2.19 --external_port 0
% 10.67/2.19
% 10.67/2.19 ------ Global Options
% 10.67/2.19
% 10.67/2.19 --schedule default
% 10.67/2.19 --add_important_lit false
% 10.67/2.19 --prop_solver_per_cl 500
% 10.67/2.19 --subs_bck_mult 8
% 10.67/2.19 --min_unsat_core false
% 10.67/2.19 --soft_assumptions false
% 10.67/2.19 --soft_lemma_size 3
% 10.67/2.19 --prop_impl_unit_size 0
% 10.67/2.19 --prop_impl_unit []
% 10.67/2.19 --share_sel_clauses true
% 10.67/2.19 --reset_solvers false
% 10.67/2.19 --bc_imp_inh [conj_cone]
% 10.67/2.19 --conj_cone_tolerance 3.
% 10.67/2.19 --extra_neg_conj none
% 10.67/2.19 --large_theory_mode true
% 10.67/2.19 --prolific_symb_bound 200
% 10.67/2.19 --lt_threshold 2000
% 10.67/2.19 --clause_weak_htbl true
% 10.67/2.19 --gc_record_bc_elim false
% 10.67/2.19
% 10.67/2.19 ------ Preprocessing Options
% 10.67/2.19
% 10.67/2.19 --preprocessing_flag false
% 10.67/2.19 --time_out_prep_mult 0.1
% 10.67/2.19 --splitting_mode input
% 10.67/2.19 --splitting_grd true
% 10.67/2.19 --splitting_cvd false
% 10.67/2.19 --splitting_cvd_svl false
% 10.67/2.19 --splitting_nvd 32
% 10.67/2.19 --sub_typing false
% 10.67/2.19 --prep_eq_flat_conj false
% 10.67/2.19 --prep_ineq_split false
% 10.67/2.19 --prep_eq_flat_all_gr false
% 10.67/2.19 --prep_gs_sim true
% 10.67/2.19 --prep_unflatten true
% 10.67/2.19 --prep_res_sim true
% 10.67/2.19 --prep_sup_sim_all true
% 10.67/2.19 --prep_sup_sim_sup false
% 10.67/2.19 --prep_upred true
% 10.67/2.19 --prep_well_definedness true
% 10.67/2.19 --prep_sem_filter exhaustive
% 10.67/2.19 --prep_sem_filter_out false
% 10.67/2.19 --pred_elim true
% 10.67/2.19 --res_sim_input true
% 10.67/2.19 --eq_ax_congr_red true
% 10.67/2.19 --pure_diseq_elim true
% 10.67/2.19 --brand_transform false
% 10.67/2.19 --non_eq_to_eq false
% 10.67/2.19 --prep_eq_proxy false
% 10.67/2.19 --prep_def_merge true
% 10.67/2.19 --prep_def_merge_prop_impl false
% 10.67/2.19 --prep_def_merge_mbd true
% 10.67/2.19 --prep_def_merge_tr_red false
% 10.67/2.19 --prep_def_merge_tr_cl false
% 10.67/2.19 --smt_preprocessing false
% 10.67/2.19 --smt_ac_axioms fast
% 10.67/2.19 --preprocessed_out false
% 10.67/2.19 --preprocessed_stats false
% 10.67/2.19
% 10.67/2.19 ------ Abstraction refinement Options
% 10.67/2.19
% 10.67/2.19 --abstr_ref []
% 10.67/2.19 --abstr_ref_prep false
% 10.67/2.19 --abstr_ref_until_sat false
% 10.67/2.19 --abstr_ref_sig_restrict funpre
% 10.67/2.19 --abstr_ref_af_restrict_to_split_sk false
% 10.67/2.19 --abstr_ref_under []
% 10.67/2.19
% 10.67/2.19 ------ SAT Options
% 10.67/2.19
% 10.67/2.19 --sat_mode false
% 10.67/2.19 --sat_fm_restart_options ""
% 10.67/2.19 --sat_gr_def false
% 10.67/2.19 --sat_epr_types true
% 10.67/2.19 --sat_non_cyclic_types false
% 10.67/2.19 --sat_finite_models false
% 10.67/2.19 --sat_fm_lemmas false
% 10.67/2.19 --sat_fm_prep false
% 10.67/2.19 --sat_fm_uc_incr true
% 10.67/2.19 --sat_out_model pos
% 10.67/2.19 --sat_out_clauses false
% 10.67/2.19
% 10.67/2.19 ------ QBF Options
% 10.67/2.19
% 10.67/2.19 --qbf_mode false
% 10.67/2.19 --qbf_elim_univ false
% 10.67/2.19 --qbf_dom_inst none
% 10.67/2.19 --qbf_dom_pre_inst false
% 10.67/2.19 --qbf_sk_in false
% 10.67/2.19 --qbf_pred_elim true
% 10.67/2.19 --qbf_split 512
% 10.67/2.19
% 10.67/2.19 ------ BMC1 Options
% 10.67/2.19
% 10.67/2.19 --bmc1_incremental false
% 10.67/2.19 --bmc1_axioms reachable_all
% 10.67/2.19 --bmc1_min_bound 0
% 10.67/2.19 --bmc1_max_bound -1
% 10.67/2.19 --bmc1_max_bound_default -1
