%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 01:01:01 PM UTC 2026
% Result : Unsatisfiable 77.44s 23.34s
% Output : CNFRefutation 90.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 6283 ( 300 unt; 0 def)
% Number of atoms : 18401 ( 642 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 24247 (12129 ~;12118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 5277 ( 0 sgn5277 !; 0 ?;5219 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
fof(f2,axiom,
! [X2,X0,X1] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( defined(X1,X3)
| ~ defined(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] :
( defined(X0,X4)
| ~ defined(X2,X3)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom1) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X5,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( defined(X4,X1)
| ~ defined(X3,X2)
| ~ product(X3,X0,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom4) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X5,X1,X4)
| ~ product(X3,X0,X5)
| ~ product(X3,X2,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom5) ).
fof(f9,axiom,
! [X2,X0,X1] :
( defined(X0,X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ product(a,X2,X1)
| ~ product(a,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ product(b,X2,X1)
| ~ product(b,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f22,axiom,
product(c,h,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ch_equals_d) ).
fof(f23,axiom,
product(c,g,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cg_equals_d) ).
fof(f24,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,X3)
| ~ defined(X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( defined(X0,X4)
| ~ defined(X2,X3)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X0,X4,X5)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( defined(X4,X1)
| ~ defined(X3,X2)
| ~ product(X3,X0,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X4,X1,X5)
| ~ product(X3,X2,X5)
| ~ product(X3,X0,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_82,plain,
! [X0: $i] : identity_map(domain(X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_83,plain,
! [X0: $i] : identity_map(codomain(X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_84,plain,
! [X0: $i] : defined(X0,domain(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_85,plain,
! [X0: $i] : defined(codomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_86,plain,
! [X0: $i] : product(X0,domain(X0),X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_87,plain,
! [X0: $i] : product(codomain(X0),X0,X0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ product(a,X2,X1)
| ~ product(a,X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ product(b,X2,X1)
| ~ product(b,X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_93,plain,
product(a,b,c),
inference(cnf_transformation,[],[f21]) ).
tcf(c_94,plain,
product(c,h,d),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,plain,
product(c,g,d),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f24]) ).
tcf(c_98,plain,
identity_map(domain(a)),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_101,plain,
product(codomain(a),a,a),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_102,plain,
product(a,domain(a),a),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_384,negated_conjecture,
h != g,
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_385,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X0,X2,X4)
| ~ product(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( identity_map(X0)
| ~ identity_map(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_391,plain,
a = a,
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_685,plain,
defined(a,b),
inference(superposition,[status(thm)],[c_93,c_74]) ).
tcf(c_686,plain,
defined(c,h),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_687,plain,
defined(c,g),
inference(superposition,[status(thm)],[c_95,c_74]) ).
tcf(c_711,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_712,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_94,c_75]) ).
tcf(c_713,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_95,c_75]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_75]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_742,plain,
defined(b,domain(c)),
inference(superposition,[status(thm)],[c_84,c_711]) ).
tcf(c_743,plain,
defined(b,h),
inference(superposition,[status(thm)],[c_686,c_711]) ).
tcf(c_749,plain,
defined(h,domain(d)),
inference(superposition,[status(thm)],[c_84,c_712]) ).
tcf(c_754,plain,
defined(g,domain(d)),
inference(superposition,[status(thm)],[c_84,c_713]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,X0)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_76]) ).
tcf(c_764,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_76]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(X0,X1)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_76]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_76]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ identity_map(X3)
| ~ defined(X3,X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_76]) ).
tcf(c_809,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_810,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_94,c_78]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X1)
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_73,c_78]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ identity_map(X0)
| ~ defined(X2,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_78]) ).
tcf(c_833,plain,
! [X0: $i] :
( ( h = g )
| ~ product(a,g,X0)
| ~ product(a,h,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_834,plain,
( ( h = g )
| ~ product(a,g,a)
| ~ product(a,h,a) ),
inference(instantiation,[status(thm)],[c_833]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_84,c_81]) ).
tcf(c_845,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_685,c_81]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_843,c_82]) ).
tcf(c_905,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(a,b,X0) ),
inference(superposition,[status(thm)],[c_93,c_90]) ).
tcf(c_906,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_94,c_90]) ).
tcf(c_907,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,X1) = X2 )
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_73,c_90]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(X0,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_90]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(codomain(X0),X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_90]) ).
tcf(c_958,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ product(a,X0,a) ),
inference(superposition,[status(thm)],[c_86,c_91]) ).
tcf(c_1025,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_715,c_810]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(codomain(X0))
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_814,c_81]) ).
tcf(c_1042,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_814,c_711]) ).
tcf(c_1051,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1041,c_83]) ).
tcf(c_1125,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ product(b,X0,b) ),
inference(superposition,[status(thm)],[c_86,c_92]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_94,c_79]) ).
tcf(c_1160,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_95,c_79]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X0,X1)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_87,c_79]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ product(c,g,d)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,domain(X0),X3)
| ~ product(X1,X0,X3)
| ~ product(X1,X0,X2)
| ~ product(X0,domain(X0),X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ product(d,X0,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_77]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ product(g,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_77]) ).
tcf(c_1315,plain,
h = h,
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_1316,plain,
! [X0: $i,X1: $i] :
( ( h = X0 )
| ( h != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_1326,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,h,X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_94,c_80]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_1369,plain,
! [X0: $i] : defined(X0,domain(domain(X0))),
inference(superposition,[status(thm)],[c_84,c_876]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_814,c_876]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(X0)))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_1369,c_81]) ).
tcf(c_1387,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1380,c_82]) ).
tcf(c_1499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = domain(X0) )
| ~ product(a,X2,X1)
| ~ product(a,domain(X0),X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_1528,plain,
( ( a = c )
| ~ identity_map(b)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_89,c_905]) ).
tcf(c_1530,plain,
( ( a = c )
| ~ identity_map(b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1528,c_685]) ).
tcf(c_1641,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_1025,c_809]) ).
tcf(c_1670,plain,
c = c,
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_1864,plain,
! [X0: $i] :
( defined(compose(X0,c),h)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_1159]) ).
tcf(c_1973,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_1025,c_1387]) ).
tcf(c_1997,plain,
! [X0: $i] : domain(X0) = domain(X0),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_1998,plain,
domain(a) = domain(a),
inference(instantiation,[status(thm)],[c_1997]) ).
tcf(c_2120,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_1160]) ).
tcf(c_2186,plain,
( defined(a,h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_743,c_845]) ).
tcf(c_2538,plain,
! [X0: $i,X1: $i] :
( product(c,compose(h,X0),X1)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_1226]) ).
tcf(c_2539,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_86,c_1226]) ).
tcf(c_2540,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(h)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_1226]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i] :
( product(c,h,X1)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_1226]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] :
( product(c,X1,compose(d,X0))
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_1227]) ).
tcf(c_3005,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_86,c_1227]) ).
tcf(c_3006,plain,
! [X0: $i,X1: $i] :
( product(c,X1,X0)
| ~ identity_map(d)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_1227]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i] :
( product(c,X1,d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_1227]) ).
tcf(c_3051,plain,
! [X0: $i] :
( ( compose(X0,domain(X0)) = X0 )
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_73,c_909]) ).
tcf(c_3053,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_88,c_909]) ).
tcf(c_3055,plain,
! [X0: $i] : compose(X0,domain(X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_3051,c_84]) ).
tcf(c_3056,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3053,c_84]) ).
tcf(c_3060,plain,
( ( domain(a) = a )
| ~ identity_map(a) ),
inference(instantiation,[status(thm)],[c_3056]) ).
tcf(c_3066,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_3056]) ).
tcf(c_3124,plain,
! [X0: $i] : defined(domain(X0),domain(X0)),
inference(superposition,[status(thm)],[c_3066,c_84]) ).
tcf(c_3416,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_1641,c_1371]) ).
tcf(c_3764,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ product(c,g,d)
| ~ product(codomain(X0),d,X2)
| ~ product(codomain(X0),c,X1) ),
inference(instantiation,[status(thm)],[c_1213]) ).
tcf(c_3768,plain,
( product(a,g,a)
| ~ product(c,g,d)
| ~ product(codomain(a),d,a)
| ~ product(codomain(a),c,a) ),
inference(instantiation,[status(thm)],[c_3764]) ).
tcf(c_3878,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_1326]) ).
tcf(c_3905,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_89,c_910]) ).
tcf(c_3907,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3905,c_85]) ).
tcf(c_3917,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_3907]) ).
tcf(c_3995,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(a))
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_3416,c_81]) ).
tcf(c_4042,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3995,c_83]) ).
tcf(c_4134,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,domain(X0),X2)
| ~ product(X1,X0,d)
| ~ product(X1,X0,X2)
| ~ product(X0,domain(X0),X0) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_4251,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_1327]) ).
tcf(c_4277,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_89,c_958]) ).
tcf(c_4290,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_89,c_1125]) ).
tcf(c_4325,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(h,X0),X2)
| ~ defined(h,X0)
| ~ defined(X1,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_2538,c_75]) ).
tcf(c_4376,plain,
( product(c,h,compose(d,domain(h)))
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_73,c_2539]) ).
tcf(c_4377,plain,
( product(c,h,domain(h))
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_88,c_2539]) ).
tcf(c_4590,plain,
( product(c,compose(g,domain(d)),d)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_73,c_3005]) ).
tcf(c_4593,plain,
product(c,compose(g,domain(d)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_4590,c_754]) ).
tcf(c_4849,plain,
( product(c,h,compose(codomain(c),d))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_73,c_3878]) ).
tcf(c_4851,plain,
( product(c,h,codomain(c))
| ~ identity_map(d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_89,c_3878]) ).
tcf(c_4861,plain,
( product(c,g,compose(codomain(c),d))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_73,c_4251]) ).
tcf(c_4863,plain,
( product(c,g,codomain(c))
| ~ identity_map(d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_89,c_4251]) ).
tcf(c_4887,plain,
! [X0: $i] :
( product(c,compose(g,X0),X0)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_3006]) ).
tcf(c_5423,plain,
! [X0: $i] :
( ( h = X0 )
| ( h != h )
| ( X0 != h ) ),
inference(instantiation,[status(thm)],[c_1316]) ).
tcf(c_6725,plain,
! [X0: $i,X1: $i] :
( ( c = X0 )
| ( c != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_7177,plain,
product(g,domain(g),g),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_8515,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ defined(d,X0)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_86,c_4325]) ).
tcf(c_8518,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8515,c_749]) ).
tcf(c_10203,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,domain(h))
| ~ product(h,X0,X1)
| ~ defined(compose(d,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_4376,c_76]) ).
tcf(c_10795,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(codomain(X0))
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_814,c_4277]) ).
tcf(c_10802,plain,
( ( domain(a) = h )
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_2186,c_4277]) ).
tcf(c_10843,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ defined(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10795,c_83]) ).
tcf(c_11039,plain,
domain(a) = codomain(b),
inference(superposition,[status(thm)],[c_685,c_10843]) ).
tcf(c_11277,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_11039,c_814]) ).
tcf(c_11736,plain,
( ( domain(b) = domain(c) )
| ~ identity_map(domain(c)) ),
inference(superposition,[status(thm)],[c_742,c_4290]) ).
tcf(c_11743,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_1042,c_4290]) ).
tcf(c_11776,plain,
domain(b) = domain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_11736,c_82]) ).
tcf(c_11811,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ defined(c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11743,c_83]) ).
tcf(c_12242,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_11776,c_876]) ).
tcf(c_13013,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_715,c_12242]) ).
tcf(c_13942,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_14238,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_76]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ identity_map(X3)
| ~ defined(X3,X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_76]) ).
tcf(c_14282,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_14328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(codomain(X0),X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_77]) ).
tcf(c_14856,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_14238,c_74,c_768]) ).
tcf(c_14863,plain,
defined(codomain(c),d),
inference(superposition,[status(thm)],[c_94,c_14856]) ).
tcf(c_15008,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_14282,c_74,c_1162]) ).
tcf(c_15015,plain,
defined(d,domain(h)),
inference(superposition,[status(thm)],[c_94,c_15008]) ).
tcf(c_15016,plain,
defined(d,domain(g)),
inference(superposition,[status(thm)],[c_95,c_15008]) ).
tcf(c_15054,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_15015,c_81]) ).
tcf(c_15057,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15054,c_82]) ).
tcf(c_15061,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_15016,c_81]) ).
tcf(c_15064,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15061,c_82]) ).
tcf(c_15132,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_13942,c_15057]) ).
tcf(c_15989,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_8518,c_714]) ).
tcf(c_16020,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15989,c_749]) ).
tcf(c_16531,plain,
! [X0: $i] :
( product(d,domain(g),X0)
| ~ product(c,g,d)
| ~ product(c,g,X0)
| ~ product(g,domain(g),g) ),
inference(instantiation,[status(thm)],[c_4134]) ).
tcf(c_16714,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_768,c_74,c_768]) ).
tcf(c_16720,plain,
defined(codomain(a),c),
inference(superposition,[status(thm)],[c_93,c_16714]) ).
tcf(c_16741,plain,
defined(codomain(c),d),
inference(superposition,[status(thm)],[c_4593,c_16714]) ).
tcf(c_16777,plain,
product(c,g,compose(codomain(c),d)),
inference(backward_subsumption_resolution,[status(thm)],[c_4861,c_16741]) ).
tcf(c_16825,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_16741,c_1051]) ).
tcf(c_16880,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_13942,c_15064]) ).
tcf(c_16984,plain,
! [X0: $i] :
( product(codomain(a),c,X0)
| ~ product(a,b,X0) ),
inference(superposition,[status(thm)],[c_93,c_14328]) ).
tcf(c_17018,plain,
( product(codomain(a),c,a)
| ~ product(a,b,a) ),
inference(instantiation,[status(thm)],[c_16984]) ).
tcf(c_17030,plain,
compose(codomain(c),d) = d,
inference(superposition,[status(thm)],[c_16777,c_907]) ).
tcf(c_17171,plain,
( product(codomain(c),d,d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_17030,c_73]) ).
tcf(c_17172,plain,
product(codomain(c),d,d),
inference(forward_subsumption_resolution,[status(thm)],[c_17171,c_16741]) ).
tcf(c_17686,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_715,c_16825]) ).
tcf(c_18530,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,X1)),X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_812]) ).
tcf(c_18718,plain,
( defined(codomain(d),codomain(c))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_17030,c_18530]) ).
tcf(c_18750,plain,
defined(codomain(d),codomain(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_18718,c_16741]) ).
tcf(c_18976,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_18750,c_81]) ).
tcf(c_18982,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18976,c_83]) ).
tcf(c_19191,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_814,c_18982]) ).
tcf(c_19283,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1162,c_15008]) ).
tcf(c_19290,plain,
defined(d,domain(h)),
inference(superposition,[status(thm)],[c_94,c_19283]) ).
tcf(c_19292,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,X1),domain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_19283]) ).
tcf(c_19310,plain,
defined(d,domain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_4593,c_19283]) ).
tcf(c_19348,plain,
( product(c,h,domain(h))
| ~ identity_map(d) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4377,c_19290]) ).
tcf(c_19349,plain,
product(c,h,compose(d,domain(h))),
inference(backward_subsumption_resolution,[status(thm)],[c_4376,c_19290]) ).
tcf(c_19533,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(compose(g,domain(d))))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_19310,c_81]) ).
tcf(c_19548,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19533,c_82]) ).
tcf(c_19569,plain,
compose(d,domain(h)) = d,
inference(superposition,[status(thm)],[c_19349,c_906]) ).
tcf(c_19675,plain,
( product(d,domain(h),d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_19569,c_73]) ).
tcf(c_19679,plain,
product(d,domain(h),d),
inference(forward_subsumption_resolution,[status(thm)],[c_19675,c_19290]) ).
tcf(c_19816,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_19348,c_75]) ).
tcf(c_21481,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_17686,c_1371]) ).
tcf(c_23229,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_715,c_19548]) ).
tcf(c_24372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = d )
| ~ product(X0,X1,d)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_25539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ identity_map(X3)
| ~ defined(X3,X0)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_14239,c_74,c_769]) ).
tcf(c_25554,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_87,c_25539]) ).
tcf(c_27342,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(h),X0) ),
inference(global_subsumption_just,[status(thm)],[c_19816,c_712,c_15057]) ).
tcf(c_28301,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_21481,c_4042]) ).
tcf(c_28426,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28301,c_16720]) ).
tcf(c_29809,plain,
( product(d,domain(g),d)
| ~ product(c,g,d)
| ~ product(g,domain(g),g) ),
inference(instantiation,[status(thm)],[c_16531]) ).
tcf(c_31192,plain,
! [X0: $i] :
( ( c = X0 )
| ( c != c )
| ( X0 != c ) ),
inference(instantiation,[status(thm)],[c_6725]) ).
tcf(c_31193,plain,
( ( c = a )
| ( c != c )
| ( a != c ) ),
inference(instantiation,[status(thm)],[c_31192]) ).
tcf(c_35598,plain,
! [X0: $i,X1: $i] :
( ( h = domain(X0) )
| ~ product(a,h,X1)
| ~ product(a,domain(X0),X1) ),
inference(instantiation,[status(thm)],[c_1499]) ).
tcf(c_35603,plain,
( ( h = domain(a) )
| ~ product(a,h,a)
| ~ product(a,domain(a),a) ),
inference(instantiation,[status(thm)],[c_35598]) ).
tcf(c_36421,plain,
! [X0: $i] :
( ( h = domain(X0) )
| ( h != h )
| ( domain(X0) != h ) ),
inference(instantiation,[status(thm)],[c_5423]) ).
tcf(c_36425,plain,
( ( h = domain(a) )
| ( h != h )
| ( domain(a) != h ) ),
inference(instantiation,[status(thm)],[c_36421]) ).
tcf(c_39091,plain,
! [X0: $i] :
( product(c,compose(g,X0),X0)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4887,c_4887,c_16880]) ).
tcf(c_39100,plain,
( product(c,g,domain(g))
| ~ identity_map(d)
| ~ defined(g,domain(g)) ),
inference(superposition,[status(thm)],[c_3055,c_39091]) ).
tcf(c_39126,plain,
( product(c,g,domain(g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39100,c_84]) ).
tcf(c_39824,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_39126,c_75]) ).
tcf(c_40055,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(g),X0) ),
inference(global_subsumption_just,[status(thm)],[c_39824,c_713,c_15064]) ).
tcf(c_40191,plain,
domain(b) = codomain(g),
inference(superposition,[status(thm)],[c_687,c_11811]) ).
tcf(c_40474,plain,
( product(a,h,a)
| ~ identity_map(h)
| ~ defined(a,h) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_40485,plain,
( product(a,b,a)
| ~ identity_map(b)
| ~ defined(a,b) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_51352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = d )
| ~ product(X0,domain(X1),d)
| ~ product(X0,domain(X1),X2) ),
inference(instantiation,[status(thm)],[c_24372]) ).
tcf(c_51354,plain,
( ( a = d )
| ~ product(a,domain(a),d)
| ~ product(a,domain(a),a) ),
inference(instantiation,[status(thm)],[c_51352]) ).
tcf(c_54640,plain,
( defined(d,domain(domain(d)))
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_19292,c_23229]) ).
tcf(c_54647,plain,
defined(d,domain(domain(d))),
inference(forward_subsumption_resolution,[status(thm)],[c_54640,c_754]) ).
tcf(c_57850,plain,
! [X0: $i] :
( defined(compose(X0,c),h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_1864,c_810,c_1864]) ).
tcf(c_58531,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_2120,c_810,c_2120]) ).
tcf(c_68232,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_718]) ).
tcf(c_68233,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(X1)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_85,c_718]) ).
tcf(c_74911,plain,
! [X0: $i] :
( defined(X0,X0)
| ~ identity_map(X0) ),
inference(superposition,[status(thm)],[c_85,c_68233]) ).
tcf(c_74923,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(codomain(X1))
| ~ identity_map(domain(X0))
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_68232,c_68233]) ).
tcf(c_74946,plain,
! [X0: $i] :
( defined(domain(a),X0)
| ~ identity_map(domain(a))
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_11277,c_68233]) ).
tcf(c_74960,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_19191,c_68233]) ).
tcf(c_75050,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74960,c_83]) ).
tcf(c_75056,plain,
! [X0: $i] :
( defined(domain(a),X0)
| ~ defined(codomain(X0),b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74946,c_82]) ).
tcf(c_75134,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,codomain(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74923,c_83,c_82]) ).
tcf(c_75708,plain,
( defined(b,c)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_74911,c_711]) ).
tcf(c_75711,plain,
( ( domain(b) = b )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_74911,c_4290]) ).
tcf(c_105929,plain,
! [X0: $i] :
( defined(codomain(domain(X0)),d)
| ~ identity_map(codomain(c))
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_68232,c_75050]) ).
tcf(c_105939,plain,
( defined(codomain(codomain(d)),d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_21481,c_75050]) ).
tcf(c_105967,plain,
defined(codomain(codomain(d)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_105939,c_85]) ).
tcf(c_105986,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ identity_map(codomain(c))
| ~ defined(X0,codomain(c)) ),
inference(light_normalisation,[status(thm)],[c_105929,c_3917]) ).
tcf(c_105987,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,codomain(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105986,c_83]) ).
tcf(c_106429,plain,
( defined(domain(a),g)
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_40191,c_75056]) ).
tcf(c_138327,plain,
! [X0: $i,X1: $i] :
( defined(d,X0)
| ~ product(d,X0,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_138329,plain,
! [X0: $i,X1: $i] :
( defined(g,X0)
| ~ product(g,X0,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_138331,plain,
! [X0: $i,X1: $i] :
( defined(h,X0)
| ~ product(h,X0,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_138333,plain,
! [X0: $i,X1: $i] :
( defined(b,X0)
| ~ product(b,X0,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_141014,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X1)
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_84,c_815]) ).
tcf(c_148233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(a,h,X0)
| ~ product(X2,X3,X1)
| ( h != X3 )
| ( a != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_149433,plain,
! [X0: $i] :
( defined(domain(X0),X0)
| ~ identity_map(X0) ),
inference(superposition,[status(thm)],[c_3124,c_141014]) ).
tcf(c_151315,plain,
( defined(domain(a),g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_149433,c_106429]) ).
tcf(c_152864,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(a,h,X0)
| ~ product(X2,h,X1)
| ( h != h )
| ( a != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_148233]) ).
tcf(c_163138,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_25554,c_876,c_75134]) ).
tcf(c_168704,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ product(h,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_10203,c_764,c_15132,c_138331]) ).
tcf(c_178078,plain,
! [X0: $i] :
( product(a,h,X0)
| ~ product(c,h,d)
| ( h != h )
| ( a != c )
| ( X0 != d ) ),
inference(instantiation,[status(thm)],[c_152864]) ).
tcf(c_178079,plain,
( product(a,h,a)
| ~ product(c,h,d)
| ( h != h )
| ( a != d )
| ( a != c ) ),
inference(instantiation,[status(thm)],[c_178078]) ).
tcf(c_184413,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ product(b,X0,b) ),
inference(superposition,[status(thm)],[c_86,c_92]) ).
tcf(c_184420,plain,
defined(a,b),
inference(superposition,[status(thm)],[c_93,c_74]) ).
tcf(c_184421,plain,
defined(c,h),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_184422,plain,
defined(c,g),
inference(superposition,[status(thm)],[c_95,c_74]) ).
tcf(c_184463,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_89,c_184413]) ).
tcf(c_184477,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_184504,plain,
defined(b,domain(c)),
inference(superposition,[status(thm)],[c_84,c_184477]) ).
tcf(c_184505,plain,
defined(b,h),
inference(superposition,[status(thm)],[c_184421,c_184477]) ).
tcf(c_184506,plain,
defined(b,g),
inference(superposition,[status(thm)],[c_184422,c_184477]) ).
tcf(c_184555,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_184420,c_81]) ).
tcf(c_184594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,X1) = X2 )
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_73,c_90]) ).
tcf(c_184653,plain,
( ( domain(b) = domain(c) )
| ~ identity_map(domain(c)) ),
inference(superposition,[status(thm)],[c_184504,c_184463]) ).
tcf(c_184660,plain,
domain(b) = domain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_184653,c_82]) ).
tcf(c_184662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,X1) = X2 )
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_184594,c_74,c_908]) ).
tcf(c_184672,plain,
! [X0: $i] : compose(X0,domain(X0)) = X0,
inference(superposition,[status(thm)],[c_86,c_184662]) ).
tcf(c_184674,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,X1) = X1 )
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_184662]) ).
tcf(c_184688,plain,
! [X0: $i] :
( ( compose(X0,domain(X0)) = domain(X0) )
| ~ identity_map(X0) ),
inference(superposition,[status(thm)],[c_84,c_184674]) ).
tcf(c_184708,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0) ),
inference(light_normalisation,[status(thm)],[c_184688,c_184672]) ).
tcf(c_184722,plain,
product(c,domain(b),c),
inference(superposition,[status(thm)],[c_184660,c_86]) ).
tcf(c_184762,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,X0)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_76]) ).
tcf(c_184764,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_184767,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_76]) ).
tcf(c_184917,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(b),X2)
| ~ product(X0,c,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_184722,c_80]) ).
tcf(c_185132,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_184767,c_74,c_768]) ).
tcf(c_185138,plain,
defined(codomain(a),c),
inference(superposition,[status(thm)],[c_93,c_185132]) ).
tcf(c_185160,plain,
( ( compose(codomain(a),c) = c )
| ~ identity_map(codomain(a)) ),
inference(superposition,[status(thm)],[c_185138,c_184674]) ).
tcf(c_185166,plain,
compose(codomain(a),c) = c,
inference(forward_subsumption_resolution,[status(thm)],[c_185160,c_83]) ).
tcf(c_185335,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_184708]) ).
tcf(c_185480,plain,
! [X0: $i] : product(codomain(X0),codomain(X0),codomain(X0)),
inference(superposition,[status(thm)],[c_185335,c_86]) ).
tcf(c_185525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(codomain(X0),X2,X3)
| ~ product(codomain(X0),X1,X3)
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_185480,c_77]) ).
tcf(c_185631,plain,
( product(codomain(a),c,c)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_185166,c_73]) ).
tcf(c_185632,plain,
product(codomain(a),c,c),
inference(forward_subsumption_resolution,[status(thm)],[c_185631,c_185138]) ).
tcf(c_185637,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(a),X1,X2)
| ~ product(c,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_185632,c_77]) ).
tcf(c_187306,plain,
( defined(a,h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_184505,c_184555]) ).
tcf(c_187307,plain,
( defined(a,g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_184506,c_184555]) ).
tcf(c_187417,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_187306,c_81]) ).
tcf(c_187434,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_187307,c_81]) ).
tcf(c_188760,plain,
! [X0: $i] :
( product(c,domain(b),X0)
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_87,c_184917]) ).
tcf(c_192877,plain,
( product(c,domain(b),codomain(c))
| ~ identity_map(c)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_89,c_188760]) ).
tcf(c_192879,plain,
( product(c,domain(b),codomain(c))
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192877,c_85]) ).
tcf(c_192899,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(c)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_192879,c_78]) ).
tcf(c_193135,plain,
! [X0: $i] :
( product(codomain(a),X0,d)
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_94,c_185637]) ).
tcf(c_193193,plain,
! [X0: $i,X1: $i] :
( product(codomain(a),d,X1)
| ~ product(c,h,X0)
| ~ product(codomain(a),X0,X1) ),
inference(superposition,[status(thm)],[c_193135,c_185525]) ).
tcf(c_193297,plain,
( product(codomain(a),d,a)
| ~ product(c,h,a)
| ~ product(codomain(a),a,a) ),
inference(instantiation,[status(thm)],[c_193193]) ).
tcf(c_194201,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,codomain(c)) ),
inference(global_subsumption_just,[status(thm)],[c_192899,c_1973,c_105987]) ).
tcf(c_194585,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ product(b,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_184762,c_763,c_13013,c_138333]) ).
tcf(c_195587,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ product(g,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_184764,c_765,c_16880,c_138329]) ).
tcf(c_217042,plain,
! [X0: $i,X1: $i] :
( identity_map(X0)
| ~ identity_map(domain(X1))
| ( X0 != domain(X1) ) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_217044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(X1,domain(X1),X1)
| ( X3 != X1 )
| ( X2 != domain(X1) )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_217124,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(X0),X2)
| ~ product(X0,domain(X0),X0)
| ( X2 != X0 )
| ( X1 != X0 )
| ( domain(X0) != domain(X0) ) ),
inference(instantiation,[status(thm)],[c_217044]) ).
tcf(c_217217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X3,X2,X5)
| ~ product(X4,X1,X5)
| ~ product(X3,domain(X0),X4)
| ~ product(domain(X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_218448,plain,
! [X0: $i,X1: $i] :
( product(X1,domain(X0),c)
| ~ product(X0,domain(X0),X0)
| ( c != X0 )
| ( X1 != X0 )
| ( domain(X0) != domain(X0) ) ),
inference(instantiation,[status(thm)],[c_217124]) ).
tcf(c_218449,plain,
( product(a,domain(a),c)
| ~ product(a,domain(a),a)
| ( c != a )
| ( a != a )
| ( domain(a) != domain(a) ) ),
inference(instantiation,[status(thm)],[c_218448]) ).
tcf(c_219247,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,d)
| ~ product(c,g,d)
| ~ product(X2,domain(X0),c)
| ~ product(domain(X0),g,X1) ),
inference(instantiation,[status(thm)],[c_217217]) ).
tcf(c_228805,plain,
! [X0: $i] :
( product(domain(X0),g,domain(X0))
| ~ identity_map(g)
| ~ defined(domain(X0),g) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_228806,plain,
! [X0: $i,X1: $i] :
( product(X1,domain(X0),d)
| ~ product(c,g,d)
| ~ product(X1,domain(X0),c)
| ~ product(domain(X0),g,domain(X0)) ),
inference(instantiation,[status(thm)],[c_219247]) ).
tcf(c_228807,plain,
( product(domain(a),g,domain(a))
| ~ identity_map(g)
| ~ defined(domain(a),g) ),
inference(instantiation,[status(thm)],[c_228805]) ).
tcf(c_228808,plain,
( product(a,domain(a),d)
| ~ product(c,g,d)
| ~ product(a,domain(a),c)
| ~ product(domain(a),g,domain(a)) ),
inference(instantiation,[status(thm)],[c_228806]) ).
tcf(c_231079,plain,
! [X0: $i,X1: $i] :
( product(c,h,X0)
| ~ product(X1,domain(X1),X1)
| ( h != domain(X1) )
| ( c != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_217044]) ).
tcf(c_231080,plain,
( product(c,h,a)
| ~ product(a,domain(a),a)
| ( h != domain(a) )
| ( c != a )
| ( a != a ) ),
inference(instantiation,[status(thm)],[c_231079]) ).
tcf(c_232965,plain,
! [X0: $i] :
( identity_map(h)
| ~ identity_map(domain(X0))
| ( h != domain(X0) ) ),
inference(instantiation,[status(thm)],[c_217042]) ).
tcf(c_232966,plain,
( identity_map(h)
| ~ identity_map(domain(a))
| ( h != domain(a) ) ),
inference(instantiation,[status(thm)],[c_232965]) ).
tcf(c_303039,plain,
( ~ identity_map(b)
| ~ identity_map(h) ),
inference(global_subsumption_just,[status(thm)],[c_187417,c_95,c_96,c_101,c_102,c_391,c_685,c_834,c_1315,c_1530,c_1670,c_2186,c_3768,c_10802,c_17018,c_31193,c_36425,c_40474,c_40485,c_193297,c_231080]) ).
tcf(c_303040,plain,
( ~ identity_map(h)
| ~ identity_map(b) ),
inference(renaming,[status(thm)],[c_303039]) ).
tcf(c_303045,plain,
( ~ identity_map(b)
| ~ identity_map(g) ),
inference(global_subsumption_just,[status(thm)],[c_187434,c_98,c_95,c_94,c_102,c_391,c_1315,c_1530,c_1670,c_1998,c_31193,c_35603,c_51354,c_151315,c_178079,c_218449,c_228807,c_228808,c_232966,c_303040]) ).
tcf(c_303046,plain,
( ~ identity_map(g)
| ~ identity_map(b) ),
inference(renaming,[status(thm)],[c_303045]) ).
tcf(c_307049,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X1)
| ~ product(domain(X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_309689,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,codomain(X1))
| ~ product(X0,codomain(X1),X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_355191,plain,
defined(a,b),
inference(superposition,[status(thm)],[c_93,c_74]) ).
tcf(c_355192,plain,
defined(c,h),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_355193,plain,
defined(c,g),
inference(superposition,[status(thm)],[c_95,c_74]) ).
tcf(c_355217,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_355218,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_94,c_75]) ).
tcf(c_355219,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_95,c_75]) ).
tcf(c_355220,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_75]) ).
tcf(c_355221,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_355224,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_355244,plain,
defined(b,domain(c)),
inference(superposition,[status(thm)],[c_84,c_355217]) ).
tcf(c_355245,plain,
defined(b,h),
inference(superposition,[status(thm)],[c_355192,c_355217]) ).
tcf(c_355246,plain,
defined(b,g),
inference(superposition,[status(thm)],[c_355193,c_355217]) ).
tcf(c_355251,plain,
defined(h,domain(d)),
inference(superposition,[status(thm)],[c_84,c_355218]) ).
tcf(c_355256,plain,
defined(g,domain(d)),
inference(superposition,[status(thm)],[c_84,c_355219]) ).
tcf(c_355265,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,X0)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_76]) ).
tcf(c_355266,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_76]) ).
tcf(c_355267,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_355268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X0,X3)
| ~ defined(X0,X1)
| ~ product(X1,X2,X3)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_76]) ).
tcf(c_355269,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(X0,X1)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_76]) ).
tcf(c_355270,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_76]) ).
tcf(c_355271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ identity_map(X3)
| ~ defined(X3,X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_76]) ).
tcf(c_355272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ identity_map(X0)
| ~ defined(X3,X1)
| ~ defined(X3,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_89,c_76]) ).
tcf(c_355308,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_355309,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_94,c_78]) ).
tcf(c_355311,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X1)
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_73,c_78]) ).
tcf(c_355313,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_355314,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ identity_map(X0)
| ~ defined(X2,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_78]) ).
tcf(c_355337,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_84,c_81]) ).
tcf(c_355338,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_81]) ).
tcf(c_355339,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_355191,c_81]) ).
tcf(c_355340,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355192,c_81]) ).
tcf(c_355341,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355193,c_81]) ).
tcf(c_355342,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_355244,c_81]) ).
tcf(c_355343,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355245,c_81]) ).
tcf(c_355344,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355246,c_81]) ).
tcf(c_355345,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355251,c_81]) ).
tcf(c_355364,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355345,c_82]) ).
tcf(c_355367,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355342,c_82]) ).
tcf(c_355370,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355337,c_82]) ).
tcf(c_355383,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(a,b,X0) ),
inference(superposition,[status(thm)],[c_93,c_90]) ).
tcf(c_355384,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_94,c_90]) ).
tcf(c_355385,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_355386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,X1) = X2 )
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_73,c_90]) ).
tcf(c_355387,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(X0,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_90]) ).
tcf(c_355388,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(codomain(X0),X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_90]) ).
tcf(c_355389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ identity_map(X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_355390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ identity_map(X1)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_89,c_90]) ).
tcf(c_355428,plain,
! [X0: $i] :
( ( X0 = b )
| ~ product(a,X0,c) ),
inference(superposition,[status(thm)],[c_93,c_91]) ).
tcf(c_355429,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(a,X1)
| ~ product(a,X0,compose(a,X1)) ),
inference(superposition,[status(thm)],[c_73,c_91]) ).
tcf(c_355430,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ product(a,X0,a) ),
inference(superposition,[status(thm)],[c_86,c_91]) ).
tcf(c_355431,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_355432,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(X1)
| ~ defined(a,X1)
| ~ product(a,X0,a) ),
inference(superposition,[status(thm)],[c_89,c_91]) ).
tcf(c_355448,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355256,c_81]) ).
tcf(c_355449,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355448,c_82]) ).
tcf(c_355456,plain,
defined(codomain(c),a),
inference(superposition,[status(thm)],[c_85,c_355308]) ).
tcf(c_355458,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355456,c_81]) ).
tcf(c_355466,plain,
defined(codomain(d),c),
inference(superposition,[status(thm)],[c_85,c_355309]) ).
tcf(c_355472,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355466,c_81]) ).
tcf(c_355473,plain,
defined(codomain(d),a),
inference(superposition,[status(thm)],[c_355466,c_355308]) ).
tcf(c_355477,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355473,c_81]) ).
tcf(c_355485,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355221,c_81]) ).
tcf(c_355486,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355221,c_355308]) ).
tcf(c_355487,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355221,c_355309]) ).
tcf(c_355500,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(codomain(X0))
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_81]) ).
tcf(c_355501,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355217]) ).
tcf(c_355502,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355219]) ).
tcf(c_355503,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355218]) ).
tcf(c_355510,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355500,c_83]) ).
tcf(c_355522,plain,
defined(h,domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_355364]) ).
tcf(c_355524,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355364]) ).
tcf(c_355527,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355522,c_81]) ).
tcf(c_355528,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355527,c_82]) ).
tcf(c_355544,plain,
defined(b,domain(domain(c))),
inference(superposition,[status(thm)],[c_84,c_355367]) ).
tcf(c_355546,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355367]) ).
tcf(c_355549,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(c)))
| ~ defined(domain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_355544,c_81]) ).
tcf(c_355550,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(c)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355549,c_82]) ).
tcf(c_355553,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ product(h,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_355266,c_168704]) ).
tcf(c_355559,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_73,c_355553]) ).
tcf(c_355571,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(b,X1)
| ~ product(b,X0,compose(b,X1)) ),
inference(superposition,[status(thm)],[c_73,c_92]) ).
tcf(c_355572,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ product(b,X0,b) ),
inference(superposition,[status(thm)],[c_86,c_92]) ).
tcf(c_355573,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(b)
| ~ defined(b,X1)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_355574,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(X1)
| ~ defined(b,X1)
| ~ product(b,X0,b) ),
inference(superposition,[status(thm)],[c_89,c_92]) ).
tcf(c_355604,plain,
! [X0: $i,X1: $i] :
( defined(X1,b)
| ~ defined(X0,c)
| ~ product(X0,a,X1) ),
inference(superposition,[status(thm)],[c_93,c_79]) ).
tcf(c_355605,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_94,c_79]) ).
tcf(c_355606,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_95,c_79]) ).
tcf(c_355607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ defined(X1,X2)
| ~ product(X0,X1,X3)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_73,c_79]) ).
tcf(c_355608,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_355609,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X0,X1)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_87,c_79]) ).
tcf(c_355610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ identity_map(X1)
| ~ defined(X1,X3)
| ~ defined(X0,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_355611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ identity_map(X3)
| ~ defined(X1,X3)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_89,c_79]) ).
tcf(c_355652,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(a,X1,X2)
| ~ product(c,X0,X2)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_77]) ).
tcf(c_355653,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ product(d,X0,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_77]) ).
tcf(c_355654,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ product(g,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_77]) ).
tcf(c_355655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X0,X4,X3)
| ~ defined(X0,X1)
| ~ product(X1,X2,X4)
| ~ product(compose(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_73,c_77]) ).
tcf(c_355656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(X0,X1,X3)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_77]) ).
tcf(c_355657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(codomain(X0),X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_77]) ).
tcf(c_355658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X4,X2,X3)
| ~ identity_map(X4)
| ~ defined(X4,X0)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_77]) ).
tcf(c_355659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X0,X4,X2)
| ~ identity_map(X3)
| ~ defined(X0,X3)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_89,c_77]) ).
tcf(c_355713,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,b,X2)
| ~ product(X0,c,X2)
| ~ product(X0,a,X1) ),
inference(superposition,[status(thm)],[c_93,c_80]) ).
tcf(c_355714,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,h,X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_94,c_80]) ).
tcf(c_355715,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_355716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X4,X2,X3)
| ~ defined(X1,X2)
| ~ product(X0,X1,X4)
| ~ product(X0,compose(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_73,c_80]) ).
tcf(c_355717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,domain(X1),X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_80]) ).
tcf(c_355718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X1,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_87,c_80]) ).
tcf(c_355719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,X3,X4)
| ~ identity_map(X1)
| ~ defined(X1,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_80]) ).
tcf(c_355720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,X4,X3)
| ~ identity_map(X4)
| ~ defined(X1,X4)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_89,c_80]) ).
tcf(c_355772,plain,
! [X0: $i] : defined(X0,domain(domain(X0))),
inference(superposition,[status(thm)],[c_84,c_355370]) ).
tcf(c_355774,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_355370]) ).
tcf(c_355782,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(X0)))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_355772,c_81]) ).
tcf(c_355783,plain,
! [X0: $i] : defined(X0,domain(domain(domain(X0)))),
inference(superposition,[status(thm)],[c_355772,c_355370]) ).
tcf(c_355785,plain,
defined(g,domain(domain(d))),
inference(superposition,[status(thm)],[c_355772,c_355219]) ).
tcf(c_355787,plain,
defined(b,domain(domain(domain(c)))),
inference(superposition,[status(thm)],[c_355772,c_355367]) ).
tcf(c_355788,plain,
defined(h,domain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_355772,c_355364]) ).
tcf(c_355789,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355782,c_82]) ).
tcf(c_355828,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355785,c_81]) ).
tcf(c_355829,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355828,c_82]) ).
tcf(c_355840,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(domain(X0))))
| ~ defined(domain(domain(domain(X0))),X1) ),
inference(superposition,[status(thm)],[c_355783,c_81]) ).
tcf(c_355841,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(X0))))),
inference(superposition,[status(thm)],[c_355783,c_355370]) ).
tcf(c_355843,plain,
defined(g,domain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_355783,c_355219]) ).
tcf(c_355845,plain,
defined(b,domain(domain(domain(domain(c))))),
inference(superposition,[status(thm)],[c_355783,c_355367]) ).
tcf(c_355846,plain,
defined(h,domain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_355783,c_355364]) ).
tcf(c_355847,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(X0))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355840,c_82]) ).
tcf(c_355850,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(c))))
| ~ defined(domain(domain(domain(c))),X0) ),
inference(superposition,[status(thm)],[c_355787,c_81]) ).
tcf(c_355851,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(c))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355850,c_82]) ).
tcf(c_355863,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(domain(domain(d))))
| ~ defined(domain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_355788,c_81]) ).
tcf(c_355864,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355863,c_82]) ).
tcf(c_355867,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(domain(domain(d))))
| ~ defined(domain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_355843,c_81]) ).
tcf(c_355868,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355867,c_82]) ).
tcf(c_355871,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(domain(domain(X0)))))
| ~ defined(domain(domain(domain(domain(X0)))),X1) ),
inference(superposition,[status(thm)],[c_355841,c_81]) ).
tcf(c_355872,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(X0)))))),
inference(superposition,[status(thm)],[c_355841,c_355370]) ).
tcf(c_355874,plain,
defined(g,domain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_355841,c_355219]) ).
tcf(c_355876,plain,
defined(b,domain(domain(domain(domain(domain(c)))))),
inference(superposition,[status(thm)],[c_355841,c_355367]) ).
tcf(c_355877,plain,
defined(h,domain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_355841,c_355364]) ).
tcf(c_355878,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(domain(X0)))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355871,c_82]) ).
tcf(c_355888,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(domain(c)))))
| ~ defined(domain(domain(domain(domain(c)))),X0) ),
inference(superposition,[status(thm)],[c_355845,c_81]) ).
tcf(c_355889,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(c)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355888,c_82]) ).
tcf(c_355903,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(domain(domain(domain(d)))))
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_355846,c_81]) ).
tcf(c_355904,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355903,c_82]) ).
tcf(c_355907,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(domain(domain(domain(d)))))
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_355874,c_81]) ).
tcf(c_355908,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355907,c_82]) ).
tcf(c_355917,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355449]) ).
tcf(c_355920,plain,
defined(g,domain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_355841,c_355449]) ).
tcf(c_355923,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ product(g,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_355267,c_195587]) ).
tcf(c_355929,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_73,c_355923]) ).
tcf(c_355940,plain,
( ( compose(a,b) = c )
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_73,c_355383]) ).
tcf(c_355941,plain,
( ( b = c )
| ~ identity_map(a)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_88,c_355383]) ).
tcf(c_355942,plain,
( ( a = c )
| ~ identity_map(b)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_89,c_355383]) ).
tcf(c_355943,plain,
compose(a,b) = c,
inference(forward_subsumption_resolution,[status(thm)],[c_355940,c_355191]) ).
tcf(c_355944,plain,
( ( a = c )
| ~ identity_map(b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355942,c_355191]) ).
tcf(c_355947,plain,
( ( b = c )
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355941,c_355191]) ).
tcf(c_355970,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355486,c_81]) ).
tcf(c_355972,plain,
( defined(b,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_355486,c_355367]) ).
tcf(c_355973,plain,
( defined(g,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_355449]) ).
tcf(c_355974,plain,
( defined(h,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_355364]) ).
tcf(c_356006,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355487,c_81]) ).
tcf(c_356008,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355487,c_355308]) ).
tcf(c_356009,plain,
( defined(b,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_355487,c_355367]) ).
tcf(c_356010,plain,
( defined(g,c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_355449]) ).
tcf(c_356011,plain,
( defined(h,c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_355364]) ).
tcf(c_356096,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(codomain(X0))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355501,c_81]) ).
tcf(c_356097,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356096,c_83]) ).
tcf(c_356105,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355502,c_81]) ).
tcf(c_356106,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356105,c_83]) ).
tcf(c_356114,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355503,c_81]) ).
tcf(c_356115,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356114,c_83]) ).
tcf(c_356124,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(domain(domain(domain(X0))))))
| ~ defined(domain(domain(domain(domain(domain(X0))))),X1) ),
inference(superposition,[status(thm)],[c_355872,c_81]) ).
tcf(c_356125,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(domain(X0))))))),
inference(superposition,[status(thm)],[c_355872,c_355370]) ).
tcf(c_356129,plain,
defined(b,domain(domain(domain(domain(domain(domain(c))))))),
inference(superposition,[status(thm)],[c_355872,c_355367]) ).
tcf(c_356130,plain,
defined(g,domain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_355872,c_355449]) ).
tcf(c_356131,plain,
defined(h,domain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_355872,c_355364]) ).
tcf(c_356132,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(domain(domain(X0))))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356124,c_82]) ).
tcf(c_356140,plain,
( ( compose(c,h) = d )
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_73,c_355384]) ).
tcf(c_356141,plain,
( ( h = d )
| ~ identity_map(c)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_88,c_355384]) ).
tcf(c_356142,plain,
( ( c = d )
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_89,c_355384]) ).
tcf(c_356143,plain,
compose(c,h) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_356140,c_355192]) ).
tcf(c_356144,plain,
( ( c = d )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356142,c_355192]) ).
tcf(c_356147,plain,
( ( h = d )
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356141,c_355192]) ).
tcf(c_356180,plain,
( ( compose(c,g) = d )
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_73,c_355385]) ).
tcf(c_356181,plain,
( ( d = g )
| ~ identity_map(c)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_88,c_355385]) ).
tcf(c_356182,plain,
( ( c = d )
| ~ identity_map(g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_89,c_355385]) ).
tcf(c_356183,plain,
compose(c,g) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_356180,c_355193]) ).
tcf(c_356184,plain,
( ( c = d )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356182,c_355193]) ).
tcf(c_356187,plain,
( ( d = g )
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356181,c_355193]) ).
tcf(c_356207,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(domain(domain(c))))))
| ~ defined(domain(domain(domain(domain(domain(c))))),X0) ),
inference(superposition,[status(thm)],[c_355876,c_81]) ).
tcf(c_356208,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(domain(c))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356207,c_82]) ).
tcf(c_356211,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(domain(domain(domain(domain(d))))))
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_355877,c_81]) ).
tcf(c_356212,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356211,c_82]) ).
tcf(c_356215,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(domain(domain(domain(domain(d))))))
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_355920,c_81]) ).
tcf(c_356216,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356215,c_82]) ).
tcf(c_356223,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_356008,c_81]) ).
tcf(c_356224,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_356008,c_355370]) ).
tcf(c_356225,plain,
( defined(b,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_356008,c_355367]) ).
tcf(c_356226,plain,
( defined(g,a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_355449]) ).
tcf(c_356227,plain,
( defined(h,a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_355364]) ).
tcf(c_356275,plain,
! [X0: $i] :
( defined(compose(X0,c),h)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_355605]) ).
tcf(c_356278,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_355605]) ).
tcf(c_356292,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355528]) ).
tcf(c_356293,plain,
( defined(h,a)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_356008,c_355528]) ).
tcf(c_356294,plain,
( defined(h,a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_355486,c_355528]) ).
tcf(c_356295,plain,
( defined(h,c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_355487,c_355528]) ).
tcf(c_356299,plain,
defined(h,domain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_355872,c_355528]) ).
tcf(c_356341,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355550]) ).
tcf(c_356342,plain,
( defined(b,a)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_356008,c_355550]) ).
tcf(c_356343,plain,
( defined(b,a)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_355486,c_355550]) ).
tcf(c_356344,plain,
( defined(b,c)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_355487,c_355550]) ).
tcf(c_356348,plain,
defined(b,domain(domain(domain(domain(domain(domain(domain(c)))))))),
inference(superposition,[status(thm)],[c_355872,c_355550]) ).
tcf(c_356388,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(h,X0)
| ~ identity_map(compose(h,X0))
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_355559,c_81]) ).
tcf(c_356389,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355559,c_355217]) ).