% 10.67/2.19 --bmc1_symbol_reachability true
% 10.67/2.19 --bmc1_property_lemmas false
% 10.67/2.19 --bmc1_k_induction false
% 10.67/2.19 --bmc1_non_equiv_states false
% 10.67/2.19 --bmc1_deadlock false
% 10.67/2.19 --bmc1_ucm false
% 10.67/2.19 --bmc1_add_unsat_core none
% 10.67/2.19 --bmc1_unsat_core_children false
% 10.67/2.19 --bmc1_unsat_core_extrapolate_axioms false
% 10.67/2.19 --bmc1_out_stat full
% 10.67/2.19 --bmc1_ground_init false
% 10.67/2.19 --bmc1_pre_inst_next_state false
% 10.67/2.19 --bmc1_pre_inst_state false
% 10.67/2.19 --bmc1_pre_inst_reach_state false
% 10.67/2.19 --bmc1_out_unsat_core false
% 10.67/2.19 --bmc1_aig_witness_out false
% 10.67/2.19 --bmc1_verbose false
% 10.67/2.19 --bmc1_dump_clauses_tptp false
% 10.67/2.19 --bmc1_dump_unsat_core_tptp false
% 10.67/2.19 --bmc1_dump_file -
% 10.67/2.19 --bmc1_ucm_expand_uc_limit 128
% 10.67/2.19 --bmc1_ucm_n_expand_iterations 6
% 10.67/2.19 --bmc1_ucm_extend_mode 1
% 10.67/2.19 --bmc1_ucm_init_mode 2
% 10.67/2.19 --bmc1_ucm_cone_mode none
% 10.67/2.19 --bmc1_ucm_reduced_relation_type 0
% 10.67/2.19 --bmc1_ucm_relax_model 4
% 10.67/2.19 --bmc1_ucm_full_tr_after_sat true
% 10.67/2.19 --bmc1_ucm_expand_neg_assumptions false
% 10.67/2.19 --bmc1_ucm_layered_model none
% 10.67/2.19 --bmc1_ucm_max_lemma_size 10
% 10.67/2.19
% 10.67/2.19 ------ AIG Options
% 10.67/2.19
% 10.67/2.19 --aig_mode false
% 10.67/2.19
% 10.67/2.19 ------ Instantiation Options
% 10.67/2.19
% 10.67/2.19 --instantiation_flag true
% 10.67/2.19 --inst_sos_flag false
% 10.67/2.19 --inst_sos_phase true
% 10.67/2.19 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 10.67/2.19 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 10.67/2.19 --inst_lit_sel_side none
% 10.67/2.19 --inst_solver_per_active 1400
% 10.67/2.19 --inst_solver_calls_frac 1.
% 10.67/2.19 --inst_to_smt_solver true
% 10.67/2.19 --inst_passive_queue_type priority_queues
% 10.67/2.19 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 10.67/2.19 --inst_passive_queues_freq [25;2]
% 10.67/2.19 --inst_dismatching true
% 10.67/2.19 --inst_eager_unprocessed_to_passive true
% 10.67/2.19 --inst_unprocessed_bound 1000
% 10.67/2.19 --inst_prop_sim_given true
% 10.67/2.19 --inst_prop_sim_new false
% 10.67/2.19 --inst_subs_new false
% 10.67/2.19 --inst_eq_res_simp false
% 10.67/2.19 --inst_subs_given false
% 10.67/2.19 --inst_orphan_elimination true
% 10.67/2.19 --inst_learning_loop_flag true
% 10.67/2.19 --inst_learning_start 3000
% 10.67/2.19 --inst_learning_factor 2
% 10.67/2.19 --inst_start_prop_sim_after_learn 3
% 10.67/2.19 --inst_sel_renew solver
% 10.67/2.19 --inst_lit_activity_flag true
% 10.67/2.19 --inst_restr_to_given false
% 10.67/2.19 --inst_activity_threshold 500
% 10.67/2.19
% 10.67/2.19 ------ Resolution Options
% 10.67/2.19
% 10.67/2.19 --resolution_flag false
% 10.67/2.19 --res_lit_sel adaptive
% 10.67/2.19 --res_lit_sel_side none
% 10.67/2.19 --res_ordering kbo
% 10.67/2.19 --res_to_prop_solver active
% 10.67/2.19 --res_prop_simpl_new false
% 10.67/2.19 --res_prop_simpl_given true
% 10.67/2.19 --res_to_smt_solver true
% 10.67/2.19 --res_passive_queue_type priority_queues
% 10.67/2.19 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 10.67/2.19 --res_passive_queues_freq [15;5]
% 10.67/2.19 --res_forward_subs full
% 10.67/2.19 --res_backward_subs full
% 10.67/2.19 --res_forward_subs_resolution true
% 10.67/2.19 --res_backward_subs_resolution true
% 10.67/2.19 --res_orphan_elimination true
% 10.67/2.19 --res_time_limit 300.