tcf(c_356402,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_355313,c_355789]) ).
tcf(c_356403,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_356008,c_355789]) ).
tcf(c_356404,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_355486,c_355789]) ).
tcf(c_356405,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_355487,c_355789]) ).
tcf(c_356409,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(domain(domain(X0)))))))),
inference(superposition,[status(thm)],[c_355872,c_355789]) ).
tcf(c_356470,plain,
defined(h,codomain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_355524]) ).
tcf(c_356472,plain,
! [X0: $i] :
( defined(h,codomain(codomain(X0)))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355524]) ).
tcf(c_356473,plain,
( defined(h,codomain(a))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_355524]) ).
tcf(c_356474,plain,
( defined(h,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_355524]) ).
tcf(c_356475,plain,
( defined(h,codomain(c))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_355524]) ).
tcf(c_356476,plain,
defined(h,codomain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_355772,c_355524]) ).
tcf(c_356477,plain,
defined(h,codomain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_355783,c_355524]) ).
tcf(c_356478,plain,
defined(h,codomain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_355841,c_355524]) ).
tcf(c_356479,plain,
defined(h,codomain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_355872,c_355524]) ).
tcf(c_356546,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(domain(domain(d))))
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_356470,c_81]) ).
tcf(c_356547,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356546,c_83]) ).
tcf(c_356550,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(domain(domain(domain(d)))))
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_356476,c_81]) ).
tcf(c_356551,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356550,c_83]) ).
tcf(c_356560,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_355606]) ).
tcf(c_356563,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_355606]) ).
tcf(c_356577,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355829]) ).
tcf(c_356578,plain,
( defined(g,a)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_356008,c_355829]) ).
tcf(c_356579,plain,
( defined(g,a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_355486,c_355829]) ).
tcf(c_356580,plain,
( defined(g,c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_355487,c_355829]) ).
tcf(c_356584,plain,
defined(g,domain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_355872,c_355829]) ).
tcf(c_356597,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(g,X0)
| ~ identity_map(compose(g,X0))
| ~ defined(compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_355929,c_81]) ).
tcf(c_356598,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355929,c_355217]) ).
tcf(c_356611,plain,
( defined(a,domain(b))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_84,c_355339]) ).
tcf(c_356612,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355339]) ).
tcf(c_356613,plain,
( defined(a,domain(c))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355244,c_355339]) ).
tcf(c_356614,plain,
( defined(a,h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355245,c_355339]) ).
tcf(c_356615,plain,
( defined(a,g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355246,c_355339]) ).
tcf(c_356616,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355501,c_355339]) ).
tcf(c_356617,plain,
( defined(a,domain(domain(c)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355544,c_355339]) ).
tcf(c_356618,plain,
( defined(a,domain(domain(b)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355772,c_355339]) ).
tcf(c_356619,plain,
( defined(a,domain(domain(domain(b))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355783,c_355339]) ).
tcf(c_356620,plain,
( defined(a,domain(domain(domain(c))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355787,c_355339]) ).
tcf(c_356621,plain,
( defined(a,domain(domain(domain(domain(b)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355841,c_355339]) ).
tcf(c_356622,plain,
( defined(a,domain(domain(domain(domain(c)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355845,c_355339]) ).
tcf(c_356623,plain,
( defined(a,domain(domain(domain(domain(domain(b))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355872,c_355339]) ).
tcf(c_356624,plain,
( defined(a,domain(domain(domain(domain(domain(c))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355876,c_355339]) ).
tcf(c_356680,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_356611,c_81]) ).
tcf(c_356681,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356680,c_82]) ).
tcf(c_356689,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_356614,c_81]) ).
tcf(c_356698,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_356615,c_81]) ).
tcf(c_356709,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_356613,c_81]) ).
tcf(c_356710,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356709,c_82]) ).
tcf(c_356742,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_356473,c_81]) ).
tcf(c_356743,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356742,c_83]) ).
tcf(c_356786,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_356474,c_81]) ).
tcf(c_356787,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356786,c_83]) ).
tcf(c_356795,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_356475,c_81]) ).
tcf(c_356796,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356795,c_83]) ).
tcf(c_356800,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(domain(domain(domain(domain(d))))))
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_356477,c_81]) ).
tcf(c_356801,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356800,c_83]) ).
tcf(c_356825,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(domain(c)))
| ~ defined(domain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_356617,c_81]) ).
tcf(c_356826,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(domain(c)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356825,c_82]) ).
tcf(c_356834,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(domain(b)))
| ~ defined(domain(domain(b)),X0) ),
inference(superposition,[status(thm)],[c_356618,c_81]) ).
tcf(c_356835,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(domain(b)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356834,c_82]) ).
tcf(c_356845,plain,
! [X0: $i,X1: $i] :
( product(c,compose(h,X0),X1)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_355653]) ).
tcf(c_356846,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_86,c_355653]) ).
tcf(c_356847,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(h)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_355653]) ).
tcf(c_356848,plain,
! [X0: $i,X1: $i] :
( product(c,h,X1)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_355653]) ).
tcf(c_356889,plain,
( defined(c,domain(h))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_84,c_355340]) ).
tcf(c_356890,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355340]) ).
tcf(c_356891,plain,
( defined(c,domain(d))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355251,c_355340]) ).
tcf(c_356892,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355503,c_355340]) ).
tcf(c_356893,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356474,c_355340]) ).
tcf(c_356894,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356473,c_355340]) ).
tcf(c_356895,plain,
( defined(c,domain(domain(d)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355522,c_355340]) ).
tcf(c_356896,plain,
( defined(c,domain(domain(h)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355772,c_355340]) ).
tcf(c_356897,plain,
( defined(c,domain(domain(domain(h))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355783,c_355340]) ).
tcf(c_356898,plain,
( defined(c,domain(domain(domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355788,c_355340]) ).
tcf(c_356899,plain,
( defined(c,domain(domain(domain(domain(h)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355841,c_355340]) ).
tcf(c_356900,plain,
( defined(c,domain(domain(domain(domain(d)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355846,c_355340]) ).
tcf(c_356901,plain,
( defined(c,domain(domain(domain(domain(domain(h))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355872,c_355340]) ).
tcf(c_356902,plain,
( defined(c,domain(domain(domain(domain(domain(d))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355877,c_355340]) ).
tcf(c_356903,plain,
( defined(c,codomain(domain(domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356470,c_355340]) ).
tcf(c_356904,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356475,c_355340]) ).
tcf(c_356905,plain,
( defined(c,codomain(domain(domain(domain(d)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356476,c_355340]) ).
tcf(c_356906,plain,
( defined(c,codomain(domain(domain(domain(domain(d))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356477,c_355340]) ).
tcf(c_357012,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_356889,c_81]) ).
tcf(c_357013,plain,
( defined(b,domain(h))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356889,c_355217]) ).
tcf(c_357016,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357012,c_82]) ).
tcf(c_357044,plain,
( defined(c,domain(g))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_84,c_355341]) ).
tcf(c_357045,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355341]) ).
tcf(c_357046,plain,
( defined(c,domain(d))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355256,c_355341]) ).
tcf(c_357047,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355502,c_355341]) ).
tcf(c_357048,plain,
( defined(c,domain(domain(g)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355772,c_355341]) ).
tcf(c_357049,plain,
( defined(c,domain(domain(domain(g))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355783,c_355341]) ).
tcf(c_357050,plain,
( defined(c,domain(domain(d)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355785,c_355341]) ).
tcf(c_357051,plain,
( defined(c,domain(domain(domain(domain(g)))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355841,c_355341]) ).
tcf(c_357052,plain,
( defined(c,domain(domain(domain(d))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355843,c_355341]) ).
tcf(c_357053,plain,
( defined(c,domain(domain(domain(domain(domain(g))))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355872,c_355341]) ).
tcf(c_357054,plain,
( defined(c,domain(domain(domain(domain(d)))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355874,c_355341]) ).
tcf(c_357055,plain,
( defined(c,domain(domain(domain(domain(domain(d))))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355920,c_355341]) ).
tcf(c_357132,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_357044,c_81]) ).
tcf(c_357133,plain,
( defined(b,domain(g))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357044,c_355217]) ).
tcf(c_357136,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357132,c_82]) ).
tcf(c_357144,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_356891,c_81]) ).
tcf(c_357145,plain,
( defined(b,domain(d))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356891,c_355217]) ).
tcf(c_357148,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357144,c_82]) ).
tcf(c_357182,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_357013,c_81]) ).
tcf(c_357183,plain,
( defined(a,domain(h))
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357013,c_355339]) ).
tcf(c_357187,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357182,c_82]) ).
tcf(c_357195,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_357046,c_81]) ).
tcf(c_357196,plain,
( defined(b,domain(d))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357046,c_355217]) ).
tcf(c_357199,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357195,c_82]) ).
tcf(c_357230,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_357133,c_81]) ).
tcf(c_357231,plain,
( defined(a,domain(g))
| ~ identity_map(g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357133,c_355339]) ).
tcf(c_357235,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357230,c_82]) ).
tcf(c_357243,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_357145,c_81]) ).
tcf(c_357244,plain,
( defined(a,domain(d))
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357145,c_355339]) ).
tcf(c_357248,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357243,c_82]) ).
tcf(c_357256,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_357196,c_81]) ).
tcf(c_357257,plain,
( defined(a,domain(d))
| ~ identity_map(g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357196,c_355339]) ).
tcf(c_357261,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357256,c_82]) ).
tcf(c_357273,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_356895,c_81]) ).
tcf(c_357274,plain,
( defined(b,domain(domain(d)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356895,c_355217]) ).
tcf(c_357277,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357273,c_82]) ).
tcf(c_357290,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(domain(h)))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_356896,c_81]) ).
tcf(c_357291,plain,
( defined(b,domain(domain(h)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356896,c_355217]) ).
tcf(c_357294,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(domain(domain(h)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357290,c_82]) ).
tcf(c_357306,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(domain(g)))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_357048,c_81]) ).
tcf(c_357307,plain,
( defined(b,domain(domain(g)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357048,c_355217]) ).
tcf(c_357310,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(domain(domain(g)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357306,c_82]) ).
tcf(c_357335,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357050,c_81]) ).
tcf(c_357336,plain,
( defined(b,domain(domain(d)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357050,c_355217]) ).
tcf(c_357339,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357335,c_82]) ).
tcf(c_357352,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357274,c_81]) ).
tcf(c_357353,plain,
( defined(a,domain(domain(d)))
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357274,c_355339]) ).
tcf(c_357357,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357352,c_82]) ).
tcf(c_357387,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(domain(domain(h)))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_357291,c_81]) ).
tcf(c_357388,plain,
( defined(a,domain(domain(h)))
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357291,c_355339]) ).
tcf(c_357392,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(domain(domain(h)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357387,c_82]) ).
tcf(c_357402,plain,
! [X0: $i,X1: $i] :
( product(c,X1,compose(d,X0))
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_355654]) ).
tcf(c_357403,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_86,c_355654]) ).
tcf(c_357404,plain,
! [X0: $i,X1: $i] :
( product(c,X1,X0)
| ~ identity_map(d)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_355654]) ).
tcf(c_357405,plain,
! [X0: $i,X1: $i] :
( product(c,X1,d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_355654]) ).
tcf(c_357431,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355343]) ).
tcf(c_357433,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355503,c_355343]) ).
tcf(c_357434,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356474,c_355343]) ).
tcf(c_357435,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356473,c_355343]) ).
tcf(c_357438,plain,
( defined(b,domain(domain(domain(h))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355783,c_355343]) ).
tcf(c_357439,plain,
( defined(b,domain(domain(domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355788,c_355343]) ).
tcf(c_357440,plain,
( defined(b,domain(domain(domain(domain(h)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355841,c_355343]) ).
tcf(c_357441,plain,
( defined(b,domain(domain(domain(domain(d)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355846,c_355343]) ).
tcf(c_357442,plain,
( defined(b,domain(domain(domain(domain(domain(h))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355872,c_355343]) ).
tcf(c_357443,plain,
( defined(b,domain(domain(domain(domain(domain(d))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355877,c_355343]) ).
tcf(c_357444,plain,
( defined(b,codomain(domain(domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356470,c_355343]) ).
tcf(c_357445,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356475,c_355343]) ).
tcf(c_357446,plain,
( defined(b,codomain(domain(domain(domain(d)))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356476,c_355343]) ).
tcf(c_357447,plain,
( defined(b,codomain(domain(domain(domain(domain(d))))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356477,c_355343]) ).
tcf(c_357531,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355313,c_355344]) ).
tcf(c_357533,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355502,c_355344]) ).
tcf(c_357535,plain,
( defined(b,domain(domain(domain(g))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355783,c_355344]) ).
tcf(c_357537,plain,
( defined(b,domain(domain(domain(domain(g)))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355841,c_355344]) ).
tcf(c_357538,plain,
( defined(b,domain(domain(domain(d))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355843,c_355344]) ).
tcf(c_357539,plain,
( defined(b,domain(domain(domain(domain(domain(g))))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355872,c_355344]) ).
tcf(c_357540,plain,
( defined(b,domain(domain(domain(domain(d)))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355874,c_355344]) ).
tcf(c_357541,plain,
( defined(b,domain(domain(domain(domain(domain(d))))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355920,c_355344]) ).
tcf(c_357582,plain,
! [X0: $i] :
( ( compose(X0,domain(X0)) = X0 )
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_73,c_355387]) ).
tcf(c_357584,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_88,c_355387]) ).
tcf(c_357586,plain,
! [X0: $i] : compose(X0,domain(X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_357582,c_84]) ).
tcf(c_357587,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357584,c_84]) ).
tcf(c_357615,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(domain(domain(g)))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_357307,c_81]) ).
tcf(c_357616,plain,
( defined(a,domain(domain(g)))
| ~ identity_map(g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357307,c_355339]) ).
tcf(c_357620,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(domain(domain(g)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357615,c_82]) ).
tcf(c_357628,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357336,c_81]) ).
tcf(c_357629,plain,
( defined(a,domain(domain(d)))
| ~ identity_map(g)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357336,c_355339]) ).
tcf(c_357633,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357628,c_82]) ).
tcf(c_357641,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_357587]) ).
tcf(c_357642,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_357587]) ).
tcf(c_357664,plain,
defined(h,codomain(domain(d))),
inference(demodulation,[status(thm)],[c_356470,c_357641]) ).
tcf(c_357676,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357664,c_81]) ).
tcf(c_357677,plain,
( defined(b,codomain(domain(d)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_357664,c_355343]) ).
tcf(c_357678,plain,
( defined(c,codomain(domain(d)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_357664,c_355340]) ).
tcf(c_357683,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357676,c_83]) ).
tcf(c_357686,plain,
! [X0: $i] : compose(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_357641,c_357586]) ).
tcf(c_357687,plain,
! [X0: $i,X1: $i] :
( ( domain(X0) = X1 )
| ~ product(domain(X0),domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357641,c_355387]) ).
tcf(c_357690,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357641,c_356403]) ).
tcf(c_357692,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357641,c_355487]) ).
tcf(c_357693,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357641,c_355486]) ).
tcf(c_357696,plain,
! [X0: $i] : product(domain(X0),domain(X0),domain(X0)),
inference(superposition,[status(thm)],[c_357641,c_86]) ).
tcf(c_357697,plain,
! [X0: $i] : defined(domain(X0),domain(X0)),
inference(superposition,[status(thm)],[c_357641,c_84]) ).
tcf(c_357716,plain,
! [X0: $i] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_357642,c_357586]) ).
tcf(c_357717,plain,
! [X0: $i,X1: $i] :
( ( codomain(X0) = X1 )
| ~ product(codomain(X0),codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357642,c_355387]) ).
tcf(c_357720,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357642,c_356403]) ).
tcf(c_357722,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357642,c_355487]) ).
tcf(c_357723,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357642,c_355486]) ).
tcf(c_357726,plain,
! [X0: $i] : product(codomain(X0),codomain(X0),codomain(X0)),
inference(superposition,[status(thm)],[c_357642,c_86]) ).
tcf(c_357727,plain,
! [X0: $i] : defined(codomain(X0),codomain(X0)),
inference(superposition,[status(thm)],[c_357642,c_84]) ).
tcf(c_357744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,domain(X1),X3)
| ~ product(X0,domain(X1),X3)
| ~ product(X0,domain(X1),X2) ),
inference(superposition,[status(thm)],[c_357696,c_80]) ).
tcf(c_357745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(domain(X0),X2,X3)
| ~ product(domain(X0),X1,X3)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357696,c_77]) ).
tcf(c_357746,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ defined(X0,domain(X1))
| ~ product(X0,domain(X1),X2) ),
inference(superposition,[status(thm)],[c_357696,c_79]) ).
tcf(c_357749,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X2)
| ~ defined(domain(X0),X1)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357696,c_76]) ).
tcf(c_357764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,codomain(X1),X3)
| ~ product(X0,codomain(X1),X3)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_357726,c_80]) ).
tcf(c_357765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(codomain(X0),X2,X3)
| ~ product(codomain(X0),X1,X3)
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357726,c_77]) ).
tcf(c_357766,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ defined(X0,codomain(X1))
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_357726,c_79]) ).
tcf(c_357769,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(codomain(X0),X1)
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357726,c_76]) ).
tcf(c_357788,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357677,c_81]) ).
tcf(c_357789,plain,
( defined(a,codomain(domain(d)))
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_357677,c_355339]) ).
tcf(c_357793,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357788,c_83]) ).
tcf(c_357801,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_357678,c_81]) ).
tcf(c_357803,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357801,c_83]) ).
tcf(c_357816,plain,
defined(h,domain(codomain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_357683]) ).
tcf(c_357818,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357683]) ).
tcf(c_357827,plain,
! [X0: $i] :
( ( compose(codomain(X0),X0) = X0 )
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_73,c_355388]) ).
tcf(c_357830,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_89,c_355388]) ).
tcf(c_357831,plain,
! [X0: $i] : compose(codomain(X0),X0) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_357827,c_85]) ).
tcf(c_357832,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357830,c_85]) ).
tcf(c_357840,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_357832]) ).
tcf(c_357841,plain,
! [X0: $i] : codomain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_357832]) ).
tcf(c_357853,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_355503]) ).
tcf(c_357854,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_355502]) ).
tcf(c_357855,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ defined(c,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_355501]) ).
tcf(c_357871,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_355503]) ).
tcf(c_357872,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_355502]) ).
tcf(c_357873,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_355501]) ).
tcf(c_357904,plain,
defined(b,codomain(domain(domain(c)))),
inference(superposition,[status(thm)],[c_84,c_355546]) ).
tcf(c_357906,plain,
! [X0: $i] :
( defined(b,codomain(codomain(X0)))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355546]) ).
tcf(c_357907,plain,
( defined(b,codomain(a))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_356008,c_355546]) ).
tcf(c_357908,plain,
( defined(b,codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_355486,c_355546]) ).
tcf(c_357909,plain,
( defined(b,codomain(c))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_355487,c_355546]) ).
tcf(c_357910,plain,
defined(b,codomain(domain(c))),
inference(superposition,[status(thm)],[c_357697,c_355546]) ).
tcf(c_357924,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357907,c_81]) ).
tcf(c_357925,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357907,c_355339]) ).
tcf(c_357929,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357924,c_83]) ).
tcf(c_357937,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(a))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357908,c_81]) ).
tcf(c_357938,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357908,c_355339]) ).
tcf(c_357942,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357937,c_83]) ).
tcf(c_357950,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(c))
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_357909,c_81]) ).
tcf(c_357951,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357909,c_355339]) ).
tcf(c_357955,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357950,c_83]) ).
tcf(c_357963,plain,
! [X0: $i] : defined(X0,codomain(domain(domain(X0)))),
inference(superposition,[status(thm)],[c_84,c_355774]) ).
tcf(c_357965,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(codomain(X1)))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_355774]) ).
tcf(c_357966,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_356008,c_355774]) ).
tcf(c_357967,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355486,c_355774]) ).
tcf(c_357968,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355487,c_355774]) ).
tcf(c_357969,plain,
! [X0: $i] : defined(X0,codomain(domain(X0))),
inference(superposition,[status(thm)],[c_357697,c_355774]) ).
tcf(c_357970,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357641,c_355774]) ).
tcf(c_357971,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),codomain(X1))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357642,c_355774]) ).
tcf(c_358003,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(a))
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357966,c_81]) ).
tcf(c_358004,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(a)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_355774]) ).
tcf(c_358005,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_355370]) ).
tcf(c_358007,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357966,c_355339]) ).
tcf(c_358008,plain,
( defined(g,codomain(a))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_357966,c_355219]) ).
tcf(c_358010,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357966,c_355343]) ).
tcf(c_358011,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357966,c_355340]) ).
tcf(c_358012,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357966,c_355344]) ).
tcf(c_358013,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357966,c_355341]) ).
tcf(c_358014,plain,
( defined(b,codomain(codomain(a)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_355546]) ).
tcf(c_358015,plain,
( defined(b,codomain(a))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_355367]) ).
tcf(c_358016,plain,
( defined(h,codomain(codomain(a)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_355524]) ).
tcf(c_358017,plain,
( defined(g,codomain(a))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_355449]) ).
tcf(c_358018,plain,
( defined(h,codomain(a))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_355364]) ).
tcf(c_358050,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358003,c_83]) ).
tcf(c_358103,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(a))
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357967,c_81]) ).
tcf(c_358104,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(a)))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_355774]) ).
tcf(c_358105,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_355370]) ).
tcf(c_358107,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_357967,c_355339]) ).
tcf(c_358108,plain,
( defined(g,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357967,c_355219]) ).
tcf(c_358110,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_357967,c_355343]) ).
tcf(c_358111,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_357967,c_355340]) ).
tcf(c_358112,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357967,c_355344]) ).
tcf(c_358113,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357967,c_355341]) ).
tcf(c_358114,plain,
( defined(b,codomain(codomain(a)))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_355546]) ).
tcf(c_358115,plain,
( defined(b,codomain(a))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_355367]) ).
tcf(c_358116,plain,
( defined(h,codomain(codomain(a)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_355524]) ).
tcf(c_358117,plain,
( defined(g,codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_355449]) ).
tcf(c_358118,plain,
( defined(h,codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_355364]) ).
tcf(c_358150,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358103,c_83]) ).
tcf(c_358205,plain,
( ( domain(a) = a )
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_88,c_355430]) ).
tcf(c_358206,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_89,c_355430]) ).
tcf(c_358218,plain,
( ( domain(b) = b )
| ~ identity_map(b)
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_88,c_355572]) ).
tcf(c_358219,plain,
! [X0: $i] :
( ( domain(b) = X0 )
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_89,c_355572]) ).
tcf(c_358293,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(c))
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_357968,c_81]) ).
tcf(c_358294,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(c)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_355774]) ).
tcf(c_358295,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_355370]) ).
tcf(c_358297,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357968,c_355339]) ).
tcf(c_358298,plain,
( defined(g,codomain(c))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_357968,c_355219]) ).
tcf(c_358300,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357968,c_355343]) ).
tcf(c_358301,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357968,c_355340]) ).
tcf(c_358302,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357968,c_355344]) ).
tcf(c_358303,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357968,c_355341]) ).
tcf(c_358304,plain,
( defined(b,codomain(codomain(c)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357968,c_355546]) ).
tcf(c_358305,plain,
( defined(b,codomain(c))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357968,c_355367]) ).
tcf(c_358306,plain,
( defined(h,codomain(codomain(c)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_355524]) ).
tcf(c_358307,plain,
( defined(g,codomain(c))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_355449]) ).
tcf(c_358308,plain,
( defined(h,codomain(c))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_355364]) ).
tcf(c_358340,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358293,c_83]) ).
tcf(c_358425,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358008,c_81]) ).
tcf(c_358426,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358008,c_355344]) ).
tcf(c_358427,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358008,c_355341]) ).
tcf(c_358434,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358425,c_83]) ).
tcf(c_358474,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358108,c_81]) ).
tcf(c_358475,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358108,c_355344]) ).
tcf(c_358476,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358108,c_355341]) ).
tcf(c_358483,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358474,c_83]) ).
tcf(c_358497,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358298,c_81]) ).
tcf(c_358498,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358298,c_355344]) ).
tcf(c_358499,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358298,c_355341]) ).
tcf(c_358506,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358497,c_83]) ).
tcf(c_358517,plain,
defined(g,codomain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_355917]) ).
tcf(c_358519,plain,
! [X0: $i] :
( defined(g,codomain(codomain(X0)))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_355917]) ).
tcf(c_358523,plain,
defined(g,codomain(domain(d))),
inference(superposition,[status(thm)],[c_357697,c_355917]) ).
tcf(c_358524,plain,
( defined(g,codomain(codomain(a)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_355917]) ).
tcf(c_358525,plain,
( defined(g,codomain(codomain(a)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_355917]) ).
tcf(c_358526,plain,
( defined(g,codomain(codomain(c)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_355917]) ).
tcf(c_358558,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(h,X0)
| ~ identity_map(compose(h,X0))
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_356389,c_81]) ).
tcf(c_358559,plain,
! [X0: $i] :
( defined(a,compose(h,X0))
| ~ identity_map(b)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_356389,c_355339]) ).
tcf(c_358573,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),h,X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_355714]) ).
tcf(c_358574,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_355714]) ).
tcf(c_358575,plain,
! [X0: $i,X1: $i] :
( product(c,h,X1)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_355714]) ).
tcf(c_358576,plain,
! [X0: $i,X1: $i] :
( product(X0,h,X1)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_355714]) ).
tcf(c_358597,plain,
( product(c,h,compose(d,domain(h)))
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_73,c_356846]) ).
tcf(c_358598,plain,
( product(c,h,domain(h))
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_88,c_356846]) ).
tcf(c_358611,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(g,X0)
| ~ identity_map(compose(g,X0))
| ~ defined(compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_356598,c_81]) ).
tcf(c_358612,plain,
! [X0: $i] :
( defined(a,compose(g,X0))
| ~ identity_map(b)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_356598,c_355339]) ).
tcf(c_358636,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),g,X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_355715]) ).
tcf(c_358637,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_355715]) ).
tcf(c_358638,plain,
! [X0: $i,X1: $i] :
( product(c,g,X1)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_355715]) ).
tcf(c_358639,plain,
! [X0: $i,X1: $i] :
( product(X0,g,X1)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_355715]) ).
tcf(c_358657,plain,
( product(c,compose(g,domain(d)),d)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_73,c_357403]) ).
tcf(c_358658,plain,
( product(c,domain(d),d)
| ~ identity_map(g)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_88,c_357403]) ).
tcf(c_358660,plain,
product(c,compose(g,domain(d)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_358657,c_355256]) ).
tcf(c_358661,plain,
( product(c,domain(d),d)
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_358658,c_355256]) ).
tcf(c_358664,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(g,domain(d)),X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_358660,c_80]) ).
tcf(c_358665,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ product(d,X0,X2)
| ~ product(compose(g,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_358660,c_77]) ).
tcf(c_358666,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(d)))
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_358660,c_79]) ).
tcf(c_358667,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_358660,c_90]) ).
tcf(c_358669,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(compose(g,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_358660,c_76]) ).
tcf(c_358670,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_358660,c_75]) ).
tcf(c_358671,plain,
defined(c,compose(g,domain(d))),
inference(superposition,[status(thm)],[c_358660,c_74]) ).
tcf(c_358691,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_358671,c_81]) ).
tcf(c_358692,plain,
defined(b,compose(g,domain(d))),
inference(superposition,[status(thm)],[c_358671,c_355217]) ).
tcf(c_358703,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(d),X2)
| ~ identity_map(g)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_358661,c_80]) ).
tcf(c_358704,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(g)
| ~ product(d,X0,X2)
| ~ product(domain(d),X0,X1) ),
inference(superposition,[status(thm)],[c_358661,c_77]) ).
tcf(c_358705,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(d))
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_358661,c_79]) ).
tcf(c_358706,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(g)
| ~ product(c,domain(d),X0) ),
inference(superposition,[status(thm)],[c_358661,c_90]) ).
tcf(c_358707,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_358661,c_78]) ).
tcf(c_358708,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ product(domain(d),X0,X1) ),
inference(superposition,[status(thm)],[c_358661,c_76]) ).
tcf(c_358709,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_358661,c_75]) ).
tcf(c_358792,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_358692,c_81]) ).
tcf(c_358793,plain,
( defined(a,compose(g,domain(d)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_358692,c_355339]) ).
tcf(c_358801,plain,
! [X0: $i,X1: $i] :
( product(c,compose(h,X0),X1)
| ~ product(d,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_356845,c_712,c_2538,c_138327]) ).
tcf(c_358809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,compose(h,X4),X2)
| ~ product(d,X4,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_358801,c_80]) ).
tcf(c_358810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(c,X2,X4)
| ~ product(d,X0,X3)
| ~ product(X3,X1,X4)
| ~ product(compose(h,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_358801,c_77]) ).
tcf(c_358811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,compose(h,X2))
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_358801,c_79]) ).
tcf(c_358812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ product(d,X0,X2)
| ~ product(c,compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_358801,c_90]) ).
tcf(c_358813,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_78]) ).
tcf(c_358814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X2)
| ~ defined(X3,X1)
| ~ product(d,X0,X3)
| ~ product(compose(h,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_358801,c_76]) ).
tcf(c_358815,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(h,X0),X2)
| ~ defined(X1,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_75]) ).
tcf(c_358816,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(h,X0))
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_74]) ).
tcf(c_358857,plain,
( product(c,h,compose(codomain(c),d))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_73,c_358574]) ).
tcf(c_358859,plain,
( product(c,h,codomain(c))
| ~ identity_map(d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_89,c_358574]) ).
tcf(c_358869,plain,
( product(c,g,compose(codomain(c),d))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_73,c_358637]) ).
tcf(c_358871,plain,
( product(c,g,codomain(c))
| ~ identity_map(d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_89,c_358637]) ).
tcf(c_358881,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_358670,c_81]) ).
tcf(c_358882,plain,
( defined(compose(g,domain(d)),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358670,c_355308]) ).
tcf(c_358883,plain,
( defined(compose(g,domain(d)),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358670,c_356224]) ).
tcf(c_358884,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358670,c_355309]) ).
tcf(c_358966,plain,
! [X0: $i] :
( defined(domain(X0),codomain(a))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357641,c_358005]) ).
tcf(c_358967,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(a))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357642,c_358005]) ).
tcf(c_358993,plain,
! [X0: $i] :
( defined(domain(X0),codomain(a))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357641,c_358105]) ).
tcf(c_358994,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(a))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357642,c_358105]) ).
tcf(c_359022,plain,
! [X0: $i] :
( defined(domain(X0),codomain(c))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357641,c_358295]) ).
tcf(c_359023,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(c))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357642,c_358295]) ).
tcf(c_359028,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(h)
| ~ product(d,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_356847,c_712,c_2540,c_138327]) ).
tcf(c_359037,plain,
! [X0: $i] :
( product(c,X0,compose(d,X0))
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_359028]) ).
tcf(c_359038,plain,
( product(c,domain(d),d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_86,c_359028]) ).
tcf(c_359039,plain,
! [X0: $i] :
( product(c,X0,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_88,c_359028]) ).
tcf(c_359040,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_89,c_359028]) ).
tcf(c_359076,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(d),X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359038,c_80]) ).
tcf(c_359077,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(domain(d),X0,X1) ),
inference(superposition,[status(thm)],[c_359038,c_77]) ).
tcf(c_359078,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(d))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359038,c_79]) ).
tcf(c_359079,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(c,domain(d),X0) ),
inference(superposition,[status(thm)],[c_359038,c_90]) ).
tcf(c_359080,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359038,c_78]) ).
tcf(c_359081,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(domain(d),X0,X1) ),
inference(superposition,[status(thm)],[c_359038,c_76]) ).
tcf(c_359082,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359038,c_75]) ).
tcf(c_359120,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_358816]) ).
tcf(c_359121,plain,
defined(c,compose(h,domain(d))),
inference(superposition,[status(thm)],[c_86,c_358816]) ).
tcf(c_359122,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_88,c_358816]) ).
tcf(c_359123,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_89,c_358816]) ).
tcf(c_359132,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_359121,c_81]) ).
tcf(c_359133,plain,
defined(b,compose(h,domain(d))),
inference(superposition,[status(thm)],[c_359121,c_355217]) ).
tcf(c_359187,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ identity_map(compose(h,X0))
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_359120,c_81]) ).
tcf(c_359188,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359120,c_355217]) ).
tcf(c_359203,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_359133,c_81]) ).
tcf(c_359204,plain,
( defined(a,compose(h,domain(d)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_359133,c_355339]) ).
tcf(c_359229,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_358793,c_81]) ).
tcf(c_359239,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(d,X0)
| ~ identity_map(compose(h,X0))
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_359188,c_81]) ).
tcf(c_359240,plain,
! [X0: $i] :
( defined(a,compose(h,X0))
| ~ identity_map(b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359188,c_355339]) ).
tcf(c_359252,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_359204,c_81]) ).
tcf(c_359262,plain,
! [X0: $i,X1: $i] :
( product(c,h,X1)
| ~ identity_map(X0)
| ~ product(d,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_356848,c_712,c_2541,c_138327]) ).
tcf(c_359271,plain,
! [X0: $i] :
( product(c,h,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_359262]) ).
tcf(c_359273,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_88,c_359262]) ).
tcf(c_359293,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ identity_map(X1)
| ~ identity_map(X0)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_81]) ).
tcf(c_359294,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355338,c_355308]) ).
tcf(c_359295,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355338,c_356224]) ).
tcf(c_359296,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355338,c_355309]) ).
tcf(c_359323,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355458,c_81]) ).
tcf(c_359326,plain,
( defined(codomain(c),c)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_355458,c_355309]) ).
tcf(c_359338,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355472,c_81]) ).
tcf(c_359369,plain,
! [X0: $i,X1: $i] :
( product(c,X1,compose(d,X0))
| ~ product(g,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_357402,c_3004,c_16880,c_138329]) ).
tcf(c_359377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,X4,X2)
| ~ product(g,X1,X4)
| ~ product(X0,c,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359369,c_80]) ).
tcf(c_359378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(c,X4,X2)
| ~ product(g,X0,X3)
| ~ product(X3,X1,X4)
| ~ product(compose(d,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359369,c_77]) ).
tcf(c_359379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ product(g,X1,X3)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359369,c_79]) ).
tcf(c_359380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(d,X2) = X1 )
| ~ product(g,X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_90]) ).
tcf(c_359381,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,c)
| ~ product(g,X1,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359369,c_78]) ).
tcf(c_359382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X3)
| ~ product(g,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359369,c_76]) ).
tcf(c_359383,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ product(g,X0,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359369,c_75]) ).
tcf(c_359385,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_359369,c_355384]) ).
tcf(c_359386,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_359369,c_355385]) ).
tcf(c_359387,plain,
! [X0: $i] :
( ( compose(d,X0) = c )
| ~ product(g,X0,domain(c)) ),
inference(superposition,[status(thm)],[c_359369,c_355387]) ).
tcf(c_359388,plain,
! [X0: $i,X1: $i] :
( product(compose(d,X1),g,X0)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359369,c_355715]) ).
tcf(c_359389,plain,
! [X0: $i,X1: $i] :
( product(compose(d,X1),h,X0)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359369,c_355714]) ).
tcf(c_359390,plain,
! [X0: $i] :
( defined(compose(d,X0),g)
| ~ defined(c,d)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_355606]) ).
tcf(c_359391,plain,
! [X0: $i] :
( defined(compose(d,X0),h)
| ~ defined(c,d)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_355605]) ).
tcf(c_359453,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355477,c_81]) ).
tcf(c_359469,plain,
( ~ identity_map(b)
| ~ identity_map(h) ),
inference(global_subsumption_just,[status(thm)],[c_357183,c_95,c_96,c_101,c_102,c_391,c_685,c_834,c_1315,c_1530,c_1670,c_2186,c_3768,c_10802,c_17018,c_31193,c_36425,c_40474,c_40485,c_193297,c_231080]) ).
tcf(c_359470,plain,
( ~ identity_map(h)
| ~ identity_map(b) ),
inference(renaming,[status(thm)],[c_359469]) ).
tcf(c_359480,plain,
( ~ identity_map(b)
| ~ identity_map(g) ),
inference(global_subsumption_just,[status(thm)],[c_357231,c_303046]) ).
tcf(c_359481,plain,
( ~ identity_map(g)
| ~ identity_map(b) ),
inference(renaming,[status(thm)],[c_359480]) ).
tcf(c_359493,plain,
! [X0: $i,X1: $i] :
( product(c,X1,X0)
| ~ identity_map(d)
| ~ product(g,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_357404,c_3006,c_16880,c_138329]) ).
tcf(c_359502,plain,
! [X0: $i] :
( product(c,compose(g,X0),X0)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_73,c_359493]) ).
tcf(c_359503,plain,
( product(c,g,domain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_86,c_359493]) ).
tcf(c_359504,plain,
! [X0: $i] :
( product(c,X0,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_88,c_359493]) ).
tcf(c_359505,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_89,c_359493]) ).
tcf(c_359523,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,g,X1)
| ~ identity_map(d)
| ~ product(X0,c,X2)
| ~ product(X0,domain(g),X1) ),
inference(superposition,[status(thm)],[c_359503,c_80]) ).
tcf(c_359524,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ identity_map(d)
| ~ product(g,X0,X2)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_359503,c_77]) ).
tcf(c_359525,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(d)
| ~ defined(X0,domain(g))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359503,c_79]) ).
tcf(c_359526,plain,
! [X0: $i] :
( ( domain(g) = X0 )
| ~ identity_map(d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_359503,c_90]) ).
tcf(c_359527,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_359503,c_78]) ).
tcf(c_359528,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(domain(g),X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359503,c_76]) ).
tcf(c_359529,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_359503,c_75]) ).
tcf(c_359531,plain,
( ( domain(g) = d )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_359503,c_355385]) ).
tcf(c_359569,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_355313,c_356681]) ).
tcf(c_359570,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_356008,c_356681]) ).
tcf(c_359571,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_355486,c_356681]) ).
tcf(c_359572,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_355487,c_356681]) ).
tcf(c_359574,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_357967,c_356681]) ).
tcf(c_359575,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_357966,c_356681]) ).
tcf(c_359576,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_357968,c_356681]) ).
tcf(c_359612,plain,
! [X0: $i,X1: $i] :
( product(c,X1,d)
| ~ identity_map(X0)
| ~ product(g,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_357405,c_3007,c_16880,c_138329]) ).
tcf(c_359621,plain,
! [X0: $i] :
( product(c,compose(g,X0),d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_73,c_359612]) ).
tcf(c_359623,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_88,c_359612]) ).
tcf(c_359639,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355221,c_356710]) ).
tcf(c_359640,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_356710]) ).
tcf(c_359641,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_356008,c_356710]) ).
tcf(c_359642,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_355486,c_356710]) ).
tcf(c_359643,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_355487,c_356710]) ).
tcf(c_359645,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_356710]) ).
tcf(c_359646,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_356710]) ).
tcf(c_359647,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_357968,c_356710]) ).
tcf(c_359680,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357016]) ).
tcf(c_359681,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_357016]) ).
tcf(c_359682,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_357016]) ).
tcf(c_359683,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_357016]) ).
tcf(c_359685,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_357016]) ).
tcf(c_359686,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_357016]) ).
tcf(c_359687,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_357016]) ).
tcf(c_359739,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357136]) ).
tcf(c_359740,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_357136]) ).
tcf(c_359741,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_357136]) ).
tcf(c_359742,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_357136]) ).
tcf(c_359744,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_357136]) ).
tcf(c_359745,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_357136]) ).
tcf(c_359746,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_357136]) ).
tcf(c_359797,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355221,c_357148]) ).
tcf(c_359798,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357148]) ).
tcf(c_359799,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_357148]) ).
tcf(c_359800,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_357148]) ).
tcf(c_359801,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_357148]) ).
tcf(c_359803,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_357148]) ).
tcf(c_359804,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_357148]) ).
tcf(c_359805,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_357148]) ).
tcf(c_359862,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_358882,c_81]) ).
tcf(c_359878,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_358883,c_81]) ).
tcf(c_359887,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_358884,c_81]) ).
tcf(c_359909,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ defined(codomain(c),c)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_357831,c_358573]) ).
tcf(c_359910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,h,X4)
| ~ defined(X1,c)
| ~ product(X1,d,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(X1,c),X2) ),
inference(superposition,[status(thm)],[c_358573,c_80]) ).
tcf(c_359911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(compose(X3,c),X4,X2)
| ~ defined(X3,c)
| ~ product(h,X1,X4)
| ~ product(X3,d,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_358573,c_77]) ).
tcf(c_359912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,h)
| ~ defined(X1,c)
| ~ defined(X0,X3)
| ~ product(X1,d,X3)
| ~ product(X0,compose(X1,c),X2) ),
inference(superposition,[status(thm)],[c_358573,c_79]) ).
tcf(c_359913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,c)
| ~ product(X0,d,X2)
| ~ product(compose(X0,c),h,X1) ),
inference(superposition,[status(thm)],[c_358573,c_90]) ).
tcf(c_359914,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(X0,c))
| ~ defined(X0,c)
| ~ defined(X2,X1)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_78]) ).
tcf(c_359915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(compose(X0,c),X3)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(h,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_76]) ).
tcf(c_359916,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_75]) ).
tcf(c_359917,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),h)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_74]) ).
tcf(c_359982,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357187]) ).
tcf(c_359983,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_357187]) ).
tcf(c_359984,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_357187]) ).
tcf(c_359985,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_357187]) ).
tcf(c_359987,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_357187]) ).
tcf(c_359988,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_357187]) ).
tcf(c_359989,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_357187]) ).
tcf(c_360042,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355221,c_357199]) ).
tcf(c_360043,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357199]) ).
tcf(c_360044,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_357199]) ).
tcf(c_360045,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_357199]) ).
tcf(c_360046,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_357199]) ).
tcf(c_360048,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_357199]) ).
tcf(c_360049,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_357199]) ).
tcf(c_360050,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_357199]) ).
tcf(c_360097,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357235]) ).
tcf(c_360098,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_357235]) ).
tcf(c_360099,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_357235]) ).
tcf(c_360100,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_357235]) ).
tcf(c_360102,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_357235]) ).
tcf(c_360103,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_357235]) ).
tcf(c_360104,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_357235]) ).
tcf(c_360167,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355221,c_357248]) ).
tcf(c_360168,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357248]) ).
tcf(c_360169,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_357248]) ).
tcf(c_360170,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_357248]) ).
tcf(c_360171,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_357248]) ).
tcf(c_360173,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_357248]) ).
tcf(c_360174,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_357248]) ).
tcf(c_360175,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_357248]) ).
tcf(c_360296,plain,
! [X0: $i] :
( product(c,h,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358575]) ).
tcf(c_360299,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358575]) ).
tcf(c_360300,plain,
! [X0: $i] :
( product(c,h,compose(d,X0))
| ~ identity_map(c)
| ~ defined(c,c)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_359369,c_358575]) ).
tcf(c_360332,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355221,c_357261]) ).
tcf(c_360333,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357261]) ).
tcf(c_360334,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356008,c_357261]) ).
tcf(c_360335,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355486,c_357261]) ).
tcf(c_360336,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_355487,c_357261]) ).
tcf(c_360338,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_357261]) ).
tcf(c_360339,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_357261]) ).
tcf(c_360340,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_357261]) ).
tcf(c_360365,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_358709,c_16020]) ).
tcf(c_360375,plain,
( defined(g,c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_359527]) ).
tcf(c_360376,plain,
( defined(codomain(domain(g)),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_85,c_359527]) ).
tcf(c_360377,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(d)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_355221,c_359527]) ).
tcf(c_360378,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_355338,c_359527]) ).
tcf(c_360379,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(g)) ),
inference(superposition,[status(thm)],[c_355458,c_359527]) ).
tcf(c_360382,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_357044,c_359527]) ).
tcf(c_360383,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_357133,c_359527]) ).
tcf(c_360384,plain,
( defined(domain(g),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_357697,c_359527]) ).
tcf(c_360385,plain,
( defined(compose(g,domain(d)),c)
| ~ identity_map(d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_358670,c_359527]) ).
tcf(c_360454,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_360375,c_81]) ).
tcf(c_360457,plain,
( defined(g,a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360375,c_355308]) ).
tcf(c_360458,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360375,c_359741]) ).
tcf(c_360476,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_360457,c_81]) ).
tcf(c_360477,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360457,c_355344]) ).
tcf(c_360503,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_360384,c_81]) ).
tcf(c_360504,plain,
( defined(g,codomain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360384,c_355774]) ).
tcf(c_360506,plain,
( defined(domain(g),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360384,c_355308]) ).
tcf(c_360507,plain,
( defined(g,codomain(a))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360384,c_358105]) ).
tcf(c_360535,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_360504,c_81]) ).
tcf(c_360536,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360504,c_355344]) ).
tcf(c_360537,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360504,c_355341]) ).
tcf(c_360544,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_360535,c_83]) ).
tcf(c_360552,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_360506,c_81]) ).
tcf(c_360578,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_360507,c_81]) ).
tcf(c_360579,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360507,c_355344]) ).
tcf(c_360580,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360507,c_355341]) ).
tcf(c_360587,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_360578,c_83]) ).
tcf(c_360638,plain,
( defined(a,c)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_360382,c_359639]) ).
tcf(c_360641,plain,
( defined(a,a)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_360382,c_359642]) ).
tcf(c_360672,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_360383,c_81]) ).
tcf(c_360687,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_360458,c_81]) ).
tcf(c_360701,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_360477,c_81]) ).
tcf(c_360727,plain,
! [X0: $i] :
( product(X0,h,compose(X0,d))
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358576]) ).
tcf(c_360728,plain,
( product(codomain(d),h,d)
| ~ identity_map(c)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_87,c_358576]) ).
tcf(c_360729,plain,
! [X0: $i] :
( product(X0,h,d)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_88,c_358576]) ).
tcf(c_360730,plain,
! [X0: $i] :
( product(X0,h,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358576]) ).
tcf(c_360732,plain,
( product(codomain(d),h,d)
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_360728,c_355466]) ).
tcf(c_360790,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,h,X2)
| ~ identity_map(c)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_360732,c_80]) ).
tcf(c_360791,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(d),X1,X2)
| ~ identity_map(c)
| ~ product(d,X0,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_360732,c_77]) ).
tcf(c_360792,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_360732,c_79]) ).
tcf(c_360793,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(c)
| ~ product(codomain(d),h,X0) ),
inference(superposition,[status(thm)],[c_360732,c_90]) ).
tcf(c_360794,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_360732,c_78]) ).
tcf(c_360795,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_360732,c_76]) ).
tcf(c_360796,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_360732,c_75]) ).
tcf(c_360797,plain,
( defined(codomain(d),h)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360732,c_74]) ).
tcf(c_360837,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_360797,c_81]) ).
tcf(c_360857,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(g),X0) ),
inference(global_subsumption_just,[status(thm)],[c_359529,c_40055]) ).
tcf(c_360937,plain,
product(c,h,compose(d,domain(h))),
inference(global_subsumption_just,[status(thm)],[c_358597,c_4376,c_15015]) ).
tcf(c_360939,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,h,X1)
| ~ product(X0,c,X2)
| ~ product(X0,compose(d,domain(h)),X1) ),
inference(superposition,[status(thm)],[c_360937,c_80]) ).
tcf(c_360940,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ product(h,X0,X2)
| ~ product(compose(d,domain(h)),X0,X1) ),
inference(superposition,[status(thm)],[c_360937,c_77]) ).
tcf(c_360941,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ product(X0,c,X1)
| ~ defined(X0,compose(d,domain(h))) ),
inference(superposition,[status(thm)],[c_360937,c_79]) ).
tcf(c_360942,plain,
! [X0: $i] :
( ( compose(d,domain(h)) = X0 )
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_360937,c_90]) ).
tcf(c_360943,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,compose(d,domain(h))) ),
inference(superposition,[status(thm)],[c_360937,c_78]) ).
tcf(c_360945,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(compose(d,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_360937,c_75]) ).
tcf(c_360947,plain,
compose(d,domain(h)) = d,
inference(superposition,[status(thm)],[c_360937,c_355384]) ).
tcf(c_360979,plain,
( defined(g,domain(codomain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_360544]) ).
tcf(c_360981,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_360544]) ).
tcf(c_360995,plain,
( product(d,domain(h),d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_360947,c_73]) ).
tcf(c_360996,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359369]) ).
tcf(c_361139,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_360536,c_81]) ).
tcf(c_361140,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_360536,c_355339]) ).
tcf(c_361145,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361139,c_83]) ).
tcf(c_361156,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_360537,c_81]) ).
tcf(c_361159,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361156,c_83]) ).
tcf(c_361164,plain,
( product(c,h,domain(h))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_358598,c_4377,c_15015]) ).
tcf(c_361170,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,h,X1)
| ~ identity_map(d)
| ~ product(X0,c,X2)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_361164,c_80]) ).
tcf(c_361171,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ identity_map(d)
| ~ product(h,X0,X2)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_361164,c_77]) ).
tcf(c_361172,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(d)
| ~ defined(X0,domain(h))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_361164,c_79]) ).
tcf(c_361173,plain,
! [X0: $i] :
( ( domain(h) = X0 )
| ~ identity_map(d)
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_361164,c_90]) ).
tcf(c_361174,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_361164,c_78]) ).
tcf(c_361175,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(domain(h),X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_361164,c_76]) ).
tcf(c_361176,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_361164,c_75]) ).
tcf(c_361178,plain,
( ( domain(h) = d )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361164,c_355384]) ).
tcf(c_361206,plain,
product(d,domain(h),d),
inference(global_subsumption_just,[status(thm)],[c_360995,c_19679]) ).
tcf(c_361208,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ product(X0,d,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_361206,c_80]) ).
tcf(c_361209,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,X1,X2)
| ~ product(d,X0,X2)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_361206,c_77]) ).
tcf(c_361210,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,d)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_361206,c_79]) ).
tcf(c_361211,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_361206,c_90]) ).
tcf(c_361213,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(d,X0)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_361206,c_76]) ).
tcf(c_361214,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_361206,c_75]) ).
tcf(c_361215,plain,
defined(d,domain(h)),
inference(superposition,[status(thm)],[c_361206,c_74]) ).
tcf(c_361217,plain,
defined(c,compose(h,domain(h))),
inference(superposition,[status(thm)],[c_361206,c_358816]) ).
tcf(c_361218,plain,
( product(c,domain(h),d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_361206,c_359028]) ).
tcf(c_361239,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_361215,c_81]) ).
tcf(c_361240,plain,
( defined(b,domain(h))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_361215,c_360332]) ).
tcf(c_361242,plain,
( defined(c,domain(h))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_361215,c_360042]) ).
tcf(c_361244,plain,
defined(g,domain(h)),
inference(superposition,[status(thm)],[c_361215,c_355219]) ).
tcf(c_361245,plain,
defined(h,domain(h)),
inference(superposition,[status(thm)],[c_361215,c_355218]) ).
tcf(c_361250,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361239,c_82]) ).
tcf(c_361269,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_361214,c_81]) ).
tcf(c_361272,plain,
( defined(domain(h),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_361214,c_355308]) ).
tcf(c_361273,plain,
( defined(domain(h),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361214,c_356224]) ).
tcf(c_361274,plain,
( defined(domain(h),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361214,c_355309]) ).
tcf(c_361283,plain,
( defined(domain(h),c)
| ~ identity_map(d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_361214,c_359527]) ).
tcf(c_361316,plain,
defined(d,domain(domain(h))),
inference(superposition,[status(thm)],[c_84,c_361250]) ).
tcf(c_361317,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_361250]) ).
tcf(c_361318,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361250]) ).
tcf(c_361319,plain,
( defined(d,a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_361250]) ).
tcf(c_361320,plain,
( defined(d,a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_361250]) ).
tcf(c_361321,plain,
( defined(d,c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_361250]) ).
tcf(c_361324,plain,
( defined(d,codomain(a))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361250]) ).
tcf(c_361325,plain,
( defined(d,codomain(a))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361250]) ).
tcf(c_361326,plain,
( defined(d,codomain(c))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361250]) ).
tcf(c_361371,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_361244,c_81]) ).
tcf(c_361374,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361371,c_82]) ).
tcf(c_361383,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_361240,c_81]) ).
tcf(c_361385,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361383,c_82]) ).
tcf(c_361393,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_361242,c_81]) ).
tcf(c_361396,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361393,c_82]) ).
tcf(c_361405,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355313,c_361317]) ).
tcf(c_361406,plain,
defined(d,domain(d)),
inference(superposition,[status(thm)],[c_355251,c_361317]) ).
tcf(c_361407,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_355503,c_361317]) ).
tcf(c_361408,plain,
( defined(d,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356474,c_361317]) ).
tcf(c_361409,plain,
( defined(d,codomain(a))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356473,c_361317]) ).
tcf(c_361410,plain,
( defined(d,codomain(c))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356475,c_361317]) ).
tcf(c_361411,plain,
( defined(d,codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_357967,c_361317]) ).
tcf(c_361412,plain,
( defined(d,codomain(a))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357966,c_361317]) ).
tcf(c_361413,plain,
( defined(d,codomain(c))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357968,c_361317]) ).
tcf(c_361497,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_361218,c_80]) ).
tcf(c_361498,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_361218,c_77]) ).
tcf(c_361499,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_361218,c_79]) ).
tcf(c_361500,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(c,domain(h),X0) ),
inference(superposition,[status(thm)],[c_361218,c_90]) ).
tcf(c_361502,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_361218,c_76]) ).
tcf(c_361503,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_361218,c_75]) ).
tcf(c_361573,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361272,c_81]) ).
tcf(c_361576,plain,
( defined(d,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_361272,c_361250]) ).
tcf(c_361591,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ defined(codomain(c),c)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_357831,c_358636]) ).
tcf(c_361592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,g,X4)
| ~ defined(X1,c)
| ~ product(X1,d,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(X1,c),X2) ),
inference(superposition,[status(thm)],[c_358636,c_80]) ).
tcf(c_361593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(compose(X3,c),X4,X2)
| ~ defined(X3,c)
| ~ product(g,X1,X4)
| ~ product(X3,d,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_358636,c_77]) ).
tcf(c_361594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,g)
| ~ defined(X1,c)
| ~ defined(X0,X3)
| ~ product(X1,d,X3)
| ~ product(X0,compose(X1,c),X2) ),
inference(superposition,[status(thm)],[c_358636,c_79]) ).
tcf(c_361595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,c)
| ~ product(X0,d,X2)
| ~ product(compose(X0,c),g,X1) ),
inference(superposition,[status(thm)],[c_358636,c_90]) ).
tcf(c_361597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(compose(X0,c),X3)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(g,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358636,c_76]) ).
tcf(c_361598,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X2)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358636,c_75]) ).
tcf(c_361599,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),g)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358636,c_74]) ).
tcf(c_361636,plain,
defined(g,domain(domain(h))),
inference(superposition,[status(thm)],[c_84,c_361374]) ).
tcf(c_361637,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_361374]) ).
tcf(c_361638,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361374]) ).
tcf(c_361639,plain,
( defined(g,a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_361374]) ).
tcf(c_361640,plain,
( defined(g,a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_361374]) ).
tcf(c_361641,plain,
( defined(g,c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_361374]) ).
tcf(c_361645,plain,
( defined(g,codomain(a))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361374]) ).
tcf(c_361646,plain,
( defined(g,codomain(a))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361374]) ).
tcf(c_361647,plain,
( defined(g,codomain(c))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361374]) ).
tcf(c_361679,plain,
( defined(g,domain(codomain(a)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_360587]) ).
tcf(c_361681,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_360587]) ).
tcf(c_361697,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355313,c_361637]) ).
tcf(c_361703,plain,
( defined(g,codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_357967,c_361637]) ).
tcf(c_361704,plain,
( defined(g,codomain(a))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357966,c_361637]) ).
tcf(c_361705,plain,
( defined(g,codomain(c))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_357968,c_361637]) ).
tcf(c_361730,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361273,c_81]) ).
tcf(c_361734,plain,
( defined(d,a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361273,c_361250]) ).
tcf(c_361768,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361274,c_81]) ).
tcf(c_361775,plain,
( defined(d,c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361274,c_361250]) ).
tcf(c_361797,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_361405]) ).
tcf(c_361798,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_361405]) ).
tcf(c_361799,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_361405,c_81]) ).
tcf(c_361800,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361405,c_360332]) ).
tcf(c_361802,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361405,c_360042]) ).
tcf(c_361805,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361405,c_355218]) ).
tcf(c_361818,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361799,c_83]) ).
tcf(c_361850,plain,
! [X0: $i] :
( product(c,g,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358638]) ).
tcf(c_361853,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358638]) ).
tcf(c_361854,plain,
! [X0: $i] :
( product(c,g,compose(d,X0))
| ~ identity_map(c)
| ~ defined(c,c)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_359369,c_358638]) ).
tcf(c_361870,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_360794,c_28426]) ).
tcf(c_361878,plain,
( defined(h,c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_361174]) ).
tcf(c_361879,plain,
( defined(codomain(domain(h)),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_85,c_361174]) ).
tcf(c_361880,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(d)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_355221,c_361174]) ).
tcf(c_361881,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_355338,c_361174]) ).
tcf(c_361882,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(superposition,[status(thm)],[c_355458,c_361174]) ).
tcf(c_361885,plain,
( defined(d,c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361215,c_361174]) ).
tcf(c_361887,plain,
( defined(c,c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356889,c_361174]) ).
tcf(c_361890,plain,
( defined(b,c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_357013,c_361174]) ).
tcf(c_361891,plain,
( defined(domain(h),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_357697,c_361174]) ).
tcf(c_361892,plain,
( defined(compose(g,domain(d)),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_358670,c_361174]) ).
tcf(c_361911,plain,
( defined(compose(g,domain(d)),c)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361892,c_361215]) ).
tcf(c_361922,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361878,c_81]) ).
tcf(c_361927,plain,
( defined(h,a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361878,c_355308]) ).
tcf(c_361929,plain,
( defined(d,a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361878,c_361320]) ).
tcf(c_361930,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_361878,c_359984]) ).
tcf(c_361931,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_361878,c_359682]) ).
tcf(c_361965,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361885,c_81]) ).
tcf(c_361987,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361927,c_81]) ).
tcf(c_362004,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361929,c_81]) ).
tcf(c_362028,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361891,c_81]) ).
tcf(c_362029,plain,
( defined(h,codomain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361891,c_355774]) ).
tcf(c_362031,plain,
( defined(domain(h),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361891,c_355308]) ).
tcf(c_362032,plain,
( defined(h,codomain(a))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361891,c_358105]) ).
tcf(c_362116,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_362029,c_81]) ).
tcf(c_362118,plain,
( defined(d,codomain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_362029,c_361317]) ).
tcf(c_362119,plain,
( defined(b,codomain(c))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362029,c_355343]) ).
tcf(c_362120,plain,
( defined(c,codomain(c))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362029,c_355340]) ).
tcf(c_362129,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362116,c_83]) ).
tcf(c_362237,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_362031,c_81]) ).
tcf(c_362252,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362032,c_81]) ).
tcf(c_362254,plain,
( defined(d,codomain(a))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_362032,c_361317]) ).
tcf(c_362255,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362032,c_355343]) ).
tcf(c_362256,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362032,c_355340]) ).
tcf(c_362265,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362252,c_83]) ).
tcf(c_362273,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_362118,c_81]) ).
tcf(c_362280,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362273,c_83]) ).
tcf(c_362288,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362254,c_81]) ).
tcf(c_362295,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362288,c_83]) ).
tcf(c_362303,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_361411,c_81]) ).
tcf(c_362304,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361411,c_360332]) ).
tcf(c_362306,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361411,c_360042]) ).
tcf(c_362309,plain,
( defined(h,codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361411,c_355218]) ).
tcf(c_362318,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362303,c_83]) ).
tcf(c_362330,plain,
! [X0: $i] :
( product(X0,g,compose(X0,d))
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358639]) ).
tcf(c_362331,plain,
( product(codomain(d),g,d)
| ~ identity_map(c)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_87,c_358639]) ).
tcf(c_362332,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_88,c_358639]) ).
tcf(c_362333,plain,
! [X0: $i] :
( product(X0,g,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358639]) ).
tcf(c_362335,plain,
( product(codomain(d),g,d)
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362331,c_355466]) ).
tcf(c_362357,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ identity_map(c)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_362335,c_80]) ).
tcf(c_362358,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(d),X2,X1)
| ~ identity_map(c)
| ~ product(g,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_362335,c_77]) ).
tcf(c_362359,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_362335,c_79]) ).
tcf(c_362360,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(c)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_362335,c_90]) ).
tcf(c_362362,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_362335,c_76]) ).
tcf(c_362363,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_362335,c_75]) ).
tcf(c_362364,plain,
( defined(codomain(d),g)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_362335,c_74]) ).
tcf(c_362393,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_362364,c_81]) ).
tcf(c_362404,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_361412,c_81]) ).
tcf(c_362405,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361412,c_360332]) ).
tcf(c_362407,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361412,c_360042]) ).
tcf(c_362410,plain,
( defined(h,codomain(a))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361412,c_355218]) ).
tcf(c_362419,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362404,c_83]) ).
tcf(c_362427,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(c))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_361413,c_81]) ).
tcf(c_362428,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361413,c_360332]) ).
tcf(c_362430,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361413,c_360042]) ).
tcf(c_362433,plain,
( defined(h,codomain(c))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361413,c_355218]) ).
tcf(c_362442,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362427,c_83]) ).
tcf(c_362450,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_361697]) ).
tcf(c_362451,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_361697]) ).
tcf(c_362452,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_361697,c_81]) ).
tcf(c_362459,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362452,c_83]) ).
tcf(c_362468,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_361703,c_81]) ).
tcf(c_362471,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362468,c_83]) ).
tcf(c_362491,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_361704,c_81]) ).
tcf(c_362494,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362491,c_83]) ).
tcf(c_362506,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(c))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_361705,c_81]) ).
tcf(c_362509,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362506,c_83]) ).
tcf(c_362517,plain,
defined(d,codomain(domain(domain(h)))),
inference(superposition,[status(thm)],[c_84,c_361318]) ).
tcf(c_362519,plain,
! [X0: $i] :
( defined(d,codomain(codomain(X0)))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361318]) ).
tcf(c_362527,plain,
defined(d,codomain(domain(h))),
inference(superposition,[status(thm)],[c_357697,c_361318]) ).
tcf(c_362528,plain,
( defined(d,codomain(codomain(a)))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361318]) ).
tcf(c_362529,plain,
( defined(d,codomain(codomain(a)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361318]) ).
tcf(c_362530,plain,
( defined(d,codomain(codomain(c)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361318]) ).
tcf(c_362551,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),compose(g,domain(d)),X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_358664]) ).
tcf(c_362552,plain,
! [X0: $i] :
( product(c,compose(g,domain(d)),X0)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_358664]) ).
tcf(c_362553,plain,
! [X0: $i,X1: $i] :
( product(c,compose(g,domain(d)),X1)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_358664]) ).
tcf(c_362554,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(g,domain(d)),X1)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_358664]) ).
tcf(c_362555,plain,
! [X0: $i,X1: $i] :
( product(compose(d,X1),compose(g,domain(d)),X0)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359369,c_358664]) ).
tcf(c_362595,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(h),X0) ),
inference(global_subsumption_just,[status(thm)],[c_361176,c_27342]) ).
tcf(c_362603,plain,
( defined(b,domain(domain(h)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_84,c_361385]) ).
tcf(c_362604,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_361385]) ).
tcf(c_362605,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361385]) ).
tcf(c_362606,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_361385]) ).
tcf(c_362607,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_361385]) ).
tcf(c_362608,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_361385]) ).
tcf(c_362614,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361385]) ).
tcf(c_362615,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361385]) ).
tcf(c_362616,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361385]) ).
tcf(c_362679,plain,
defined(g,codomain(domain(domain(h)))),
inference(superposition,[status(thm)],[c_84,c_361638]) ).
tcf(c_362681,plain,
! [X0: $i] :
( defined(g,codomain(codomain(X0)))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361638]) ).
tcf(c_362689,plain,
defined(g,codomain(domain(h))),
inference(superposition,[status(thm)],[c_357697,c_361638]) ).
tcf(c_362690,plain,
( defined(g,codomain(codomain(a)))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361638]) ).
tcf(c_362691,plain,
( defined(g,codomain(codomain(a)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361638]) ).
tcf(c_362692,plain,
( defined(g,codomain(codomain(c)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361638]) ).
tcf(c_362818,plain,
! [X0: $i,X1: $i] :
( product(c,compose(compose(g,domain(d)),X0),X1)
| ~ product(d,X0,X1)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_73,c_358665]) ).
tcf(c_362819,plain,
! [X0: $i] :
( product(c,compose(g,domain(d)),X0)
| ~ product(d,domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_86,c_358665]) ).
tcf(c_362820,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ product(d,X0,X1)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_88,c_358665]) ).
tcf(c_362821,plain,
! [X0: $i,X1: $i] :
( product(c,compose(g,domain(d)),X1)
| ~ identity_map(X0)
| ~ product(d,X0,X1)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_89,c_358665]) ).
tcf(c_362841,plain,
( defined(c,domain(domain(h)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_84,c_361396]) ).
tcf(c_362842,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_361396]) ).
tcf(c_362843,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_361396]) ).
tcf(c_362844,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_356008,c_361396]) ).
tcf(c_362845,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_355486,c_361396]) ).
tcf(c_362846,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_361396]) ).
tcf(c_362852,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_361396]) ).
tcf(c_362853,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_361396]) ).
tcf(c_362854,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_361396]) ).
tcf(c_362935,plain,
( defined(h,domain(codomain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_362129]) ).
tcf(c_362937,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362129]) ).
tcf(c_362957,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361890,c_81]) ).
tcf(c_362970,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_361911,c_81]) ).
tcf(c_362971,plain,
( defined(compose(g,domain(d)),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361911,c_355308]) ).
tcf(c_362984,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361930,c_81]) ).
tcf(c_362997,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_361931,c_81]) ).
tcf(c_363009,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_362971,c_81]) ).
tcf(c_363020,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_360579,c_81]) ).
tcf(c_363021,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_360579,c_355339]) ).
tcf(c_363026,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363020,c_83]) ).
tcf(c_363037,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_360580,c_81]) ).
tcf(c_363040,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363037,c_83]) ).
tcf(c_363049,plain,
( product(c,compose(g,domain(h)),d)
| ~ defined(g,domain(h)) ),
inference(superposition,[status(thm)],[c_73,c_360996]) ).
tcf(c_363050,plain,
( product(c,domain(h),d)
| ~ identity_map(g)
| ~ defined(g,domain(h)) ),
inference(superposition,[status(thm)],[c_88,c_360996]) ).
tcf(c_363052,plain,
product(c,compose(g,domain(h)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_363049,c_361244]) ).
tcf(c_363053,plain,
( product(c,domain(h),d)
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363050,c_361244]) ).
tcf(c_363056,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(g,domain(h)),X2)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_363052,c_80]) ).
tcf(c_363057,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ product(d,X0,X2)
| ~ product(compose(g,domain(h)),X0,X1) ),
inference(superposition,[status(thm)],[c_363052,c_77]) ).
tcf(c_363058,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(h)))
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_363052,c_79]) ).
tcf(c_363059,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(c,compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_363052,c_90]) ).
tcf(c_363061,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ product(compose(g,domain(h)),X0,X1) ),
inference(superposition,[status(thm)],[c_363052,c_76]) ).
tcf(c_363062,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_363052,c_75]) ).
tcf(c_363063,plain,
defined(c,compose(g,domain(h))),
inference(superposition,[status(thm)],[c_363052,c_74]) ).
tcf(c_363116,plain,
! [X0: $i] :
( defined(compose(X0,c),compose(g,domain(d)))
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358666]) ).
tcf(c_363119,plain,
! [X0: $i] :
( defined(X0,compose(g,domain(d)))
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358666]) ).
tcf(c_363120,plain,
! [X0: $i] :
( defined(compose(d,X0),compose(g,domain(d)))
| ~ defined(c,d)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_358666]) ).
tcf(c_363132,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_363063,c_81]) ).
tcf(c_363133,plain,
( defined(a,compose(g,domain(h)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_363063,c_359639]) ).
tcf(c_363134,plain,
defined(b,compose(g,domain(h))),
inference(superposition,[status(thm)],[c_363063,c_355217]) ).
tcf(c_363144,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_363062,c_81]) ).
tcf(c_363145,plain,
( defined(compose(g,domain(h)),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_363062,c_355308]) ).
tcf(c_363146,plain,
( defined(compose(g,domain(h)),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_363062,c_356224]) ).
tcf(c_363147,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_363062,c_355309]) ).
tcf(c_363148,plain,
( defined(compose(g,domain(h)),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_363062,c_361174]) ).
tcf(c_363159,plain,
( defined(compose(g,domain(h)),c)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363148,c_361215]) ).
tcf(c_363198,plain,
( defined(h,domain(codomain(a)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_362265]) ).
tcf(c_363200,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362265]) ).
tcf(c_363217,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_363134,c_81]) ).
tcf(c_363226,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ identity_map(g)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_363053,c_80]) ).
tcf(c_363227,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(g)
| ~ product(d,X0,X2)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_363053,c_77]) ).
tcf(c_363228,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_363053,c_79]) ).
tcf(c_363229,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(g)
| ~ product(c,domain(h),X0) ),
inference(superposition,[status(thm)],[c_363053,c_90]) ).
tcf(c_363231,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_363053,c_76]) ).
tcf(c_363232,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_363053,c_75]) ).
tcf(c_363308,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_363133,c_81]) ).
tcf(c_363317,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_363159,c_81]) ).
tcf(c_363318,plain,
( defined(compose(g,domain(h)),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_363159,c_355308]) ).
tcf(c_363329,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_363318,c_81]) ).
tcf(c_363340,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_362119,c_81]) ).
tcf(c_363342,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363340,c_83]) ).
tcf(c_363353,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_362120,c_81]) ).
tcf(c_363356,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363353,c_83]) ).
tcf(c_363367,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362255,c_81]) ).
tcf(c_363369,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363367,c_83]) ).
tcf(c_363380,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362256,c_81]) ).
tcf(c_363383,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363380,c_83]) ).
tcf(c_363395,plain,
( ( compose(c,compose(g,domain(d))) = d )
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_73,c_358667]) ).
tcf(c_363396,plain,
( ( compose(g,domain(d)) = d )
| ~ identity_map(c)
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_88,c_358667]) ).
tcf(c_363397,plain,
( ( c = d )
| ~ identity_map(compose(g,domain(d)))
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_89,c_358667]) ).
tcf(c_363398,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ product(g,X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_359369,c_358667]) ).
tcf(c_363402,plain,
compose(c,compose(g,domain(d))) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_363395,c_358671]) ).
tcf(c_363403,plain,
( ( c = d )
| ~ identity_map(compose(g,domain(d))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363397,c_358671]) ).
tcf(c_363406,plain,
( ( compose(g,domain(d)) = d )
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363396,c_358671]) ).
tcf(c_363425,plain,
( defined(d,domain(codomain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_362280]) ).
tcf(c_363427,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362280]) ).
tcf(c_363528,plain,
! [X0: $i] :
( defined(c,compose(compose(g,domain(d)),X0))
| ~ defined(d,X0)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_73,c_358669]) ).
tcf(c_363530,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,X0)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_88,c_358669]) ).
tcf(c_363545,plain,
( defined(d,domain(codomain(a)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_362295]) ).
tcf(c_363547,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362295]) ).
tcf(c_363561,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ product(b,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_355265,c_194585]) ).
tcf(c_363567,plain,
! [X0: $i] :
( defined(a,compose(b,X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_73,c_363561]) ).
tcf(c_363578,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(b,X0)
| ~ identity_map(compose(b,X0))
| ~ defined(compose(b,X0),X1) ),
inference(superposition,[status(thm)],[c_363567,c_81]) ).
tcf(c_363587,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_363145,c_81]) ).
tcf(c_363596,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_363146,c_81]) ).
tcf(c_363605,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_363147,c_81]) ).
tcf(c_363638,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(b,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_356612]) ).
tcf(c_363639,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ defined(b,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_356612]) ).
tcf(c_363640,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ identity_map(codomain(X0))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_356612,c_81]) ).
tcf(c_363647,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363640,c_83]) ).
tcf(c_363658,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_356616]) ).
tcf(c_363659,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ defined(c,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_356616]) ).
tcf(c_363660,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ identity_map(codomain(X0))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_356616,c_81]) ).
tcf(c_363667,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363660,c_83]) ).
tcf(c_363680,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_356890]) ).
tcf(c_363681,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_356890]) ).
tcf(c_363682,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_356890,c_81]) ).
tcf(c_363691,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363682,c_83]) ).
tcf(c_363720,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_356892]) ).
tcf(c_363721,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_356892]) ).
tcf(c_363722,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_356892,c_81]) ).
tcf(c_363731,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363722,c_83]) ).
tcf(c_363747,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_356893,c_81]) ).
tcf(c_363750,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363747,c_83]) ).
tcf(c_363767,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_356894,c_81]) ).
tcf(c_363770,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363767,c_83]) ).
tcf(c_363842,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),domain(d),X1)
| ~ identity_map(g)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_358703]) ).
tcf(c_363843,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_358703]) ).
tcf(c_363844,plain,
! [X0: $i,X1: $i] :
( product(c,domain(d),X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_358703]) ).
tcf(c_363845,plain,
! [X0: $i,X1: $i] :
( product(X0,domain(d),X1)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_358703]) ).
tcf(c_363846,plain,
! [X0: $i,X1: $i] :
( product(compose(d,X1),domain(d),X0)
| ~ identity_map(g)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359369,c_358703]) ).
tcf(c_363895,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(codomain(X1)))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_355510]) ).
tcf(c_363897,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_355510]) ).
tcf(c_363898,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(X0)
| ~ defined(X2,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_355510]) ).
tcf(c_363900,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355458,c_355510]) ).
tcf(c_363902,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355477,c_355510]) ).
tcf(c_363903,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355472,c_355510]) ).
tcf(c_363906,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_355510]) ).
tcf(c_363907,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_355510]) ).
tcf(c_363908,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_355510]) ).
tcf(c_363909,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_360797,c_355510]) ).
tcf(c_363910,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_362364,c_355510]) ).
tcf(c_363911,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_355510]) ).
tcf(c_363912,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_355510]) ).
tcf(c_363992,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_73,c_355604]) ).
tcf(c_363995,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_89,c_355604]) ).
tcf(c_363996,plain,
! [X0: $i] :
( defined(compose(d,X0),b)
| ~ defined(c,c)
| ~ product(g,X0,a) ),
inference(superposition,[status(thm)],[c_359369,c_355604]) ).
tcf(c_364042,plain,
! [X0: $i] :
( defined(b,domain(codomain(X0)))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_84,c_356097]) ).
tcf(c_364044,plain,
! [X0: $i,X1: $i] :
( defined(b,codomain(X1))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_356097]) ).
tcf(c_364045,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_356097]) ).
tcf(c_364047,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_356097]) ).
tcf(c_364049,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(a)
| ~ defined(c,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_356097]) ).
tcf(c_364050,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(c)
| ~ defined(c,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_356097]) ).
tcf(c_364053,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_356097]) ).
tcf(c_364054,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_356097]) ).
tcf(c_364055,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_356097]) ).
tcf(c_364058,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_356097]) ).
tcf(c_364059,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_356097]) ).
tcf(c_364121,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355221,c_363909]) ).
tcf(c_364122,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355338,c_363909]) ).
tcf(c_364123,plain,
( defined(codomain(c),h)
| ~ identity_map(c)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_355458,c_363909]) ).
tcf(c_364126,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361214,c_363909]) ).
tcf(c_364127,plain,
( defined(compose(g,domain(d)),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358670,c_363909]) ).
tcf(c_364128,plain,
( defined(compose(g,domain(h)),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_363062,c_363909]) ).
tcf(c_364275,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355221,c_363910]) ).
tcf(c_364276,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355338,c_363910]) ).
tcf(c_364277,plain,
( defined(codomain(c),g)
| ~ identity_map(c)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_355458,c_363910]) ).
tcf(c_364280,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361214,c_363910]) ).
tcf(c_364281,plain,
( defined(compose(g,domain(d)),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358670,c_363910]) ).
tcf(c_364282,plain,
( defined(compose(g,domain(h)),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_363062,c_363910]) ).
tcf(c_364374,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_356904,c_81]) ).
tcf(c_364377,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364374,c_83]) ).
tcf(c_364389,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357045]) ).
tcf(c_364390,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ defined(g,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357045]) ).
tcf(c_364391,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357045,c_81]) ).
tcf(c_364400,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364391,c_83]) ).
tcf(c_364411,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357047]) ).
tcf(c_364412,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357047]) ).
tcf(c_364413,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357047,c_81]) ).
tcf(c_364422,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364413,c_83]) ).
tcf(c_364437,plain,
! [X0: $i,X1: $i] :
( product(c,compose(domain(d),X0),X1)
| ~ identity_map(g)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_358704]) ).
tcf(c_364438,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ product(d,domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_86,c_358704]) ).
tcf(c_364439,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(g)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_358704]) ).
tcf(c_364440,plain,
! [X0: $i,X1: $i] :
( product(c,domain(d),X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_358704]) ).
tcf(c_364441,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ product(d,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357696,c_358704]) ).
tcf(c_364457,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(g)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364439,c_82]) ).
tcf(c_364468,plain,
! [X0: $i] :
( defined(g,domain(codomain(X0)))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_84,c_356106]) ).
tcf(c_364470,plain,
! [X0: $i,X1: $i] :
( defined(g,codomain(X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_356106]) ).
tcf(c_364471,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_356106]) ).
tcf(c_364473,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_356106]) ).
tcf(c_364475,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_356106]) ).
tcf(c_364476,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_356106]) ).
tcf(c_364479,plain,
! [X0: $i] :
( defined(g,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_356106]) ).
tcf(c_364480,plain,
! [X0: $i] :
( defined(g,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_356106]) ).
tcf(c_364481,plain,
! [X0: $i] :
( defined(g,codomain(c))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_356106]) ).
tcf(c_364482,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_360797,c_356106]) ).
tcf(c_364483,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_362364,c_356106]) ).
tcf(c_364484,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_356106]) ).
tcf(c_364485,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_356106]) ).
tcf(c_364593,plain,
! [X0: $i] :
( defined(h,domain(codomain(X0)))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_84,c_356115]) ).
tcf(c_364595,plain,
! [X0: $i,X1: $i] :
( defined(h,codomain(X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_356115]) ).
tcf(c_364596,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_356115]) ).
tcf(c_364598,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_356115]) ).
tcf(c_364600,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_356115]) ).
tcf(c_364601,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_356115]) ).
tcf(c_364604,plain,
! [X0: $i] :
( defined(h,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_356115]) ).
tcf(c_364605,plain,
! [X0: $i] :
( defined(h,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_356115]) ).
tcf(c_364606,plain,
! [X0: $i] :
( defined(h,codomain(c))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_356115]) ).
tcf(c_364607,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_360797,c_356115]) ).
tcf(c_364608,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_362364,c_356115]) ).
tcf(c_364609,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_356115]) ).
tcf(c_364610,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_356115]) ).
tcf(c_364780,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357431]) ).
tcf(c_364781,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357431]) ).
tcf(c_364782,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357431,c_81]) ).
tcf(c_364790,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(h)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364782,c_83]) ).
tcf(c_364801,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357433]) ).
tcf(c_364802,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357433]) ).
tcf(c_364803,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357433,c_81]) ).
tcf(c_364811,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364803,c_83]) ).
tcf(c_364872,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357434,c_81]) ).
tcf(c_364874,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364872,c_83]) ).
tcf(c_364885,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357435,c_81]) ).
tcf(c_364887,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364885,c_83]) ).
tcf(c_364900,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_357445,c_81]) ).
tcf(c_364902,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364900,c_83]) ).
tcf(c_364916,plain,
! [X0: $i] :
( defined(compose(X0,c),domain(d))
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_358705]) ).
tcf(c_364919,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_358705]) ).
tcf(c_364920,plain,
! [X0: $i] :
( defined(compose(d,X0),domain(d))
| ~ identity_map(g)
| ~ defined(c,d)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_358705]) ).
tcf(c_364943,plain,
( defined(h,domain(codomain(a)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_356743]) ).
tcf(c_364945,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_356743]) ).
tcf(c_364963,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357531]) ).
tcf(c_364964,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ defined(g,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357531]) ).
tcf(c_364965,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357531,c_81]) ).
tcf(c_364973,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364965,c_83]) ).
tcf(c_364993,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_357533]) ).
tcf(c_364994,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_357533]) ).
tcf(c_364995,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357533,c_81]) ).
tcf(c_365003,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364995,c_83]) ).
tcf(c_365016,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357925,c_81]) ).
tcf(c_365017,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365016,c_83]) ).
tcf(c_365028,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_357938,c_81]) ).
tcf(c_365029,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365028,c_83]) ).
tcf(c_365040,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(c))
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_357951,c_81]) ).
tcf(c_365041,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365040,c_83]) ).
tcf(c_365052,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358007,c_81]) ).
tcf(c_365053,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365052,c_83]) ).
tcf(c_365064,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358010,c_81]) ).
tcf(c_365066,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365064,c_83]) ).
tcf(c_365077,plain,
( ( compose(c,domain(d)) = d )
| ~ identity_map(g)
| ~ defined(c,domain(d)) ),
inference(superposition,[status(thm)],[c_73,c_358706]) ).
tcf(c_365078,plain,
( ( domain(d) = d )
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(c,domain(d)) ),
inference(superposition,[status(thm)],[c_88,c_358706]) ).
tcf(c_365080,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(g)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_359369,c_358706]) ).
tcf(c_365123,plain,
( defined(h,domain(codomain(a)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_356787]) ).
tcf(c_365125,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_356787]) ).
tcf(c_365130,plain,
( defined(h,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_356787]) ).
tcf(c_365146,plain,
( defined(h,domain(codomain(c)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_356796]) ).
tcf(c_365148,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_356796]) ).
tcf(c_365168,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358011,c_81]) ).
tcf(c_365171,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365168,c_83]) ).
tcf(c_365182,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358012,c_81]) ).
tcf(c_365184,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365182,c_83]) ).
tcf(c_365195,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358013,c_81]) ).
tcf(c_365198,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365195,c_83]) ).
tcf(c_365209,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358107,c_81]) ).
tcf(c_365210,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365209,c_83]) ).
tcf(c_365279,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358110,c_81]) ).
tcf(c_365281,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365279,c_83]) ).
tcf(c_365292,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358111,c_81]) ).
tcf(c_365295,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365292,c_83]) ).
tcf(c_365306,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358112,c_81]) ).
tcf(c_365308,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365306,c_83]) ).
tcf(c_365319,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358113,c_81]) ).
tcf(c_365322,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365319,c_83]) ).
tcf(c_365333,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(c))
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358297,c_81]) ).
tcf(c_365334,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365333,c_83]) ).
tcf(c_365345,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358300,c_81]) ).
tcf(c_365347,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365345,c_83]) ).
tcf(c_365358,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358301,c_81]) ).
tcf(c_365361,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365358,c_83]) ).
tcf(c_365372,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358302,c_81]) ).
tcf(c_365374,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365372,c_83]) ).
tcf(c_365387,plain,
! [X0: $i] :
( defined(c,compose(domain(d),X0))
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_73,c_358708]) ).
tcf(c_365389,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(domain(d))
| ~ defined(d,X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_88,c_358708]) ).
tcf(c_365407,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358303,c_81]) ).
tcf(c_365410,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365407,c_83]) ).
tcf(c_365421,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358426,c_81]) ).
tcf(c_365423,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365421,c_83]) ).
tcf(c_365434,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358427,c_81]) ).
tcf(c_365437,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365434,c_83]) ).
tcf(c_365448,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358475,c_81]) ).
tcf(c_365450,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365448,c_83]) ).
tcf(c_365461,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_358476,c_81]) ).
tcf(c_365464,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365461,c_83]) ).
tcf(c_365475,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358498,c_81]) ).
tcf(c_365477,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365475,c_83]) ).
tcf(c_365488,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_358499,c_81]) ).
tcf(c_365491,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365488,c_83]) ).
tcf(c_365502,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357841,c_359294]) ).
tcf(c_365503,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357840,c_359294]) ).
tcf(c_365504,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_81]) ).
tcf(c_365505,plain,
! [X0: $i] :
( defined(h,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_356115]) ).
tcf(c_365506,plain,
! [X0: $i] :
( defined(g,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_356106]) ).
tcf(c_365507,plain,
! [X0: $i] :
( defined(b,a)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_356097]) ).
tcf(c_365508,plain,
! [X0: $i,X1: $i] :
( defined(X0,a)
| ~ identity_map(X1)
| ~ defined(X1,c)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359294,c_355510]) ).
tcf(c_365509,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_356796]) ).
tcf(c_365513,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_356787]) ).
tcf(c_365514,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_356743]) ).
tcf(c_365569,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357841,c_359295]) ).
tcf(c_365570,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357840,c_359295]) ).
tcf(c_365571,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_81]) ).
tcf(c_365572,plain,
! [X0: $i] :
( defined(h,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_356115]) ).
tcf(c_365573,plain,
! [X0: $i] :
( defined(g,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_356106]) ).
tcf(c_365574,plain,
! [X0: $i] :
( defined(b,a)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_356097]) ).
tcf(c_365575,plain,
! [X0: $i,X1: $i] :
( defined(X0,a)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359295,c_355510]) ).
tcf(c_365576,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_356796]) ).
tcf(c_365580,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_356787]) ).
tcf(c_365581,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_356743]) ).
tcf(c_365648,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357841,c_359296]) ).
tcf(c_365649,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_357840,c_359296]) ).
tcf(c_365650,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_81]) ).
tcf(c_365651,plain,
! [X0: $i] :
( defined(h,c)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_356115]) ).
tcf(c_365652,plain,
! [X0: $i] :
( defined(g,c)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_356106]) ).
tcf(c_365653,plain,
! [X0: $i] :
( defined(b,c)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_356097]) ).
tcf(c_365654,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359296,c_355510]) ).
tcf(c_365656,plain,
( defined(h,c)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_356796]) ).
tcf(c_365660,plain,
( defined(h,c)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_356787]) ).
tcf(c_365661,plain,
( defined(h,c)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_356743]) ).
tcf(c_365762,plain,
( ( compose(d,h) = d )
| ~ identity_map(g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_88,c_359385]) ).
tcf(c_365770,plain,
compose(d,domain(g)) = d,
inference(superposition,[status(thm)],[c_86,c_359386]) ).
tcf(c_365771,plain,
( ( compose(d,g) = d )
| ~ identity_map(g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_88,c_359386]) ).
tcf(c_365772,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_89,c_359386]) ).
tcf(c_365798,plain,
( product(d,domain(g),d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_365770,c_73]) ).
tcf(c_365799,plain,
! [X0: $i] :
( product(c,X0,d)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359369]) ).
tcf(c_365804,plain,
product(d,domain(g),d),
inference(global_subsumption_just,[status(thm)],[c_365798,c_95,c_7177,c_29809]) ).
tcf(c_365806,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(g),X2)
| ~ product(X0,d,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_365804,c_80]) ).
tcf(c_365807,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,X1,X2)
| ~ product(d,X0,X2)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_365804,c_77]) ).
tcf(c_365808,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(g))
| ~ defined(X0,d)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_365804,c_79]) ).
tcf(c_365809,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(d,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365804,c_90]) ).
tcf(c_365811,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(d,X0)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_365804,c_76]) ).
tcf(c_365812,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_365804,c_75]) ).
tcf(c_365813,plain,
defined(d,domain(g)),
inference(superposition,[status(thm)],[c_365804,c_74]) ).
tcf(c_365815,plain,
defined(c,compose(h,domain(g))),
inference(superposition,[status(thm)],[c_365804,c_358816]) ).
tcf(c_365816,plain,
( product(c,domain(g),d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_365804,c_359028]) ).
tcf(c_365885,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_365813,c_81]) ).
tcf(c_365887,plain,
( defined(b,domain(g))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_365813,c_360167]) ).
tcf(c_365889,plain,
( defined(c,domain(g))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_365813,c_359797]) ).
tcf(c_365890,plain,
defined(g,domain(g)),
inference(superposition,[status(thm)],[c_365813,c_355219]) ).
tcf(c_365891,plain,
defined(h,domain(g)),
inference(superposition,[status(thm)],[c_365813,c_355218]) ).
tcf(c_365897,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365885,c_82]) ).
tcf(c_365962,plain,
! [X0: $i,X1: $i] :
( defined(domain(g),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_365812,c_81]) ).
tcf(c_365965,plain,
( defined(domain(g),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_365812,c_355308]) ).
tcf(c_365966,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_365812,c_363910]) ).
tcf(c_365967,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_365812,c_363909]) ).
tcf(c_365968,plain,
( defined(domain(g),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_365812,c_356224]) ).
tcf(c_365969,plain,
( defined(domain(g),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_365812,c_355309]) ).
tcf(c_366009,plain,
defined(d,domain(domain(g))),
inference(superposition,[status(thm)],[c_84,c_365897]) ).
tcf(c_366010,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355221,c_365897]) ).
tcf(c_366011,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_365897]) ).
tcf(c_366012,plain,
( defined(d,a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_365897]) ).
tcf(c_366013,plain,
( defined(d,a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_365897]) ).
tcf(c_366014,plain,
( defined(d,c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_365897]) ).
tcf(c_366018,plain,
( defined(d,codomain(a))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_365897]) ).
tcf(c_366019,plain,
( defined(d,codomain(a))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_365897]) ).
tcf(c_366020,plain,
( defined(d,codomain(c))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_365897]) ).
tcf(c_366085,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_365891,c_81]) ).
tcf(c_366093,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366085,c_82]) ).
tcf(c_366097,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_365815,c_81]) ).
tcf(c_366098,plain,
( defined(a,compose(h,domain(g)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_365815,c_359639]) ).
tcf(c_366099,plain,
defined(b,compose(h,domain(g))),
inference(superposition,[status(thm)],[c_365815,c_355217]) ).
tcf(c_366128,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_366099,c_81]) ).
tcf(c_366137,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_365887,c_81]) ).
tcf(c_366140,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366137,c_82]) ).
tcf(c_366170,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_365889,c_81]) ).
tcf(c_366174,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366170,c_82]) ).
tcf(c_366183,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355313,c_366010]) ).
tcf(c_366194,plain,
( defined(d,codomain(a))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357967,c_366010]) ).
tcf(c_366195,plain,
( defined(d,codomain(a))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357966,c_366010]) ).
tcf(c_366196,plain,
( defined(d,codomain(c))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357968,c_366010]) ).
tcf(c_366226,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(g),X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_365816,c_80]) ).
tcf(c_366227,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_365816,c_77]) ).
tcf(c_366228,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(g))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_365816,c_79]) ).
tcf(c_366229,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(c,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365816,c_90]) ).
tcf(c_366231,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_365816,c_76]) ).
tcf(c_366232,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_365816,c_75]) ).
tcf(c_366318,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_365965,c_81]) ).
tcf(c_366336,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),c)
| ~ product(d,X1,b)
| ~ product(a,c,X0) ),
inference(superposition,[status(thm)],[c_93,c_358809]) ).
tcf(c_366337,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_94,c_358809]) ).
tcf(c_366338,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ product(d,X1,g)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_95,c_358809]) ).
tcf(c_366339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X2),compose(X0,X3))
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_73,c_358809]) ).
tcf(c_366340,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),X1)
| ~ product(X1,c,X2)
| ~ product(d,X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_86,c_358809]) ).
tcf(c_366341,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(h,X2),X0)
| ~ product(d,X2,X0)
| ~ product(codomain(X0),c,X1) ),
inference(superposition,[status(thm)],[c_87,c_358809]) ).
tcf(c_366342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X2),X3)
| ~ identity_map(X0)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_88,c_358809]) ).
tcf(c_366343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X2),X0)
| ~ identity_map(X3)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_89,c_358809]) ).
tcf(c_366344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(h,X0),X2)
| ~ product(c,c,X3)
| ~ product(d,X1,X2)
| ~ product(d,X0,compose(h,X1)) ),
inference(superposition,[status(thm)],[c_358801,c_358809]) ).
tcf(c_366345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(h,X0),compose(d,X2))
| ~ product(c,c,X3)
| ~ product(g,X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_358809]) ).
tcf(c_366346,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(h,X2),domain(X0))
| ~ product(d,X2,domain(X0))
| ~ product(domain(X0),c,X1) ),
inference(superposition,[status(thm)],[c_357696,c_358809]) ).
tcf(c_366347,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(h,X2),codomain(X0))
| ~ product(d,X2,codomain(X0))
| ~ product(codomain(X0),c,X1) ),
inference(superposition,[status(thm)],[c_357726,c_358809]) ).
tcf(c_366348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X3),X2)
| ~ defined(X0,c)
| ~ product(d,X3,h)
| ~ product(X0,d,X2)
| ~ product(compose(X0,c),c,X1) ),
inference(superposition,[status(thm)],[c_358573,c_358809]) ).
tcf(c_366349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X3),X2)
| ~ defined(X0,c)
| ~ product(d,X3,g)
| ~ product(X0,d,X2)
| ~ product(compose(X0,c),c,X1) ),
inference(superposition,[status(thm)],[c_358636,c_358809]) ).
tcf(c_366350,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),domain(h))
| ~ identity_map(d)
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_361164,c_358809]) ).
tcf(c_366351,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(h)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_359038,c_358809]) ).
tcf(c_366352,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(g)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_358661,c_358809]) ).
tcf(c_366353,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ product(c,c,X1)
| ~ product(d,X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_358660,c_358809]) ).
tcf(c_366354,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),domain(g))
| ~ identity_map(d)
| ~ product(d,X1,g)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359503,c_358809]) ).
tcf(c_366355,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ identity_map(c)
| ~ product(d,X1,h)
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_360732,c_358809]) ).
tcf(c_366356,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ identity_map(c)
| ~ product(d,X1,g)
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_362335,c_358809]) ).
tcf(c_366357,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ product(d,c,X1)
| ~ product(d,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_361206,c_358809]) ).
tcf(c_366358,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(g)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_363053,c_358809]) ).
tcf(c_366359,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(h)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_361218,c_358809]) ).
tcf(c_366360,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ product(d,c,X1)
| ~ product(d,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_365804,c_358809]) ).
tcf(c_366361,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(h)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_365816,c_358809]) ).
tcf(c_366362,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ product(c,c,X1)
| ~ product(d,X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_363052,c_358809]) ).
tcf(c_366579,plain,
defined(h,domain(domain(g))),
inference(superposition,[status(thm)],[c_84,c_366093]) ).
tcf(c_366580,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355221,c_366093]) ).
tcf(c_366581,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366093]) ).
tcf(c_366582,plain,
( defined(h,a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_366093]) ).
tcf(c_366583,plain,
( defined(h,a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_366093]) ).
tcf(c_366584,plain,
( defined(h,c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_366093]) ).
tcf(c_366589,plain,
( defined(h,codomain(a))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_366093]) ).
tcf(c_366590,plain,
( defined(h,codomain(a))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_366093]) ).
tcf(c_366591,plain,
( defined(h,codomain(c))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_366093]) ).
tcf(c_366692,plain,
( defined(b,domain(domain(g)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_84,c_366140]) ).
tcf(c_366693,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355221,c_366140]) ).
tcf(c_366694,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366140]) ).
tcf(c_366695,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_366140]) ).
tcf(c_366696,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_366140]) ).
tcf(c_366697,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_366140]) ).
tcf(c_366702,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_366140]) ).
tcf(c_366703,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_366140]) ).
tcf(c_366704,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_366140]) ).
tcf(c_366746,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355313,c_366580]) ).
tcf(c_366757,plain,
( defined(h,codomain(a))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357967,c_366580]) ).
tcf(c_366758,plain,
( defined(h,codomain(a))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357966,c_366580]) ).
tcf(c_366759,plain,
( defined(h,codomain(c))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_357968,c_366580]) ).
tcf(c_366789,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_365968,c_81]) ).
tcf(c_366805,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_365969,c_81]) ).
tcf(c_366824,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_366183]) ).
tcf(c_366825,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ defined(g,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_366183]) ).
tcf(c_366826,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_366183,c_81]) ).
tcf(c_366828,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_366183,c_360167]) ).
tcf(c_366830,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_366183,c_359797]) ).
tcf(c_366831,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_366183,c_355219]) ).
tcf(c_366845,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366826,c_83]) ).
tcf(c_366875,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_366194,c_81]) ).
tcf(c_366877,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366194,c_360167]) ).
tcf(c_366879,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366194,c_359797]) ).
tcf(c_366880,plain,
( defined(g,codomain(a))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366194,c_355219]) ).
tcf(c_366890,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366875,c_83]) ).
tcf(c_366898,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_366195,c_81]) ).
tcf(c_366900,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366195,c_360167]) ).
tcf(c_366902,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366195,c_359797]) ).
tcf(c_366903,plain,
( defined(g,codomain(a))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366195,c_355219]) ).
tcf(c_366913,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366898,c_83]) ).
tcf(c_366941,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(c))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_366196,c_81]) ).
tcf(c_366943,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366196,c_360167]) ).
tcf(c_366945,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366196,c_359797]) ).
tcf(c_366946,plain,
( defined(g,codomain(c))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366196,c_355219]) ).
tcf(c_366956,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366941,c_83]) ).
tcf(c_366965,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_366746]) ).
tcf(c_366966,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ defined(g,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_366746]) ).
tcf(c_366967,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_366746,c_81]) ).
tcf(c_366978,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366967,c_83]) ).
tcf(c_367002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,compose(compose(h,X0),X1),X3)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_358810]) ).
tcf(c_367003,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,compose(h,X1),X2)
| ~ product(d,X1,X0)
| ~ product(X0,domain(compose(h,X1)),X2) ),
inference(superposition,[status(thm)],[c_86,c_358810]) ).
tcf(c_367004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X1,X3)
| ~ identity_map(compose(h,X0))
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_358810]) ).
tcf(c_367005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,compose(h,X0),X3)
| ~ identity_map(X1)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_358810]) ).
tcf(c_367006,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ defined(h,c)
| ~ product(d,c,X0)
| ~ product(h,d,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_358573,c_358810]) ).
tcf(c_367007,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ defined(h,c)
| ~ product(d,c,X0)
| ~ product(h,d,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_358636,c_358810]) ).
tcf(c_367008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X2)
| ~ product(h,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_357586,c_358810]) ).
tcf(c_367127,plain,
( defined(c,domain(domain(g)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_84,c_366174]) ).
tcf(c_367128,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355221,c_366174]) ).
tcf(c_367129,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366174]) ).
tcf(c_367130,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_356008,c_366174]) ).
tcf(c_367131,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_355486,c_366174]) ).
tcf(c_367132,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_355487,c_366174]) ).
tcf(c_367138,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_366174]) ).