% 10.67/2.19
% 10.67/2.19 ------ Superposition Options
% 10.67/2.19
% 10.67/2.19 --superposition_flag true
% 10.67/2.19 --sup_passive_queue_type priority_queues
% 10.67/2.19 --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]]
% 10.67/2.19 --sup_passive_queues_freq [8;1;4;4]
% 10.67/2.19 --twee_lhs_weight 4
% 10.67/2.19 --sup_set_join false
% 10.67/2.19 --sup_set_join_goals true
% 10.67/2.19 --sup_set_join_limit 1000
% 10.67/2.19 --demod_completeness_check fast
% 10.67/2.19 --demod_use_ground true
% 10.67/2.19 --sup_unprocessed_bound 0
% 10.67/2.19 --sup_to_prop_solver passive
% 10.67/2.19 --sup_prop_simpl_new true
% 10.67/2.19 --sup_prop_simpl_given true
% 10.67/2.19 --sup_fun_splitting false
% 10.67/2.19 --sup_iter_deepening 2
% 10.67/2.19 --sup_restarts_mult 12
% 10.67/2.19 --sup_score sim_d_gen
% 10.67/2.19 --sup_share_score_frac 0.2
% 10.67/2.19 --sup_share_max_num_cl 500
% 10.67/2.19 --sup_ordering kbo
% 10.67/2.19 --sup_symb_ordering invfreq
% 10.67/2.19 --sup_term_weight default
% 10.67/2.19
% 10.67/2.19 ------ Superposition Simplification Setup
% 10.67/2.19
% 10.67/2.19 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 10.67/2.19 --sup_full_triv [SMTSimplify;PropSubs]
% 10.67/2.19 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 10.67/2.19 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 10.67/2.19 --sup_immed_triv []
% 10.67/2.19 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 10.67/2.19 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 10.67/2.19 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 10.67/2.19 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 10.67/2.19 --sup_input_triv [Unflattening;SMTSimplify]
% 10.67/2.19 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 10.67/2.19 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 10.67/2.19 --sup_full_fixpoint true
% 10.67/2.19 --sup_main_fixpoint true
% 10.67/2.19 --sup_immed_fixpoint false
% 10.67/2.19 --sup_input_fixpoint true
% 10.67/2.19 --sup_cache_sim none
% 10.67/2.19 --sup_smt_interval 500
% 10.67/2.19 --sup_bw_gjoin_interval 0
% 10.67/2.19
% 10.67/2.19 ------ Combination Options
% 10.67/2.19
% 10.67/2.19 --comb_mode clause_based
% 10.67/2.19 --comb_inst_mult 5
% 10.67/2.19 --comb_res_mult 1
% 10.67/2.19 --comb_sup_mult 8
% 10.67/2.19 --comb_sup_deep_mult 2
% 10.67/2.19
% 10.67/2.19 ------ Debug Options
% 10.67/2.19
% 10.67/2.19 --dbg_backtrace false
% 10.67/2.19 --dbg_dump_prop_clauses false
% 10.67/2.19 --dbg_dump_prop_clauses_file -
% 10.67/2.19 --dbg_out_stat false
% 10.67/2.19 --dbg_just_parse false
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19 ------ Proving...
% 10.67/2.19
% 10.67/2.19
% 10.67/2.19 % SZS status Satisfiable for theBenchmark.p
% 10.67/2.19
% 10.67/2.19 % SZS output start Saturation for theBenchmark.p
% See solution above
% 12.25/2.23
% 12.25/2.23
%------------------------------------------------------------------------------