tcf(c_367139,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_366174]) ).
tcf(c_367140,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_366174]) ).
tcf(c_367177,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_366757,c_81]) ).
tcf(c_367184,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367177,c_83]) ).
tcf(c_367192,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_366758,c_81]) ).
tcf(c_367199,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367192,c_83]) ).
tcf(c_367207,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(c))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_366759,c_81]) ).
tcf(c_367214,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367207,c_83]) ).
tcf(c_367222,plain,
defined(d,codomain(domain(domain(g)))),
inference(superposition,[status(thm)],[c_84,c_366011]) ).
tcf(c_367224,plain,
! [X0: $i] :
( defined(d,codomain(codomain(X0)))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366011]) ).
tcf(c_367232,plain,
defined(d,codomain(domain(g))),
inference(superposition,[status(thm)],[c_357697,c_366011]) ).
tcf(c_367233,plain,
( defined(d,codomain(codomain(a)))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_366011]) ).
tcf(c_367234,plain,
( defined(d,codomain(codomain(a)))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_366011]) ).
tcf(c_367235,plain,
( defined(d,codomain(codomain(c)))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_366011]) ).
tcf(c_367270,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,c),compose(h,X0))
| ~ defined(X2,c)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_358811]) ).
tcf(c_367271,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(h,X0))
| ~ defined(codomain(c),X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_358811]) ).
tcf(c_367272,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(X2)
| ~ defined(X2,c)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_358811]) ).
tcf(c_367273,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(h,X0))
| ~ identity_map(c)
| ~ defined(X2,c)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_358811]) ).
tcf(c_367274,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(d,X2),compose(h,X0))
| ~ defined(c,X1)
| ~ product(g,X2,c)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_358811]) ).
tcf(c_367313,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_366098,c_81]) ).
tcf(c_367322,plain,
defined(h,codomain(domain(domain(g)))),
inference(superposition,[status(thm)],[c_84,c_366581]) ).
tcf(c_367324,plain,
! [X0: $i] :
( defined(h,codomain(codomain(X0)))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366581]) ).
tcf(c_367332,plain,
defined(h,codomain(domain(g))),
inference(superposition,[status(thm)],[c_357697,c_366581]) ).
tcf(c_367333,plain,
( defined(h,codomain(codomain(a)))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_366581]) ).
tcf(c_367334,plain,
( defined(h,codomain(codomain(a)))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_366581]) ).
tcf(c_367335,plain,
( defined(h,codomain(codomain(c)))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_366581]) ).
tcf(c_367374,plain,
! [X0: $i,X1: $i] :
( ( compose(c,compose(h,X0)) = X1 )
| ~ product(d,X0,X1)
| ~ defined(c,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_73,c_358812]) ).
tcf(c_367375,plain,
! [X0: $i,X1: $i] :
( ( compose(h,X0) = X1 )
| ~ identity_map(c)
| ~ product(d,X0,X1)
| ~ defined(c,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_88,c_358812]) ).
tcf(c_367376,plain,
! [X0: $i,X1: $i] :
( ( X1 = c )
| ~ identity_map(compose(h,X0))
| ~ product(d,X0,X1)
| ~ defined(c,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_89,c_358812]) ).
tcf(c_367377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ product(d,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_358812]) ).
tcf(c_367378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(d,X0) = X2 )
| ~ product(d,X1,X2)
| ~ product(g,X0,compose(h,X1)) ),
inference(superposition,[status(thm)],[c_359369,c_358812]) ).
tcf(c_367379,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(c,h,X1)
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_357586,c_358812]) ).
tcf(c_367412,plain,
( product(c,compose(g,domain(g)),d)
| ~ defined(g,domain(g)) ),
inference(superposition,[status(thm)],[c_73,c_365799]) ).
tcf(c_367414,plain,
( product(c,domain(g),d)
| ~ identity_map(g)
| ~ defined(g,domain(g)) ),
inference(superposition,[status(thm)],[c_88,c_365799]) ).
tcf(c_367416,plain,
product(c,compose(g,domain(g)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_367412,c_84]) ).
tcf(c_367417,plain,
( product(c,domain(g),d)
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367414,c_84]) ).
tcf(c_367425,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),d)
| ~ identity_map(g)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_367417,c_358809]) ).
tcf(c_367426,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(g),X2)
| ~ identity_map(g)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_367417,c_80]) ).
tcf(c_367427,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ identity_map(g)
| ~ product(d,X0,X2)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_367417,c_77]) ).
tcf(c_367428,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(g))
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_367417,c_79]) ).
tcf(c_367429,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(g)
| ~ product(c,domain(g),X0) ),
inference(superposition,[status(thm)],[c_367417,c_90]) ).
tcf(c_367431,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ product(domain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_367417,c_76]) ).
tcf(c_367432,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_367417,c_75]) ).
tcf(c_367558,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,compose(compose(h,X0),X1))
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_358814]) ).
tcf(c_367559,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(h,X1))
| ~ product(d,X1,X0)
| ~ defined(X0,domain(compose(h,X1))) ),
inference(superposition,[status(thm)],[c_86,c_358814]) ).
tcf(c_367560,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ defined(X2,X1)
| ~ identity_map(compose(h,X0))
| ~ product(d,X0,X2)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_358814]) ).
tcf(c_367561,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(X1)
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_358814]) ).
tcf(c_367562,plain,
! [X0: $i,X1: $i] :
( defined(c,X0)
| ~ defined(h,c)
| ~ defined(X1,h)
| ~ product(d,c,X1)
| ~ product(h,d,X0) ),
inference(superposition,[status(thm)],[c_358573,c_358814]) ).
tcf(c_367563,plain,
! [X0: $i,X1: $i] :
( defined(c,X0)
| ~ defined(h,c)
| ~ defined(X1,g)
| ~ product(d,c,X1)
| ~ product(h,d,X0) ),
inference(superposition,[status(thm)],[c_358636,c_358814]) ).
tcf(c_367564,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(X0,X1)
| ~ product(h,X1,X2)
| ~ product(d,domain(h),X0) ),
inference(superposition,[status(thm)],[c_357586,c_358814]) ).
tcf(c_367650,plain,
( defined(b,domain(codomain(a)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_357929]) ).
tcf(c_367652,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357929]) ).
tcf(c_367654,plain,
( defined(b,c)
| ~ identity_map(a)
| ~ defined(c,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_357929]) ).
tcf(c_367655,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(c,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_357929]) ).
tcf(c_367656,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(c,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_357929]) ).
tcf(c_367685,plain,
( defined(b,domain(codomain(a)))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_84,c_357942]) ).
tcf(c_367687,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357942]) ).
tcf(c_367689,plain,
( defined(b,c)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_357942]) ).
tcf(c_367690,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_357942]) ).
tcf(c_367691,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_357942]) ).
tcf(c_367695,plain,
( defined(b,codomain(c))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_357942]) ).
tcf(c_367728,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(g)
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_361800]) ).
tcf(c_367729,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_361800]) ).
tcf(c_367730,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_361800,c_81]) ).
tcf(c_367738,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(g)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367730,c_83]) ).
tcf(c_367749,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(g)
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_361802]) ).
tcf(c_367750,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_361802]) ).
tcf(c_367751,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_361802,c_81]) ).
tcf(c_367760,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(g)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367751,c_83]) ).
tcf(c_367771,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362304,c_81]) ).
tcf(c_367773,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367771,c_83]) ).
tcf(c_367784,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362306,c_81]) ).
tcf(c_367787,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367784,c_83]) ).
tcf(c_367798,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362405,c_81]) ).
tcf(c_367800,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367798,c_83]) ).
tcf(c_367811,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_362407,c_81]) ).
tcf(c_367814,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367811,c_83]) ).
tcf(c_367825,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,X0),X1)
| ~ defined(d,X0)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_358815]) ).
tcf(c_367826,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_86,c_358815]) ).
tcf(c_367827,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,X0),X1)
| ~ identity_map(d)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_358815]) ).
tcf(c_367828,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,X0),X1)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_89,c_358815]) ).
tcf(c_367829,plain,
! [X0: $i] :
( defined(compose(h,domain(h)),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_361206,c_358815]) ).
tcf(c_367830,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_365804,c_358815]) ).
tcf(c_367866,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(d)),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_367826,c_81]) ).
tcf(c_367867,plain,
( defined(compose(h,domain(d)),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_367826,c_355308]) ).
tcf(c_367868,plain,
( defined(compose(h,domain(d)),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367826,c_363910]) ).
tcf(c_367869,plain,
( defined(compose(h,domain(d)),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367826,c_363909]) ).
tcf(c_367870,plain,
( defined(compose(h,domain(d)),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367826,c_356224]) ).
tcf(c_367871,plain,
( defined(compose(h,domain(d)),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367826,c_355309]) ).
tcf(c_367873,plain,
( defined(compose(h,domain(d)),c)
| ~ identity_map(d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_367826,c_359527]) ).
tcf(c_367886,plain,
( defined(compose(h,domain(d)),c)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367873,c_365813]) ).
tcf(c_367899,plain,
( defined(b,domain(codomain(c)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_357955]) ).
tcf(c_367901,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_357955]) ).
tcf(c_367905,plain,
( defined(b,c)
| ~ identity_map(c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_357955]) ).
tcf(c_367906,plain,
( defined(b,a)
| ~ identity_map(c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_357955]) ).
tcf(c_367951,plain,
! [X0: $i] :
( defined(X0,domain(codomain(a)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_84,c_358050]) ).
tcf(c_367953,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358050]) ).
tcf(c_367955,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_358050]) ).
tcf(c_367956,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_358050]) ).
tcf(c_367957,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(a)
| ~ defined(a,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359294,c_358050]) ).
tcf(c_367983,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_367886,c_81]) ).
tcf(c_367984,plain,
( defined(compose(h,domain(d)),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_367886,c_355308]) ).
tcf(c_368008,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_367984,c_81]) ).
tcf(c_368018,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(g)),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_367830,c_81]) ).
tcf(c_368019,plain,
( defined(compose(h,domain(g)),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_367830,c_355308]) ).
tcf(c_368020,plain,
( defined(compose(h,domain(g)),g)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367830,c_363910]) ).
tcf(c_368021,plain,
( defined(compose(h,domain(g)),h)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367830,c_363909]) ).
tcf(c_368022,plain,
( defined(compose(h,domain(g)),a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367830,c_356224]) ).
tcf(c_368023,plain,
( defined(compose(h,domain(g)),c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367830,c_355309]) ).
tcf(c_368025,plain,
( defined(compose(h,domain(g)),c)
| ~ identity_map(d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_367830,c_359527]) ).
tcf(c_368038,plain,
( defined(compose(h,domain(g)),c)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_368025,c_365813]) ).
tcf(c_368062,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_368038,c_81]) ).
tcf(c_368063,plain,
( defined(compose(h,domain(g)),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_368038,c_355308]) ).
tcf(c_368147,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_368063,c_81]) ).
tcf(c_368156,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_367867,c_81]) ).
tcf(c_368165,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_367870,c_81]) ).
tcf(c_368174,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_367871,c_81]) ).
tcf(c_368180,plain,
( defined(b,c)
| ~ identity_map(c) ),
inference(global_subsumption_just,[status(thm)],[c_367905,c_75708]) ).
tcf(c_368186,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_368180,c_81]) ).
tcf(c_368187,plain,
( defined(a,c)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_368180,c_355339]) ).
tcf(c_368188,plain,
( defined(b,a)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_368180,c_355308]) ).
tcf(c_368189,plain,
( defined(a,a)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_368180,c_359571]) ).
tcf(c_368205,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(c)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_368188,c_81]) ).
tcf(c_368211,plain,
product(c,h,compose(codomain(c),d)),
inference(global_subsumption_just,[status(thm)],[c_358857,c_4849,c_14863]) ).
tcf(c_368213,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),compose(codomain(c),d))
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_368211,c_358809]) ).
tcf(c_368214,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,h,X1)
| ~ product(X0,c,X2)
| ~ product(X0,compose(codomain(c),d),X1) ),
inference(superposition,[status(thm)],[c_368211,c_80]) ).
tcf(c_368215,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ product(h,X0,X2)
| ~ product(compose(codomain(c),d),X0,X1) ),
inference(superposition,[status(thm)],[c_368211,c_77]) ).
tcf(c_368216,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ product(X0,c,X1)
| ~ defined(X0,compose(codomain(c),d)) ),
inference(superposition,[status(thm)],[c_368211,c_79]) ).
tcf(c_368217,plain,
! [X0: $i] :
( ( compose(codomain(c),d) = X0 )
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_368211,c_90]) ).
tcf(c_368218,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,compose(codomain(c),d)) ),
inference(superposition,[status(thm)],[c_368211,c_78]) ).
tcf(c_368220,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(compose(codomain(c),d),X0) ),
inference(superposition,[status(thm)],[c_368211,c_75]) ).
tcf(c_368222,plain,
compose(codomain(c),d) = d,
inference(superposition,[status(thm)],[c_368211,c_355384]) ).
tcf(c_368595,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(X0,X1)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_86,c_76]) ).
tcf(c_368641,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X0,X1)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_87,c_79]) ).
tcf(c_369489,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(domain(X0),X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_368595,c_767,c_876,c_307049]) ).
tcf(c_369666,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ product(X0,codomain(X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_368641,c_1163,c_163138,c_309689]) ).
tcf(c_369850,plain,
! [X0: $i] :
( defined(X0,domain(codomain(a)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_84,c_358150]) ).
tcf(c_369852,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358150]) ).
tcf(c_369855,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359295,c_358150]) ).
tcf(c_369856,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(a)
| ~ defined(a,c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_358150]) ).
tcf(c_369860,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_358150]) ).
tcf(c_369877,plain,
( product(codomain(c),d,d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_368222,c_73]) ).
tcf(c_369886,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(c)
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_368187,c_81]) ).
tcf(c_369971,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_368019,c_81]) ).
tcf(c_369980,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_368022,c_81]) ).
tcf(c_369989,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_368023,c_81]) ).
tcf(c_369995,plain,
product(codomain(c),d,d),
inference(global_subsumption_just,[status(thm)],[c_369877,c_17172]) ).
tcf(c_369997,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ product(d,X1,d)
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_369995,c_358809]) ).
tcf(c_369998,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,d,X2)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_369995,c_80]) ).
tcf(c_369999,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(c),X1,X2)
| ~ product(d,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_369995,c_77]) ).
tcf(c_370000,plain,
! [X0: $i,X1: $i] :
( defined(X1,d)
| ~ defined(X0,d)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_369995,c_79]) ).
tcf(c_370001,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_369995,c_90]) ).
tcf(c_370003,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ defined(d,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_369995,c_76]) ).
tcf(c_370005,plain,
defined(codomain(c),d),
inference(superposition,[status(thm)],[c_369995,c_74]) ).
tcf(c_370008,plain,
( product(codomain(c),g,d)
| ~ identity_map(c)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_369995,c_358639]) ).
tcf(c_370010,plain,
( product(codomain(c),h,d)
| ~ identity_map(c)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_369995,c_358576]) ).
tcf(c_370014,plain,
( product(codomain(c),h,d)
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_370010,c_85]) ).
tcf(c_370017,plain,
( product(codomain(c),g,d)
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_370008,c_85]) ).
tcf(c_370036,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370005,c_81]) ).
tcf(c_370037,plain,
( defined(h,d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370005,c_356115]) ).
tcf(c_370038,plain,
( defined(g,d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370005,c_356106]) ).
tcf(c_370039,plain,
( defined(b,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_370005,c_356097]) ).
tcf(c_370040,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370005,c_355510]) ).
tcf(c_370041,plain,
( defined(codomain(c),g)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370005,c_363910]) ).
tcf(c_370042,plain,
( defined(codomain(c),h)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370005,c_363909]) ).
tcf(c_370044,plain,
defined(codomain(c),c),
inference(superposition,[status(thm)],[c_370005,c_355309]) ).
tcf(c_370045,plain,
( defined(b,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_370005,c_357955]) ).
tcf(c_370046,plain,
( defined(h,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_370005,c_356796]) ).
tcf(c_370047,plain,
( defined(d,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370005,c_362280]) ).
tcf(c_370048,plain,
( defined(h,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370005,c_362129]) ).
tcf(c_370049,plain,
( defined(g,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370005,c_360544]) ).
tcf(c_370157,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370047,c_360332]) ).
tcf(c_370158,plain,
( defined(b,d)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_370047,c_360167]) ).
tcf(c_370159,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370047,c_360042]) ).
tcf(c_370160,plain,
( defined(c,d)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_370047,c_359797]) ).
tcf(c_370163,plain,
( defined(d,g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_363910]) ).
tcf(c_370164,plain,
( defined(d,h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_363909]) ).
tcf(c_370167,plain,
( defined(h,g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_364608]) ).
tcf(c_370168,plain,
( defined(h,h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_364607]) ).
tcf(c_370169,plain,
( defined(g,g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_364483]) ).
tcf(c_370170,plain,
( defined(g,h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370047,c_364482]) ).
tcf(c_370315,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370048,c_81]) ).
tcf(c_370341,plain,
( product(c,h,codomain(c))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_358859,c_4851,c_14863]) ).
tcf(c_370347,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),codomain(c))
| ~ identity_map(d)
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_370341,c_358809]) ).
tcf(c_370348,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,h,X1)
| ~ identity_map(d)
| ~ product(X0,c,X2)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_370341,c_80]) ).
tcf(c_370349,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ identity_map(d)
| ~ product(h,X0,X2)
| ~ product(codomain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_370341,c_77]) ).
tcf(c_370350,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(d)
| ~ defined(X0,codomain(c))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_370341,c_79]) ).
tcf(c_370351,plain,
! [X0: $i] :
( ( codomain(c) = X0 )
| ~ identity_map(d)
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_370341,c_90]) ).
tcf(c_370352,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_370341,c_78]) ).
tcf(c_370353,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(codomain(c),X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_370341,c_76]) ).
tcf(c_370356,plain,
( ( codomain(c) = d )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370341,c_355384]) ).
tcf(c_370402,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_370036,c_81]) ).
tcf(c_370403,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_356115]) ).
tcf(c_370404,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_356106]) ).
tcf(c_370405,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_356097]) ).
tcf(c_370406,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370036,c_355510]) ).
tcf(c_370408,plain,
( defined(codomain(c),g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_370036,c_363910]) ).
tcf(c_370409,plain,
( defined(codomain(c),h)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_370036,c_363909]) ).
tcf(c_370411,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_370036,c_355309]) ).
tcf(c_370412,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_357955]) ).
tcf(c_370413,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_356796]) ).
tcf(c_370416,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_360544]) ).
tcf(c_370417,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_370036,c_361174]) ).
tcf(c_370418,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_370036,c_359527]) ).
tcf(c_370601,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,codomain(c)) ),
inference(global_subsumption_just,[status(thm)],[c_370352,c_194201]) ).
tcf(c_370607,plain,
defined(codomain(codomain(c)),c),
inference(superposition,[status(thm)],[c_85,c_370601]) ).
tcf(c_370608,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_355221,c_370601]) ).
tcf(c_370610,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_355338,c_370601]) ).
tcf(c_370611,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_370036,c_370601]) ).
tcf(c_370612,plain,
( defined(codomain(c),c)
| ~ identity_map(a)
| ~ defined(a,codomain(c)) ),
inference(superposition,[status(thm)],[c_355458,c_370601]) ).
tcf(c_370615,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361800,c_370601]) ).
tcf(c_370616,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357533,c_370601]) ).
tcf(c_370617,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357531,c_370601]) ).
tcf(c_370618,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357433,c_370601]) ).
tcf(c_370619,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_357431,c_370601]) ).
tcf(c_370620,plain,
( defined(b,c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_355501,c_370601]) ).
tcf(c_370621,plain,
( defined(g,c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361697,c_370601]) ).
tcf(c_370622,plain,
( defined(g,c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355502,c_370601]) ).
tcf(c_370623,plain,
( defined(h,c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366746,c_370601]) ).
tcf(c_370624,plain,
( defined(h,c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_355503,c_370601]) ).
tcf(c_370625,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_356616,c_370601]) ).
tcf(c_370626,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_356612,c_370601]) ).
tcf(c_370627,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361802,c_370601]) ).
tcf(c_370628,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357047,c_370601]) ).
tcf(c_370629,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357045,c_370601]) ).
tcf(c_370630,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356892,c_370601]) ).
tcf(c_370631,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_356890,c_370601]) ).
tcf(c_370632,plain,
( defined(domain(h),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_361214,c_370601]) ).
tcf(c_370633,plain,
( defined(domain(g),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_365812,c_370601]) ).
tcf(c_370654,plain,
( defined(d,c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366183,c_370601]) ).
tcf(c_370655,plain,
( defined(d,c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361405,c_370601]) ).
tcf(c_370659,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_358670,c_370601]) ).
tcf(c_370660,plain,
( defined(compose(h,domain(d)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_367826,c_370601]) ).
tcf(c_370664,plain,
( defined(compose(h,domain(g)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_367830,c_370601]) ).
tcf(c_370665,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_363062,c_370601]) ).
tcf(c_370869,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355221,c_370040]) ).
tcf(c_370870,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355338,c_370040]) ).
tcf(c_370871,plain,
( defined(a,d)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_368187,c_370040]) ).
tcf(c_370874,plain,
defined(codomain(d),d),
inference(superposition,[status(thm)],[c_355466,c_370040]) ).
tcf(c_370875,plain,
( defined(codomain(d),d)
| ~ identity_map(a)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_355477,c_370040]) ).
tcf(c_370876,plain,
( defined(codomain(d),d)
| ~ identity_map(c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_355472,c_370040]) ).
tcf(c_370877,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_355487,c_370040]) ).
tcf(c_370881,plain,
( defined(b,d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_368180,c_370040]) ).
tcf(c_370886,plain,
( defined(domain(h),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_361214,c_370040]) ).
tcf(c_370887,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_370040]) ).
tcf(c_370888,plain,
( defined(domain(g),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_365812,c_370040]) ).
tcf(c_370889,plain,
( defined(compose(g,domain(d)),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358670,c_370040]) ).
tcf(c_370890,plain,
( defined(compose(g,domain(d)),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361911,c_370040]) ).
tcf(c_370891,plain,
( defined(compose(g,domain(d)),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358884,c_370040]) ).
tcf(c_370892,plain,
( defined(domain(h),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361891,c_370040]) ).
tcf(c_370893,plain,
( defined(domain(h),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361274,c_370040]) ).
tcf(c_370894,plain,
( defined(domain(g),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_365969,c_370040]) ).
tcf(c_370895,plain,
( defined(domain(g),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360384,c_370040]) ).
tcf(c_370896,plain,
( defined(compose(h,domain(d)),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_367826,c_370040]) ).
tcf(c_370897,plain,
( defined(compose(h,domain(d)),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_367871,c_370040]) ).
tcf(c_370898,plain,
( defined(compose(h,domain(d)),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_367886,c_370040]) ).
tcf(c_370899,plain,
( defined(compose(h,domain(g)),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_367830,c_370040]) ).
tcf(c_370900,plain,
( defined(compose(h,domain(g)),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_368023,c_370040]) ).
tcf(c_370901,plain,
( defined(compose(h,domain(g)),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_368038,c_370040]) ).
tcf(c_370902,plain,
( defined(compose(g,domain(h)),d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_363062,c_370040]) ).
tcf(c_370903,plain,
( defined(compose(g,domain(h)),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_363147,c_370040]) ).
tcf(c_370904,plain,
( defined(compose(g,domain(h)),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_363159,c_370040]) ).
tcf(c_370968,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370881,c_81]) ).
tcf(c_370984,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_370041,c_81]) ).
tcf(c_370985,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370041,c_356115]) ).
tcf(c_370986,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370041,c_356106]) ).
tcf(c_370988,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370041,c_355510]) ).
tcf(c_371023,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_370042,c_81]) ).
tcf(c_371024,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370042,c_356115]) ).
tcf(c_371025,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370042,c_356106]) ).
tcf(c_371027,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370042,c_355510]) ).
tcf(c_371046,plain,
product(c,g,compose(codomain(c),d)),
inference(global_subsumption_just,[status(thm)],[c_358869,c_4861,c_14863]) ).
tcf(c_371049,plain,
( ( domain(a) = a )
| ~ identity_map(a) ),
inference(global_subsumption_just,[status(thm)],[c_358205,c_3060]) ).
tcf(c_371058,plain,
( ( domain(a) = a )
| ~ identity_map(c)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_368189,c_358206]) ).
tcf(c_371059,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(codomain(X0))
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355313,c_358206]) ).
tcf(c_371060,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_358107,c_358206]) ).
tcf(c_371061,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_358007,c_358206]) ).
tcf(c_371062,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357938,c_358206]) ).
tcf(c_371063,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357925,c_358206]) ).
tcf(c_371064,plain,
( ( domain(a) = b )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_355191,c_358206]) ).
tcf(c_371065,plain,
( ( domain(a) = c )
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_368187,c_358206]) ).
tcf(c_371068,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(b)
| ~ identity_map(domain(b)) ),
inference(superposition,[status(thm)],[c_356611,c_358206]) ).
tcf(c_371069,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_356616,c_358206]) ).
tcf(c_371070,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_356612,c_358206]) ).
tcf(c_371071,plain,
( ( domain(a) = domain(c) )
| ~ identity_map(b)
| ~ identity_map(domain(c)) ),
inference(superposition,[status(thm)],[c_356613,c_358206]) ).
tcf(c_371072,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(b)
| ~ identity_map(codomain(c))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_358297,c_358206]) ).
tcf(c_371073,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(b)
| ~ identity_map(codomain(c))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357951,c_358206]) ).
tcf(c_371074,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_357967,c_358206]) ).
tcf(c_371075,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_357966,c_358206]) ).
tcf(c_371076,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_357968,c_358206]) ).
tcf(c_371077,plain,
( ( compose(g,domain(d)) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_358793,c_358206]) ).
tcf(c_371078,plain,
! [X0: $i] :
( ( compose(b,X0) = domain(a) )
| ~ defined(b,X0)
| ~ identity_map(compose(b,X0)) ),
inference(superposition,[status(thm)],[c_363567,c_358206]) ).
tcf(c_371079,plain,
( ( compose(h,domain(d)) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_359204,c_358206]) ).
tcf(c_371080,plain,
( ( compose(h,domain(g)) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_366098,c_358206]) ).
tcf(c_371081,plain,
( ( compose(g,domain(h)) = domain(a) )
| ~ identity_map(b)
| ~ identity_map(compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_363133,c_358206]) ).
tcf(c_371087,plain,
( ( domain(a) = domain(c) )
| ~ identity_map(b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371071,c_82]) ).
tcf(c_371090,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371068,c_82]) ).
tcf(c_371093,plain,
( ( domain(a) = codomain(c) )
| ~ defined(a,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371076,c_83]) ).
tcf(c_371096,plain,
( ( domain(a) = codomain(a) )
| ~ defined(a,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371075,c_83]) ).
tcf(c_371099,plain,
( ( domain(a) = codomain(a) )
| ~ defined(a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371074,c_83]) ).
tcf(c_371102,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ defined(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371059,c_83]) ).
tcf(c_371124,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371073,c_83]) ).
tcf(c_371128,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371072,c_83]) ).
tcf(c_371132,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371070,c_83]) ).
tcf(c_371136,plain,
! [X0: $i] :
( ( codomain(X0) = domain(a) )
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371069,c_83]) ).
tcf(c_371140,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371063,c_83]) ).
tcf(c_371144,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371062,c_83]) ).
tcf(c_371148,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371061,c_83]) ).
tcf(c_371152,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371060,c_83]) ).
tcf(c_371377,plain,
( ( domain(b) = b )
| ~ identity_map(b) ),
inference(global_subsumption_just,[status(thm)],[c_358218,c_75711]) ).
tcf(c_371386,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_355313,c_358219]) ).
tcf(c_371387,plain,
( ( domain(b) = a )
| ~ identity_map(c)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_368188,c_358219]) ).
tcf(c_371388,plain,
( ( domain(b) = a )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_361930,c_358219]) ).
tcf(c_371389,plain,
( ( domain(b) = a )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_360477,c_358219]) ).
tcf(c_371390,plain,
( ( domain(b) = domain(c) )
| ~ identity_map(domain(c)) ),
inference(superposition,[status(thm)],[c_355244,c_358219]) ).
tcf(c_371391,plain,
( ( domain(b) = h )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_355245,c_358219]) ).
tcf(c_371392,plain,
( ( domain(b) = g )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_355246,c_358219]) ).
tcf(c_371393,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361800,c_358219]) ).
tcf(c_371394,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_357533,c_358219]) ).
tcf(c_371395,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_357531,c_358219]) ).
tcf(c_371396,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_357433,c_358219]) ).
tcf(c_371397,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_357431,c_358219]) ).
tcf(c_371398,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355501,c_358219]) ).
tcf(c_371399,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_362405,c_358219]) ).
tcf(c_371400,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_362304,c_358219]) ).
tcf(c_371401,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358475,c_358219]) ).
tcf(c_371402,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358426,c_358219]) ).
tcf(c_371403,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_358112,c_358219]) ).
tcf(c_371404,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_358110,c_358219]) ).
tcf(c_371405,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_358012,c_358219]) ).
tcf(c_371406,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_358010,c_358219]) ).
tcf(c_371407,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_357435,c_358219]) ).
tcf(c_371408,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357434,c_358219]) ).
tcf(c_371409,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(a)) ),
inference(superposition,[status(thm)],[c_362255,c_358219]) ).
tcf(c_371410,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(a)) ),
inference(superposition,[status(thm)],[c_360579,c_358219]) ).
tcf(c_371411,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357908,c_358219]) ).
tcf(c_371412,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357907,c_358219]) ).
tcf(c_371413,plain,
( ( domain(b) = c )
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_368180,c_358219]) ).
tcf(c_371414,plain,
( ( domain(b) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_361890,c_358219]) ).
tcf(c_371415,plain,
( ( domain(b) = c )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360383,c_358219]) ).
tcf(c_371416,plain,
( ( domain(b) = domain(h) )
| ~ identity_map(g)
| ~ identity_map(domain(h)) ),
inference(superposition,[status(thm)],[c_361240,c_358219]) ).
tcf(c_371417,plain,
( ( domain(b) = domain(h) )
| ~ identity_map(h)
| ~ identity_map(domain(h)) ),
inference(superposition,[status(thm)],[c_357013,c_358219]) ).
tcf(c_371418,plain,
( ( domain(b) = domain(d) )
| ~ identity_map(g)
| ~ identity_map(domain(d)) ),
inference(superposition,[status(thm)],[c_357196,c_358219]) ).
tcf(c_371419,plain,
( ( domain(b) = domain(d) )
| ~ identity_map(h)
| ~ identity_map(domain(d)) ),
inference(superposition,[status(thm)],[c_357145,c_358219]) ).
tcf(c_371420,plain,
( ( domain(b) = domain(g) )
| ~ identity_map(h)
| ~ identity_map(domain(g)) ),
inference(superposition,[status(thm)],[c_365887,c_358219]) ).
tcf(c_371421,plain,
( ( domain(b) = domain(g) )
| ~ identity_map(g)
| ~ identity_map(domain(g)) ),
inference(superposition,[status(thm)],[c_357133,c_358219]) ).
tcf(c_371422,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358498,c_358219]) ).
tcf(c_371423,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_358302,c_358219]) ).
tcf(c_371424,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_358300,c_358219]) ).
tcf(c_371425,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_357445,c_358219]) ).
tcf(c_371426,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(c)) ),
inference(superposition,[status(thm)],[c_362119,c_358219]) ).
tcf(c_371427,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(c)) ),
inference(superposition,[status(thm)],[c_360536,c_358219]) ).
tcf(c_371428,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357909,c_358219]) ).
tcf(c_371429,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_357967,c_358219]) ).
tcf(c_371430,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(codomain(a))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357966,c_358219]) ).
tcf(c_371431,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357968,c_358219]) ).
tcf(c_371432,plain,
( ( domain(b) = d )
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370881,c_358219]) ).
tcf(c_371433,plain,
( ( compose(g,domain(d)) = domain(b) )
| ~ identity_map(compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_358692,c_358219]) ).
tcf(c_371434,plain,
( ( compose(h,domain(d)) = domain(b) )
| ~ identity_map(compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_359133,c_358219]) ).
tcf(c_371435,plain,
! [X0: $i] :
( ( compose(h,X0) = domain(b) )
| ~ defined(d,X0)
| ~ identity_map(compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359188,c_358219]) ).
tcf(c_371436,plain,
! [X0: $i] :
( ( compose(h,X0) = domain(b) )
| ~ defined(h,X0)
| ~ identity_map(compose(h,X0)) ),
inference(superposition,[status(thm)],[c_356389,c_358219]) ).
tcf(c_371437,plain,
( ( compose(h,domain(g)) = domain(b) )
| ~ identity_map(compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_366099,c_358219]) ).
tcf(c_371438,plain,
( ( compose(g,domain(h)) = domain(b) )
| ~ identity_map(compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_363134,c_358219]) ).
tcf(c_371439,plain,
! [X0: $i] :
( ( compose(g,X0) = domain(b) )
| ~ defined(g,X0)
| ~ identity_map(compose(g,X0)) ),
inference(superposition,[status(thm)],[c_356598,c_358219]) ).
tcf(c_371446,plain,
domain(b) = domain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_371390,c_82]) ).
tcf(c_371453,plain,
( ( domain(b) = domain(g) )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371421,c_82]) ).
tcf(c_371456,plain,
( ( domain(b) = domain(g) )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371420,c_82]) ).
tcf(c_371459,plain,
( ( domain(b) = domain(d) )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371419,c_82]) ).
tcf(c_371462,plain,
( ( domain(b) = domain(d) )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371418,c_82]) ).
tcf(c_371465,plain,
( ( domain(b) = domain(h) )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371417,c_82]) ).
tcf(c_371468,plain,
( ( domain(b) = domain(h) )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371416,c_82]) ).
tcf(c_371479,plain,
( ( domain(b) = codomain(c) )
| ~ defined(b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371431,c_83]) ).
tcf(c_371482,plain,
( ( domain(b) = codomain(a) )
| ~ defined(b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371430,c_83]) ).
tcf(c_371485,plain,
( ( domain(b) = codomain(a) )
| ~ defined(b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371429,c_83]) ).
tcf(c_371488,plain,
( ( domain(b) = codomain(c) )
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371428,c_83]) ).
tcf(c_371499,plain,
( ( domain(b) = codomain(a) )
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371412,c_83]) ).
tcf(c_371502,plain,
( ( domain(b) = codomain(a) )
| ~ defined(c,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371411,c_83]) ).
tcf(c_371505,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ defined(c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371398,c_83]) ).
tcf(c_371516,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ defined(b,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371386,c_83]) ).
tcf(c_371528,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371427,c_83]) ).
tcf(c_371532,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371426,c_83]) ).
tcf(c_371536,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371410,c_83]) ).
tcf(c_371540,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371409,c_83]) ).
tcf(c_371544,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371425,c_83]) ).
tcf(c_371548,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371424,c_83]) ).
tcf(c_371552,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371423,c_83]) ).
tcf(c_371556,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371422,c_83]) ).
tcf(c_371560,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371408,c_83]) ).
tcf(c_371564,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371407,c_83]) ).
tcf(c_371568,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371406,c_83]) ).
tcf(c_371572,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371405,c_83]) ).
tcf(c_371576,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371404,c_83]) ).
tcf(c_371580,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371403,c_83]) ).
tcf(c_371584,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371402,c_83]) ).
tcf(c_371588,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371401,c_83]) ).
tcf(c_371592,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371400,c_83]) ).
tcf(c_371596,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371399,c_83]) ).
tcf(c_371600,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371397,c_83]) ).
tcf(c_371604,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371396,c_83]) ).
tcf(c_371608,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371395,c_83]) ).
tcf(c_371612,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371394,c_83]) ).
tcf(c_371616,plain,
! [X0: $i] :
( ( codomain(X0) = domain(b) )
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_371393,c_83]) ).
tcf(c_371621,plain,
( defined(b,codomain(c))
| ~ defined(domain(b),d) ),
inference(demodulation,[status(thm)],[c_358305,c_371446]) ).
tcf(c_371622,plain,
( defined(b,codomain(a))
| ~ defined(domain(b),c) ),
inference(demodulation,[status(thm)],[c_358115,c_371446]) ).
tcf(c_371623,plain,
( defined(b,codomain(a))
| ~ defined(domain(b),d) ),
inference(demodulation,[status(thm)],[c_358015,c_371446]) ).
tcf(c_371624,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(b),X0) ),
inference(demodulation,[status(thm)],[c_355546,c_371446]) ).
tcf(c_371626,plain,
( defined(b,c)
| ~ defined(domain(b),d) ),
inference(demodulation,[status(thm)],[c_356344,c_371446]) ).
tcf(c_371627,plain,
( defined(b,a)
| ~ defined(domain(b),c) ),
inference(demodulation,[status(thm)],[c_356343,c_371446]) ).
tcf(c_371628,plain,
( defined(b,a)
| ~ defined(domain(b),d) ),
inference(demodulation,[status(thm)],[c_356342,c_371446]) ).
tcf(c_371629,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(b),X0) ),
inference(demodulation,[status(thm)],[c_355367,c_371446]) ).
tcf(c_371630,plain,
defined(b,domain(b)),
inference(demodulation,[status(thm)],[c_355244,c_371446]) ).
tcf(c_371872,plain,
( defined(c,codomain(c))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_371446,c_358295]) ).
tcf(c_371873,plain,
( defined(c,codomain(a))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_371446,c_358105]) ).
tcf(c_371874,plain,
( defined(c,codomain(a))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_371446,c_358005]) ).
tcf(c_371875,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_371446,c_355774]) ).
tcf(c_371876,plain,
codomain(domain(b)) = domain(b),
inference(superposition,[status(thm)],[c_371446,c_357840]) ).
tcf(c_371877,plain,
compose(domain(b),domain(b)) = domain(b),
inference(superposition,[status(thm)],[c_371446,c_357686]) ).
tcf(c_371878,plain,
product(domain(b),domain(b),domain(b)),
inference(superposition,[status(thm)],[c_371446,c_357696]) ).
tcf(c_371879,plain,
defined(domain(b),domain(b)),
inference(superposition,[status(thm)],[c_371446,c_357697]) ).
tcf(c_371880,plain,
domain(domain(b)) = domain(b),
inference(superposition,[status(thm)],[c_371446,c_357641]) ).
tcf(c_371881,plain,
compose(c,domain(b)) = c,
inference(superposition,[status(thm)],[c_371446,c_357586]) ).
tcf(c_371882,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(c,domain(b),X0) ),
inference(superposition,[status(thm)],[c_371446,c_355387]) ).
tcf(c_371883,plain,
( defined(c,c)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_371446,c_356405]) ).
tcf(c_371884,plain,
( defined(c,a)
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_371446,c_356404]) ).
tcf(c_371885,plain,
( defined(c,a)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_371446,c_356403]) ).
tcf(c_371886,plain,
( defined(domain(b),a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371446,c_356008]) ).
tcf(c_371887,plain,
( defined(domain(b),c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371446,c_355487]) ).
tcf(c_371888,plain,
( defined(domain(b),a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_371446,c_355486]) ).
tcf(c_371889,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_371446,c_355370]) ).
tcf(c_371890,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_371446,c_355221]) ).
tcf(c_371891,plain,
product(c,domain(b),c),
inference(superposition,[status(thm)],[c_371446,c_86]) ).
tcf(c_371892,plain,
defined(c,domain(b)),
inference(superposition,[status(thm)],[c_371446,c_84]) ).
tcf(c_371893,plain,
identity_map(domain(b)),
inference(superposition,[status(thm)],[c_371446,c_82]) ).
tcf(c_371973,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_371892,c_81]) ).
tcf(c_371977,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),c)
| ~ product(c,c,X1)
| ~ product(d,X0,domain(b)) ),
inference(superposition,[status(thm)],[c_371891,c_358809]) ).
tcf(c_371978,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(b),X2)
| ~ product(X0,c,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_371891,c_80]) ).
tcf(c_371979,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ product(c,X0,X2)
| ~ product(domain(b),X0,X1) ),
inference(superposition,[status(thm)],[c_371891,c_77]) ).
tcf(c_371980,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ defined(X0,c)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_371891,c_79]) ).
tcf(c_371983,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(c,X0)
| ~ product(domain(b),X0,X1) ),
inference(superposition,[status(thm)],[c_371891,c_76]) ).
tcf(c_372006,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370892,c_81]) ).
tcf(c_372007,plain,
( defined(h,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370892,c_355774]) ).
tcf(c_372009,plain,
( defined(domain(h),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370892,c_363910]) ).
tcf(c_372010,plain,
( defined(domain(h),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370892,c_363909]) ).
tcf(c_372018,plain,
( defined(g,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370892,c_361638]) ).
tcf(c_372020,plain,
( defined(d,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370892,c_361318]) ).
tcf(c_372048,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370895,c_81]) ).
tcf(c_372051,plain,
( defined(domain(g),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370895,c_363910]) ).
tcf(c_372052,plain,
( defined(domain(g),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370895,c_363909]) ).
tcf(c_372100,plain,
( product(c,g,codomain(c))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_358871,c_4863,c_14863]) ).
tcf(c_372106,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),codomain(c))
| ~ identity_map(d)
| ~ product(d,X1,g)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_372100,c_358809]) ).
tcf(c_372107,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,g,X1)
| ~ identity_map(d)
| ~ product(X0,c,X2)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_372100,c_80]) ).
tcf(c_372108,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,X1)
| ~ identity_map(d)
| ~ product(g,X0,X2)
| ~ product(codomain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_372100,c_77]) ).
tcf(c_372109,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(d)
| ~ defined(X0,codomain(c))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_372100,c_79]) ).
tcf(c_372110,plain,
! [X0: $i] :
( ( codomain(c) = X0 )
| ~ identity_map(d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_372100,c_90]) ).
tcf(c_372112,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(codomain(c),X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_372100,c_76]) ).
tcf(c_372183,plain,
! [X0: $i] :
( defined(X0,domain(codomain(c)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_84,c_358340]) ).
tcf(c_372185,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358340]) ).
tcf(c_372188,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_370036,c_358340]) ).
tcf(c_372191,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(c)
| ~ defined(c,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_358340]) ).
tcf(c_372192,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(c)
| ~ defined(c,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_358340]) ).
tcf(c_372193,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(c)
| ~ defined(c,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359294,c_358340]) ).
tcf(c_372245,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372007,c_81]) ).
tcf(c_372246,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_372007,c_362842]) ).
tcf(c_372247,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_372007,c_362604]) ).
tcf(c_372250,plain,
( defined(b,codomain(d))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_372007,c_355343]) ).
tcf(c_372251,plain,
( defined(c,codomain(d))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_372007,c_355340]) ).
tcf(c_372264,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_372245,c_83]) ).
tcf(c_372280,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372018,c_81]) ).
tcf(c_372287,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_372280,c_83]) ).
tcf(c_372295,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372020,c_81]) ).
tcf(c_372302,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_372295,c_83]) ).
tcf(c_372310,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ identity_map(c)
| ~ product(d,X1,h)
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_370014,c_358809]) ).
tcf(c_372311,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,h,X2)
| ~ identity_map(c)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_370014,c_80]) ).
tcf(c_372312,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(c),X1,X2)
| ~ identity_map(c)
| ~ product(d,X0,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_370014,c_77]) ).
tcf(c_372313,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_370014,c_79]) ).
tcf(c_372314,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(c)
| ~ product(codomain(c),h,X0) ),
inference(superposition,[status(thm)],[c_370014,c_90]) ).
tcf(c_372315,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_370014,c_78]) ).
tcf(c_372316,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_370014,c_76]) ).
tcf(c_372454,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),d)
| ~ identity_map(c)
| ~ product(d,X1,g)
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_370017,c_358809]) ).
tcf(c_372455,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ identity_map(c)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_370017,c_80]) ).
tcf(c_372456,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(c),X2,X1)
| ~ identity_map(c)
| ~ product(g,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_370017,c_77]) ).
tcf(c_372457,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_370017,c_79]) ).
tcf(c_372458,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(c)
| ~ product(codomain(c),g,X0) ),
inference(superposition,[status(thm)],[c_370017,c_90]) ).
tcf(c_372460,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_370017,c_76]) ).
tcf(c_372495,plain,
( defined(domain(b),d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_371446,c_370869]) ).
tcf(c_372496,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357641,c_370869]) ).
tcf(c_372497,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357642,c_370869]) ).
tcf(c_372498,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_81]) ).
tcf(c_372499,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_355774]) ).
tcf(c_372501,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_363910]) ).
tcf(c_372502,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_363909]) ).
tcf(c_372504,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_355309]) ).
tcf(c_372505,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_357261]) ).
tcf(c_372506,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_357248]) ).
tcf(c_372507,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_357199]) ).
tcf(c_372508,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_357148]) ).
tcf(c_372509,plain,
( defined(g,codomain(d))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_355917]) ).
tcf(c_372510,plain,
( defined(h,codomain(d))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_355524]) ).
tcf(c_372513,plain,
( defined(h,codomain(c))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_358308]) ).
tcf(c_372514,plain,
( defined(g,codomain(c))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370869,c_358307]) ).
tcf(c_372521,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_370869,c_358295]) ).
tcf(c_372525,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_370869,c_356681]) ).
tcf(c_372526,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361396]) ).
tcf(c_372527,plain,
( defined(g,codomain(d))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361638]) ).
tcf(c_372528,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361385]) ).
tcf(c_372529,plain,
( defined(d,codomain(d))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361318]) ).
tcf(c_372530,plain,
( defined(g,d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361374]) ).
tcf(c_372531,plain,
( defined(d,d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361250]) ).
tcf(c_372532,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_357187]) ).
tcf(c_372533,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_357016]) ).
tcf(c_372534,plain,
( defined(h,codomain(d))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366581]) ).
tcf(c_372535,plain,
( defined(d,codomain(d))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366011]) ).
tcf(c_372536,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366174]) ).
tcf(c_372537,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366140]) ).
tcf(c_372538,plain,
( defined(h,d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366093]) ).
tcf(c_372539,plain,
( defined(d,d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_365897]) ).
tcf(c_372540,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_357235]) ).
tcf(c_372541,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_357136]) ).
tcf(c_372542,plain,
( defined(g,codomain(c))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361647]) ).
tcf(c_372544,plain,
( defined(d,codomain(c))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_361326]) ).
tcf(c_372546,plain,
( defined(h,codomain(c))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366591]) ).
tcf(c_372548,plain,
( defined(d,codomain(c))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370869,c_366020]) ).
tcf(c_372795,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),compose(d,X1))
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359037,c_358809]) ).
tcf(c_372796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,X2)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(X0,c,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359037,c_80]) ).
tcf(c_372797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X2)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(X0,X1,X3)
| ~ product(compose(d,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359037,c_77]) ).
tcf(c_372798,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359037,c_79]) ).
tcf(c_372799,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359037,c_90]) ).
tcf(c_372800,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359037,c_78]) ).
tcf(c_372801,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(X0,X1,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359037,c_76]) ).
tcf(c_372802,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359037,c_75]) ).
tcf(c_372804,plain,
( ( compose(d,h) = d )
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_359037,c_355384]) ).
tcf(c_372805,plain,
( ( compose(d,g) = d )
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_359037,c_355385]) ).
tcf(c_372806,plain,
( ( compose(d,domain(c)) = c )
| ~ identity_map(h)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_359037,c_355387]) ).
tcf(c_372807,plain,
( defined(compose(d,a),b)
| ~ identity_map(h)
| ~ defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359037,c_355604]) ).
tcf(c_372808,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,c),compose(h,X0))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359037,c_358811]) ).
tcf(c_372809,plain,
( defined(compose(d,c),domain(d))
| ~ identity_map(g)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359037,c_358705]) ).
tcf(c_372810,plain,
! [X0: $i] :
( product(compose(d,c),domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_358703]) ).
tcf(c_372811,plain,
( defined(compose(d,c),compose(g,domain(d)))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359037,c_358666]) ).
tcf(c_372812,plain,
! [X0: $i] :
( product(compose(d,c),compose(g,domain(d)),X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_358664]) ).
tcf(c_372813,plain,
! [X0: $i] :
( product(compose(d,c),g,X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_355715]) ).
tcf(c_372814,plain,
! [X0: $i] :
( product(compose(d,c),h,X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_355714]) ).
tcf(c_372815,plain,
( defined(compose(d,c),g)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359037,c_355606]) ).
tcf(c_372816,plain,
( defined(compose(d,c),h)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359037,c_355605]) ).
tcf(c_372817,plain,
! [X0: $i,X1: $i] :
( ( compose(d,compose(h,X0)) = X1 )
| ~ identity_map(h)
| ~ product(d,X0,X1)
| ~ defined(d,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359037,c_358812]) ).
tcf(c_372818,plain,
( product(c,g,compose(d,d))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359037,c_358639]) ).
tcf(c_372820,plain,
( product(c,h,compose(d,d))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359037,c_358576]) ).
tcf(c_372822,plain,
( ( compose(d,domain(d)) = d )
| ~ identity_map(g)
| ~ identity_map(h)
| ~ defined(d,domain(d)) ),
inference(superposition,[status(thm)],[c_359037,c_358706]) ).
tcf(c_372823,plain,
( ( compose(d,compose(g,domain(d))) = d )
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_359037,c_358667]) ).
tcf(c_372830,plain,
( ( compose(d,domain(b)) = c )
| ~ identity_map(h)
| ~ defined(d,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_372806,c_371446]) ).
tcf(c_373006,plain,
( defined(h,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_372264]) ).
tcf(c_373008,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_372264]) ).
tcf(c_373035,plain,
( defined(g,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_372287]) ).
tcf(c_373037,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_372287]) ).
tcf(c_373062,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370886,c_81]) ).
tcf(c_373065,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_363910]) ).
tcf(c_373066,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_363909]) ).
tcf(c_373068,plain,
( defined(domain(h),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_355309]) ).
tcf(c_373076,plain,
( defined(d,codomain(d))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_361318]) ).
tcf(c_373078,plain,
( defined(d,d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_361250]) ).
tcf(c_373083,plain,
( defined(d,codomain(c))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_361326]) ).
tcf(c_373136,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370888,c_81]) ).
tcf(c_373139,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370888,c_363910]) ).
tcf(c_373140,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370888,c_363909]) ).
tcf(c_373142,plain,
( defined(domain(g),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370888,c_355309]) ).
tcf(c_373234,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),X1)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_358809]) ).
tcf(c_373235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359039,c_80]) ).
tcf(c_373236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359039,c_77]) ).
tcf(c_373237,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X2)
| ~ defined(X0,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359039,c_79]) ).
tcf(c_373238,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_90]) ).
tcf(c_373239,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_78]) ).
tcf(c_373240,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359039,c_76]) ).
tcf(c_373242,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_74]) ).
tcf(c_373243,plain,
( ( h = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_359039,c_355384]) ).
tcf(c_373244,plain,
( ( d = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_359039,c_355385]) ).
tcf(c_373245,plain,
( ( domain(c) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_359039,c_355387]) ).
tcf(c_373247,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_358811]) ).
tcf(c_373249,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_358703]) ).
tcf(c_373251,plain,
! [X0: $i] :
( product(c,compose(g,domain(d)),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_358664]) ).
tcf(c_373252,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_355715]) ).
tcf(c_373253,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_355714]) ).
tcf(c_373256,plain,
! [X0: $i,X1: $i] :
( ( compose(h,X0) = X1 )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ product(d,X0,X1)
| ~ defined(d,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359039,c_358812]) ).
tcf(c_373261,plain,
( ( domain(d) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(d)) ),
inference(superposition,[status(thm)],[c_359039,c_358706]) ).
tcf(c_373262,plain,
( ( compose(g,domain(d)) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_359039,c_358667]) ).
tcf(c_373275,plain,
( ( domain(b) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_373245,c_371446]) ).
tcf(c_373285,plain,
( ( domain(d) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_373261,c_84]) ).
tcf(c_373389,plain,
( defined(d,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_372302]) ).
tcf(c_373391,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_372302]) ).
tcf(c_373420,plain,
( defined(g,domain(codomain(a)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_358434]) ).
tcf(c_373422,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358434]) ).
tcf(c_373424,plain,
( defined(g,c)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_358434]) ).
tcf(c_373425,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_358434]) ).
tcf(c_373426,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(d,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_358434]) ).
tcf(c_373452,plain,
( defined(c,c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_355221,c_371883]) ).
tcf(c_373453,plain,
( defined(c,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_370869,c_371883]) ).
tcf(c_373548,plain,
( defined(c,c)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370881,c_373452]) ).
tcf(c_373558,plain,
( defined(c,d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_373548,c_370040]) ).
tcf(c_373559,plain,
( defined(c,a)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_373548,c_355308]) ).
tcf(c_373571,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_373558,c_81]) ).
tcf(c_373590,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(c)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_373559,c_81]) ).
tcf(c_373624,plain,
( defined(c,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_355221,c_371884]) ).
tcf(c_373625,plain,
( defined(c,a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_355487,c_371884]) ).
tcf(c_373744,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(a)
| ~ defined(c,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_371886,c_81]) ).
tcf(c_373760,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),d)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359040,c_358809]) ).
tcf(c_373761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,X3,X2)
| ~ identity_map(h)
| ~ identity_map(X3)
| ~ defined(d,X3)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359040,c_80]) ).
tcf(c_373762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(d,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359040,c_77]) ).
tcf(c_373763,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(h)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359040,c_79]) ).
tcf(c_373764,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359040,c_90]) ).
tcf(c_373765,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359040,c_78]) ).
tcf(c_373766,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(d,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359040,c_76]) ).
tcf(c_373767,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_75]) ).
tcf(c_373768,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_74]) ).
tcf(c_373772,plain,
( defined(d,b)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359040,c_355604]) ).
tcf(c_373773,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(h,X0))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359040,c_358811]) ).
tcf(c_373774,plain,
( defined(d,domain(d))
| ~ identity_map(g)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359040,c_358705]) ).
tcf(c_373775,plain,
! [X0: $i] :
( product(d,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_358703]) ).
tcf(c_373776,plain,
( defined(d,compose(g,domain(d)))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359040,c_358666]) ).
tcf(c_373777,plain,
! [X0: $i] :
( product(d,compose(g,domain(d)),X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_358664]) ).
tcf(c_373778,plain,
! [X0: $i] :
( product(d,g,X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_355715]) ).
tcf(c_373779,plain,
! [X0: $i] :
( product(d,h,X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_355714]) ).
tcf(c_373780,plain,
( defined(d,g)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359040,c_355606]) ).
tcf(c_373781,plain,
( defined(d,h)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359040,c_355605]) ).
tcf(c_373782,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(h)
| ~ identity_map(compose(h,X0))
| ~ product(d,X0,X1)
| ~ defined(d,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359040,c_358812]) ).
tcf(c_374012,plain,
( defined(g,domain(codomain(a)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_358483]) ).
tcf(c_374014,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358483]) ).
tcf(c_374016,plain,
( defined(g,c)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_358483]) ).
tcf(c_374017,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_358483]) ).
tcf(c_374018,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_358483]) ).
tcf(c_374067,plain,
( defined(g,domain(codomain(c)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_358506]) ).
tcf(c_374069,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_358506]) ).
tcf(c_374072,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_358506]) ).
tcf(c_374074,plain,
( defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_370005,c_358506]) ).
tcf(c_374075,plain,
( defined(g,c)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_358506]) ).
tcf(c_374076,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_358506]) ).
tcf(c_374077,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_358506]) ).
tcf(c_374131,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(c)
| ~ defined(c,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_371887,c_81]) ).
tcf(c_374134,plain,
( defined(domain(b),d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371887,c_370040]) ).
tcf(c_374139,plain,
( defined(c,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371887,c_371884]) ).
tcf(c_374168,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_371888,c_81]) ).
tcf(c_374180,plain,
defined(c,domain(domain(b))),
inference(superposition,[status(thm)],[c_84,c_371889]) ).
tcf(c_374181,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_355221,c_371889]) ).
tcf(c_374186,plain,
( defined(c,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_370869,c_371889]) ).
tcf(c_374187,plain,
( defined(c,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_371888,c_371889]) ).
tcf(c_374193,plain,
( defined(c,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371887,c_371889]) ).
tcf(c_374208,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_355313,c_374181]) ).
tcf(c_374219,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355501,c_374181]) ).
tcf(c_374232,plain,
( defined(c,codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357908,c_374181]) ).
tcf(c_374233,plain,
( defined(c,codomain(a))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357907,c_374181]) ).
tcf(c_374249,plain,
( defined(c,codomain(c))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357909,c_374181]) ).
tcf(c_374250,plain,
( defined(c,codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_357967,c_374181]) ).
tcf(c_374251,plain,
( defined(c,codomain(a))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357966,c_374181]) ).
tcf(c_374252,plain,
( defined(c,codomain(c))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_357968,c_374181]) ).
tcf(c_374308,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_371890,c_81]) ).
tcf(c_374313,plain,
( defined(domain(b),g)
| ~ identity_map(c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371890,c_363910]) ).
tcf(c_374314,plain,
( defined(domain(b),h)
| ~ identity_map(c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371890,c_363909]) ).
tcf(c_374325,plain,
( defined(domain(b),c)
| ~ defined(c,codomain(c)) ),
inference(superposition,[status(thm)],[c_371890,c_370601]) ).
tcf(c_374329,plain,
( defined(domain(b),c)
| ~ identity_map(d)
| ~ defined(c,domain(h)) ),
inference(superposition,[status(thm)],[c_371890,c_361174]) ).
tcf(c_374330,plain,
( defined(domain(b),c)
| ~ identity_map(d)
| ~ defined(c,domain(g)) ),
inference(superposition,[status(thm)],[c_371890,c_359527]) ).
tcf(c_374404,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(c,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_372495,c_81]) ).
tcf(c_374405,plain,
( defined(b,codomain(d))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_355774]) ).
tcf(c_374407,plain,
( defined(domain(b),g)
| ~ identity_map(c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_363910]) ).
tcf(c_374408,plain,
( defined(domain(b),h)
| ~ identity_map(c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_363909]) ).
tcf(c_374410,plain,
( defined(domain(b),c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_355309]) ).
tcf(c_374411,plain,
( defined(b,codomain(c))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_358295]) ).
tcf(c_374415,plain,
( defined(c,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_371889]) ).
tcf(c_374416,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_356681]) ).
tcf(c_374448,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),domain(d),X1)
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_359076]) ).
tcf(c_374449,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(h)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_359076]) ).
tcf(c_374450,plain,
! [X0: $i,X1: $i] :
( product(c,domain(d),X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_359076]) ).
tcf(c_374451,plain,
! [X0: $i,X1: $i] :
( product(X0,domain(d),X1)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_359076]) ).
tcf(c_374452,plain,
! [X0: $i] :
( product(d,domain(d),X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_359076]) ).
tcf(c_374453,plain,
! [X0: $i,X1: $i] :
( product(compose(d,X1),domain(d),X0)
| ~ identity_map(h)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359369,c_359076]) ).
tcf(c_374454,plain,
! [X0: $i] :
( product(compose(d,c),domain(d),X0)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_359076]) ).
tcf(c_374455,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_359076]) ).
tcf(c_374519,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ defined(d,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_73,c_358813]) ).
tcf(c_374521,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_358813]) ).
tcf(c_374522,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_358813]) ).
tcf(c_374555,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(d))
| ~ defined(X1,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372499,c_81]) ).
tcf(c_374556,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(d)))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_355774]) ).
tcf(c_374557,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_355370]) ).
tcf(c_374558,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_356115]) ).
tcf(c_374559,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_356106]) ).
tcf(c_374560,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_356097]) ).
tcf(c_374561,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_355510]) ).
tcf(c_374562,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372499,c_359639]) ).
tcf(c_374564,plain,
( defined(c,codomain(d))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_372499,c_374181]) ).
tcf(c_374565,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_372499,c_358219]) ).
tcf(c_374566,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_372499,c_355339]) ).
tcf(c_374567,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_372499,c_360332]) ).
tcf(c_374568,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_372499,c_360167]) ).
tcf(c_374569,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_372499,c_360042]) ).
tcf(c_374570,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_372499,c_359797]) ).
tcf(c_374573,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_372499,c_362842]) ).
tcf(c_374574,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_372499,c_362604]) ).
tcf(c_374577,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_372499,c_355343]) ).
tcf(c_374578,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_372499,c_355340]) ).
tcf(c_374579,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_372499,c_367128]) ).
tcf(c_374580,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_372499,c_366693]) ).
tcf(c_374583,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_372499,c_355344]) ).
tcf(c_374584,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_372499,c_355341]) ).
tcf(c_374585,plain,
( ( domain(a) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_372499,c_358206]) ).
tcf(c_374586,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_357261]) ).
tcf(c_374587,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_357248]) ).
tcf(c_374588,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_357199]) ).
tcf(c_374589,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_357148]) ).
tcf(c_374590,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_355917]) ).
tcf(c_374591,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_355524]) ).
tcf(c_374592,plain,
( defined(g,codomain(d))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_355449]) ).
tcf(c_374593,plain,
( defined(h,codomain(d))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_355364]) ).
tcf(c_374594,plain,
( defined(g,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_358506]) ).
tcf(c_374595,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_358340]) ).
tcf(c_374596,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_357955]) ).
tcf(c_374597,plain,
( defined(h,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_356796]) ).
tcf(c_374604,plain,
( defined(c,codomain(d))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_372499,c_371889]) ).
tcf(c_374605,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_372499,c_356681]) ).
tcf(c_374606,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361396]) ).
tcf(c_374607,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361638]) ).
tcf(c_374608,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361385]) ).
tcf(c_374609,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361318]) ).
tcf(c_374610,plain,
( defined(g,codomain(d))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361374]) ).
tcf(c_374611,plain,
( defined(d,codomain(d))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_361250]) ).
tcf(c_374612,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_357187]) ).
tcf(c_374613,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_357016]) ).
tcf(c_374614,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_366581]) ).
tcf(c_374615,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_366011]) ).
tcf(c_374616,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_366174]) ).
tcf(c_374617,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_366140]) ).
tcf(c_374618,plain,
( defined(h,codomain(d))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_366093]) ).
tcf(c_374619,plain,
( defined(d,codomain(d))
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_365897]) ).
tcf(c_374620,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_357235]) ).
tcf(c_374621,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_357136]) ).
tcf(c_374625,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_358050]) ).
tcf(c_374758,plain,
( defined(h,codomain(d))
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374597,c_85]) ).
tcf(c_374761,plain,
( defined(b,codomain(d))
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374596,c_85]) ).
tcf(c_374765,plain,
( defined(g,codomain(d))
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374594,c_85]) ).
tcf(c_374780,plain,
( ( domain(a) = codomain(d) )
| ~ defined(a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374585,c_83]) ).
tcf(c_374783,plain,
( ( domain(b) = codomain(d) )
| ~ defined(b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374565,c_83]) ).
tcf(c_374786,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374555,c_83]) ).
tcf(c_375170,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372509,c_81]) ).
tcf(c_375177,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375170,c_83]) ).
tcf(c_375185,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372510,c_81]) ).
tcf(c_375192,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375185,c_83]) ).
tcf(c_375200,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372527,c_81]) ).
tcf(c_375203,plain,
( defined(h,codomain(d))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_372527,c_366580]) ).
tcf(c_375209,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375200,c_83]) ).
tcf(c_375217,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372529,c_81]) ).
tcf(c_375224,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375217,c_83]) ).
tcf(c_375232,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372534,c_81]) ).
tcf(c_375235,plain,
( defined(g,codomain(d))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_372534,c_361637]) ).
tcf(c_375241,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375232,c_83]) ).
tcf(c_375249,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372535,c_81]) ).
tcf(c_375256,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375249,c_83]) ).
tcf(c_375268,plain,
! [X0: $i,X1: $i] :
( product(c,compose(domain(d),X0),X1)
| ~ identity_map(h)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_359077]) ).
tcf(c_375269,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(h)
| ~ product(d,domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_86,c_359077]) ).
tcf(c_375270,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(h)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_359077]) ).
tcf(c_375271,plain,
! [X0: $i,X1: $i] :
( product(c,domain(d),X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_359077]) ).
tcf(c_375272,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(h)
| ~ product(d,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357696,c_359077]) ).
tcf(c_375288,plain,
! [X0: $i,X1: $i] :
( product(c,X0,X1)
| ~ identity_map(h)
| ~ defined(domain(d),X0)
| ~ product(d,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375270,c_82]) ).
tcf(c_375300,plain,
! [X0: $i] :
( defined(d,domain(codomain(X0)))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_84,c_361818]) ).
tcf(c_375302,plain,
! [X0: $i,X1: $i] :
( defined(d,codomain(X1))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_361818]) ).
tcf(c_375303,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_361818]) ).
tcf(c_375306,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_361818]) ).
tcf(c_375308,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_361818]) ).
tcf(c_375309,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_361818]) ).
tcf(c_375312,plain,
! [X0: $i] :
( defined(d,c)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_361818]) ).
tcf(c_375313,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_361818]) ).
tcf(c_375314,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_361818]) ).
tcf(c_375316,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_361818]) ).
tcf(c_375317,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_361818]) ).
tcf(c_375318,plain,
! [X0: $i] :
( defined(d,codomain(c))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_361818]) ).
tcf(c_375319,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_361818]) ).
tcf(c_375320,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_360797,c_361818]) ).
tcf(c_375321,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_362364,c_361818]) ).
tcf(c_375322,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370042,c_361818]) ).
tcf(c_375323,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370041,c_361818]) ).
tcf(c_375324,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(h,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_361818]) ).
tcf(c_375325,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(h,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_361818]) ).
tcf(c_375488,plain,
( defined(d,domain(codomain(a)))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_84,c_362318]) ).
tcf(c_375490,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362318]) ).
tcf(c_375492,plain,
( defined(d,c)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_362318]) ).
tcf(c_375493,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_362318]) ).
tcf(c_375494,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_362318]) ).
tcf(c_375522,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,codomain(X0)) ),
inference(superposition,[status(thm)],[c_357841,c_374208]) ).
tcf(c_375523,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ defined(b,domain(X0)) ),
inference(superposition,[status(thm)],[c_357840,c_374208]) ).
tcf(c_375524,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(codomain(X0))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_374208,c_81]) ).
tcf(c_375526,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_374208,c_355217]) ).
tcf(c_375534,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375524,c_83]) ).
tcf(c_375546,plain,
! [X0: $i] :
( defined(compose(X0,c),domain(d))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_73,c_359078]) ).
tcf(c_375549,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(X0,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_89,c_359078]) ).
tcf(c_375550,plain,
( defined(d,domain(d))
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359040,c_359078]) ).
tcf(c_375551,plain,
! [X0: $i] :
( defined(compose(d,X0),domain(d))
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_359078]) ).
tcf(c_375552,plain,
( defined(compose(d,c),domain(d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359037,c_359078]) ).
tcf(c_375553,plain,
( defined(c,domain(d))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359039,c_359078]) ).
tcf(c_375583,plain,
( defined(d,domain(codomain(a)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_362419]) ).
tcf(c_375585,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362419]) ).
tcf(c_375587,plain,
( defined(d,c)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_362419]) ).
tcf(c_375588,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_362419]) ).
tcf(c_375589,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_362419]) ).
tcf(c_375594,plain,
( defined(d,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_362419]) ).
tcf(c_375622,plain,
( defined(d,domain(codomain(c)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_362442]) ).
tcf(c_375624,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362442]) ).
tcf(c_375629,plain,
( defined(d,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_370005,c_362442]) ).
tcf(c_375630,plain,
( defined(d,c)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_362442]) ).
tcf(c_375631,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_362442]) ).
tcf(c_375632,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_362442]) ).
tcf(c_375637,plain,
( defined(d,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_362442]) ).
tcf(c_375644,plain,
( defined(d,codomain(d))
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375637,c_85]) ).
tcf(c_375667,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(a))
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_374250,c_81]) ).
tcf(c_375669,plain,
( defined(b,codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_374250,c_355217]) ).
tcf(c_375672,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375667,c_83]) ).
tcf(c_375680,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(a))
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_374251,c_81]) ).
tcf(c_375682,plain,
( defined(b,codomain(a))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_374251,c_355217]) ).
tcf(c_375685,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375680,c_83]) ).
tcf(c_375693,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(c))
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_374252,c_81]) ).
tcf(c_375695,plain,
( defined(b,codomain(c))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_374252,c_355217]) ).
tcf(c_375699,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375693,c_83]) ).
tcf(c_375707,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_374405,c_81]) ).
tcf(c_375708,plain,
( defined(c,codomain(d))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_374405,c_374181]) ).
tcf(c_375709,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_374405,c_358219]) ).
tcf(c_375713,plain,
( ( domain(b) = codomain(d) )
| ~ defined(c,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375709,c_83]) ).
tcf(c_375716,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375707,c_83]) ).
tcf(c_375736,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_374564,c_81]) ).
tcf(c_375738,plain,
( defined(b,codomain(d))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_374564,c_355217]) ).
tcf(c_375741,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,c)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375736,c_83]) ).
tcf(c_375751,plain,
( ( compose(c,domain(d)) = d )
| ~ identity_map(h)
| ~ defined(c,domain(d)) ),
inference(superposition,[status(thm)],[c_73,c_359079]) ).
tcf(c_375752,plain,
( ( domain(d) = d )
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(c,domain(d)) ),
inference(superposition,[status(thm)],[c_88,c_359079]) ).
tcf(c_375755,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(h)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_359369,c_359079]) ).
tcf(c_375756,plain,
( ( compose(d,domain(d)) = d )
| ~ identity_map(h)
| ~ defined(d,domain(d)) ),
inference(superposition,[status(thm)],[c_359037,c_359079]) ).
tcf(c_375759,plain,
( ( domain(d) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(d)) ),
inference(superposition,[status(thm)],[c_359039,c_359079]) ).
tcf(c_375766,plain,
( ( domain(d) = d )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375759,c_84]) ).
tcf(c_375781,plain,
! [X0: $i] :
( defined(g,domain(codomain(X0)))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_84,c_362459]) ).
tcf(c_375783,plain,
! [X0: $i,X1: $i] :
( defined(g,codomain(X1))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_362459]) ).
tcf(c_375784,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_362459]) ).
tcf(c_375786,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_362459]) ).
tcf(c_375787,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_362459]) ).
tcf(c_375789,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_362459]) ).
tcf(c_375790,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_362459]) ).
tcf(c_375793,plain,
! [X0: $i] :
( defined(g,c)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_362459]) ).
tcf(c_375794,plain,
! [X0: $i] :
( defined(g,a)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_362459]) ).
tcf(c_375795,plain,
! [X0: $i] :
( defined(g,a)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_362459]) ).
tcf(c_375797,plain,
! [X0: $i] :
( defined(g,codomain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_362459]) ).
tcf(c_375798,plain,
! [X0: $i] :
( defined(g,codomain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_362459]) ).
tcf(c_375799,plain,
! [X0: $i] :
( defined(g,codomain(c))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_362459]) ).
tcf(c_375800,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_362459]) ).
tcf(c_375801,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_360797,c_362459]) ).
tcf(c_375802,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_362364,c_362459]) ).
tcf(c_375803,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370042,c_362459]) ).
tcf(c_375804,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370041,c_362459]) ).
tcf(c_375805,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_362459]) ).
tcf(c_375806,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_362459]) ).
tcf(c_375953,plain,
( defined(g,domain(codomain(a)))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_84,c_362471]) ).
tcf(c_375955,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362471]) ).
tcf(c_375957,plain,
( defined(g,c)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_362471]) ).
tcf(c_375958,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_362471]) ).
tcf(c_375959,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_362471]) ).
tcf(c_375963,plain,
( defined(g,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_362471]) ).
tcf(c_376034,plain,
( defined(g,domain(codomain(a)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_362494]) ).
tcf(c_376036,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362494]) ).
tcf(c_376038,plain,
( defined(g,c)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_362494]) ).
tcf(c_376039,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_362494]) ).
tcf(c_376040,plain,
( defined(g,a)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_362494]) ).
tcf(c_376045,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_362494]) ).
tcf(c_376084,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370157,c_81]) ).
tcf(c_376086,plain,
( ( domain(b) = d )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370157,c_358219]) ).
tcf(c_376087,plain,
( defined(a,d)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370157,c_355339]) ).
tcf(c_376113,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370158,c_81]) ).
tcf(c_376115,plain,
( ( domain(b) = d )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_370158,c_358219]) ).
tcf(c_376140,plain,
! [X0: $i] :
( defined(c,compose(domain(d),X0))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_73,c_359081]) ).
tcf(c_376142,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ identity_map(domain(d))
| ~ defined(d,X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_88,c_359081]) ).
tcf(c_376157,plain,
( defined(g,domain(codomain(c)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_362509]) ).
tcf(c_376159,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_362509]) ).
tcf(c_376162,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_362509]) ).
tcf(c_376164,plain,
( defined(g,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_370005,c_362509]) ).
tcf(c_376165,plain,
( defined(g,c)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_362509]) ).
tcf(c_376166,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_362509]) ).
tcf(c_376167,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_362509]) ).
tcf(c_376172,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_362509]) ).
tcf(c_376179,plain,
( defined(g,codomain(d))
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_376172,c_85]) ).
tcf(c_376485,plain,
( ( compose(c,compose(g,domain(h))) = d )
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_73,c_363059]) ).
tcf(c_376486,plain,
( ( compose(g,domain(h)) = d )
| ~ identity_map(c)
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_88,c_363059]) ).
tcf(c_376487,plain,
( ( c = d )
| ~ identity_map(compose(g,domain(h)))
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_89,c_363059]) ).
tcf(c_376489,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ product(g,X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_359369,c_363059]) ).
tcf(c_376490,plain,
( ( compose(d,compose(g,domain(h))) = d )
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_359037,c_363059]) ).
tcf(c_376491,plain,
( ( compose(g,domain(h)) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_359039,c_363059]) ).
tcf(c_376495,plain,
compose(c,compose(g,domain(h))) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_376485,c_363063]) ).
tcf(c_376496,plain,
( ( c = d )
| ~ identity_map(compose(g,domain(h))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_376487,c_363063]) ).
tcf(c_376499,plain,
( ( compose(g,domain(h)) = d )
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_376486,c_363063]) ).
tcf(c_376516,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370159,c_81]) ).
tcf(c_376554,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_370163,c_81]) ).
tcf(c_376572,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_370164,c_81]) ).
tcf(c_376590,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_370167,c_81]) ).
tcf(c_376634,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_370170,c_81]) ).
tcf(c_376654,plain,
defined(domain(codomain(codomain(c))),c),
inference(superposition,[status(thm)],[c_85,c_370608]) ).
tcf(c_376655,plain,
! [X0: $i] :
( defined(domain(domain(X0)),c)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_355221,c_370608]) ).
tcf(c_376657,plain,
! [X0: $i] :
( defined(domain(codomain(X0)),c)
| ~ identity_map(X0)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_355338,c_370608]) ).
tcf(c_376660,plain,
( defined(domain(codomain(d)),c)
| ~ identity_map(a)
| ~ defined(a,codomain(c)) ),
inference(superposition,[status(thm)],[c_355477,c_370608]) ).
tcf(c_376661,plain,
( defined(domain(codomain(d)),c)
| ~ identity_map(c)
| ~ defined(c,codomain(c)) ),
inference(superposition,[status(thm)],[c_355472,c_370608]) ).
tcf(c_376668,plain,
( defined(domain(g),c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361697,c_370608]) ).
tcf(c_376670,plain,
( defined(domain(h),c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366746,c_370608]) ).
tcf(c_376672,plain,
( defined(domain(a),c)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_356616,c_370608]) ).
tcf(c_376673,plain,
( defined(domain(a),c)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_356612,c_370608]) ).
tcf(c_376674,plain,
( defined(domain(domain(b)),c)
| ~ defined(c,codomain(c)) ),
inference(superposition,[status(thm)],[c_371890,c_370608]) ).
tcf(c_376675,plain,
( defined(domain(c),c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_374208,c_370608]) ).
tcf(c_376676,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361802,c_370608]) ).
tcf(c_376677,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_357047,c_370608]) ).
tcf(c_376678,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_357045,c_370608]) ).
tcf(c_376679,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356892,c_370608]) ).
tcf(c_376680,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_356890,c_370608]) ).
tcf(c_376681,plain,
( defined(domain(domain(h)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_361214,c_370608]) ).
tcf(c_376682,plain,
( defined(domain(domain(g)),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_365812,c_370608]) ).
tcf(c_376683,plain,
( defined(domain(h),c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366759,c_370608]) ).
tcf(c_376686,plain,
defined(domain(codomain(c)),c),
inference(superposition,[status(thm)],[c_357727,c_370608]) ).
tcf(c_376694,plain,
( defined(domain(c),c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_374252,c_370608]) ).
tcf(c_376695,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358499,c_370608]) ).
tcf(c_376696,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_358303,c_370608]) ).
tcf(c_376697,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_358301,c_370608]) ).
tcf(c_376698,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356904,c_370608]) ).
tcf(c_376699,plain,
( defined(domain(c),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362120,c_370608]) ).
tcf(c_376700,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360537,c_370608]) ).
tcf(c_376701,plain,
( defined(domain(a),c)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_358297,c_370608]) ).
tcf(c_376702,plain,
( defined(domain(a),c)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357951,c_370608]) ).
tcf(c_376704,plain,
( defined(domain(d),c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366183,c_370608]) ).
tcf(c_376705,plain,
( defined(domain(d),c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361405,c_370608]) ).
tcf(c_376706,plain,
( defined(domain(g),c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361705,c_370608]) ).
tcf(c_376709,plain,
( defined(domain(compose(g,domain(d))),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_358670,c_370608]) ).
tcf(c_376710,plain,
( defined(domain(compose(h,domain(d))),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_367826,c_370608]) ).
tcf(c_376711,plain,
( defined(domain(d),c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366196,c_370608]) ).
tcf(c_376712,plain,
( defined(domain(d),c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361413,c_370608]) ).
tcf(c_376713,plain,
( defined(domain(d),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_362118,c_370608]) ).
tcf(c_376714,plain,
( defined(domain(compose(h,domain(g))),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_367830,c_370608]) ).
tcf(c_376715,plain,
( defined(domain(compose(g,domain(h))),c)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_363062,c_370608]) ).
tcf(c_376728,plain,
( defined(domain(b),c)
| ~ defined(b,d) ),
inference(light_normalisation,[status(thm)],[c_376694,c_371446]) ).
tcf(c_376733,plain,
( defined(domain(b),c)
| ~ defined(b,c) ),
inference(light_normalisation,[status(thm)],[c_376675,c_371446]) ).
tcf(c_376740,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(light_normalisation,[status(thm)],[c_376700,c_371446]) ).
tcf(c_376744,plain,
( defined(domain(b),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(light_normalisation,[status(thm)],[c_376699,c_371446]) ).
tcf(c_376761,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(light_normalisation,[status(thm)],[c_376698,c_371446]) ).
tcf(c_376765,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(light_normalisation,[status(thm)],[c_376697,c_371446]) ).
tcf(c_376769,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(light_normalisation,[status(thm)],[c_376696,c_371446]) ).
tcf(c_376773,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(light_normalisation,[status(thm)],[c_376695,c_371446]) ).
tcf(c_376777,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(light_normalisation,[status(thm)],[c_376680,c_371446]) ).
tcf(c_376781,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(light_normalisation,[status(thm)],[c_376679,c_371446]) ).
tcf(c_376785,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(light_normalisation,[status(thm)],[c_376678,c_371446]) ).
tcf(c_376789,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(light_normalisation,[status(thm)],[c_376677,c_371446]) ).
tcf(c_376793,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(light_normalisation,[status(thm)],[c_376676,c_371446]) ).
tcf(c_377131,plain,
! [X0: $i] :
( defined(d,domain(codomain(X0)))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_84,c_366845]) ).
tcf(c_377133,plain,
! [X0: $i,X1: $i] :
( defined(d,codomain(X1))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_366845]) ).
tcf(c_377134,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_366845]) ).
tcf(c_377137,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_366845]) ).
tcf(c_377139,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_366845]) ).
tcf(c_377140,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_366845]) ).
tcf(c_377143,plain,
! [X0: $i] :
( defined(d,c)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_366845]) ).
tcf(c_377144,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_366845]) ).
tcf(c_377145,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_366845]) ).
tcf(c_377147,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_366845]) ).
tcf(c_377148,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_366845]) ).
tcf(c_377149,plain,
! [X0: $i] :
( defined(d,codomain(c))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_366845]) ).
tcf(c_377150,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_366845]) ).
tcf(c_377151,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_360797,c_366845]) ).
tcf(c_377152,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_362364,c_366845]) ).
tcf(c_377153,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370042,c_366845]) ).
tcf(c_377154,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370041,c_366845]) ).
tcf(c_377155,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(g,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_366845]) ).
tcf(c_377156,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(g,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_366845]) ).
tcf(c_377311,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376713,c_81]) ).
tcf(c_377314,plain,
( defined(domain(d),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_376713,c_370040]) ).
tcf(c_377315,plain,
( defined(domain(d),a)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_376713,c_355308]) ).
tcf(c_377342,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377314,c_81]) ).
tcf(c_377345,plain,
( defined(domain(d),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_377314,c_363910]) ).
tcf(c_377346,plain,
( defined(domain(d),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_377314,c_363909]) ).
tcf(c_377386,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377315,c_81]) ).
tcf(c_377490,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(c)
| ~ defined(h,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376668,c_81]) ).
tcf(c_377493,plain,
( defined(domain(g),d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376668,c_370040]) ).
tcf(c_377494,plain,
( defined(domain(g),a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376668,c_355308]) ).
tcf(c_377497,plain,
( defined(h,codomain(c))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376668,c_366581]) ).
tcf(c_377521,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376670,c_81]) ).
tcf(c_377524,plain,
( defined(domain(h),d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_370040]) ).
tcf(c_377525,plain,
( defined(domain(h),a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_355308]) ).
tcf(c_377529,plain,
( defined(g,codomain(c))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_361638]) ).
tcf(c_377534,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_357187]) ).
tcf(c_377535,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_357016]) ).
tcf(c_377558,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376683,c_81]) ).
tcf(c_377561,plain,
( defined(domain(h),d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376683,c_370040]) ).
tcf(c_377562,plain,
( defined(domain(h),a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376683,c_355308]) ).
tcf(c_377569,plain,
( defined(g,c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376683,c_361374]) ).
tcf(c_377589,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376704,c_81]) ).
tcf(c_377592,plain,
( defined(domain(d),d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376704,c_370040]) ).
tcf(c_377593,plain,
( defined(domain(d),a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376704,c_355308]) ).
tcf(c_377606,plain,
( defined(g,a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376704,c_356579]) ).
tcf(c_377906,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(h,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376705,c_81]) ).
tcf(c_377909,plain,
( defined(domain(d),d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376705,c_370040]) ).
tcf(c_377910,plain,
( defined(domain(d),a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376705,c_355308]) ).
tcf(c_377924,plain,
( defined(h,a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376705,c_356294]) ).
tcf(c_377940,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376706,c_81]) ).
tcf(c_377943,plain,
( defined(domain(g),d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376706,c_370040]) ).
tcf(c_377944,plain,
( defined(domain(g),a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376706,c_355308]) ).
tcf(c_377951,plain,
( defined(h,c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376706,c_366093]) ).
tcf(c_377976,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(h,X1),compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359271,c_358809]) ).
tcf(c_377977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,h,X2)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,c,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359271,c_80]) ).
tcf(c_377978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(h,X1,X3)
| ~ product(compose(d,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359271,c_77]) ).
tcf(c_377979,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359271,c_79]) ).
tcf(c_377980,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X1) = X0 )
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_359271,c_90]) ).
tcf(c_377981,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359271,c_78]) ).
tcf(c_377982,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(h,X1,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359271,c_76]) ).
tcf(c_377983,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_359271,c_75]) ).
tcf(c_377985,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359271,c_355384]) ).
tcf(c_378035,plain,
( defined(d,domain(codomain(a)))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_84,c_366890]) ).
tcf(c_378037,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366890]) ).
tcf(c_378039,plain,
( defined(d,c)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_366890]) ).
tcf(c_378040,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_366890]) ).
tcf(c_378041,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_366890]) ).
tcf(c_378045,plain,
( defined(d,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_366890]) ).
tcf(c_378085,plain,
( defined(d,domain(codomain(a)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_366913]) ).
tcf(c_378087,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366913]) ).
tcf(c_378089,plain,
( defined(d,c)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_366913]) ).
tcf(c_378090,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_366913]) ).
tcf(c_378091,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_366913]) ).
tcf(c_378096,plain,
( defined(d,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_366913]) ).
tcf(c_378178,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376711,c_81]) ).
tcf(c_378181,plain,
( defined(domain(d),d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376711,c_370040]) ).
tcf(c_378182,plain,
( defined(domain(d),a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376711,c_355308]) ).
tcf(c_378195,plain,
( defined(g,a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376711,c_356579]) ).
tcf(c_378211,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_376712,c_81]) ).
tcf(c_378214,plain,
( defined(domain(d),d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376712,c_370040]) ).
tcf(c_378215,plain,
( defined(domain(d),a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376712,c_355308]) ).
tcf(c_378229,plain,
( defined(h,a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_376712,c_356294]) ).
tcf(c_378244,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377493,c_81]) ).
tcf(c_378247,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377493,c_363910]) ).
tcf(c_378248,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377493,c_363909]) ).
tcf(c_378259,plain,
( defined(h,d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377493,c_366093]) ).
tcf(c_378283,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377494,c_81]) ).
tcf(c_378302,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377524,c_81]) ).
tcf(c_378305,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377524,c_363910]) ).
tcf(c_378306,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377524,c_363909]) ).
tcf(c_378317,plain,
( defined(g,d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377524,c_361374]) ).
tcf(c_378345,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(h,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ product(d,X1,h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359273,c_358809]) ).
tcf(c_378346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,h,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359273,c_80]) ).
tcf(c_378347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(h,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359273,c_77]) ).
tcf(c_378348,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,h)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359273,c_79]) ).
tcf(c_378349,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(c,h,X0) ),
inference(superposition,[status(thm)],[c_359273,c_90]) ).
tcf(c_378350,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359273,c_78]) ).
tcf(c_378351,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X2,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359273,c_76]) ).
tcf(c_378352,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359273,c_75]) ).
tcf(c_378354,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359273,c_355384]) ).
tcf(c_378412,plain,
( defined(d,domain(codomain(c)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_366956]) ).
tcf(c_378414,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_366956]) ).
tcf(c_378419,plain,
( defined(d,d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_370005,c_366956]) ).
tcf(c_378420,plain,
( defined(d,c)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_366956]) ).
tcf(c_378421,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_366956]) ).
tcf(c_378422,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_366956]) ).
tcf(c_378427,plain,
( defined(d,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_366956]) ).
tcf(c_378434,plain,
( defined(d,codomain(d))
| ~ defined(g,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_378427,c_85]) ).
tcf(c_378539,plain,
! [X0: $i] :
( defined(h,domain(codomain(X0)))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_84,c_366978]) ).
tcf(c_378541,plain,
! [X0: $i,X1: $i] :
( defined(h,codomain(X1))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_366978]) ).
tcf(c_378542,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_366978]) ).
tcf(c_378544,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_366978]) ).
tcf(c_378545,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_366978]) ).
tcf(c_378547,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_366978]) ).
tcf(c_378548,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_366978]) ).
tcf(c_378551,plain,
! [X0: $i] :
( defined(h,c)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_366978]) ).
tcf(c_378552,plain,
! [X0: $i] :
( defined(h,a)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_366978]) ).
tcf(c_378553,plain,
! [X0: $i] :
( defined(h,a)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_366978]) ).
tcf(c_378555,plain,
! [X0: $i] :
( defined(h,codomain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_366978]) ).
tcf(c_378556,plain,
! [X0: $i] :
( defined(h,codomain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_366978]) ).
tcf(c_378557,plain,
! [X0: $i] :
( defined(h,codomain(c))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_366978]) ).
tcf(c_378558,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_366978]) ).
tcf(c_378559,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_360797,c_366978]) ).
tcf(c_378560,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_362364,c_366978]) ).
tcf(c_378561,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370042,c_366978]) ).
tcf(c_378562,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_370041,c_366978]) ).
tcf(c_378563,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_366978]) ).
tcf(c_378564,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_366978]) ).
tcf(c_378712,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377525,c_81]) ).
tcf(c_378731,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377561,c_81]) ).
tcf(c_378732,plain,
( defined(h,codomain(d))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_355774]) ).
tcf(c_378733,plain,
( defined(h,d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_355370]) ).
tcf(c_378734,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_363910]) ).
tcf(c_378735,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_363909]) ).
tcf(c_378742,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_361396]) ).
tcf(c_378743,plain,
( defined(g,codomain(d))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_361638]) ).
tcf(c_378744,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_361385]) ).
tcf(c_378748,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_357187]) ).
tcf(c_378749,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_357016]) ).
tcf(c_378824,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377562,c_81]) ).
tcf(c_378843,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377592,c_81]) ).
tcf(c_378846,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377592,c_363910]) ).
tcf(c_378847,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377592,c_363909]) ).
tcf(c_378884,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377593,c_81]) ).
tcf(c_378903,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377909,c_81]) ).
tcf(c_378906,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377909,c_363910]) ).
tcf(c_378907,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377909,c_363909]) ).
tcf(c_378944,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377910,c_81]) ).
tcf(c_379046,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_377943,c_81]) ).
tcf(c_379049,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_363910]) ).
tcf(c_379050,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_363909]) ).
tcf(c_379057,plain,
( defined(h,codomain(d))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_366581]) ).
tcf(c_379059,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_366174]) ).
tcf(c_379060,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_366140]) ).
tcf(c_379063,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_357235]) ).
tcf(c_379064,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_357136]) ).
tcf(c_379101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,compose(X0,compose(d,X1)))
| ~ product(g,X1,X3)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_73,c_359377]) ).
tcf(c_379102,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X2,compose(d,X0))
| ~ product(g,X0,X2)
| ~ product(codomain(compose(d,X0)),c,X1) ),
inference(superposition,[status(thm)],[c_87,c_359377]) ).
tcf(c_379103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,compose(d,X1))
| ~ identity_map(X0)
| ~ product(g,X1,X3)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_88,c_359377]) ).
tcf(c_379104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,X0)
| ~ identity_map(compose(d,X1))
| ~ product(g,X1,X3)
| ~ product(X0,c,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_89,c_359377]) ).
tcf(c_379105,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,d)
| ~ identity_map(h)
| ~ identity_map(compose(d,X0))
| ~ product(c,c,X2)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_359040,c_359377]) ).
tcf(c_379106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X2,compose(d,X0))
| ~ product(c,c,X3)
| ~ product(g,X1,X2)
| ~ product(g,X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359369,c_359377]) ).
tcf(c_379107,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,compose(d,compose(d,X0)))
| ~ identity_map(h)
| ~ product(c,c,X2)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_359037,c_359377]) ).
tcf(c_379108,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,compose(d,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ product(c,c,X2)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_359039,c_359377]) ).
tcf(c_379109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X0,X3)
| ~ product(X1,d,X3)
| ~ product(X1,c,X2)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359377]) ).
tcf(c_379110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X0,X3)
| ~ product(X1,d,X3)
| ~ product(X1,c,X2)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359377]) ).
tcf(c_379111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X0,X3)
| ~ product(X1,d,X3)
| ~ product(X1,c,X2)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359377]) ).
tcf(c_379176,plain,
( defined(h,domain(codomain(a)))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_84,c_367184]) ).
tcf(c_379178,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_367184]) ).
tcf(c_379180,plain,
( defined(h,c)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_367184]) ).
tcf(c_379181,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_367184]) ).
tcf(c_379182,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(g,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_367184]) ).
tcf(c_379186,plain,
( defined(h,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_367184]) ).
tcf(c_379236,plain,
( defined(h,domain(codomain(a)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_367199]) ).
tcf(c_379238,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_367199]) ).
tcf(c_379240,plain,
( defined(h,c)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_367199]) ).
tcf(c_379241,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_367199]) ).
tcf(c_379242,plain,
( defined(h,a)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_367199]) ).
tcf(c_379463,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_377944,c_81]) ).
tcf(c_379482,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_378181,c_81]) ).
tcf(c_379485,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_378181,c_363910]) ).
tcf(c_379486,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_378181,c_363909]) ).
tcf(c_379523,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_378182,c_81]) ).
tcf(c_379542,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_378214,c_81]) ).
tcf(c_379545,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_378214,c_363910]) ).
tcf(c_379546,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_378214,c_363909]) ).
tcf(c_379616,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_378215,c_81]) ).
tcf(c_379638,plain,
( defined(domain(h),c)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_361405,c_370632]) ).
tcf(c_379640,plain,
( defined(domain(h),c)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_361413,c_370632]) ).
tcf(c_379654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,compose(compose(d,X0),X1))
| ~ product(g,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_359378]) ).
tcf(c_379655,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X2,compose(d,X1))
| ~ product(g,X1,X0)
| ~ product(X0,domain(compose(d,X1)),X2) ),
inference(superposition,[status(thm)],[c_86,c_359378]) ).
tcf(c_379656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X1)
| ~ identity_map(compose(d,X0))
| ~ product(g,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_359378]) ).
tcf(c_379657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,compose(d,X0))
| ~ identity_map(X1)
| ~ product(g,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_359378]) ).
tcf(c_379658,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ defined(d,c)
| ~ product(g,c,X0)
| ~ product(d,d,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_358573,c_359378]) ).
tcf(c_379659,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,X1,X2)
| ~ defined(d,c)
| ~ product(g,c,X0)
| ~ product(d,d,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_358636,c_359378]) ).
tcf(c_379660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ product(d,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359378]) ).
tcf(c_379661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ product(d,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359378]) ).
tcf(c_379662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ product(d,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359378]) ).
tcf(c_379710,plain,
( defined(h,domain(codomain(c)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_367214]) ).
tcf(c_379712,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_367214]) ).
tcf(c_379715,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_367214]) ).
tcf(c_379718,plain,
( defined(h,c)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_367214]) ).
tcf(c_379719,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_367214]) ).
tcf(c_379720,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(g,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_367214]) ).
tcf(c_379725,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_367214]) ).
tcf(c_379793,plain,
! [X0: $i] :
( defined(X0,domain(codomain(d)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_84,c_374786]) ).
tcf(c_379795,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_374786]) ).
tcf(c_379799,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355472,c_374786]) ).
tcf(c_379802,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359295,c_374786]) ).
tcf(c_379803,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_374786]) ).
tcf(c_379807,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_374786]) ).
tcf(c_379835,plain,
( defined(domain(g),c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_366183,c_370633]) ).
tcf(c_379837,plain,
( defined(domain(g),c)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_366196,c_370633]) ).
tcf(c_379850,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ identity_map(b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370871,c_81]) ).
tcf(c_379851,plain,
( defined(a,g)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_363910]) ).
tcf(c_379852,plain,
( defined(a,h)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_363909]) ).
tcf(c_379855,plain,
( ( domain(a) = d )
| ~ identity_map(d)
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_358206]) ).
tcf(c_379901,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370890,c_81]) ).
tcf(c_379902,plain,
( defined(compose(g,domain(d)),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370890,c_363910]) ).
tcf(c_379903,plain,
( defined(compose(g,domain(d)),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370890,c_363909]) ).
tcf(c_379919,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370898,c_81]) ).
tcf(c_379920,plain,
( defined(compose(h,domain(d)),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370898,c_363910]) ).
tcf(c_379921,plain,
( defined(compose(h,domain(d)),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370898,c_363909]) ).
tcf(c_379937,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370901,c_81]) ).
tcf(c_379938,plain,
( defined(compose(h,domain(g)),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370901,c_363910]) ).
tcf(c_379939,plain,
( defined(compose(h,domain(g)),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370901,c_363909]) ).
tcf(c_379955,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370904,c_81]) ).
tcf(c_379956,plain,
( defined(compose(g,domain(h)),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370904,c_363910]) ).
tcf(c_379957,plain,
( defined(compose(g,domain(h)),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370904,c_363909]) ).
tcf(c_379994,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ product(g,X0,X2)
| ~ product(codomain(compose(d,X0)),c,X1) ),
inference(superposition,[status(thm)],[c_85,c_359379]) ).
tcf(c_379995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,X3)
| ~ product(g,X2,X3)
| ~ defined(X0,compose(d,X2))
| ~ product(domain(X0),c,X1) ),
inference(superposition,[status(thm)],[c_355221,c_359379]) ).
tcf(c_379996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,X3)
| ~ identity_map(X0)
| ~ product(g,X2,X3)
| ~ defined(X0,compose(d,X2))
| ~ product(codomain(X0),c,X1) ),
inference(superposition,[status(thm)],[c_355338,c_359379]) ).
tcf(c_379997,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(d)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_370036,c_359379]) ).
tcf(c_379998,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(a)
| ~ product(g,X1,X2)
| ~ defined(a,compose(d,X1))
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_355458,c_359379]) ).
tcf(c_379999,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(a)
| ~ product(g,X1,X2)
| ~ defined(a,compose(d,X1))
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_355477,c_359379]) ).
tcf(c_380000,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(c)
| ~ product(g,X1,X2)
| ~ defined(c,compose(d,X1))
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_359379]) ).
tcf(c_380001,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(c,compose(d,X1))
| ~ product(domain(b),c,X0) ),
inference(superposition,[status(thm)],[c_371890,c_359379]) ).
tcf(c_380002,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(domain(h),c,X0) ),
inference(superposition,[status(thm)],[c_361214,c_359379]) ).
tcf(c_380003,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(domain(g),c,X0) ),
inference(superposition,[status(thm)],[c_365812,c_359379]) ).
tcf(c_380004,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(compose(g,domain(d)),c,X0) ),
inference(superposition,[status(thm)],[c_358670,c_359379]) ).
tcf(c_380005,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(compose(h,domain(d)),c,X0) ),
inference(superposition,[status(thm)],[c_367826,c_359379]) ).
tcf(c_380006,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(compose(h,domain(g)),c,X0) ),
inference(superposition,[status(thm)],[c_367830,c_359379]) ).
tcf(c_380007,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(compose(g,domain(h)),c,X0) ),
inference(superposition,[status(thm)],[c_363062,c_359379]) ).
tcf(c_380008,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,c,X2)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359379]) ).
tcf(c_380009,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,c,X2)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359379]) ).
tcf(c_380010,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,c,X2)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359379]) ).
tcf(c_380199,plain,
( defined(g,domain(codomain(d)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_375177]) ).
tcf(c_380201,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375177]) ).
tcf(c_380205,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375177]) ).
tcf(c_380213,plain,
( defined(g,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375177]) ).
tcf(c_380234,plain,
( defined(h,domain(codomain(d)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_375192]) ).
tcf(c_380236,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375192]) ).
tcf(c_380240,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375192]) ).
tcf(c_380248,plain,
( defined(h,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375192]) ).
tcf(c_380307,plain,
( defined(c,codomain(c))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_370869,c_371872]) ).
tcf(c_380309,plain,
( defined(c,codomain(c))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372495,c_371872]) ).
tcf(c_380330,plain,
! [X0: $i,X1: $i] :
( ( compose(c,X1) = compose(d,X0) )
| ~ defined(c,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_359380]) ).
tcf(c_380332,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_359380]) ).
tcf(c_380333,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = c )
| ~ identity_map(X1)
| ~ defined(c,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_359380]) ).
tcf(c_380334,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_359273,c_359380]) ).
tcf(c_380335,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359040,c_359380]) ).
tcf(c_380337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(d,X0) = compose(d,X2) )
| ~ product(g,X2,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_359380]) ).
tcf(c_380338,plain,
! [X0: $i] :
( ( compose(d,X0) = domain(h) )
| ~ identity_map(d)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_361164,c_359380]) ).
tcf(c_380339,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = compose(d,X1) )
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359037,c_359380]) ).
tcf(c_380342,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_359380]) ).
tcf(c_380344,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = compose(d,X1) )
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_359271,c_359380]) ).
tcf(c_380345,plain,
! [X0: $i] :
( ( compose(d,X0) = codomain(c) )
| ~ identity_map(d)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_370341,c_359380]) ).
tcf(c_380346,plain,
! [X0: $i] :
( ( compose(d,X0) = codomain(c) )
| ~ identity_map(d)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_372100,c_359380]) ).
tcf(c_380347,plain,
! [X0: $i] :
( ( compose(d,X0) = domain(g) )
| ~ identity_map(d)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_359503,c_359380]) ).
tcf(c_380348,plain,
! [X0: $i] :
( ( compose(d,X0) = c )
| ~ product(g,X0,domain(b)) ),
inference(superposition,[status(thm)],[c_371891,c_359380]) ).
tcf(c_380349,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(g)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_363053,c_359380]) ).
tcf(c_380350,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(h)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_361218,c_359380]) ).
tcf(c_380351,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(g)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_367417,c_359380]) ).
tcf(c_380352,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(h)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_365816,c_359380]) ).
tcf(c_380514,plain,
( defined(g,domain(codomain(d)))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_84,c_375209]) ).
tcf(c_380516,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375209]) ).
tcf(c_380520,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(h,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375209]) ).
tcf(c_380528,plain,
( defined(g,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375209]) ).
tcf(c_380549,plain,
( defined(d,domain(codomain(d)))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_84,c_375224]) ).
tcf(c_380551,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375224]) ).
tcf(c_380555,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(h,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375224]) ).
tcf(c_380563,plain,
( defined(d,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375224]) ).
tcf(c_380589,plain,
defined(c,codomain(domain(domain(b)))),
inference(superposition,[status(thm)],[c_84,c_371875]) ).
tcf(c_380591,plain,
! [X0: $i] :
( defined(c,codomain(codomain(X0)))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_355313,c_371875]) ).
tcf(c_380599,plain,
defined(c,codomain(domain(b))),
inference(superposition,[status(thm)],[c_357697,c_371875]) ).
tcf(c_380600,plain,
( defined(c,codomain(codomain(a)))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_357967,c_371875]) ).
tcf(c_380601,plain,
( defined(c,codomain(codomain(a)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_357966,c_371875]) ).
tcf(c_380602,plain,
( defined(c,codomain(codomain(c)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_357968,c_371875]) ).
tcf(c_380605,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_372499,c_371875]) ).
tcf(c_380671,plain,
! [X0: $i] :
( defined(domain(X0),codomain(d))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_357641,c_374557]) ).
tcf(c_380672,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(d))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357642,c_374557]) ).
tcf(c_380704,plain,
( defined(c,codomain(d))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_355487,c_374604]) ).
tcf(c_380706,plain,
( defined(c,codomain(d))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_371887,c_374604]) ).
tcf(c_380717,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_359381]) ).
tcf(c_380718,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),c)
| ~ product(g,X1,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_355221,c_359381]) ).
tcf(c_380719,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ product(g,X1,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_355338,c_359381]) ).
tcf(c_380720,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_370036,c_359381]) ).
tcf(c_380721,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),c)
| ~ identity_map(a)
| ~ product(g,X0,X1)
| ~ defined(a,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_355458,c_359381]) ).
tcf(c_380724,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),c)
| ~ product(g,X0,X1)
| ~ defined(c,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_371890,c_359381]) ).
tcf(c_380725,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_361214,c_359381]) ).
tcf(c_380726,plain,
! [X0: $i,X1: $i] :
( defined(domain(g),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_365812,c_359381]) ).
tcf(c_380727,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_358670,c_359381]) ).
tcf(c_380728,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(d)),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_367826,c_359381]) ).
tcf(c_380729,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(g)),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_367830,c_359381]) ).
tcf(c_380730,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),c)
| ~ product(g,X0,X1)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_363062,c_359381]) ).
tcf(c_380731,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X1,d)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359381]) ).
tcf(c_380732,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X1,d)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359381]) ).
tcf(c_380733,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X1,d)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359381]) ).
tcf(c_380813,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_73,c_380717]) ).
tcf(c_380814,plain,
defined(codomain(compose(d,domain(g))),c),
inference(superposition,[status(thm)],[c_86,c_380717]) ).
tcf(c_380815,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_88,c_380717]) ).
tcf(c_380816,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_89,c_380717]) ).
tcf(c_380835,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(d,X1)),X0)
| ~ identity_map(c)
| ~ defined(g,X1)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_380813,c_81]) ).
tcf(c_380836,plain,
! [X0: $i] :
( defined(h,c)
| ~ defined(g,X0)
| ~ defined(g,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_366978]) ).
tcf(c_380837,plain,
! [X0: $i] :
( defined(d,c)
| ~ defined(g,X0)
| ~ defined(g,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_366845]) ).
tcf(c_380838,plain,
! [X0: $i] :
( defined(g,c)
| ~ defined(g,X0)
| ~ defined(h,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_362459]) ).
tcf(c_380839,plain,
! [X0: $i] :
( defined(d,c)
| ~ defined(g,X0)
| ~ defined(h,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_361818]) ).
tcf(c_380840,plain,
! [X0: $i] :
( defined(h,c)
| ~ defined(g,X0)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_356115]) ).
tcf(c_380841,plain,
! [X0: $i] :
( defined(g,c)
| ~ defined(g,X0)
| ~ defined(d,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_356106]) ).
tcf(c_380842,plain,
! [X0: $i] :
( defined(b,c)
| ~ defined(g,X0)
| ~ defined(c,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_356097]) ).
tcf(c_380843,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ defined(g,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_380813,c_355510]) ).
tcf(c_380844,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_380813,c_370040]) ).
tcf(c_380845,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),a)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_380813,c_355308]) ).
tcf(c_380930,plain,
( defined(h,domain(codomain(d)))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_84,c_375241]) ).
tcf(c_380932,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375241]) ).
tcf(c_380936,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375241]) ).
tcf(c_380944,plain,
( defined(h,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375241]) ).
tcf(c_380979,plain,
( defined(d,codomain(d))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_361274,c_374611]) ).
tcf(c_381019,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ product(g,X1,X0)
| ~ product(X0,domain(compose(d,X1)),X2) ),
inference(superposition,[status(thm)],[c_84,c_359382]) ).
tcf(c_381020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X2)
| ~ product(g,X3,X0)
| ~ defined(compose(d,X3),X1)
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_355313,c_359382]) ).
tcf(c_381021,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),c)
| ~ product(X0,codomain(a),X1) ),
inference(superposition,[status(thm)],[c_357967,c_359382]) ).
tcf(c_381022,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),d)
| ~ product(X0,codomain(a),X1) ),
inference(superposition,[status(thm)],[c_357966,c_359382]) ).
tcf(c_381023,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),d)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_357968,c_359382]) ).
tcf(c_381024,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),c)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_372499,c_359382]) ).
tcf(c_381025,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(d,X1)
| ~ product(X0,X1,X2)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359382]) ).
tcf(c_381026,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(d,X1)
| ~ product(X0,X1,X2)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359382]) ).
tcf(c_381027,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(d,X1)
| ~ product(X0,X1,X2)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359382]) ).
tcf(c_381080,plain,
( defined(d,domain(codomain(d)))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_84,c_375256]) ).
tcf(c_381082,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375256]) ).
tcf(c_381086,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375256]) ).
tcf(c_381094,plain,
( defined(d,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375256]) ).
tcf(c_381148,plain,
! [X0: $i] :
( defined(c,domain(codomain(X0)))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_84,c_375534]) ).
tcf(c_381150,plain,
! [X0: $i,X1: $i] :
( defined(c,codomain(X1))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_375534]) ).
tcf(c_381151,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_355338,c_375534]) ).
tcf(c_381153,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_375534]) ).
tcf(c_381154,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_375534]) ).
tcf(c_381156,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(b,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355477,c_375534]) ).
tcf(c_381160,plain,
! [X0: $i] :
( defined(c,c)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359296,c_375534]) ).
tcf(c_381161,plain,
! [X0: $i] :
( defined(c,a)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359295,c_375534]) ).
tcf(c_381162,plain,
! [X0: $i] :
( defined(c,a)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_375534]) ).
tcf(c_381164,plain,
! [X0: $i] :
( defined(c,codomain(a))
| ~ defined(b,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_375534]) ).
tcf(c_381165,plain,
! [X0: $i] :
( defined(c,codomain(a))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_375534]) ).
tcf(c_381166,plain,
! [X0: $i] :
( defined(c,codomain(c))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_375534]) ).
tcf(c_381167,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_375534]) ).
tcf(c_381172,plain,
! [X0: $i] :
( defined(c,c)
| ~ defined(g,X0)
| ~ defined(b,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_380813,c_375534]) ).
tcf(c_381173,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_357841,c_375534]) ).
tcf(c_381174,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_357840,c_375534]) ).
tcf(c_381349,plain,
( defined(c,domain(codomain(a)))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_84,c_375672]) ).
tcf(c_381351,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375672]) ).
tcf(c_381353,plain,
( defined(c,c)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_375672]) ).
tcf(c_381354,plain,
( defined(c,a)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_375672]) ).
tcf(c_381355,plain,
( defined(c,a)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_375672]) ).
tcf(c_381359,plain,
( defined(c,codomain(c))
| ~ defined(b,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_357968,c_375672]) ).
tcf(c_381388,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_359383]) ).
tcf(c_381389,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ product(g,X0,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_355313,c_359383]) ).
tcf(c_381390,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),c) ),
inference(superposition,[status(thm)],[c_357967,c_359383]) ).
tcf(c_381391,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),d) ),
inference(superposition,[status(thm)],[c_357966,c_359383]) ).
tcf(c_381392,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),d) ),
inference(superposition,[status(thm)],[c_357968,c_359383]) ).
tcf(c_381393,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),c) ),
inference(superposition,[status(thm)],[c_372499,c_359383]) ).
tcf(c_381394,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(d,X1)
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_359383]) ).
tcf(c_381395,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(d,X1)
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_359383]) ).
tcf(c_381396,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(d,X1)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_359383]) ).
tcf(c_381433,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ product(g,domain(d),X0) ),
inference(superposition,[status(thm)],[c_357586,c_381388]) ).
tcf(c_381434,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_360947,c_381388]) ).
tcf(c_381435,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365770,c_381388]) ).
tcf(c_381436,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ product(g,X0,X2)
| ~ identity_map(domain(compose(d,X0)))
| ~ defined(domain(compose(d,X0)),X1) ),
inference(superposition,[status(thm)],[c_381388,c_81]) ).
tcf(c_381437,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_355774]) ).
tcf(c_381438,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ product(g,X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_355370]) ).
tcf(c_381439,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_375534]) ).
tcf(c_381440,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_366978]) ).
tcf(c_381441,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_366845]) ).
tcf(c_381442,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_362459]) ).
tcf(c_381443,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_361818]) ).
tcf(c_381444,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_356115]) ).
tcf(c_381445,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_356106]) ).
tcf(c_381446,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_356097]) ).
tcf(c_381447,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(d,X0)))
| ~ defined(X2,X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_381388,c_355510]) ).
tcf(c_381448,plain,
! [X0: $i] :
( defined(a,domain(compose(d,X0)))
| ~ identity_map(b)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_381388,c_359639]) ).
tcf(c_381449,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_381388,c_355217]) ).
tcf(c_381450,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ product(g,X0,b) ),
inference(superposition,[status(thm)],[c_381388,c_374181]) ).
tcf(c_381451,plain,
! [X0: $i] :
( ( domain(compose(d,X0)) = domain(b) )
| ~ product(g,X0,b)
| ~ identity_map(domain(compose(d,X0))) ),
inference(superposition,[status(thm)],[c_381388,c_358219]) ).
tcf(c_381452,plain,
! [X0: $i] :
( defined(a,domain(compose(d,X0)))
| ~ identity_map(b)
| ~ product(g,X0,b) ),
inference(superposition,[status(thm)],[c_381388,c_355339]) ).
tcf(c_381453,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_360332]) ).
tcf(c_381454,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_360167]) ).
tcf(c_381455,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_360042]) ).
tcf(c_381456,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_359797]) ).
tcf(c_381457,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_355219]) ).
tcf(c_381458,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,d) ),
inference(superposition,[status(thm)],[c_381388,c_355218]) ).
tcf(c_381459,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_362842]) ).
tcf(c_381460,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_362604]) ).
tcf(c_381461,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_361637]) ).
tcf(c_381462,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_361317]) ).
tcf(c_381463,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_355343]) ).
tcf(c_381464,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,h) ),
inference(superposition,[status(thm)],[c_381388,c_355340]) ).
tcf(c_381465,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_367128]) ).
tcf(c_381466,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_366693]) ).
tcf(c_381467,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_366580]) ).
tcf(c_381468,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_366010]) ).
tcf(c_381469,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_355344]) ).
tcf(c_381470,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_381388,c_355341]) ).
tcf(c_381471,plain,
! [X0: $i] :
( ( domain(compose(d,X0)) = domain(a) )
| ~ product(g,X0,a)
| ~ identity_map(domain(compose(d,X0))) ),
inference(superposition,[status(thm)],[c_381388,c_358206]) ).
tcf(c_381472,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_357261]) ).
tcf(c_381473,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_357248]) ).
tcf(c_381474,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_357199]) ).
tcf(c_381475,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_357148]) ).
tcf(c_381476,plain,
! [X0: $i] :
( defined(g,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_355917]) ).
tcf(c_381477,plain,
! [X0: $i] :
( defined(h,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_355524]) ).
tcf(c_381478,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_355449]) ).
tcf(c_381479,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_355364]) ).
tcf(c_381480,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_367214]) ).
tcf(c_381481,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_366956]) ).
tcf(c_381482,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_362509]) ).
tcf(c_381483,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_362442]) ).
tcf(c_381484,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_358506]) ).
tcf(c_381485,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_358340]) ).
tcf(c_381486,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_357955]) ).
tcf(c_381487,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_356796]) ).
tcf(c_381488,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_362280]) ).
tcf(c_381489,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_362129]) ).
tcf(c_381490,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_360544]) ).
tcf(c_381491,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375256]) ).
tcf(c_381492,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375241]) ).
tcf(c_381493,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375224]) ).
tcf(c_381494,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375209]) ).
tcf(c_381495,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375192]) ).
tcf(c_381496,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375177]) ).
tcf(c_381497,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_374786]) ).
tcf(c_381498,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_372302]) ).
tcf(c_381499,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_372287]) ).
tcf(c_381500,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_372264]) ).
tcf(c_381501,plain,
! [X0: $i] :
( defined(c,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(b)) ),
inference(superposition,[status(thm)],[c_381388,c_371875]) ).
tcf(c_381502,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ product(g,X0,domain(b)) ),
inference(superposition,[status(thm)],[c_381388,c_371889]) ).
tcf(c_381503,plain,
! [X0: $i] :
( defined(a,domain(compose(d,X0)))
| ~ identity_map(b)
| ~ product(g,X0,domain(b)) ),
inference(superposition,[status(thm)],[c_381388,c_356681]) ).
tcf(c_381504,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361396]) ).
tcf(c_381505,plain,
! [X0: $i] :
( defined(g,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361638]) ).
tcf(c_381506,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361385]) ).
tcf(c_381507,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361318]) ).
tcf(c_381508,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361374]) ).
tcf(c_381509,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_361250]) ).
tcf(c_381510,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_357187]) ).
tcf(c_381511,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_357016]) ).
tcf(c_381512,plain,
! [X0: $i] :
( defined(h,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_366581]) ).
tcf(c_381513,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(d,X0))))
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_366011]) ).
tcf(c_381514,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_366174]) ).
tcf(c_381515,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(h)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_366140]) ).
tcf(c_381516,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_366093]) ).
tcf(c_381517,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_365897]) ).
tcf(c_381518,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_357235]) ).
tcf(c_381519,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ identity_map(g)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_357136]) ).
tcf(c_381520,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_375672]) ).
tcf(c_381521,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_367199]) ).
tcf(c_381522,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_367184]) ).
tcf(c_381523,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_366913]) ).
tcf(c_381524,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_366890]) ).
tcf(c_381525,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362494]) ).
tcf(c_381526,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362471]) ).
tcf(c_381527,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362419]) ).
tcf(c_381528,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362318]) ).
tcf(c_381529,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_358483]) ).
tcf(c_381530,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_358434]) ).
tcf(c_381531,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_358150]) ).
tcf(c_381532,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_358050]) ).
tcf(c_381533,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_357942]) ).
tcf(c_381534,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_357929]) ).
tcf(c_381535,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,c)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_356787]) ).
tcf(c_381536,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_356743]) ).
tcf(c_381537,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362295]) ).
tcf(c_381538,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_362265]) ).
tcf(c_381539,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_360587]) ).
tcf(c_381540,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(d,X0)))
| ~ product(g,X1,X2)
| ~ product(g,X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_381388,c_359383]) ).
tcf(c_381541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X2)
| ~ product(g,X3,X0)
| ~ product(g,X1,compose(d,X3))
| ~ product(X0,domain(compose(d,X1)),X2) ),
inference(superposition,[status(thm)],[c_381388,c_359382]) ).
tcf(c_381830,plain,
! [X0: $i] :
( ( domain(compose(d,X0)) = domain(a) )
| ~ product(g,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381471,c_82]) ).
tcf(c_381833,plain,
! [X0: $i] :
( ( domain(compose(d,X0)) = domain(b) )
| ~ product(g,X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381451,c_82]) ).
tcf(c_381836,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ product(g,X0,X2)
| ~ defined(domain(compose(d,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381436,c_82]) ).
tcf(c_382413,plain,
( defined(c,domain(codomain(a)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_375685]) ).
tcf(c_382415,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375685]) ).
tcf(c_382417,plain,
( defined(c,c)
| ~ identity_map(a)
| ~ defined(b,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359296,c_375685]) ).
tcf(c_382418,plain,
( defined(c,a)
| ~ identity_map(a)
| ~ defined(b,d)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_359295,c_375685]) ).
tcf(c_382419,plain,
( defined(c,a)
| ~ identity_map(a)
| ~ defined(b,d)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_359294,c_375685]) ).
tcf(c_382424,plain,
( defined(c,codomain(d))
| ~ defined(b,d)
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_375685]) ).
tcf(c_382425,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,d)
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_375685]) ).
tcf(c_382517,plain,
( defined(c,domain(codomain(c)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_375699]) ).
tcf(c_382519,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375699]) ).
tcf(c_382522,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_375699]) ).
tcf(c_382524,plain,
( defined(c,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_370005,c_375699]) ).
tcf(c_382532,plain,
( defined(c,codomain(d))
| ~ defined(b,d)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_375699]) ).
tcf(c_382535,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,d)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_375699]) ).
tcf(c_382557,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370889,c_81]) ).
tcf(c_382558,plain,
( defined(compose(g,domain(d)),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370889,c_363910]) ).
tcf(c_382559,plain,
( defined(compose(g,domain(d)),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370889,c_363909]) ).
tcf(c_382561,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370889,c_355309]) ).
tcf(c_382578,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370896,c_81]) ).
tcf(c_382579,plain,
( defined(compose(h,domain(d)),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370896,c_363910]) ).
tcf(c_382580,plain,
( defined(compose(h,domain(d)),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370896,c_363909]) ).
tcf(c_382582,plain,
( defined(compose(h,domain(d)),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370896,c_355309]) ).
tcf(c_382608,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370899,c_81]) ).
tcf(c_382609,plain,
( defined(compose(h,domain(g)),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370899,c_363910]) ).
tcf(c_382610,plain,
( defined(compose(h,domain(g)),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370899,c_363909]) ).
tcf(c_382612,plain,
( defined(compose(h,domain(g)),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370899,c_355309]) ).
tcf(c_382637,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370902,c_81]) ).
tcf(c_382638,plain,
( defined(compose(g,domain(h)),g)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370902,c_363910]) ).
tcf(c_382639,plain,
( defined(compose(g,domain(h)),h)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370902,c_363909]) ).
tcf(c_382641,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370902,c_355309]) ).
tcf(c_382699,plain,
( defined(b,domain(codomain(d)))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_84,c_375716]) ).
tcf(c_382701,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375716]) ).
tcf(c_382705,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(c)
| ~ defined(c,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355472,c_375716]) ).
tcf(c_382707,plain,
( defined(b,c)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359296,c_375716]) ).
tcf(c_382708,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359295,c_375716]) ).
tcf(c_382709,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_375716]) ).
tcf(c_382713,plain,
( defined(b,codomain(c))
| ~ defined(c,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375716]) ).
tcf(c_382717,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375716]) ).
tcf(c_382844,plain,
( defined(c,domain(codomain(d)))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_84,c_375741]) ).
tcf(c_382846,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_375741]) ).
tcf(c_382852,plain,
( defined(c,c)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_359296,c_375741]) ).
tcf(c_382853,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_359295,c_375741]) ).
tcf(c_382854,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_359294,c_375741]) ).
tcf(c_382858,plain,
( defined(c,codomain(c))
| ~ defined(b,c)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_375741]) ).
tcf(c_382862,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,c)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_375741]) ).
tcf(c_382901,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355338,c_370988]) ).
tcf(c_382903,plain,
( defined(codomain(c),g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370036,c_370988]) ).
tcf(c_382942,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),g)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_380813,c_370988]) ).
tcf(c_382983,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355338,c_371027]) ).
tcf(c_382985,plain,
( defined(codomain(c),h)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370036,c_371027]) ).
tcf(c_383024,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),h)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_380813,c_371027]) ).
tcf(c_383047,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_371093]) ).
tcf(c_383055,plain,
( ( domain(a) = codomain(a) )
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_371096]) ).
tcf(c_383068,plain,
codomain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_84,c_371102]) ).
tcf(c_383070,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(a) )
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355313,c_371102]) ).
tcf(c_383071,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_358107,c_371102]) ).
tcf(c_383072,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_358007,c_371102]) ).
tcf(c_383073,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357938,c_371102]) ).
tcf(c_383074,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357925,c_371102]) ).
tcf(c_383075,plain,
domain(a) = codomain(b),
inference(superposition,[status(thm)],[c_355191,c_371102]) ).
tcf(c_383076,plain,
( ( domain(a) = codomain(d) )
| ~ identity_map(c)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_370871,c_371102]) ).
tcf(c_383078,plain,
( ( domain(a) = codomain(g) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_356615,c_371102]) ).
tcf(c_383079,plain,
( ( domain(a) = codomain(h) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_356614,c_371102]) ).
tcf(c_383080,plain,
( ( codomain(domain(b)) = domain(a) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_356611,c_371102]) ).
tcf(c_383081,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(a) )
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_356616,c_371102]) ).
tcf(c_383082,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(a) )
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_356612,c_371102]) ).
tcf(c_383083,plain,
( ( codomain(codomain(c)) = domain(a) )
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_358297,c_371102]) ).
tcf(c_383084,plain,
( ( codomain(codomain(c)) = domain(a) )
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357951,c_371102]) ).
tcf(c_383085,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_357967,c_371102]) ).
tcf(c_383086,plain,
( ( codomain(codomain(a)) = domain(a) )
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_357966,c_371102]) ).
tcf(c_383087,plain,
( ( codomain(codomain(c)) = domain(a) )
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_357968,c_371102]) ).
tcf(c_383088,plain,
( ( codomain(compose(g,domain(d))) = domain(a) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_358793,c_371102]) ).
tcf(c_383089,plain,
( ( codomain(codomain(d)) = domain(a) )
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_372499,c_371102]) ).
tcf(c_383090,plain,
! [X0: $i] :
( ( codomain(compose(b,X0)) = domain(a) )
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_363567,c_371102]) ).
tcf(c_383091,plain,
( ( codomain(compose(h,domain(d))) = domain(a) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_359204,c_371102]) ).
tcf(c_383092,plain,
! [X0: $i] :
( ( codomain(domain(compose(d,X0))) = domain(a) )
| ~ product(g,X0,a) ),
inference(superposition,[status(thm)],[c_381388,c_371102]) ).
tcf(c_383093,plain,
( ( codomain(compose(h,domain(g))) = domain(a) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_366098,c_371102]) ).
tcf(c_383094,plain,
( ( codomain(compose(g,domain(h))) = domain(a) )
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_363133,c_371102]) ).
tcf(c_383212,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_375534]) ).
tcf(c_383213,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_366978]) ).
tcf(c_383214,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_366845]) ).
tcf(c_383215,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_362459]) ).
tcf(c_383216,plain,
( defined(c,domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383075,c_374208]) ).
tcf(c_383217,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_361818]) ).
tcf(c_383218,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_361802]) ).
tcf(c_383219,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_361800]) ).
tcf(c_383220,plain,
( defined(h,domain(a))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383075,c_366746]) ).
tcf(c_383221,plain,
( defined(d,domain(a))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383075,c_366183]) ).
tcf(c_383223,plain,
( defined(domain(a),a)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_383075,c_359295]) ).
tcf(c_383224,plain,
( defined(domain(a),a)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_383075,c_359294]) ).
tcf(c_383225,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_357533]) ).
tcf(c_383226,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383075,c_357531]) ).
tcf(c_383227,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_357433]) ).
tcf(c_383228,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_357431]) ).
tcf(c_383229,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_356115]) ).
tcf(c_383230,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_356106]) ).
tcf(c_383231,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_357047]) ).
tcf(c_383232,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383075,c_357045]) ).
tcf(c_383233,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_356097]) ).
tcf(c_383234,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383075,c_355510]) ).
tcf(c_383235,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_356892]) ).
tcf(c_383236,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_356890]) ).
tcf(c_383237,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383075,c_356616]) ).
tcf(c_383238,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383075,c_356612]) ).
tcf(c_383239,plain,
( defined(g,domain(a))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_361697]) ).
tcf(c_383240,plain,
( defined(d,domain(a))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383075,c_361405]) ).
tcf(c_383241,plain,
! [X0: $i] :
( defined(domain(a),X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_383075,c_355338]) ).
tcf(c_383242,plain,
compose(domain(a),domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_383075,c_357716]) ).
tcf(c_383244,plain,
compose(domain(a),b) = b,
inference(superposition,[status(thm)],[c_383075,c_357831]) ).
tcf(c_383245,plain,
! [X0: $i] :
( ( X0 = b )
| ~ product(domain(a),b,X0) ),
inference(superposition,[status(thm)],[c_383075,c_355388]) ).
tcf(c_383246,plain,
product(domain(a),domain(a),domain(a)),
inference(superposition,[status(thm)],[c_383075,c_357726]) ).
tcf(c_383247,plain,
defined(domain(a),domain(a)),
inference(superposition,[status(thm)],[c_383075,c_357727]) ).
tcf(c_383248,plain,
domain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_383075,c_357642]) ).
tcf(c_383249,plain,
( defined(h,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_355503]) ).
tcf(c_383250,plain,
( defined(g,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383075,c_355502]) ).
tcf(c_383251,plain,
( defined(b,domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383075,c_355501]) ).
tcf(c_383252,plain,
product(domain(a),b,b),
inference(superposition,[status(thm)],[c_383075,c_87]) ).
tcf(c_383253,plain,
defined(domain(a),b),
inference(superposition,[status(thm)],[c_383075,c_85]) ).
tcf(c_383254,plain,
identity_map(domain(a)),
inference(superposition,[status(thm)],[c_383075,c_83]) ).
tcf(c_383255,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_383075,c_355313]) ).
tcf(c_383501,plain,
defined(a,codomain(b)),
inference(superposition,[status(thm)],[c_383253,c_355774]) ).
tcf(c_383503,plain,
defined(a,domain(a)),
inference(light_normalisation,[status(thm)],[c_383501,c_383075]) ).
tcf(c_383504,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),b)
| ~ product(d,X1,b)
| ~ product(domain(a),c,X0) ),
inference(superposition,[status(thm)],[c_383252,c_358809]) ).
tcf(c_383505,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,b,X2)
| ~ product(X0,b,X2)
| ~ product(X0,domain(a),X1) ),
inference(superposition,[status(thm)],[c_383252,c_80]) ).
tcf(c_383506,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(a),X1,X2)
| ~ product(b,X0,X2)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_383252,c_77]) ).
tcf(c_383507,plain,
! [X0: $i,X1: $i] :
( defined(X1,b)
| ~ defined(X0,b)
| ~ product(X0,domain(a),X1) ),
inference(superposition,[status(thm)],[c_383252,c_79]) ).
tcf(c_383510,plain,
! [X0: $i,X1: $i] :
( defined(domain(a),X1)
| ~ defined(b,X0)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_383252,c_76]) ).
tcf(c_383578,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,X1)))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_355220]) ).
tcf(c_383579,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,codomain(X2))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_355313,c_355220]) ).
tcf(c_383580,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),c) ),
inference(superposition,[status(thm)],[c_357967,c_355220]) ).
tcf(c_383581,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_357966,c_355220]) ).
tcf(c_383582,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_357968,c_355220]) ).
tcf(c_383583,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_358670,c_355220]) ).
tcf(c_383589,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),c) ),
inference(superposition,[status(thm)],[c_372499,c_355220]) ).
tcf(c_383590,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_367826,c_355220]) ).
tcf(c_383591,plain,
( defined(domain(d),a)
| ~ defined(d,d)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_367870,c_355220]) ).
tcf(c_383592,plain,
( defined(domain(d),a)
| ~ defined(d,c)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_367867,c_355220]) ).
tcf(c_383594,plain,
( defined(domain(d),c)
| ~ defined(d,d)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_367871,c_355220]) ).
tcf(c_383598,plain,
( defined(domain(d),d)
| ~ defined(d,c)
| ~ defined(h,domain(d)) ),
inference(superposition,[status(thm)],[c_370896,c_355220]) ).
tcf(c_383600,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(d,X0)))
| ~ defined(X1,X2)
| ~ product(g,X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_381388,c_355220]) ).
tcf(c_383619,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_356143,c_355220]) ).
tcf(c_383620,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_356183,c_355220]) ).
tcf(c_383621,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(a,b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355943,c_355220]) ).
tcf(c_383636,plain,
( defined(domain(d),d)
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383598,c_355251]) ).
tcf(c_383639,plain,
( defined(domain(d),c)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383594,c_355251]) ).
tcf(c_383642,plain,
( defined(domain(d),a)
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383592,c_355251]) ).
tcf(c_383645,plain,
( defined(domain(d),a)
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383591,c_355251]) ).
tcf(c_383749,plain,
( defined(b,domain(c))
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_355943,c_383578]) ).
tcf(c_383750,plain,
! [X0: $i] :
( defined(domain(X0),domain(domain(X0)))
| ~ defined(domain(X0),domain(X0)) ),
inference(superposition,[status(thm)],[c_357686,c_383578]) ).
tcf(c_383751,plain,
! [X0: $i] :
( defined(codomain(X0),domain(codomain(X0)))
| ~ defined(codomain(X0),codomain(X0)) ),
inference(superposition,[status(thm)],[c_357716,c_383578]) ).
tcf(c_383752,plain,
( defined(domain(h),domain(d))
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_360947,c_383578]) ).
tcf(c_383753,plain,
( defined(d,domain(d))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_368222,c_383578]) ).
tcf(c_383754,plain,
( defined(domain(b),domain(c))
| ~ defined(c,domain(b)) ),
inference(superposition,[status(thm)],[c_371881,c_383578]) ).
tcf(c_383755,plain,
( defined(b,domain(b))
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_383244,c_383578]) ).
tcf(c_383756,plain,
( defined(compose(g,domain(d)),domain(d))
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_363402,c_383578]) ).
tcf(c_383757,plain,
( defined(domain(g),domain(d))
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_365770,c_383578]) ).
tcf(c_383758,plain,
( defined(compose(g,domain(h)),domain(d))
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_376495,c_383578]) ).
tcf(c_383759,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ defined(X0,X1)
| ~ identity_map(domain(compose(X0,X1)))
| ~ defined(domain(compose(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_383578,c_81]) ).
tcf(c_383760,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(domain(compose(X0,domain(X1)))))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_355774]) ).
tcf(c_383761,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,domain(X1))))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_355370]) ).
tcf(c_383762,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(X0,codomain(X1))))
| ~ defined(b,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_375534]) ).
tcf(c_383763,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(compose(X0,codomain(X1))))
| ~ defined(g,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_366978]) ).
tcf(c_383764,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(X0,codomain(X1))))
| ~ defined(g,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_366845]) ).
tcf(c_383765,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(compose(X0,codomain(X1))))
| ~ defined(h,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_362459]) ).
tcf(c_383766,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(X0,codomain(X1))))
| ~ defined(h,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_361818]) ).
tcf(c_383767,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(compose(X0,codomain(X1))))
| ~ defined(d,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_356115]) ).
tcf(c_383768,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(compose(X0,codomain(X1))))
| ~ defined(d,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_356106]) ).
tcf(c_383769,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(compose(X0,codomain(X1))))
| ~ defined(c,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_356097]) ).
tcf(c_383770,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(X0,codomain(X1))))
| ~ defined(X2,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_383578,c_355510]) ).
tcf(c_383771,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,c)))
| ~ identity_map(b)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_383578,c_359639]) ).
tcf(c_383772,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,c)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_383578,c_355217]) ).
tcf(c_383773,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,b)))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_383578,c_374181]) ).
tcf(c_383774,plain,
! [X0: $i] :
( ( domain(compose(X0,b)) = domain(b) )
| ~ defined(X0,b)
| ~ identity_map(domain(compose(X0,b))) ),
inference(superposition,[status(thm)],[c_383578,c_358219]) ).
tcf(c_383775,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,b)))
| ~ identity_map(b)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_383578,c_355339]) ).
tcf(c_383776,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,d)))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_360332]) ).
tcf(c_383777,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,d)))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_360167]) ).
tcf(c_383778,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,d)))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_360042]) ).
tcf(c_383779,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,d)))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_359797]) ).
tcf(c_383780,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,d)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_355219]) ).
tcf(c_383781,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,d)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_383578,c_355218]) ).
tcf(c_383782,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,h)))
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_362842]) ).
tcf(c_383783,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,h)))
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_362604]) ).
tcf(c_383784,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,h)))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_361637]) ).
tcf(c_383785,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,h)))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_361317]) ).
tcf(c_383786,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,h)))
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_355343]) ).
tcf(c_383787,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,h)))
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_383578,c_355340]) ).
tcf(c_383788,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,g)))
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_367128]) ).
tcf(c_383789,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,g)))
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_366693]) ).
tcf(c_383790,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,g)))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_366580]) ).
tcf(c_383791,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,g)))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_366010]) ).
tcf(c_383792,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,g)))
| ~ identity_map(g)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_355344]) ).
tcf(c_383793,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,g)))
| ~ identity_map(g)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_383578,c_355341]) ).
tcf(c_383794,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(X0,compose(X1,X2))))
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_383578,c_355220]) ).
tcf(c_383795,plain,
! [X0: $i] :
( ( codomain(domain(compose(X0,a))) = domain(a) )
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_383578,c_371102]) ).
tcf(c_383796,plain,
! [X0: $i] :
( ( domain(compose(X0,a)) = domain(a) )
| ~ defined(X0,a)
| ~ identity_map(domain(compose(X0,a))) ),
inference(superposition,[status(thm)],[c_383578,c_358206]) ).
tcf(c_383797,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(d))))
| ~ identity_map(g)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_357261]) ).
tcf(c_383798,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(d))))
| ~ identity_map(h)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_357248]) ).
tcf(c_383799,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(d))))
| ~ identity_map(g)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_357199]) ).
tcf(c_383800,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(d))))
| ~ identity_map(h)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_357148]) ).
tcf(c_383801,plain,
! [X0: $i] :
( defined(g,codomain(domain(compose(X0,domain(d)))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_355917]) ).
tcf(c_383802,plain,
! [X0: $i] :
( defined(h,codomain(domain(compose(X0,domain(d)))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_355524]) ).
tcf(c_383803,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_355449]) ).
tcf(c_383804,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_355364]) ).
tcf(c_383805,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(c))))
| ~ defined(b,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_375699]) ).
tcf(c_383806,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(c))))
| ~ defined(g,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_367214]) ).
tcf(c_383807,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(c))))
| ~ defined(g,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_366956]) ).
tcf(c_383808,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(c))))
| ~ defined(h,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_362509]) ).
tcf(c_383809,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(c))))
| ~ defined(h,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_362442]) ).
tcf(c_383810,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(c))))
| ~ defined(d,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_358506]) ).
tcf(c_383811,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(c))))
| ~ defined(X1,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_358340]) ).
tcf(c_383812,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(c))))
| ~ defined(c,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_357955]) ).
tcf(c_383813,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(c))))
| ~ defined(d,d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_356796]) ).
tcf(c_383814,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(c))))
| ~ identity_map(d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_362280]) ).
tcf(c_383815,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(c))))
| ~ identity_map(d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_362129]) ).
tcf(c_383816,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(c))))
| ~ identity_map(d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_360544]) ).
tcf(c_383817,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(b,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375741]) ).
tcf(c_383818,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(c,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375716]) ).
tcf(c_383819,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(g,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375256]) ).
tcf(c_383820,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(g,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375241]) ).
tcf(c_383821,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(h,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375224]) ).
tcf(c_383822,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(h,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375209]) ).
tcf(c_383823,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(d,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375192]) ).
tcf(c_383824,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(d,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_375177]) ).
tcf(c_383825,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(d))))
| ~ defined(X1,c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_374786]) ).
tcf(c_383826,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_372302]) ).
tcf(c_383827,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_372287]) ).
tcf(c_383828,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_372264]) ).
tcf(c_383829,plain,
! [X0: $i] :
( defined(c,codomain(domain(compose(X0,domain(b)))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_383578,c_371875]) ).
tcf(c_383830,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(b))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_383578,c_371889]) ).
tcf(c_383831,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,domain(b))))
| ~ identity_map(b)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_383578,c_356681]) ).
tcf(c_383832,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(h))))
| ~ identity_map(g)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361396]) ).
tcf(c_383833,plain,
! [X0: $i] :
( defined(g,codomain(domain(compose(X0,domain(h)))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361638]) ).
tcf(c_383834,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(h))))
| ~ identity_map(g)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361385]) ).
tcf(c_383835,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(X0,domain(h)))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361318]) ).
tcf(c_383836,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(h))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361374]) ).
tcf(c_383837,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(h))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_361250]) ).
tcf(c_383838,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(h))))
| ~ identity_map(h)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_357187]) ).
tcf(c_383839,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(h))))
| ~ identity_map(h)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_357016]) ).
tcf(c_383840,plain,
! [X0: $i] :
( defined(h,codomain(domain(compose(X0,domain(g)))))
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_366581]) ).
tcf(c_383841,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(X0,domain(g)))))
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_366011]) ).
tcf(c_383842,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(g))))
| ~ identity_map(h)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_366174]) ).
tcf(c_383843,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(g))))
| ~ identity_map(h)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_366140]) ).
tcf(c_383844,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,domain(g))))
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_366093]) ).
tcf(c_383845,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(g))))
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_365897]) ).
tcf(c_383846,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(g))))
| ~ identity_map(g)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_357235]) ).
tcf(c_383847,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(g))))
| ~ identity_map(g)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_357136]) ).
tcf(c_383848,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(a))))
| ~ defined(b,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_375685]) ).
tcf(c_383849,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(a))))
| ~ defined(b,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_375672]) ).
tcf(c_383850,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(a))))
| ~ defined(g,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_367199]) ).
tcf(c_383851,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(a))))
| ~ defined(g,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_367184]) ).
tcf(c_383852,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(a))))
| ~ defined(g,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_366913]) ).
tcf(c_383853,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(a))))
| ~ defined(g,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_366890]) ).
tcf(c_383854,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(a))))
| ~ defined(h,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362494]) ).
tcf(c_383855,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(a))))
| ~ defined(h,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362471]) ).
tcf(c_383856,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(a))))
| ~ defined(h,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362419]) ).
tcf(c_383857,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(a))))
| ~ defined(h,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362318]) ).
tcf(c_383858,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(a))))
| ~ defined(d,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_358483]) ).
tcf(c_383859,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(a))))
| ~ defined(d,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_358434]) ).
tcf(c_383860,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(a))))
| ~ defined(X1,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_358150]) ).
tcf(c_383861,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(a))))
| ~ defined(X1,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_358050]) ).
tcf(c_383862,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(a))))
| ~ defined(c,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_357942]) ).
tcf(c_383863,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(a))))
| ~ defined(c,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_357929]) ).
tcf(c_383864,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(a))))
| ~ defined(d,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_356787]) ).
tcf(c_383865,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(a))))
| ~ defined(d,d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_356743]) ).
tcf(c_383866,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(a))))
| ~ identity_map(d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362295]) ).
tcf(c_383867,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(a))))
| ~ identity_map(d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_362265]) ).
tcf(c_383868,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(a))))
| ~ identity_map(d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_360587]) ).
tcf(c_383869,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(X0,compose(d,X1))))
| ~ product(g,X1,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_383578,c_359383]) ).
tcf(c_383870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X3)
| ~ product(g,X2,X0)
| ~ defined(X1,compose(d,X2))
| ~ product(X0,domain(compose(X1,compose(d,X2))),X3) ),
inference(superposition,[status(thm)],[c_383578,c_359382]) ).
tcf(c_383871,plain,
( defined(b,domain(b))
| ~ defined(a,b) ),
inference(light_normalisation,[status(thm)],[c_383749,c_371446]) ).
tcf(c_383888,plain,
defined(domain(g),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_383757,c_365813]) ).
tcf(c_383889,plain,
( defined(domain(b),domain(b))
| ~ defined(c,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_383754,c_371446]) ).
tcf(c_383890,plain,
defined(domain(h),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_383752,c_361215]) ).
tcf(c_383969,plain,
defined(compose(g,domain(h)),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_383758,c_363063]) ).
tcf(c_383970,plain,
defined(compose(g,domain(d)),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_383756,c_358671]) ).
tcf(c_384172,plain,
! [X0: $i] :
( ( domain(compose(X0,a)) = domain(a) )
| ~ defined(X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383796,c_82]) ).
tcf(c_384178,plain,
! [X0: $i] :
( ( domain(compose(X0,b)) = domain(b) )
| ~ defined(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383774,c_82]) ).
tcf(c_384184,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ defined(X0,X1)
| ~ defined(domain(compose(X0,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_383759,c_82]) ).
tcf(c_384630,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(domain(X0),X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_355269,c_369489]) ).
tcf(c_384636,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(domain(X0),X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_384630]) ).
tcf(c_384642,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ product(domain(b),X0,X1) ),
inference(superposition,[status(thm)],[c_371446,c_384630]) ).
tcf(c_384643,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X2)
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357641,c_384630]) ).
tcf(c_384644,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_357642,c_384630]) ).
tcf(c_384661,plain,
! [X0: $i] :
( defined(c,compose(domain(b),X0))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_371446,c_384636]) ).
tcf(c_384662,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),compose(domain(X0),X1))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_357641,c_384636]) ).
tcf(c_384663,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(codomain(X0),X1))
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_357642,c_384636]) ).
tcf(c_384664,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(domain(X0),X1)
| ~ identity_map(compose(domain(X0),X1))
| ~ defined(compose(domain(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_384636,c_81]) ).
tcf(c_384665,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(compose(domain(domain(X0)),X1)))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_355774]) ).
tcf(c_384666,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(domain(domain(X0)),X1))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_355370]) ).
tcf(c_384667,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(domain(codomain(X0)),X1))
| ~ defined(b,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_375534]) ).
tcf(c_384668,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(domain(codomain(X0)),X1))
| ~ defined(g,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_366978]) ).
tcf(c_384669,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(domain(codomain(X0)),X1))
| ~ defined(g,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_366845]) ).
tcf(c_384670,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(domain(codomain(X0)),X1))
| ~ defined(h,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_362459]) ).
tcf(c_384671,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(domain(codomain(X0)),X1))
| ~ defined(h,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_361818]) ).
tcf(c_384672,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(domain(codomain(X0)),X1))
| ~ defined(d,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_356115]) ).
tcf(c_384673,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(domain(codomain(X0)),X1))
| ~ defined(d,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_356106]) ).
tcf(c_384674,plain,
! [X0: $i,X1: $i] :
( defined(b,compose(domain(codomain(X0)),X1))
| ~ defined(c,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_356097]) ).
tcf(c_384675,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(domain(codomain(X0)),X1))
| ~ defined(X2,X0)
| ~ defined(domain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_355510]) ).
tcf(c_384676,plain,
! [X0: $i] :
( defined(a,compose(domain(c),X0))
| ~ identity_map(b)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_384636,c_359639]) ).
tcf(c_384677,plain,
! [X0: $i] :
( defined(b,compose(domain(c),X0))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355217]) ).
tcf(c_384678,plain,
! [X0: $i] :
( defined(c,compose(domain(b),X0))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_384636,c_374181]) ).
tcf(c_384679,plain,
! [X0: $i] :
( ( compose(domain(b),X0) = domain(b) )
| ~ defined(domain(b),X0)
| ~ identity_map(compose(domain(b),X0)) ),
inference(superposition,[status(thm)],[c_384636,c_358219]) ).
tcf(c_384680,plain,
! [X0: $i] :
( defined(a,compose(domain(b),X0))
| ~ identity_map(b)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355339]) ).
tcf(c_384681,plain,
! [X0: $i] :
( defined(b,compose(domain(d),X0))
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360332]) ).
tcf(c_384682,plain,
! [X0: $i] :
( defined(b,compose(domain(d),X0))
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360167]) ).
tcf(c_384683,plain,
! [X0: $i] :
( defined(c,compose(domain(d),X0))
| ~ identity_map(g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360042]) ).
tcf(c_384684,plain,
! [X0: $i] :
( defined(c,compose(domain(d),X0))
| ~ identity_map(h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_359797]) ).
tcf(c_384685,plain,
! [X0: $i] :
( defined(g,compose(domain(d),X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355219]) ).
tcf(c_384686,plain,
! [X0: $i] :
( defined(h,compose(domain(d),X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355218]) ).
tcf(c_384687,plain,
! [X0: $i] :
( defined(c,compose(domain(h),X0))
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362842]) ).
tcf(c_384688,plain,
! [X0: $i] :
( defined(b,compose(domain(h),X0))
| ~ identity_map(g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362604]) ).
tcf(c_384689,plain,
! [X0: $i] :
( defined(g,compose(domain(h),X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361637]) ).
tcf(c_384690,plain,
! [X0: $i] :
( defined(d,compose(domain(h),X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361317]) ).
tcf(c_384691,plain,
! [X0: $i] :
( defined(b,compose(domain(h),X0))
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355343]) ).
tcf(c_384692,plain,
! [X0: $i] :
( defined(c,compose(domain(h),X0))
| ~ identity_map(h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355340]) ).
tcf(c_384693,plain,
! [X0: $i] :
( defined(c,compose(domain(g),X0))
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_367128]) ).
tcf(c_384694,plain,
! [X0: $i] :
( defined(b,compose(domain(g),X0))
| ~ identity_map(h)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366693]) ).
tcf(c_384695,plain,
! [X0: $i] :
( defined(h,compose(domain(g),X0))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366580]) ).
tcf(c_384696,plain,
! [X0: $i] :
( defined(d,compose(domain(g),X0))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366010]) ).
tcf(c_384697,plain,
! [X0: $i] :
( defined(b,compose(domain(g),X0))
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355344]) ).
tcf(c_384698,plain,
! [X0: $i] :
( defined(c,compose(domain(g),X0))
| ~ identity_map(g)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355341]) ).
tcf(c_384699,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,compose(domain(compose(X0,X1)),X2))
| ~ defined(X0,X1)
| ~ defined(domain(compose(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_384636,c_355220]) ).
tcf(c_384700,plain,
! [X0: $i] :
( ( codomain(compose(domain(a),X0)) = domain(a) )
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_384636,c_371102]) ).
tcf(c_384701,plain,
! [X0: $i] :
( ( compose(domain(a),X0) = domain(a) )
| ~ defined(domain(a),X0)
| ~ identity_map(compose(domain(a),X0)) ),
inference(superposition,[status(thm)],[c_384636,c_358206]) ).
tcf(c_384702,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(d)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357261]) ).
tcf(c_384703,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(d)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357248]) ).
tcf(c_384704,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(d)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357199]) ).
tcf(c_384705,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(d)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357148]) ).
tcf(c_384706,plain,
! [X0: $i] :
( defined(g,codomain(compose(domain(domain(d)),X0)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355917]) ).
tcf(c_384707,plain,
! [X0: $i] :
( defined(h,codomain(compose(domain(domain(d)),X0)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355524]) ).
tcf(c_384708,plain,
! [X0: $i] :
( defined(g,compose(domain(domain(d)),X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355449]) ).
tcf(c_384709,plain,
! [X0: $i] :
( defined(h,compose(domain(domain(d)),X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_355364]) ).
tcf(c_384710,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(c)),X0))
| ~ defined(b,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375699]) ).
tcf(c_384711,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(c)),X0))
| ~ defined(g,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_367214]) ).
tcf(c_384712,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(c)),X0))
| ~ defined(g,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366956]) ).
tcf(c_384713,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(c)),X0))
| ~ defined(h,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362509]) ).
tcf(c_384714,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(c)),X0))
| ~ defined(h,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362442]) ).
tcf(c_384715,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(c)),X0))
| ~ defined(d,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358506]) ).
tcf(c_384716,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(c)),X0))
| ~ defined(X1,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358340]) ).
tcf(c_384717,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(c)),X0))
| ~ defined(c,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357955]) ).
tcf(c_384718,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(c)),X0))
| ~ defined(d,d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_356796]) ).
tcf(c_384719,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(c)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362280]) ).
tcf(c_384720,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(c)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362129]) ).
tcf(c_384721,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(c)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360544]) ).
tcf(c_384722,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(d)),X0))
| ~ defined(b,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375741]) ).
tcf(c_384723,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(d)),X0))
| ~ defined(c,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375716]) ).
tcf(c_384724,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(d)),X0))
| ~ defined(g,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375256]) ).
tcf(c_384725,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(d)),X0))
| ~ defined(g,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375241]) ).
tcf(c_384726,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(d)),X0))
| ~ defined(h,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375224]) ).
tcf(c_384727,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(d)),X0))
| ~ defined(h,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375209]) ).
tcf(c_384728,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(d)),X0))
| ~ defined(d,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375192]) ).
tcf(c_384729,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(d)),X0))
| ~ defined(d,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375177]) ).
tcf(c_384730,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(d)),X0))
| ~ defined(X1,c)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_374786]) ).
tcf(c_384731,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(d)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_372302]) ).
tcf(c_384732,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(d)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_372287]) ).
tcf(c_384733,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(d)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_372264]) ).
tcf(c_384734,plain,
! [X0: $i] :
( defined(c,codomain(compose(domain(domain(b)),X0)))
| ~ defined(domain(domain(b)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_371875]) ).
tcf(c_384735,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(b)),X0))
| ~ defined(domain(domain(b)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_371889]) ).
tcf(c_384736,plain,
! [X0: $i] :
( defined(a,compose(domain(domain(b)),X0))
| ~ identity_map(b)
| ~ defined(domain(domain(b)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_356681]) ).
tcf(c_384737,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(h)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361396]) ).
tcf(c_384738,plain,
! [X0: $i] :
( defined(g,codomain(compose(domain(domain(h)),X0)))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361638]) ).
tcf(c_384739,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(h)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361385]) ).
tcf(c_384740,plain,
! [X0: $i] :
( defined(d,codomain(compose(domain(domain(h)),X0)))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361318]) ).
tcf(c_384741,plain,
! [X0: $i] :
( defined(g,compose(domain(domain(h)),X0))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361374]) ).
tcf(c_384742,plain,
! [X0: $i] :
( defined(d,compose(domain(domain(h)),X0))
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_361250]) ).
tcf(c_384743,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(h)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357187]) ).
tcf(c_384744,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(h)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357016]) ).
tcf(c_384745,plain,
! [X0: $i] :
( defined(h,codomain(compose(domain(domain(g)),X0)))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366581]) ).
tcf(c_384746,plain,
! [X0: $i] :
( defined(d,codomain(compose(domain(domain(g)),X0)))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366011]) ).
tcf(c_384747,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(g)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366174]) ).
tcf(c_384748,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(g)),X0))
| ~ identity_map(h)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366140]) ).
tcf(c_384749,plain,
! [X0: $i] :
( defined(h,compose(domain(domain(g)),X0))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366093]) ).
tcf(c_384750,plain,
! [X0: $i] :
( defined(d,compose(domain(domain(g)),X0))
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_365897]) ).
tcf(c_384751,plain,
! [X0: $i] :
( defined(b,compose(domain(domain(g)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357235]) ).
tcf(c_384752,plain,
! [X0: $i] :
( defined(c,compose(domain(domain(g)),X0))
| ~ identity_map(g)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357136]) ).
tcf(c_384753,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(a)),X0))
| ~ defined(b,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375685]) ).
tcf(c_384754,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(a)),X0))
| ~ defined(b,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_375672]) ).
tcf(c_384755,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(a)),X0))
| ~ defined(g,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_367199]) ).
tcf(c_384756,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(a)),X0))
| ~ defined(g,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_367184]) ).
tcf(c_384757,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(a)),X0))
| ~ defined(g,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366913]) ).
tcf(c_384758,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(a)),X0))
| ~ defined(g,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_366890]) ).
tcf(c_384759,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(a)),X0))
| ~ defined(h,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362494]) ).
tcf(c_384760,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(a)),X0))
| ~ defined(h,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362471]) ).
tcf(c_384761,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(a)),X0))
| ~ defined(h,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362419]) ).
tcf(c_384762,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(a)),X0))
| ~ defined(h,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362318]) ).
tcf(c_384763,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(a)),X0))
| ~ defined(d,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358483]) ).
tcf(c_384764,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(a)),X0))
| ~ defined(d,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358434]) ).
tcf(c_384765,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(a)),X0))
| ~ defined(X1,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358150]) ).
tcf(c_384766,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(a)),X0))
| ~ defined(X1,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_358050]) ).
tcf(c_384767,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(a)),X0))
| ~ defined(c,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357942]) ).
tcf(c_384768,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(a)),X0))
| ~ defined(c,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_357929]) ).
tcf(c_384769,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(a)),X0))
| ~ defined(d,c)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_356787]) ).
tcf(c_384770,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(a)),X0))
| ~ defined(d,d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_356743]) ).
tcf(c_384771,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(a)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362295]) ).
tcf(c_384772,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(a)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_362265]) ).
tcf(c_384773,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(a)),X0))
| ~ identity_map(d)
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360587]) ).
tcf(c_384774,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(domain(compose(d,X0)),X1))
| ~ product(g,X0,X2)
| ~ defined(domain(compose(d,X0)),X1) ),
inference(superposition,[status(thm)],[c_384636,c_359383]) ).
tcf(c_384775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X3)
| ~ product(g,X1,X0)
| ~ defined(domain(compose(d,X1)),X2)
| ~ product(X0,compose(domain(compose(d,X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_384636,c_359382]) ).
tcf(c_384790,plain,
! [X0: $i] :
( defined(b,compose(domain(b),X0))
| ~ defined(domain(b),X0) ),
inference(light_normalisation,[status(thm)],[c_384677,c_371446]) ).
tcf(c_384809,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(codomain(X0),X1))
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384663,c_357642]) ).
tcf(c_384812,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),compose(domain(X0),X1))
| ~ defined(domain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384662,c_357641]) ).
tcf(c_384871,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(compose(domain(X0),X1)))
| ~ defined(domain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384665,c_357641]) ).
tcf(c_385048,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(codomain(X0),X1))
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384675,c_357642]) ).
tcf(c_385052,plain,
! [X0: $i,X1: $i] :
( defined(b,compose(codomain(X0),X1))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384674,c_357642]) ).
tcf(c_385056,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(codomain(X0),X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384673,c_357642]) ).
tcf(c_385060,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(codomain(X0),X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384672,c_357642]) ).
tcf(c_385064,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(codomain(X0),X1))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384671,c_357642]) ).
tcf(c_385068,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(codomain(X0),X1))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384670,c_357642]) ).
tcf(c_385072,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(codomain(X0),X1))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384669,c_357642]) ).
tcf(c_385076,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(codomain(X0),X1))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384668,c_357642]) ).
tcf(c_385080,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(codomain(X0),X1))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_384667,c_357642]) ).
tcf(c_385656,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_383888,c_81]) ).
tcf(c_385660,plain,
defined(d,codomain(domain(d))),
inference(superposition,[status(thm)],[c_383888,c_366011]) ).
tcf(c_385667,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_385656,c_82]) ).
tcf(c_385700,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_383890,c_81]) ).
tcf(c_385711,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_385700,c_82]) ).
tcf(c_385715,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_383969,c_81]) ).
tcf(c_385717,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_385715,c_82]) ).
tcf(c_385720,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_383970,c_81]) ).
tcf(c_385721,plain,
( defined(domain(d),domain(d))
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_383970,c_355220]) ).
tcf(c_385722,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_385720,c_82]) ).
tcf(c_385729,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(a))
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383216,c_81]) ).
tcf(c_385731,plain,
( defined(b,domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383216,c_355217]) ).
tcf(c_385739,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(a))
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383220,c_81]) ).
tcf(c_385742,plain,
( defined(g,domain(a))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383220,c_361637]) ).
tcf(c_385744,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383220,c_355343]) ).
tcf(c_385745,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383220,c_355340]) ).
tcf(c_385759,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(a))
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383221,c_81]) ).
tcf(c_385771,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(a))
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383239,c_81]) ).
tcf(c_385774,plain,
( defined(h,domain(a))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383239,c_366580]) ).
tcf(c_385785,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(a))
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383240,c_81]) ).
tcf(c_385797,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(a))
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383249,c_81]) ).
tcf(c_385801,plain,
( defined(d,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383249,c_361317]) ).
tcf(c_385811,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(a))
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383250,c_81]) ).
tcf(c_385825,plain,
! [X0: $i] :
( product(d,g,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(d),c) ),
inference(superposition,[status(thm)],[c_357586,c_359388]) ).
tcf(c_385826,plain,
! [X0: $i] :
( product(d,g,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(h),c) ),
inference(superposition,[status(thm)],[c_360947,c_359388]) ).
tcf(c_385827,plain,
! [X0: $i] :
( product(d,g,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(g),c) ),
inference(superposition,[status(thm)],[c_365770,c_359388]) ).
tcf(c_385828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X3),X2)
| ~ product(g,X0,c)
| ~ product(d,X3,g)
| ~ product(c,d,X2)
| ~ product(compose(d,X0),c,X1) ),
inference(superposition,[status(thm)],[c_359388,c_358809]) ).
tcf(c_385829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,g,X4)
| ~ product(g,X1,c)
| ~ product(c,d,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359388,c_80]) ).
tcf(c_385830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(compose(d,X4),X3,X2)
| ~ product(g,X4,c)
| ~ product(c,d,X0)
| ~ product(g,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359388,c_77]) ).
tcf(c_385831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,g)
| ~ defined(X0,X3)
| ~ product(g,X1,c)
| ~ product(c,d,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359388,c_79]) ).
tcf(c_385832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ product(g,X0,c)
| ~ product(c,d,X2)
| ~ product(compose(d,X0),g,X1) ),
inference(superposition,[status(thm)],[c_359388,c_90]) ).
tcf(c_385833,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(d,X1))
| ~ defined(X2,X0)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359388,c_78]) ).
tcf(c_385834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(compose(d,X3),X1)
| ~ defined(X2,X0)
| ~ product(g,X3,c)
| ~ product(c,d,X2)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359388,c_76]) ).
tcf(c_385835,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X2)
| ~ defined(X0,X2)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359388,c_75]) ).
tcf(c_385836,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X1),g)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359388,c_74]) ).
tcf(c_385837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X1,X3)
| ~ product(g,X2,c)
| ~ product(c,d,X3)
| ~ product(g,X2,X0)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_359388,c_359378]) ).
tcf(c_385980,plain,
defined(domain(g),domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_385667]) ).
tcf(c_385982,plain,
! [X0: $i] :
( defined(domain(g),codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_385667]) ).
tcf(c_385984,plain,
( defined(domain(g),a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_378182,c_385667]) ).
tcf(c_385986,plain,
( defined(domain(g),a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377593,c_385667]) ).
tcf(c_385992,plain,
( defined(domain(g),d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_378181,c_385667]) ).
tcf(c_385994,plain,
( defined(domain(g),d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377592,c_385667]) ).
tcf(c_386003,plain,
( defined(domain(g),codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_385667]) ).
tcf(c_386004,plain,
( defined(domain(g),codomain(a))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_385667]) ).
tcf(c_386005,plain,
( defined(domain(g),codomain(c))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_385667]) ).
tcf(c_386006,plain,
( defined(domain(g),codomain(d))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_385667]) ).
tcf(c_386007,plain,
! [X0: $i] :
( defined(domain(g),domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_385667]) ).
tcf(c_386008,plain,
! [X0: $i] :
( defined(domain(g),compose(domain(domain(d)),X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_385667]) ).
tcf(c_386009,plain,
! [X0: $i] :
( defined(domain(g),domain(compose(d,X0)))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_385667]) ).
tcf(c_386090,plain,
defined(domain(h),domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_385711]) ).
tcf(c_386092,plain,
! [X0: $i] :
( defined(domain(h),codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_385711]) ).
tcf(c_386093,plain,
( defined(domain(h),a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_378215,c_385711]) ).
tcf(c_386095,plain,
( defined(domain(h),a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377910,c_385711]) ).
tcf(c_386101,plain,
( defined(domain(h),d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_378214,c_385711]) ).
tcf(c_386103,plain,
( defined(domain(h),d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_377909,c_385711]) ).
tcf(c_386113,plain,
( defined(domain(h),codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_385711]) ).
tcf(c_386114,plain,
( defined(domain(h),codomain(a))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_385711]) ).
tcf(c_386115,plain,
( defined(domain(h),codomain(c))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_385711]) ).
tcf(c_386116,plain,
( defined(domain(h),codomain(d))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_385711]) ).
tcf(c_386117,plain,
! [X0: $i] :
( defined(domain(h),domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_385711]) ).
tcf(c_386118,plain,
! [X0: $i] :
( defined(domain(h),compose(domain(domain(d)),X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_385711]) ).
tcf(c_386119,plain,
! [X0: $i] :
( defined(domain(h),domain(compose(d,X0)))
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_385711]) ).
tcf(c_386191,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(a))
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383251,c_81]) ).
tcf(c_386192,plain,
( defined(c,domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383251,c_374181]) ).
tcf(c_386193,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383251,c_358219]) ).
tcf(c_386197,plain,
( ( domain(a) = domain(b) )
| ~ defined(c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_386193,c_82]) ).
tcf(c_386205,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(a))
| ~ defined(X1,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_383255,c_81]) ).
tcf(c_386206,plain,
! [X0: $i] :
( defined(X0,codomain(domain(a)))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_355774]) ).
tcf(c_386207,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_355370]) ).
tcf(c_386208,plain,
! [X0: $i] :
( defined(c,domain(a))
| ~ defined(b,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_375534]) ).
tcf(c_386209,plain,
! [X0: $i] :
( defined(h,domain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_366978]) ).
tcf(c_386210,plain,
! [X0: $i] :
( defined(d,domain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_366845]) ).
tcf(c_386211,plain,
! [X0: $i] :
( defined(g,domain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_362459]) ).
tcf(c_386212,plain,
! [X0: $i] :
( defined(d,domain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_361818]) ).
tcf(c_386213,plain,
! [X0: $i] :
( defined(h,domain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_356115]) ).
tcf(c_386214,plain,
! [X0: $i] :
( defined(g,domain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_356106]) ).
tcf(c_386215,plain,
! [X0: $i] :
( defined(b,domain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_356097]) ).
tcf(c_386216,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_355510]) ).
tcf(c_386220,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383255,c_358219]) ).
tcf(c_386240,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),b) ),
inference(superposition,[status(thm)],[c_383255,c_355220]) ).
tcf(c_386241,plain,
( ( codomain(domain(a)) = domain(a) )
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_383255,c_371102]) ).
tcf(c_386243,plain,
( defined(domain(h),domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_385711]) ).
tcf(c_386244,plain,
( defined(domain(g),domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_385667]) ).
tcf(c_386245,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_357261]) ).
tcf(c_386246,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_357248]) ).
tcf(c_386247,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_357199]) ).
tcf(c_386248,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_357148]) ).
tcf(c_386249,plain,
( defined(g,codomain(domain(a)))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_355917]) ).
tcf(c_386250,plain,
( defined(h,codomain(domain(a)))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_355524]) ).
tcf(c_386251,plain,
( defined(g,domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_355449]) ).
tcf(c_386252,plain,
( defined(h,domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_355364]) ).
tcf(c_386253,plain,
( defined(c,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_375699]) ).
tcf(c_386254,plain,
( defined(h,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_367214]) ).
tcf(c_386255,plain,
( defined(d,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_366956]) ).
tcf(c_386256,plain,
( defined(g,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_362509]) ).
tcf(c_386257,plain,
( defined(d,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_362442]) ).
tcf(c_386258,plain,
( defined(g,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_358506]) ).
tcf(c_386259,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_358340]) ).
tcf(c_386260,plain,
( defined(b,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_357955]) ).
tcf(c_386261,plain,
( defined(h,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_356796]) ).
tcf(c_386262,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_362280]) ).
tcf(c_386263,plain,
( defined(h,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_362129]) ).
tcf(c_386264,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_360544]) ).
tcf(c_386265,plain,
( defined(c,domain(a))
| ~ defined(b,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375741]) ).
tcf(c_386266,plain,
( defined(b,domain(a))
| ~ defined(c,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375716]) ).
tcf(c_386267,plain,
( defined(d,domain(a))
| ~ defined(g,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375256]) ).
tcf(c_386268,plain,
( defined(h,domain(a))
| ~ defined(g,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375241]) ).
tcf(c_386269,plain,
( defined(d,domain(a))
| ~ defined(h,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375224]) ).
tcf(c_386270,plain,
( defined(g,domain(a))
| ~ defined(h,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375209]) ).
tcf(c_386271,plain,
( defined(h,domain(a))
| ~ defined(d,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375192]) ).
tcf(c_386272,plain,
( defined(g,domain(a))
| ~ defined(d,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_375177]) ).
tcf(c_386273,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,c)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_374786]) ).
tcf(c_386274,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_372302]) ).
tcf(c_386275,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_372287]) ).
tcf(c_386276,plain,
( defined(h,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_372264]) ).
tcf(c_386277,plain,
( defined(c,codomain(domain(a)))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_383255,c_371875]) ).
tcf(c_386278,plain,
( defined(c,domain(a))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_383255,c_371889]) ).
tcf(c_386279,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_383255,c_356681]) ).
tcf(c_386280,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361396]) ).
tcf(c_386281,plain,
( defined(g,codomain(domain(a)))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361638]) ).
tcf(c_386282,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361385]) ).
tcf(c_386283,plain,
( defined(d,codomain(domain(a)))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361318]) ).
tcf(c_386284,plain,
( defined(g,domain(a))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361374]) ).
tcf(c_386285,plain,
( defined(d,domain(a))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_361250]) ).
tcf(c_386286,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_357187]) ).
tcf(c_386287,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_357016]) ).
tcf(c_386288,plain,
( defined(h,codomain(domain(a)))
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_366581]) ).
tcf(c_386289,plain,
( defined(d,codomain(domain(a)))
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_366011]) ).
tcf(c_386290,plain,
( defined(c,domain(a))
| ~ identity_map(h)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_366174]) ).
tcf(c_386291,plain,
( defined(b,domain(a))
| ~ identity_map(h)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_366140]) ).
tcf(c_386292,plain,
( defined(h,domain(a))
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_366093]) ).
tcf(c_386293,plain,
( defined(d,domain(a))
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_365897]) ).
tcf(c_386294,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_357235]) ).
tcf(c_386295,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_357136]) ).
tcf(c_386296,plain,
( defined(c,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_375685]) ).
tcf(c_386297,plain,
( defined(c,domain(a))
| ~ defined(b,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_375672]) ).
tcf(c_386298,plain,
( defined(h,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_367199]) ).
tcf(c_386299,plain,
( defined(h,domain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_367184]) ).
tcf(c_386300,plain,
( defined(d,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_366913]) ).
tcf(c_386301,plain,
( defined(d,domain(a))
| ~ defined(g,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_366890]) ).
tcf(c_386302,plain,
( defined(g,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362494]) ).
tcf(c_386303,plain,
( defined(g,domain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362471]) ).
tcf(c_386304,plain,
( defined(d,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362419]) ).
tcf(c_386305,plain,
( defined(d,domain(a))
| ~ defined(h,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362318]) ).
tcf(c_386306,plain,
( defined(g,domain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_358483]) ).
tcf(c_386307,plain,
( defined(g,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_358434]) ).
tcf(c_386308,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_358150]) ).
tcf(c_386309,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_358050]) ).
tcf(c_386310,plain,
( defined(b,domain(a))
| ~ defined(c,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_357942]) ).
tcf(c_386311,plain,
( defined(b,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_357929]) ).
tcf(c_386312,plain,
( defined(h,domain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_356787]) ).
tcf(c_386313,plain,
( defined(h,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_356743]) ).
tcf(c_386314,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362295]) ).
tcf(c_386315,plain,
( defined(h,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_362265]) ).
tcf(c_386316,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_360587]) ).
tcf(c_386317,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),b) ),
inference(superposition,[status(thm)],[c_383255,c_359383]) ).
tcf(c_386318,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),b)
| ~ product(X0,domain(a),X1) ),
inference(superposition,[status(thm)],[c_383255,c_359382]) ).
tcf(c_386556,plain,
( ( domain(a) = domain(b) )
| ~ defined(b,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_386220,c_82]) ).
tcf(c_387020,plain,
! [X0: $i] :
( product(d,h,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(d),c) ),
inference(superposition,[status(thm)],[c_357586,c_359389]) ).
tcf(c_387021,plain,
! [X0: $i] :
( product(d,h,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(h),c) ),
inference(superposition,[status(thm)],[c_360947,c_359389]) ).
tcf(c_387022,plain,
! [X0: $i] :
( product(d,h,X0)
| ~ product(c,d,X0)
| ~ product(g,domain(g),c) ),
inference(superposition,[status(thm)],[c_365770,c_359389]) ).
tcf(c_387023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(h,X3),X2)
| ~ product(g,X0,c)
| ~ product(d,X3,h)
| ~ product(c,d,X2)
| ~ product(compose(d,X0),c,X1) ),
inference(superposition,[status(thm)],[c_359389,c_358809]) ).
tcf(c_387024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,h,X4)
| ~ product(g,X1,c)
| ~ product(c,d,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359389,c_80]) ).
tcf(c_387025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(compose(d,X4),X3,X2)
| ~ product(g,X4,c)
| ~ product(c,d,X0)
| ~ product(h,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359389,c_77]) ).
tcf(c_387026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,h)
| ~ defined(X0,X3)
| ~ product(g,X1,c)
| ~ product(c,d,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_359389,c_79]) ).
tcf(c_387027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ product(g,X0,c)
| ~ product(c,d,X2)
| ~ product(compose(d,X0),h,X1) ),
inference(superposition,[status(thm)],[c_359389,c_90]) ).
tcf(c_387029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(compose(d,X3),X1)
| ~ defined(X2,X0)
| ~ product(g,X3,c)
| ~ product(c,d,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359389,c_76]) ).
tcf(c_387030,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ defined(X0,X2)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359389,c_75]) ).
tcf(c_387031,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X1),h)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359389,c_74]) ).
tcf(c_387032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X1,X3)
| ~ product(g,X2,c)
| ~ product(c,d,X3)
| ~ product(g,X2,X0)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_359389,c_359378]) ).
tcf(c_387095,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),X1)
| ~ identity_map(X0)
| ~ defined(X0,X1)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_385717,c_81]) ).
tcf(c_387096,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(g,domain(h))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_385717,c_355220]) ).
tcf(c_387097,plain,
( defined(compose(g,domain(h)),h)
| ~ identity_map(c)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385717,c_371027]) ).
tcf(c_387098,plain,
( defined(compose(g,domain(h)),g)
| ~ identity_map(c)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385717,c_370988]) ).
tcf(c_387099,plain,
( defined(compose(g,domain(h)),d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385717,c_370040]) ).
tcf(c_387100,plain,
( defined(compose(g,domain(h)),a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385717,c_355308]) ).
tcf(c_387101,plain,
( defined(compose(g,domain(h)),g)
| ~ identity_map(c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385717,c_363910]) ).
tcf(c_387102,plain,
( defined(compose(g,domain(h)),h)
| ~ identity_map(c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385717,c_363909]) ).
tcf(c_387103,plain,
( defined(compose(g,domain(h)),a)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385717,c_356224]) ).
tcf(c_387104,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385717,c_355309]) ).
tcf(c_387105,plain,
( defined(domain(compose(g,domain(h))),c)
| ~ defined(domain(d),codomain(c)) ),
inference(superposition,[status(thm)],[c_385717,c_370608]) ).
tcf(c_387106,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(domain(d),codomain(c)) ),
inference(superposition,[status(thm)],[c_385717,c_370601]) ).
tcf(c_387107,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),c)
| ~ product(g,X0,X1)
| ~ defined(domain(d),compose(d,X0)) ),
inference(superposition,[status(thm)],[c_385717,c_359381]) ).
tcf(c_387108,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(domain(d),compose(d,X1))
| ~ product(compose(g,domain(h)),c,X0) ),
inference(superposition,[status(thm)],[c_385717,c_359379]) ).
tcf(c_387206,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),X1)
| ~ identity_map(X0)
| ~ defined(X0,X1)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_385722,c_81]) ).
tcf(c_387208,plain,
( defined(compose(g,domain(d)),h)
| ~ identity_map(c)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385722,c_371027]) ).
tcf(c_387209,plain,
( defined(compose(g,domain(d)),g)
| ~ identity_map(c)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385722,c_370988]) ).
tcf(c_387210,plain,
( defined(compose(g,domain(d)),d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385722,c_370040]) ).
tcf(c_387211,plain,
( defined(compose(g,domain(d)),a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_385722,c_355308]) ).
tcf(c_387212,plain,
( defined(compose(g,domain(d)),g)
| ~ identity_map(c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385722,c_363910]) ).
tcf(c_387213,plain,
( defined(compose(g,domain(d)),h)
| ~ identity_map(c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385722,c_363909]) ).
tcf(c_387214,plain,
( defined(compose(g,domain(d)),a)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385722,c_356224]) ).
tcf(c_387215,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_385722,c_355309]) ).
tcf(c_387216,plain,
( defined(domain(compose(g,domain(d))),c)
| ~ defined(domain(d),codomain(c)) ),
inference(superposition,[status(thm)],[c_385722,c_370608]) ).
tcf(c_387217,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(domain(d),codomain(c)) ),
inference(superposition,[status(thm)],[c_385722,c_370601]) ).
tcf(c_387218,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),c)
| ~ product(g,X0,X1)
| ~ defined(domain(d),compose(d,X0)) ),
inference(superposition,[status(thm)],[c_385722,c_359381]) ).
tcf(c_387219,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ product(g,X1,X2)
| ~ defined(domain(d),compose(d,X1))
| ~ product(compose(g,domain(d)),c,X0) ),
inference(superposition,[status(thm)],[c_385722,c_359379]) ).
tcf(c_387400,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_355270,c_74,c_768]) ).
tcf(c_387406,plain,
defined(codomain(a),c),
inference(superposition,[status(thm)],[c_93,c_387400]) ).
tcf(c_387409,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(X0,X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_387400]) ).
tcf(c_387411,plain,
! [X0: $i] : defined(codomain(codomain(X0)),X0),
inference(superposition,[status(thm)],[c_87,c_387400]) ).
tcf(c_387414,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359273,c_387400]) ).
tcf(c_387416,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_387400]) ).
tcf(c_387417,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),compose(d,X0))
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_387400]) ).
tcf(c_387418,plain,
! [X0: $i] : defined(codomain(domain(X0)),domain(X0)),
inference(superposition,[status(thm)],[c_357696,c_387400]) ).
tcf(c_387419,plain,
! [X0: $i] : defined(codomain(codomain(X0)),codomain(X0)),
inference(superposition,[status(thm)],[c_357726,c_387400]) ).
tcf(c_387420,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,c)),X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_387400]) ).
tcf(c_387422,plain,
( defined(codomain(c),domain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361164,c_387400]) ).
tcf(c_387423,plain,
! [X0: $i] :
( defined(codomain(c),compose(d,X0))
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_387400]) ).
tcf(c_387426,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359039,c_387400]) ).
tcf(c_387428,plain,
! [X0: $i] :
( defined(codomain(c),compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359271,c_387400]) ).
tcf(c_387429,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(d,X1)),X0)
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359388,c_387400]) ).
tcf(c_387431,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370341,c_387400]) ).
tcf(c_387433,plain,
( defined(codomain(c),domain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_359503,c_387400]) ).
tcf(c_387435,plain,
defined(codomain(codomain(c)),d),
inference(superposition,[status(thm)],[c_369995,c_387400]) ).
tcf(c_387436,plain,
( defined(codomain(codomain(d)),d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_362335,c_387400]) ).
tcf(c_387438,plain,
defined(codomain(domain(a)),b),
inference(superposition,[status(thm)],[c_383252,c_387400]) ).
tcf(c_387485,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387406,c_81]) ).
tcf(c_387486,plain,
( defined(c,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387406,c_375534]) ).
tcf(c_387487,plain,
( defined(h,c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387406,c_366978]) ).
tcf(c_387488,plain,
( defined(d,c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387406,c_366845]) ).
tcf(c_387489,plain,
( defined(g,c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387406,c_362459]) ).
tcf(c_387490,plain,
( defined(d,c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387406,c_361818]) ).
tcf(c_387491,plain,
( defined(h,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387406,c_356115]) ).
tcf(c_387492,plain,
( defined(g,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387406,c_356106]) ).
tcf(c_387493,plain,
( defined(b,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387406,c_356097]) ).
tcf(c_387494,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387406,c_355510]) ).
tcf(c_387495,plain,
( defined(codomain(a),h)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_387406,c_371027]) ).
tcf(c_387496,plain,
( defined(codomain(a),g)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_387406,c_370988]) ).
tcf(c_387497,plain,
defined(codomain(a),d),
inference(superposition,[status(thm)],[c_387406,c_370040]) ).
tcf(c_387498,plain,
defined(codomain(a),a),
inference(superposition,[status(thm)],[c_387406,c_355308]) ).
tcf(c_387577,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387497,c_81]) ).
tcf(c_387578,plain,
( defined(c,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387497,c_375534]) ).
tcf(c_387579,plain,
( defined(h,d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387497,c_366978]) ).
tcf(c_387580,plain,
( defined(d,d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387497,c_366845]) ).
tcf(c_387581,plain,
( defined(g,d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387497,c_362459]) ).
tcf(c_387582,plain,
( defined(d,d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387497,c_361818]) ).
tcf(c_387583,plain,
( defined(h,d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387497,c_356115]) ).
tcf(c_387584,plain,
( defined(g,d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387497,c_356106]) ).
tcf(c_387585,plain,
( defined(b,d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387497,c_356097]) ).
tcf(c_387586,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387497,c_355510]) ).
tcf(c_387722,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_355221,c_387494]) ).
tcf(c_387723,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_355338,c_387494]) ).
tcf(c_387739,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_370036,c_387494]) ).
tcf(c_387740,plain,
( defined(codomain(c),c)
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_355458,c_387494]) ).
tcf(c_387746,plain,
( defined(domain(b),c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_371890,c_387494]) ).
tcf(c_387749,plain,
( defined(domain(h),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_361214,c_387494]) ).
tcf(c_387755,plain,
( defined(domain(g),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_365812,c_387494]) ).
tcf(c_387762,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_359294,c_387494]) ).
tcf(c_387763,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_385722,c_387494]) ).
tcf(c_387764,plain,
( defined(compose(g,domain(d)),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_358670,c_387494]) ).
tcf(c_387768,plain,
( defined(compose(h,domain(d)),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_367826,c_387494]) ).
tcf(c_387772,plain,
( defined(compose(h,domain(g)),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_367830,c_387494]) ).
tcf(c_387776,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_385717,c_387494]) ).
tcf(c_387777,plain,
( defined(compose(g,domain(h)),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_363062,c_387494]) ).
tcf(c_387905,plain,
( defined(d,g)
| ~ defined(c,d)
| ~ product(g,domain(d),c) ),
inference(superposition,[status(thm)],[c_357586,c_359390]) ).
tcf(c_387906,plain,
( defined(d,g)
| ~ defined(c,d)
| ~ product(g,domain(h),c) ),
inference(superposition,[status(thm)],[c_360947,c_359390]) ).
tcf(c_387907,plain,
( defined(d,g)
| ~ defined(c,d)
| ~ product(g,domain(g),c) ),
inference(superposition,[status(thm)],[c_365770,c_359390]) ).
tcf(c_387908,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X0),X1)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(g,X1)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359390,c_81]) ).
tcf(c_387909,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(c,d)
| ~ defined(d,X0)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359390,c_355220]) ).
tcf(c_387910,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(c,d)
| ~ product(g,X0,c)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359390,c_359383]) ).
tcf(c_387911,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ defined(c,d)
| ~ product(g,X2,c)
| ~ product(g,X2,X0)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_359390,c_359382]) ).
tcf(c_387947,plain,
! [X0: $i] :
( defined(domain(a),compose(b,X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_383075,c_387409]) ).
tcf(c_387949,plain,
! [X0: $i] :
( defined(codomain(codomain(X0)),X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_357831,c_387409]) ).
tcf(c_387953,plain,
! [X0: $i] :
( defined(codomain(domain(X0)),domain(X0))
| ~ defined(domain(X0),domain(X0)) ),
inference(superposition,[status(thm)],[c_357686,c_387409]) ).
tcf(c_387954,plain,
! [X0: $i] :
( defined(codomain(codomain(X0)),codomain(X0))
| ~ defined(codomain(X0),codomain(X0)) ),
inference(superposition,[status(thm)],[c_357716,c_387409]) ).
tcf(c_387955,plain,
( defined(codomain(d),d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_360947,c_387409]) ).
tcf(c_387956,plain,
( defined(codomain(codomain(c)),d)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_368222,c_387409]) ).
tcf(c_387957,plain,
( defined(codomain(c),c)
| ~ defined(c,domain(b)) ),
inference(superposition,[status(thm)],[c_371881,c_387409]) ).
tcf(c_387958,plain,
( defined(codomain(domain(a)),b)
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_383244,c_387409]) ).
tcf(c_387960,plain,
( defined(codomain(d),d)
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_365770,c_387409]) ).
tcf(c_387962,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ defined(X0,X1)
| ~ identity_map(compose(X0,X1))
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_387409,c_81]) ).
tcf(c_387963,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(X0,X1))
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_375534]) ).
tcf(c_387964,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(X0,X1))
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_366978]) ).
tcf(c_387965,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(X0,X1))
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_366845]) ).
tcf(c_387966,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(X0,X1))
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_362459]) ).
tcf(c_387967,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(X0,X1))
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_361818]) ).
tcf(c_387968,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(X0,X1))
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_356115]) ).
tcf(c_387969,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(X0,X1))
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_356106]) ).
tcf(c_387970,plain,
! [X0: $i,X1: $i] :
( defined(b,compose(X0,X1))
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_356097]) ).
tcf(c_387971,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(X0,X1))
| ~ defined(X2,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387409,c_355510]) ).
tcf(c_387972,plain,
! [X0: $i] :
( defined(c,compose(c,X0))
| ~ defined(b,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375699]) ).
tcf(c_387973,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_367214]) ).
tcf(c_387974,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ defined(g,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_366956]) ).
tcf(c_387975,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362509]) ).
tcf(c_387976,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ defined(h,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362442]) ).
tcf(c_387977,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_358506]) ).
tcf(c_387978,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(c,X1))
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_387409,c_358340]) ).
tcf(c_387979,plain,
! [X0: $i] :
( defined(b,compose(c,X0))
| ~ defined(c,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_357955]) ).
tcf(c_387980,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_356796]) ).
tcf(c_387981,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362280]) ).
tcf(c_387982,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362129]) ).
tcf(c_387983,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_360544]) ).
tcf(c_387984,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375741]) ).
tcf(c_387985,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375716]) ).
tcf(c_387986,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375256]) ).
tcf(c_387987,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375241]) ).
tcf(c_387988,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375224]) ).
tcf(c_387989,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375209]) ).
tcf(c_387990,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375192]) ).
tcf(c_387991,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(d,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375177]) ).
tcf(c_387992,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_387409,c_374786]) ).
tcf(c_387993,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_372302]) ).
tcf(c_387994,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_372287]) ).
tcf(c_387995,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_372264]) ).
tcf(c_387996,plain,
! [X0: $i] :
( defined(c,compose(a,X0))
| ~ defined(b,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375685]) ).
tcf(c_387997,plain,
! [X0: $i] :
( defined(c,compose(a,X0))
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_375672]) ).
tcf(c_387998,plain,
! [X0: $i] :
( defined(h,compose(a,X0))
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_367199]) ).
tcf(c_387999,plain,
! [X0: $i] :
( defined(h,compose(a,X0))
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_367184]) ).
tcf(c_388000,plain,
! [X0: $i] :
( defined(d,compose(a,X0))
| ~ defined(g,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_366913]) ).
tcf(c_388001,plain,
! [X0: $i] :
( defined(d,compose(a,X0))
| ~ defined(g,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_366890]) ).
tcf(c_388002,plain,
! [X0: $i] :
( defined(g,compose(a,X0))
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362494]) ).
tcf(c_388003,plain,
! [X0: $i] :
( defined(g,compose(a,X0))
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362471]) ).
tcf(c_388004,plain,
! [X0: $i] :
( defined(d,compose(a,X0))
| ~ defined(h,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362419]) ).
tcf(c_388005,plain,
! [X0: $i] :
( defined(d,compose(a,X0))
| ~ defined(h,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362318]) ).
tcf(c_388006,plain,
! [X0: $i] :
( defined(g,compose(a,X0))
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_358483]) ).
tcf(c_388007,plain,
! [X0: $i] :
( defined(g,compose(a,X0))
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_358434]) ).
tcf(c_388008,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(a,X1))
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_387409,c_358150]) ).
tcf(c_388009,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(a,X1))
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_387409,c_358050]) ).
tcf(c_388010,plain,
! [X0: $i] :
( defined(b,compose(a,X0))
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_357942]) ).
tcf(c_388011,plain,
! [X0: $i] :
( defined(b,compose(a,X0))
| ~ defined(c,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_357929]) ).
tcf(c_388012,plain,
! [X0: $i] :
( defined(h,compose(a,X0))
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_356787]) ).
tcf(c_388013,plain,
! [X0: $i] :
( defined(h,compose(a,X0))
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_356743]) ).
tcf(c_388014,plain,
! [X0: $i] :
( defined(d,compose(a,X0))
| ~ identity_map(d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362295]) ).
tcf(c_388015,plain,
! [X0: $i] :
( defined(h,compose(a,X0))
| ~ identity_map(d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_362265]) ).
tcf(c_388016,plain,
! [X0: $i] :
( defined(g,compose(a,X0))
| ~ identity_map(d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_360587]) ).
tcf(c_388018,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ product(g,X1,X2)
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_359379]) ).
tcf(c_388402,plain,
! [X0: $i,X1: $i] :
( defined(codomain(a),X1)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387485,c_81]) ).
tcf(c_388404,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_366978]) ).
tcf(c_388405,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_366845]) ).
tcf(c_388406,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_362459]) ).
tcf(c_388407,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_361818]) ).
tcf(c_388408,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_356115]) ).
tcf(c_388409,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_356106]) ).
tcf(c_388410,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(c)
| ~ defined(c,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_356097]) ).
tcf(c_388411,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387485,c_355510]) ).
tcf(c_388415,plain,
( defined(codomain(a),a)
| ~ identity_map(c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_387485,c_355308]) ).
tcf(c_388419,plain,
( defined(codomain(a),a)
| ~ identity_map(c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_387485,c_356224]) ).
tcf(c_388442,plain,
( defined(domain(codomain(a)),c)
| ~ identity_map(c)
| ~ defined(c,codomain(c)) ),
inference(superposition,[status(thm)],[c_387485,c_370608]) ).
tcf(c_388445,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(c)
| ~ product(g,X1,X2)
| ~ defined(c,compose(d,X1))
| ~ product(codomain(a),c,X0) ),
inference(superposition,[status(thm)],[c_387485,c_359379]) ).
tcf(c_388666,plain,
! [X0: $i,X1: $i] :
( defined(codomain(a),X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_387577,c_81]) ).
tcf(c_388667,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_375534]) ).
tcf(c_388668,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_366978]) ).
tcf(c_388670,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_362459]) ).
tcf(c_388672,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_356115]) ).
tcf(c_388673,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_356106]) ).
tcf(c_388674,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387577,c_356097]) ).
tcf(c_388675,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387577,c_355510]) ).
tcf(c_388676,plain,
( defined(codomain(a),h)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_387577,c_371027]) ).
tcf(c_388677,plain,
( defined(codomain(a),g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_387577,c_370988]) ).
tcf(c_388679,plain,
( defined(codomain(a),a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_387577,c_355308]) ).
tcf(c_388681,plain,
( defined(codomain(a),g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_387577,c_363910]) ).
tcf(c_388682,plain,
( defined(codomain(a),h)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_387577,c_363909]) ).
tcf(c_388683,plain,
( defined(codomain(a),a)
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_387577,c_356224]) ).
tcf(c_388706,plain,
( defined(domain(codomain(a)),c)
| ~ identity_map(d)
| ~ defined(d,codomain(c)) ),
inference(superposition,[status(thm)],[c_387577,c_370608]) ).
tcf(c_388709,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(d)
| ~ product(g,X1,X2)
| ~ defined(d,compose(d,X1))
| ~ product(codomain(a),c,X0) ),
inference(superposition,[status(thm)],[c_387577,c_359379]) ).
tcf(c_388776,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,X1)),X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_355311]) ).
tcf(c_388777,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X1)
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_355221,c_355311]) ).
tcf(c_388778,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(X0)
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_355338,c_355311]) ).
tcf(c_388779,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_370036,c_355311]) ).
tcf(c_388780,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X0)
| ~ identity_map(a)
| ~ defined(X0,X1)
| ~ defined(a,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_355458,c_355311]) ).
tcf(c_388781,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X0)
| ~ identity_map(a)
| ~ defined(X0,X1)
| ~ defined(a,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_355477,c_355311]) ).
tcf(c_388782,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X0)
| ~ identity_map(c)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_355472,c_355311]) ).
tcf(c_388786,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X0)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_371890,c_355311]) ).
tcf(c_388787,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_361214,c_355311]) ).
tcf(c_388788,plain,
! [X0: $i,X1: $i] :
( defined(domain(g),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_365812,c_355311]) ).
tcf(c_388789,plain,
! [X0: $i,X1: $i] :
( defined(codomain(a),X0)
| ~ identity_map(d)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_387577,c_355311]) ).
tcf(c_388790,plain,
! [X0: $i,X1: $i] :
( defined(codomain(a),X0)
| ~ identity_map(c)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_387485,c_355311]) ).
tcf(c_388791,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(X0,X1)
| ~ defined(domain(d),compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_385722,c_355311]) ).
tcf(c_388792,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_358670,c_355311]) ).
tcf(c_388797,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(d)),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_367826,c_355311]) ).
tcf(c_388806,plain,
! [X0: $i,X1: $i] :
( defined(compose(h,domain(g)),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_367830,c_355311]) ).
tcf(c_388809,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(X0,X1)
| ~ defined(domain(d),compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_385717,c_355311]) ).
tcf(c_388810,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_363062,c_355311]) ).
tcf(c_388816,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_357831,c_355311]) ).
tcf(c_388817,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(c,h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_356143,c_355311]) ).
tcf(c_388818,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(c,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_356183,c_355311]) ).
tcf(c_388819,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(a,b)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_355943,c_355311]) ).
tcf(c_388923,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_387495,c_81]) ).
tcf(c_388925,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387495,c_366978]) ).
tcf(c_388926,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387495,c_366845]) ).
tcf(c_388927,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387495,c_362459]) ).
tcf(c_388928,plain,
( defined(d,h)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387495,c_361818]) ).
tcf(c_388929,plain,
( defined(h,h)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387495,c_356115]) ).
tcf(c_388930,plain,
( defined(g,h)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387495,c_356106]) ).
tcf(c_388932,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387495,c_355510]) ).
tcf(c_389008,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_387496,c_81]) ).
tcf(c_389010,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387496,c_366978]) ).
tcf(c_389011,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387496,c_366845]) ).
tcf(c_389012,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387496,c_362459]) ).
tcf(c_389013,plain,
( defined(d,g)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387496,c_361818]) ).
tcf(c_389014,plain,
( defined(h,g)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387496,c_356115]) ).
tcf(c_389015,plain,
( defined(g,g)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387496,c_356106]) ).
tcf(c_389017,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387496,c_355510]) ).
tcf(c_389126,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_355221,c_387586]) ).
tcf(c_389127,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_355338,c_387586]) ).
tcf(c_389145,plain,
( defined(codomain(d),d)
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_355477,c_387586]) ).
tcf(c_389146,plain,
( defined(codomain(d),d)
| ~ identity_map(c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_355472,c_387586]) ).
tcf(c_389150,plain,
( defined(domain(b),d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_371890,c_387586]) ).
tcf(c_389153,plain,
( defined(domain(h),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_361214,c_387586]) ).
tcf(c_389159,plain,
( defined(domain(g),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_365812,c_387586]) ).
tcf(c_389169,plain,
( defined(compose(g,domain(d)),d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_385722,c_387586]) ).
tcf(c_389170,plain,
( defined(compose(g,domain(d)),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_358670,c_387586]) ).
tcf(c_389174,plain,
( defined(compose(h,domain(d)),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_367826,c_387586]) ).
tcf(c_389178,plain,
( defined(compose(h,domain(g)),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_367830,c_387586]) ).
tcf(c_389182,plain,
( defined(compose(g,domain(h)),d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_385717,c_387586]) ).
tcf(c_389183,plain,
( defined(compose(g,domain(h)),d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_363062,c_387586]) ).
tcf(c_389256,plain,
( defined(d,h)
| ~ defined(c,d)
| ~ product(g,domain(d),c) ),
inference(superposition,[status(thm)],[c_357586,c_359391]) ).
tcf(c_389257,plain,
( defined(d,h)
| ~ defined(c,d)
| ~ product(g,domain(h),c) ),
inference(superposition,[status(thm)],[c_360947,c_359391]) ).
tcf(c_389258,plain,
( defined(d,h)
| ~ defined(c,d)
| ~ product(g,domain(g),c) ),
inference(superposition,[status(thm)],[c_365770,c_359391]) ).
tcf(c_389259,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X0),X1)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(h,X1)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359391,c_81]) ).
tcf(c_389260,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(c,d)
| ~ defined(d,X0)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359391,c_355220]) ).
tcf(c_389261,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(c,d)
| ~ product(g,X0,c)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359391,c_359383]) ).
tcf(c_389262,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ defined(c,d)
| ~ product(g,X2,c)
| ~ product(g,X2,X0)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_359391,c_359382]) ).
tcf(c_389304,plain,
( defined(codomain(d),codomain(c))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_368222,c_388776]) ).
tcf(c_389306,plain,
( defined(codomain(b),domain(a))
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_383244,c_388776]) ).
tcf(c_389310,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(compose(X0,X1)),X2)
| ~ identity_map(X0)
| ~ defined(X0,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_388776,c_81]) ).
tcf(c_389311,plain,
! [X0: $i,X1: $i] :
( defined(c,X0)
| ~ defined(X0,X1)
| ~ defined(b,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_375534]) ).
tcf(c_389312,plain,
! [X0: $i,X1: $i] :
( defined(h,X0)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_366978]) ).
tcf(c_389313,plain,
! [X0: $i,X1: $i] :
( defined(d,X0)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_366845]) ).
tcf(c_389314,plain,
! [X0: $i,X1: $i] :
( defined(g,X0)
| ~ defined(X0,X1)
| ~ defined(h,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_362459]) ).
tcf(c_389315,plain,
! [X0: $i,X1: $i] :
( defined(d,X0)
| ~ defined(X0,X1)
| ~ defined(h,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_361818]) ).
tcf(c_389316,plain,
! [X0: $i,X1: $i] :
( defined(h,X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_356115]) ).
tcf(c_389317,plain,
! [X0: $i,X1: $i] :
( defined(g,X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_356106]) ).
tcf(c_389318,plain,
! [X0: $i,X1: $i] :
( defined(b,X0)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_388776,c_356097]) ).
tcf(c_389320,plain,
! [X0: $i] :
( defined(codomain(compose(c,X0)),h)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_388776,c_371027]) ).
tcf(c_389321,plain,
! [X0: $i] :
( defined(codomain(compose(c,X0)),g)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_388776,c_370988]) ).
tcf(c_389322,plain,
! [X0: $i] :
( defined(codomain(compose(c,X0)),d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_388776,c_370040]) ).
tcf(c_389323,plain,
! [X0: $i] :
( defined(codomain(compose(c,X0)),a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_388776,c_355308]) ).
tcf(c_389324,plain,
! [X0: $i] :
( defined(codomain(compose(a,X0)),d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_388776,c_387586]) ).
tcf(c_389325,plain,
! [X0: $i] :
( defined(codomain(compose(a,X0)),c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_388776,c_387494]) ).
tcf(c_389326,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),g)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_388776,c_363910]) ).
tcf(c_389327,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),h)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_388776,c_363909]) ).
tcf(c_389328,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_388776,c_356224]) ).
tcf(c_389329,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_388776,c_355309]) ).
tcf(c_389330,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(compose(compose(X0,X1),X2)),X0)
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_388776,c_355311]) ).
tcf(c_389331,plain,
! [X0: $i] :
( defined(domain(codomain(compose(codomain(c),X0))),c)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_388776,c_370608]) ).
tcf(c_389332,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(c),X0)),c)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_388776,c_370601]) ).
tcf(c_389333,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(compose(compose(d,X0),X1)),c)
| ~ product(g,X0,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_388776,c_359381]) ).
tcf(c_389334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ product(g,X0,X3)
| ~ defined(compose(d,X0),X1)
| ~ product(codomain(compose(compose(d,X0),X1)),c,X2) ),
inference(superposition,[status(thm)],[c_388776,c_359379]) ).
tcf(c_389335,plain,
! [X0: $i] :
( defined(codomain(compose(domain(h),X0)),c)
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_388776,c_361174]) ).
tcf(c_389336,plain,
! [X0: $i] :
( defined(codomain(compose(domain(g),X0)),c)
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_388776,c_359527]) ).
tcf(c_389349,plain,
( defined(domain(a),domain(a))
| ~ defined(domain(a),b) ),
inference(light_normalisation,[status(thm)],[c_389306,c_383075]) ).
tcf(c_389350,plain,
defined(codomain(d),codomain(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_389304,c_370005]) ).
tcf(c_389491,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_355608,c_74,c_1162]) ).
tcf(c_389500,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,X1),domain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_389491]) ).
tcf(c_389503,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X1))
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_389491]) ).
tcf(c_389504,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(X1))
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_389491]) ).
tcf(c_389505,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359273,c_389491]) ).
tcf(c_389506,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359040,c_389491]) ).
tcf(c_389507,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(h,X0)))
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_389491]) ).
tcf(c_389508,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X0),domain(X1))
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_389491]) ).
tcf(c_389509,plain,
! [X0: $i] : defined(domain(X0),domain(domain(X0))),
inference(superposition,[status(thm)],[c_357696,c_389491]) ).
tcf(c_389510,plain,
! [X0: $i] : defined(codomain(X0),domain(codomain(X0))),
inference(superposition,[status(thm)],[c_357726,c_389491]) ).
tcf(c_389511,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_389491]) ).
tcf(c_389512,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(g))
| ~ defined(X0,c)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358636,c_389491]) ).
tcf(c_389513,plain,
( defined(domain(h),domain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_361164,c_389491]) ).
tcf(c_389514,plain,
! [X0: $i] :
( defined(compose(d,X0),domain(X0))
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359037,c_389491]) ).
tcf(c_389515,plain,
( defined(d,domain(domain(d)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_359038,c_389491]) ).
tcf(c_389516,plain,
( defined(d,domain(domain(d)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_358661,c_389491]) ).
tcf(c_389518,plain,
defined(d,domain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_358660,c_389491]) ).
tcf(c_389519,plain,
! [X0: $i] :
( defined(compose(d,X0),domain(h))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359271,c_389491]) ).
tcf(c_389520,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(g))
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359388,c_389491]) ).
tcf(c_389521,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(h))
| ~ product(g,X1,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359389,c_389491]) ).
tcf(c_389524,plain,
( defined(domain(g),domain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_359503,c_389491]) ).
tcf(c_389533,plain,
( defined(d,domain(domain(h)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_363053,c_389491]) ).
tcf(c_389534,plain,
( defined(d,domain(domain(h)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_361218,c_389491]) ).
tcf(c_389536,plain,
( defined(d,domain(domain(g)))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_367417,c_389491]) ).
tcf(c_389537,plain,
( defined(d,domain(domain(g)))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_365816,c_389491]) ).
tcf(c_389538,plain,
defined(d,domain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_363052,c_389491]) ).
tcf(c_389709,plain,
! [X0: $i] :
( defined(X0,domain(domain(X0)))
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_357586,c_389500]) ).
tcf(c_389716,plain,
( defined(d,domain(domain(h)))
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_360947,c_389500]) ).
tcf(c_389718,plain,
( defined(c,domain(domain(b)))
| ~ defined(c,domain(b)) ),
inference(superposition,[status(thm)],[c_371881,c_389500]) ).
tcf(c_389721,plain,
( defined(d,domain(domain(g)))
| ~ defined(d,domain(g)) ),
inference(superposition,[status(thm)],[c_365770,c_389500]) ).
tcf(c_389723,plain,
! [X0: $i] :
( defined(compose(X0,c),domain(b))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_371446,c_389500]) ).
tcf(c_389724,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,domain(X1)),domain(X1))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_357641,c_389500]) ).
tcf(c_389725,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(X1)),codomain(X1))
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_357642,c_389500]) ).
tcf(c_389726,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,X0),X1)
| ~ identity_map(domain(X0))
| ~ defined(X2,X0)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_389500,c_81]) ).
tcf(c_389727,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_389500,c_355220]) ).
tcf(c_389728,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_389500,c_359383]) ).
tcf(c_389729,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(d,X1)
| ~ product(g,X1,X0)
| ~ product(X0,domain(X1),X2) ),
inference(superposition,[status(thm)],[c_389500,c_359382]) ).
tcf(c_389730,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ identity_map(d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_389500,c_361174]) ).
tcf(c_389731,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_389500,c_359527]) ).
tcf(c_389755,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,X0),X1)
| ~ defined(X2,X0)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389726,c_82]) ).
tcf(c_389765,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_371446,c_389504]) ).
tcf(c_389768,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(X0)
| ~ identity_map(domain(X0))
| ~ defined(X2,X0)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_81]) ).
tcf(c_389769,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(domain(X1)))
| ~ identity_map(X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_355774]) ).
tcf(c_389770,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(X1))
| ~ identity_map(X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_355370]) ).
tcf(c_389771,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(X1))
| ~ identity_map(X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_375534]) ).
tcf(c_389772,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(X1))
| ~ identity_map(X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_366978]) ).
tcf(c_389773,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(X1))
| ~ identity_map(X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_366845]) ).
tcf(c_389774,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(X1))
| ~ identity_map(X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_362459]) ).
tcf(c_389775,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(X1))
| ~ identity_map(X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_361818]) ).
tcf(c_389776,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(X1))
| ~ identity_map(X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_356115]) ).
tcf(c_389777,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(X1))
| ~ identity_map(X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_356106]) ).
tcf(c_389778,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(X1))
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_356097]) ).
tcf(c_389779,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ identity_map(X1)
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_355510]) ).
tcf(c_389780,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_389504,c_359639]) ).
tcf(c_389781,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355217]) ).
tcf(c_389782,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_389504,c_374181]) ).
tcf(c_389783,plain,
! [X0: $i] :
( ( domain(X0) = domain(b) )
| ~ identity_map(X0)
| ~ identity_map(domain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_389504,c_358219]) ).
tcf(c_389784,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355339]) ).
tcf(c_389785,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_360332]) ).
tcf(c_389786,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_360167]) ).
tcf(c_389787,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_360042]) ).
tcf(c_389788,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_359797]) ).
tcf(c_389789,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355219]) ).
tcf(c_389790,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355218]) ).
tcf(c_389791,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_362842]) ).
tcf(c_389792,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_362604]) ).
tcf(c_389793,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_361637]) ).
tcf(c_389794,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_361317]) ).
tcf(c_389795,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355343]) ).
tcf(c_389796,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355340]) ).
tcf(c_389797,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_367128]) ).
tcf(c_389798,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_366693]) ).
tcf(c_389799,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_366580]) ).
tcf(c_389800,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_366010]) ).
tcf(c_389801,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355344]) ).
tcf(c_389802,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_389504,c_355341]) ).
tcf(c_389803,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,domain(X2))
| ~ identity_map(X2)
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_389504,c_355220]) ).
tcf(c_389804,plain,
! [X0: $i] :
( ( codomain(domain(X0)) = domain(a) )
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_389504,c_371102]) ).
tcf(c_389805,plain,
! [X0: $i] :
( ( domain(X0) = domain(a) )
| ~ identity_map(X0)
| ~ identity_map(domain(X0))
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_389504,c_358206]) ).
tcf(c_389806,plain,
! [X0: $i] :
( defined(domain(h),domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_385711]) ).
tcf(c_389807,plain,
! [X0: $i] :
( defined(domain(g),domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_385667]) ).
tcf(c_389808,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357261]) ).
tcf(c_389809,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357248]) ).
tcf(c_389810,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357199]) ).
tcf(c_389811,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357148]) ).
tcf(c_389812,plain,
! [X0: $i] :
( defined(g,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_355917]) ).
tcf(c_389813,plain,
! [X0: $i] :
( defined(h,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_355524]) ).
tcf(c_389814,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_355449]) ).
tcf(c_389815,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_355364]) ).
tcf(c_389816,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375699]) ).
tcf(c_389817,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_367214]) ).
tcf(c_389818,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366956]) ).
tcf(c_389819,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362509]) ).
tcf(c_389820,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362442]) ).
tcf(c_389821,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358506]) ).
tcf(c_389822,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358340]) ).
tcf(c_389823,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357955]) ).
tcf(c_389824,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_356796]) ).
tcf(c_389825,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362280]) ).
tcf(c_389826,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362129]) ).
tcf(c_389827,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_360544]) ).
tcf(c_389828,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375741]) ).
tcf(c_389829,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375716]) ).
tcf(c_389830,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375256]) ).
tcf(c_389831,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375241]) ).
tcf(c_389832,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375224]) ).
tcf(c_389833,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375209]) ).
tcf(c_389834,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375192]) ).
tcf(c_389835,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375177]) ).
tcf(c_389836,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,c)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_374786]) ).
tcf(c_389837,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_372302]) ).
tcf(c_389838,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_372287]) ).
tcf(c_389839,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_372264]) ).
tcf(c_389840,plain,
! [X0: $i] :
( defined(c,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_389504,c_371875]) ).
tcf(c_389841,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_389504,c_371889]) ).
tcf(c_389842,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_389504,c_356681]) ).
tcf(c_389843,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361396]) ).
tcf(c_389844,plain,
! [X0: $i] :
( defined(g,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361638]) ).
tcf(c_389845,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361385]) ).
tcf(c_389846,plain,
! [X0: $i] :
( defined(d,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361318]) ).
tcf(c_389847,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361374]) ).
tcf(c_389848,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_361250]) ).
tcf(c_389849,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357187]) ).
tcf(c_389850,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357016]) ).
tcf(c_389851,plain,
! [X0: $i] :
( defined(h,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366581]) ).
tcf(c_389852,plain,
! [X0: $i] :
( defined(d,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366011]) ).
tcf(c_389853,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366174]) ).
tcf(c_389854,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366140]) ).
tcf(c_389855,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366093]) ).
tcf(c_389856,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_365897]) ).
tcf(c_389857,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357235]) ).
tcf(c_389858,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357136]) ).
tcf(c_389859,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375685]) ).
tcf(c_389860,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_375672]) ).
tcf(c_389861,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_367199]) ).
tcf(c_389862,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_367184]) ).
tcf(c_389863,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366913]) ).
tcf(c_389864,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_366890]) ).
tcf(c_389865,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362494]) ).
tcf(c_389866,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362471]) ).
tcf(c_389867,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362419]) ).
tcf(c_389868,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362318]) ).
tcf(c_389869,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358483]) ).
tcf(c_389870,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358434]) ).
tcf(c_389871,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358150]) ).
tcf(c_389872,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_358050]) ).
tcf(c_389873,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357942]) ).
tcf(c_389874,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_357929]) ).
tcf(c_389875,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_356787]) ).
tcf(c_389876,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_356743]) ).
tcf(c_389877,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362295]) ).
tcf(c_389878,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_362265]) ).
tcf(c_389879,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_360587]) ).
tcf(c_389880,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ identity_map(X1)
| ~ product(g,X0,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_389504,c_359383]) ).
tcf(c_389881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(c,X2)
| ~ identity_map(X1)
| ~ product(g,X3,X0)
| ~ defined(compose(d,X3),X1)
| ~ product(X0,domain(X1),X2) ),
inference(superposition,[status(thm)],[c_389504,c_359382]) ).
tcf(c_389882,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_389504,c_361174]) ).
tcf(c_389883,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_389504,c_359527]) ).
tcf(c_389959,plain,
! [X0: $i] :
( ( domain(X0) = domain(a) )
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(light_normalisation,[status(thm)],[c_389804,c_357840]) ).
tcf(c_390292,plain,
! [X0: $i] :
( ( domain(X0) = domain(b) )
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389783,c_82]) ).
tcf(c_390300,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(X0)
| ~ defined(X2,X0)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389768,c_82]) ).
tcf(c_390703,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(c))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389350,c_81]) ).
tcf(c_390725,plain,
defined(domain(codomain(d)),c),
inference(superposition,[status(thm)],[c_389350,c_370608]) ).
tcf(c_390727,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390703,c_83]) ).
tcf(c_390731,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(compose(g,domain(d))))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_389518,c_81]) ).
tcf(c_390732,plain,
( defined(b,domain(compose(g,domain(d))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_389518,c_360332]) ).
tcf(c_390733,plain,
( defined(b,domain(compose(g,domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_389518,c_360167]) ).
tcf(c_390734,plain,
( defined(c,domain(compose(g,domain(d))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_389518,c_360042]) ).
tcf(c_390735,plain,
( defined(c,domain(compose(g,domain(d))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_389518,c_359797]) ).
tcf(c_390736,plain,
defined(g,domain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_389518,c_355219]) ).
tcf(c_390737,plain,
defined(h,domain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_389518,c_355218]) ).
tcf(c_390746,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390731,c_82]) ).
tcf(c_390749,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(compose(g,domain(h))))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_389538,c_81]) ).
tcf(c_390750,plain,
( defined(b,domain(compose(g,domain(h))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_389538,c_360332]) ).
tcf(c_390751,plain,
( defined(b,domain(compose(g,domain(h))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_389538,c_360167]) ).
tcf(c_390752,plain,
( defined(c,domain(compose(g,domain(h))))
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_389538,c_360042]) ).
tcf(c_390753,plain,
( defined(c,domain(compose(g,domain(h))))
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_389538,c_359797]) ).
tcf(c_390754,plain,
defined(g,domain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_389538,c_355219]) ).
tcf(c_390755,plain,
defined(h,domain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_389538,c_355218]) ).
tcf(c_390764,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390749,c_82]) ).
tcf(c_390775,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(compose(g,domain(d))))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_390736,c_81]) ).
tcf(c_390782,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390775,c_82]) ).
tcf(c_390797,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(compose(g,domain(d))))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_390737,c_81]) ).
tcf(c_390804,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390797,c_82]) ).
tcf(c_390807,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(compose(g,domain(h))))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_390754,c_81]) ).
tcf(c_390814,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390807,c_82]) ).
tcf(c_390817,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(compose(g,domain(h))))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_390755,c_81]) ).
tcf(c_390824,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390817,c_82]) ).
tcf(c_390834,plain,
! [X0: $i] :
( defined(X0,domain(compose(g,X0)))
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359502,c_389491]) ).
tcf(c_390835,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359502,c_387400]) ).
tcf(c_390836,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),X1)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,compose(g,X1)) ),
inference(superposition,[status(thm)],[c_359502,c_358809]) ).
tcf(c_390837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(g,X1),X2)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359502,c_80]) ).
tcf(c_390838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ product(X0,X1,X3)
| ~ product(compose(g,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359502,c_77]) ).
tcf(c_390839,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,compose(g,X2))
| ~ identity_map(d)
| ~ defined(g,X2)
| ~ defined(X0,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359502,c_79]) ).
tcf(c_390840,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ product(c,compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_359502,c_90]) ).
tcf(c_390841,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359502,c_78]) ).
tcf(c_390842,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(X0,X1)
| ~ product(compose(g,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359502,c_76]) ).
tcf(c_390843,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,X0),X1)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359502,c_75]) ).
tcf(c_390844,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359502,c_74]) ).
tcf(c_390845,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(g,X0,compose(g,X1)) ),
inference(superposition,[status(thm)],[c_359502,c_359380]) ).
tcf(c_390846,plain,
( ( domain(d) = d )
| ~ identity_map(d)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_359502,c_358667]) ).
tcf(c_390854,plain,
( ( domain(d) = d )
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390846,c_355256]) ).
tcf(c_390947,plain,
defined(codomain(d),domain(codomain(c))),
inference(superposition,[status(thm)],[c_84,c_390727]) ).
tcf(c_390949,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(X0)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390727]) ).
tcf(c_390950,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390727]) ).
tcf(c_390953,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_370036,c_390727]) ).
tcf(c_390961,plain,
( defined(codomain(d),codomain(a))
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_390727]) ).
tcf(c_390963,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_372499,c_390727]) ).
tcf(c_390966,plain,
( defined(codomain(d),domain(a))
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_390727]) ).
tcf(c_390967,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,codomain(c))))
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_390727]) ).
tcf(c_390968,plain,
! [X0: $i] :
( defined(codomain(d),compose(domain(codomain(c)),X0))
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390727]) ).
tcf(c_390969,plain,
! [X0: $i] :
( defined(codomain(d),compose(c,X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_390727]) ).
tcf(c_390970,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(d,X0)))
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_390727]) ).
tcf(c_390975,plain,
defined(codomain(d),codomain(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_390961,c_370005]) ).
tcf(c_390997,plain,
defined(d,domain(domain(compose(g,domain(d))))),
inference(superposition,[status(thm)],[c_84,c_390746]) ).
tcf(c_390998,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390746]) ).
tcf(c_390999,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390746]) ).
tcf(c_391000,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390746]) ).
tcf(c_391001,plain,
( defined(d,a)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390746]) ).
tcf(c_391002,plain,
( defined(d,a)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390746]) ).
tcf(c_391003,plain,
( defined(d,c)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390746]) ).
tcf(c_391004,plain,
( defined(d,d)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390746]) ).
tcf(c_391006,plain,
( defined(d,codomain(a))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390746]) ).
tcf(c_391007,plain,
( defined(d,codomain(a))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390746]) ).
tcf(c_391008,plain,
( defined(d,codomain(c))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390746]) ).
tcf(c_391009,plain,
( defined(d,codomain(d))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390746]) ).
tcf(c_391010,plain,
( defined(d,domain(a))
| ~ defined(domain(compose(g,domain(d))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390746]) ).
tcf(c_391011,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(compose(g,domain(d))))))
| ~ defined(X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_383578,c_390746]) ).
tcf(c_391012,plain,
! [X0: $i] :
( defined(d,compose(domain(domain(compose(g,domain(d)))),X0))
| ~ defined(domain(domain(compose(g,domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390746]) ).
tcf(c_391013,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_381388,c_390746]) ).
tcf(c_391088,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_390975,c_81]) ).
tcf(c_391110,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_391088,c_83]) ).
tcf(c_391117,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_387422,c_81]) ).
tcf(c_391118,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_387422,c_375534]) ).
tcf(c_391119,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_387422,c_366978]) ).
tcf(c_391123,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_387422,c_356115]) ).
tcf(c_391125,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_387422,c_356097]) ).
tcf(c_391126,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_387422,c_355510]) ).
tcf(c_391127,plain,
( defined(codomain(d),domain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_387422,c_390727]) ).
tcf(c_391128,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_387422,c_375699]) ).
tcf(c_391129,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_387422,c_367214]) ).
tcf(c_391134,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_387422,c_358340]) ).
tcf(c_391135,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_387422,c_357955]) ).
tcf(c_391136,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_387422,c_356796]) ).
tcf(c_391138,plain,
( defined(h,domain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_387422,c_362129]) ).
tcf(c_391140,plain,
( defined(codomain(c),c)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_387422,c_361174]) ).
tcf(c_391161,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_391117,c_82]) ).
tcf(c_391169,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_387433,c_81]) ).
tcf(c_391170,plain,
( defined(c,domain(g))
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_387433,c_375534]) ).
tcf(c_391173,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_387433,c_362459]) ).
tcf(c_391176,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_387433,c_356106]) ).
tcf(c_391177,plain,
( defined(b,domain(g))
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_387433,c_356097]) ).
tcf(c_391178,plain,
! [X0: $i] :
( defined(X0,domain(g))
| ~ identity_map(d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_387433,c_355510]) ).
tcf(c_391179,plain,
( defined(codomain(d),domain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_387433,c_390727]) ).
tcf(c_391180,plain,
( defined(c,domain(g))
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_387433,c_375699]) ).
tcf(c_391183,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_387433,c_362509]) ).
tcf(c_391185,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_387433,c_358506]) ).
tcf(c_391186,plain,
! [X0: $i] :
( defined(X0,domain(g))
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_387433,c_358340]) ).
tcf(c_391187,plain,
( defined(b,domain(g))
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_387433,c_357955]) ).
tcf(c_391191,plain,
( defined(g,domain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_387433,c_360544]) ).
tcf(c_391213,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_391169,c_82]) ).
tcf(c_391388,plain,
defined(codomain(codomain(d)),d),
inference(global_subsumption_just,[status(thm)],[c_387436,c_105967]) ).
tcf(c_391396,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_357641,c_387722]) ).
tcf(c_391397,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_357642,c_387722]) ).
tcf(c_391398,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(c)
| ~ defined(c,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_81]) ).
tcf(c_391399,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_355774]) ).
tcf(c_391401,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ identity_map(c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_371027]) ).
tcf(c_391402,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ identity_map(c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_370988]) ).
tcf(c_391404,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_355308]) ).
tcf(c_391407,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_357261]) ).
tcf(c_391408,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_357248]) ).
tcf(c_391409,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_357199]) ).
tcf(c_391410,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_357148]) ).
tcf(c_391411,plain,
( defined(g,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_355917]) ).
tcf(c_391412,plain,
( defined(h,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_355524]) ).
tcf(c_391415,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_374557]) ).
tcf(c_391416,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387722,c_358105]) ).
tcf(c_391418,plain,
( defined(h,codomain(d))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_374593]) ).
tcf(c_391419,plain,
( defined(g,codomain(d))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_374592]) ).
tcf(c_391420,plain,
( defined(h,codomain(a))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_358118]) ).
tcf(c_391421,plain,
( defined(g,codomain(a))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_358117]) ).
tcf(c_391422,plain,
( defined(g,a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_356579]) ).
tcf(c_391423,plain,
( defined(h,a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387722,c_356294]) ).
tcf(c_391424,plain,
( defined(c,codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387722,c_371875]) ).
tcf(c_391426,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387722,c_356681]) ).
tcf(c_391427,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361396]) ).
tcf(c_391428,plain,
( defined(g,codomain(c))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361638]) ).
tcf(c_391429,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361385]) ).
tcf(c_391430,plain,
( defined(d,codomain(c))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361318]) ).
tcf(c_391433,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_357187]) ).
tcf(c_391434,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_357016]) ).
tcf(c_391435,plain,
( defined(h,codomain(c))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366581]) ).
tcf(c_391436,plain,
( defined(d,codomain(c))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366011]) ).
tcf(c_391437,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366174]) ).
tcf(c_391438,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366140]) ).
tcf(c_391441,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_357235]) ).
tcf(c_391442,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_357136]) ).
tcf(c_391443,plain,
( defined(c,codomain(d))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387722,c_374604]) ).
tcf(c_391444,plain,
( defined(c,codomain(a))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387722,c_371873]) ).
tcf(c_391445,plain,
( defined(c,a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387722,c_371884]) ).
tcf(c_391446,plain,
( defined(d,codomain(d))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_374611]) ).
tcf(c_391447,plain,
( defined(g,codomain(d))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_374610]) ).
tcf(c_391448,plain,
( defined(g,codomain(a))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361645]) ).
tcf(c_391449,plain,
( defined(d,codomain(a))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_361324]) ).
tcf(c_391450,plain,
( defined(d,codomain(d))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_374619]) ).
tcf(c_391451,plain,
( defined(h,codomain(d))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_374618]) ).
tcf(c_391452,plain,
( defined(h,codomain(a))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366589]) ).
tcf(c_391453,plain,
( defined(d,codomain(a))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_366018]) ).
tcf(c_391454,plain,
( defined(d,c)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390746]) ).
tcf(c_391683,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(c)
| ~ defined(c,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387746,c_81]) ).
tcf(c_391684,plain,
( defined(b,codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_355774]) ).
tcf(c_391686,plain,
( defined(domain(b),h)
| ~ identity_map(c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_371027]) ).
tcf(c_391687,plain,
( defined(domain(b),g)
| ~ identity_map(c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_370988]) ).
tcf(c_391689,plain,
( defined(domain(b),a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_355308]) ).
tcf(c_391690,plain,
( defined(b,codomain(d))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_374557]) ).
tcf(c_391691,plain,
( defined(b,codomain(a))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_358105]) ).
tcf(c_391692,plain,
( defined(b,a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_356404]) ).
tcf(c_391693,plain,
( defined(c,codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_371875]) ).
tcf(c_391694,plain,
( defined(c,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_371889]) ).
tcf(c_391695,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_356681]) ).
tcf(c_391696,plain,
( defined(c,codomain(d))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_374604]) ).
tcf(c_391697,plain,
( defined(c,codomain(a))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387746,c_371873]) ).
tcf(c_391799,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359504,c_387400]) ).
tcf(c_391800,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),X1)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_358809]) ).
tcf(c_391801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,X2)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359504,c_80]) ).
tcf(c_391802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359504,c_77]) ).
tcf(c_391803,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X2)
| ~ defined(X0,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359504,c_79]) ).
tcf(c_391804,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_90]) ).
tcf(c_391805,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_78]) ).
tcf(c_391806,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359504,c_76]) ).
tcf(c_391808,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359504,c_74]) ).
tcf(c_391809,plain,
( ( h = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_359504,c_355384]) ).
tcf(c_391810,plain,
( ( d = g )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_359504,c_355385]) ).
tcf(c_391811,plain,
( ( domain(c) = c )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,domain(c)) ),
inference(superposition,[status(thm)],[c_359504,c_355387]) ).
tcf(c_391814,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359504,c_359076]) ).
tcf(c_391815,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ defined(c,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_358811]) ).
tcf(c_391817,plain,
! [X0: $i] :
( product(c,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359504,c_358703]) ).
tcf(c_391819,plain,
! [X0: $i] :
( product(c,compose(g,domain(d)),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359504,c_358664]) ).
tcf(c_391820,plain,
! [X0: $i] :
( product(c,g,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359504,c_355715]) ).
tcf(c_391821,plain,
! [X0: $i] :
( product(c,h,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359504,c_355714]) ).
tcf(c_391824,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_359380]) ).
tcf(c_391825,plain,
! [X0: $i,X1: $i] :
( ( compose(h,X0) = X1 )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ product(d,X0,X1)
| ~ defined(g,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359504,c_358812]) ).
tcf(c_391831,plain,
( ( domain(d) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,domain(d)) ),
inference(superposition,[status(thm)],[c_359504,c_358706]) ).
tcf(c_391832,plain,
( ( compose(g,domain(d)) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_359504,c_358667]) ).
tcf(c_391833,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,compose(d,X0))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ product(c,c,X2)
| ~ product(g,X0,X1)
| ~ defined(g,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_359504,c_359377]) ).
tcf(c_391834,plain,
( ( compose(g,domain(h)) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_359504,c_363059]) ).
tcf(c_391851,plain,
( ( domain(d) = d )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_391831,c_355256]) ).
tcf(c_391855,plain,
( ( domain(b) = c )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_391811,c_371446]) ).
tcf(c_392060,plain,
defined(codomain(d),domain(codomain(a))),
inference(superposition,[status(thm)],[c_84,c_391110]) ).
tcf(c_392062,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(X0)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_389504,c_391110]) ).
tcf(c_392063,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_355313,c_391110]) ).
tcf(c_392077,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(a),c) ),
inference(superposition,[status(thm)],[c_372499,c_391110]) ).
tcf(c_392079,plain,
( defined(codomain(d),domain(a))
| ~ defined(codomain(a),b) ),
inference(superposition,[status(thm)],[c_383255,c_391110]) ).
tcf(c_392080,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,codomain(a))))
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_383578,c_391110]) ).
tcf(c_392081,plain,
! [X0: $i] :
( defined(codomain(d),compose(domain(codomain(a)),X0))
| ~ defined(domain(codomain(a)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_391110]) ).
tcf(c_392082,plain,
! [X0: $i] :
( defined(codomain(d),compose(a,X0))
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_387409,c_391110]) ).
tcf(c_392083,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(d,X0)))
| ~ product(g,X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_381388,c_391110]) ).
tcf(c_392106,plain,
defined(d,domain(domain(compose(g,domain(h))))),
inference(superposition,[status(thm)],[c_84,c_390764]) ).
tcf(c_392107,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390764]) ).
tcf(c_392108,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390764]) ).
tcf(c_392109,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390764]) ).
tcf(c_392110,plain,
( defined(d,a)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390764]) ).
tcf(c_392111,plain,
( defined(d,a)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390764]) ).
tcf(c_392112,plain,
( defined(d,c)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390764]) ).
tcf(c_392113,plain,
( defined(d,c)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390764]) ).
tcf(c_392114,plain,
( defined(d,d)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390764]) ).
tcf(c_392116,plain,
( defined(d,codomain(a))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390764]) ).
tcf(c_392117,plain,
( defined(d,codomain(a))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390764]) ).
tcf(c_392118,plain,
( defined(d,codomain(c))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390764]) ).
tcf(c_392119,plain,
( defined(d,codomain(d))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390764]) ).
tcf(c_392120,plain,
( defined(d,domain(a))
| ~ defined(domain(compose(g,domain(h))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390764]) ).
tcf(c_392121,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(compose(g,domain(h))))))
| ~ defined(X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_383578,c_390764]) ).
tcf(c_392122,plain,
! [X0: $i] :
( defined(d,compose(domain(domain(compose(g,domain(h)))),X0))
| ~ defined(domain(domain(compose(g,domain(h)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390764]) ).
tcf(c_392123,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_381388,c_390764]) ).
tcf(c_392329,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387749,c_81]) ).
tcf(c_392332,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_371027]) ).
tcf(c_392333,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_370988]) ).
tcf(c_392335,plain,
( defined(domain(h),a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_355308]) ).
tcf(c_392342,plain,
( defined(d,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_361318]) ).
tcf(c_392344,plain,
( defined(d,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_361250]) ).
tcf(c_392347,plain,
( defined(d,codomain(d))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_374611]) ).
tcf(c_392350,plain,
( defined(d,codomain(a))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387749,c_361324]) ).
tcf(c_392375,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387755,c_81]) ).
tcf(c_392378,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387755,c_371027]) ).
tcf(c_392379,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387755,c_370988]) ).
tcf(c_392381,plain,
( defined(domain(g),a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387755,c_355308]) ).
tcf(c_392414,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_357641,c_389126]) ).
tcf(c_392415,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_357642,c_389126]) ).
tcf(c_392416,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_389126,c_81]) ).
tcf(c_392425,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389126,c_357261]) ).
tcf(c_392426,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389126,c_357248]) ).
tcf(c_392427,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389126,c_357199]) ).
tcf(c_392428,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389126,c_357148]) ).
tcf(c_392447,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_389126,c_356681]) ).
tcf(c_392448,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_389126,c_361396]) ).
tcf(c_392450,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_389126,c_361385]) ).
tcf(c_392454,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_389126,c_357187]) ).
tcf(c_392455,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_389126,c_357016]) ).
tcf(c_392458,plain,
( defined(c,d)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_389126,c_366174]) ).
tcf(c_392459,plain,
( defined(b,d)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_389126,c_366140]) ).
tcf(c_392462,plain,
( defined(b,d)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_389126,c_357235]) ).
tcf(c_392463,plain,
( defined(c,d)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_389126,c_357136]) ).
tcf(c_392476,plain,
( defined(d,d)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390746]) ).
tcf(c_392477,plain,
( defined(d,d)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390764]) ).
tcf(c_392561,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(c,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389150,c_81]) ).
tcf(c_392573,plain,
( defined(c,d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_389150,c_371889]) ).
tcf(c_392574,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_389150,c_356681]) ).
tcf(c_392592,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389153,c_81]) ).
tcf(c_392608,plain,
( defined(d,d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389153,c_361250]) ).
tcf(c_392625,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_389159,c_81]) ).
tcf(c_392652,plain,
defined(d,domain(domain(d))),
inference(global_subsumption_just,[status(thm)],[c_389515,c_54647]) ).
tcf(c_392665,plain,
! [X0: $i] :
( defined(X0,domain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359505,c_389491]) ).
tcf(c_392666,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359505,c_387400]) ).
tcf(c_392667,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(h,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ product(d,X1,g)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359505,c_358809]) ).
tcf(c_392668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,g,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359505,c_80]) ).
tcf(c_392669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ product(g,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359505,c_77]) ).
tcf(c_392670,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,g)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ defined(X0,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359505,c_79]) ).
tcf(c_392671,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_359505,c_90]) ).
tcf(c_392672,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359505,c_78]) ).
tcf(c_392673,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ defined(X2,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359505,c_76]) ).
tcf(c_392674,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_359505,c_75]) ).
tcf(c_392676,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359505,c_355385]) ).
tcf(c_392677,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(g,X0,g) ),
inference(superposition,[status(thm)],[c_359505,c_359380]) ).
tcf(c_392892,plain,
defined(g,domain(domain(compose(g,domain(d))))),
inference(superposition,[status(thm)],[c_84,c_390782]) ).
tcf(c_392893,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390782]) ).
tcf(c_392894,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390782]) ).
tcf(c_392895,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390782]) ).
tcf(c_392896,plain,
( defined(g,a)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390782]) ).
tcf(c_392897,plain,
( defined(g,a)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390782]) ).
tcf(c_392898,plain,
( defined(g,c)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390782]) ).
tcf(c_392899,plain,
( defined(g,c)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390782]) ).
tcf(c_392900,plain,
( defined(g,d)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390782]) ).
tcf(c_392901,plain,
( defined(g,d)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390782]) ).
tcf(c_392903,plain,
( defined(g,codomain(a))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390782]) ).
tcf(c_392904,plain,
( defined(g,codomain(a))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390782]) ).
tcf(c_392905,plain,
( defined(g,codomain(c))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390782]) ).
tcf(c_392906,plain,
( defined(g,codomain(d))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390782]) ).
tcf(c_392907,plain,
( defined(g,domain(a))
| ~ defined(domain(compose(g,domain(d))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390782]) ).
tcf(c_392908,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(compose(g,domain(d))))))
| ~ defined(X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_383578,c_390782]) ).
tcf(c_392909,plain,
! [X0: $i] :
( defined(g,compose(domain(domain(compose(g,domain(d)))),X0))
| ~ defined(domain(domain(compose(g,domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390782]) ).
tcf(c_392910,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_381388,c_390782]) ).
tcf(c_393111,plain,
defined(h,domain(domain(compose(g,domain(d))))),
inference(superposition,[status(thm)],[c_84,c_390804]) ).
tcf(c_393112,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390804]) ).
tcf(c_393113,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390804]) ).
tcf(c_393114,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(compose(g,domain(d))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390804]) ).
tcf(c_393115,plain,
( defined(h,a)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390804]) ).
tcf(c_393116,plain,
( defined(h,a)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390804]) ).
tcf(c_393117,plain,
( defined(h,c)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390804]) ).
tcf(c_393118,plain,
( defined(h,c)
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390804]) ).
tcf(c_393119,plain,
( defined(h,d)
| ~ defined(compose(g,domain(d)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390804]) ).
tcf(c_393120,plain,
( defined(h,d)
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390804]) ).
tcf(c_393122,plain,
( defined(h,codomain(a))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390804]) ).
tcf(c_393123,plain,
( defined(h,codomain(a))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390804]) ).
tcf(c_393124,plain,
( defined(h,codomain(c))
| ~ defined(domain(compose(g,domain(d))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390804]) ).
tcf(c_393125,plain,
( defined(h,codomain(d))
| ~ defined(domain(compose(g,domain(d))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390804]) ).
tcf(c_393126,plain,
( defined(h,domain(a))
| ~ defined(domain(compose(g,domain(d))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390804]) ).
tcf(c_393127,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,domain(compose(g,domain(d))))))
| ~ defined(X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_383578,c_390804]) ).
tcf(c_393128,plain,
! [X0: $i] :
( defined(h,compose(domain(domain(compose(g,domain(d)))),X0))
| ~ defined(domain(domain(compose(g,domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390804]) ).
tcf(c_393129,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_381388,c_390804]) ).
tcf(c_393180,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_391127,c_81]) ).
tcf(c_393203,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393180,c_82]) ).
tcf(c_393211,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_391179,c_81]) ).
tcf(c_393234,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393211,c_82]) ).
tcf(c_393242,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(c))
| ~ defined(X1,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391399,c_81]) ).
tcf(c_393243,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(c)))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_355774]) ).
tcf(c_393244,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_355370]) ).
tcf(c_393245,plain,
! [X0: $i] :
( defined(c,codomain(c))
| ~ defined(b,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_375534]) ).
tcf(c_393246,plain,
! [X0: $i] :
( defined(h,codomain(c))
| ~ defined(g,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_366978]) ).
tcf(c_393247,plain,
! [X0: $i] :
( defined(d,codomain(c))
| ~ defined(g,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_366845]) ).
tcf(c_393248,plain,
! [X0: $i] :
( defined(g,codomain(c))
| ~ defined(h,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_362459]) ).
tcf(c_393249,plain,
! [X0: $i] :
( defined(d,codomain(c))
| ~ defined(h,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_361818]) ).
tcf(c_393250,plain,
! [X0: $i] :
( defined(h,codomain(c))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_356115]) ).
tcf(c_393251,plain,
! [X0: $i] :
( defined(g,codomain(c))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_356106]) ).
tcf(c_393252,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ defined(c,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_356097]) ).
tcf(c_393253,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_355510]) ).
tcf(c_393254,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391399,c_359639]) ).
tcf(c_393257,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391399,c_358219]) ).
tcf(c_393258,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391399,c_355339]) ).
tcf(c_393259,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391399,c_360332]) ).
tcf(c_393260,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391399,c_360167]) ).
tcf(c_393261,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391399,c_360042]) ).
tcf(c_393262,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391399,c_359797]) ).
tcf(c_393265,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391399,c_362842]) ).
tcf(c_393266,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391399,c_362604]) ).
tcf(c_393269,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391399,c_355343]) ).
tcf(c_393270,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391399,c_355340]) ).
tcf(c_393271,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391399,c_367128]) ).
tcf(c_393272,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391399,c_366693]) ).
tcf(c_393275,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391399,c_355344]) ).
tcf(c_393276,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391399,c_355341]) ).
tcf(c_393277,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),a) ),
inference(superposition,[status(thm)],[c_391399,c_355220]) ).
tcf(c_393278,plain,
( ( codomain(codomain(c)) = domain(a) )
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_391399,c_371102]) ).
tcf(c_393279,plain,
( ( domain(a) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_391399,c_358206]) ).
tcf(c_393280,plain,
( defined(domain(h),codomain(c))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_385711]) ).
tcf(c_393281,plain,
( defined(domain(g),codomain(c))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_385667]) ).
tcf(c_393282,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_357261]) ).
tcf(c_393283,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_357248]) ).
tcf(c_393284,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_357199]) ).
tcf(c_393285,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_357148]) ).
tcf(c_393286,plain,
( defined(g,codomain(codomain(c)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_355917]) ).
tcf(c_393287,plain,
( defined(h,codomain(codomain(c)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_355524]) ).
tcf(c_393288,plain,
( defined(g,codomain(c))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_355449]) ).
tcf(c_393289,plain,
( defined(h,codomain(c))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_355364]) ).
tcf(c_393303,plain,
( defined(c,codomain(c))
| ~ defined(b,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375741]) ).
tcf(c_393304,plain,
( defined(b,codomain(c))
| ~ defined(c,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375716]) ).
tcf(c_393305,plain,
( defined(d,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375256]) ).
tcf(c_393306,plain,
( defined(h,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375241]) ).
tcf(c_393307,plain,
( defined(d,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375224]) ).
tcf(c_393308,plain,
( defined(g,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375209]) ).
tcf(c_393309,plain,
( defined(h,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375192]) ).
tcf(c_393310,plain,
( defined(g,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_375177]) ).
tcf(c_393311,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,c)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_374786]) ).
tcf(c_393315,plain,
( defined(c,codomain(codomain(c)))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391399,c_371875]) ).
tcf(c_393316,plain,
( defined(c,codomain(c))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391399,c_371889]) ).
tcf(c_393317,plain,
( defined(a,codomain(c))
| ~ identity_map(b)
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391399,c_356681]) ).
tcf(c_393318,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361396]) ).
tcf(c_393319,plain,
( defined(g,codomain(codomain(c)))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361638]) ).
tcf(c_393320,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361385]) ).
tcf(c_393321,plain,
( defined(d,codomain(codomain(c)))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361318]) ).
tcf(c_393322,plain,
( defined(g,codomain(c))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361374]) ).
tcf(c_393323,plain,
( defined(d,codomain(c))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_361250]) ).
tcf(c_393324,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_357187]) ).
tcf(c_393325,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_357016]) ).
tcf(c_393326,plain,
( defined(h,codomain(codomain(c)))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_366581]) ).
tcf(c_393327,plain,
( defined(d,codomain(codomain(c)))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_366011]) ).
tcf(c_393328,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_366174]) ).
tcf(c_393329,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_366140]) ).
tcf(c_393330,plain,
( defined(h,codomain(c))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_366093]) ).
tcf(c_393331,plain,
( defined(d,codomain(c))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_365897]) ).
tcf(c_393332,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_357235]) ).
tcf(c_393333,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_357136]) ).
tcf(c_393336,plain,
( defined(c,codomain(c))
| ~ defined(b,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_375672]) ).
tcf(c_393338,plain,
( defined(h,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_367184]) ).
tcf(c_393340,plain,
( defined(d,codomain(c))
| ~ defined(g,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_366890]) ).
tcf(c_393342,plain,
( defined(g,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_362471]) ).
tcf(c_393344,plain,
( defined(d,codomain(c))
| ~ defined(h,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_362318]) ).
tcf(c_393345,plain,
( defined(g,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_358483]) ).
tcf(c_393347,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_358150]) ).
tcf(c_393349,plain,
( defined(b,codomain(c))
| ~ defined(c,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_357942]) ).
tcf(c_393351,plain,
( defined(h,codomain(c))
| ~ defined(d,c)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391399,c_356787]) ).
tcf(c_393359,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),a) ),
inference(superposition,[status(thm)],[c_391399,c_359383]) ).
tcf(c_393360,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),a)
| ~ product(X0,codomain(c),X1) ),
inference(superposition,[status(thm)],[c_391399,c_359382]) ).
tcf(c_393361,plain,
( defined(h,codomain(c))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390804]) ).
tcf(c_393362,plain,
( defined(g,codomain(c))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390782]) ).
tcf(c_393363,plain,
( defined(d,codomain(c))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390746]) ).
tcf(c_393366,plain,
( defined(d,codomain(c))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390764]) ).
tcf(c_393539,plain,
( ( domain(a) = codomain(c) )
| ~ defined(a,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393279,c_83]) ).
tcf(c_393545,plain,
( ( domain(b) = codomain(c) )
| ~ defined(b,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393257,c_83]) ).
tcf(c_393551,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393242,c_83]) ).
tcf(c_393772,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(c))
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391411,c_81]) ).
tcf(c_393781,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393772,c_83]) ).
tcf(c_393801,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(c))
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391412,c_81]) ).
tcf(c_393810,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393801,c_83]) ).
tcf(c_393818,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(d))
| ~ defined(X1,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391415,c_81]) ).
tcf(c_393819,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(d)))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_355774]) ).
tcf(c_393820,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_355370]) ).
tcf(c_393821,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_375534]) ).
tcf(c_393822,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_366978]) ).
tcf(c_393823,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_366845]) ).
tcf(c_393824,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_362459]) ).
tcf(c_393825,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_361818]) ).
tcf(c_393826,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_356115]) ).
tcf(c_393827,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_356106]) ).
tcf(c_393828,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_356097]) ).
tcf(c_393829,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_355510]) ).
tcf(c_393830,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391415,c_359639]) ).
tcf(c_393833,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391415,c_358219]) ).
tcf(c_393834,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391415,c_355339]) ).
tcf(c_393835,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391415,c_360332]) ).
tcf(c_393836,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391415,c_360167]) ).
tcf(c_393837,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391415,c_360042]) ).
tcf(c_393838,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_391415,c_359797]) ).
tcf(c_393841,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391415,c_362842]) ).
tcf(c_393842,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391415,c_362604]) ).
tcf(c_393845,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391415,c_355343]) ).
tcf(c_393846,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391415,c_355340]) ).
tcf(c_393847,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391415,c_367128]) ).
tcf(c_393848,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391415,c_366693]) ).
tcf(c_393851,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391415,c_355344]) ).
tcf(c_393852,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391415,c_355341]) ).
tcf(c_393853,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),a) ),
inference(superposition,[status(thm)],[c_391415,c_355220]) ).
tcf(c_393854,plain,
( ( codomain(codomain(d)) = domain(a) )
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_391415,c_371102]) ).
tcf(c_393855,plain,
( ( domain(a) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_391415,c_358206]) ).
tcf(c_393856,plain,
( defined(domain(h),codomain(d))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_385711]) ).
tcf(c_393857,plain,
( defined(domain(g),codomain(d))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_385667]) ).
tcf(c_393858,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_357261]) ).
tcf(c_393859,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_357248]) ).
tcf(c_393860,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_357199]) ).
tcf(c_393861,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_357148]) ).
tcf(c_393862,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_355917]) ).
tcf(c_393863,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_355524]) ).
tcf(c_393864,plain,
( defined(g,codomain(d))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_355449]) ).
tcf(c_393865,plain,
( defined(h,codomain(d))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_355364]) ).
tcf(c_393866,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_390727]) ).
tcf(c_393867,plain,
( defined(c,codomain(d))
| ~ defined(b,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_375699]) ).
tcf(c_393868,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_367214]) ).
tcf(c_393869,plain,
( defined(d,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_366956]) ).
tcf(c_393870,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_362509]) ).
tcf(c_393871,plain,
( defined(d,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_362442]) ).
tcf(c_393872,plain,
( defined(g,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_358506]) ).
tcf(c_393873,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_358340]) ).
tcf(c_393874,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_357955]) ).
tcf(c_393875,plain,
( defined(h,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(c),a) ),
inference(superposition,[status(thm)],[c_391415,c_356796]) ).
tcf(c_393891,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391415,c_371875]) ).
tcf(c_393892,plain,
( defined(c,codomain(d))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391415,c_371889]) ).
tcf(c_393893,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_391415,c_356681]) ).
tcf(c_393894,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361396]) ).
tcf(c_393895,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361638]) ).
tcf(c_393896,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361385]) ).
tcf(c_393897,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361318]) ).
tcf(c_393898,plain,
( defined(g,codomain(d))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361374]) ).
tcf(c_393899,plain,
( defined(d,codomain(d))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_361250]) ).
tcf(c_393900,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_357187]) ).
tcf(c_393901,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_357016]) ).
tcf(c_393902,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_366581]) ).
tcf(c_393903,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_366011]) ).
tcf(c_393904,plain,
( defined(c,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_366174]) ).
tcf(c_393905,plain,
( defined(b,codomain(d))
| ~ identity_map(h)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_366140]) ).
tcf(c_393906,plain,
( defined(h,codomain(d))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_366093]) ).
tcf(c_393907,plain,
( defined(d,codomain(d))
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_365897]) ).
tcf(c_393908,plain,
( defined(b,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_357235]) ).
tcf(c_393909,plain,
( defined(c,codomain(d))
| ~ identity_map(g)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_357136]) ).
tcf(c_393910,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_391110]) ).
tcf(c_393911,plain,
( defined(c,codomain(d))
| ~ defined(b,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_375685]) ).
tcf(c_393913,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_367199]) ).
tcf(c_393915,plain,
( defined(d,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_366913]) ).
tcf(c_393917,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_362494]) ).
tcf(c_393919,plain,
( defined(d,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_362419]) ).
tcf(c_393922,plain,
( defined(g,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_358434]) ).
tcf(c_393924,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_358050]) ).
tcf(c_393926,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_357929]) ).
tcf(c_393928,plain,
( defined(h,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(a),a) ),
inference(superposition,[status(thm)],[c_391415,c_356743]) ).
tcf(c_393932,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),a) ),
inference(superposition,[status(thm)],[c_391415,c_359383]) ).
tcf(c_393933,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),a)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_391415,c_359382]) ).
tcf(c_393934,plain,
( defined(h,codomain(d))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390804]) ).
tcf(c_393935,plain,
( defined(g,codomain(d))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390782]) ).
tcf(c_393936,plain,
( defined(d,codomain(d))
| ~ defined(domain(compose(g,domain(d))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390746]) ).
tcf(c_393937,plain,
( defined(d,codomain(d))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390764]) ).
tcf(c_394110,plain,
( ( domain(a) = codomain(d) )
| ~ defined(a,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393855,c_83]) ).
tcf(c_394116,plain,
( ( domain(b) = codomain(d) )
| ~ defined(b,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393833,c_83]) ).
tcf(c_394122,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393818,c_83]) ).
tcf(c_394355,plain,
! [X0: $i,X1: $i] :
( product(X1,g,compose(X0,domain(g)))
| ~ identity_map(d)
| ~ defined(X0,domain(g))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_73,c_359523]) ).
tcf(c_394356,plain,
! [X0: $i] :
( product(X0,g,g)
| ~ identity_map(d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_86,c_359523]) ).
tcf(c_394357,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(d)
| ~ product(codomain(domain(g)),c,X0) ),
inference(superposition,[status(thm)],[c_87,c_359523]) ).
tcf(c_394358,plain,
! [X0: $i,X1: $i] :
( product(X1,g,domain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,domain(g))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_88,c_359523]) ).
tcf(c_394359,plain,
! [X0: $i,X1: $i] :
( product(X1,g,X0)
| ~ identity_map(d)
| ~ identity_map(domain(g))
| ~ defined(X0,domain(g))
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_89,c_359523]) ).
tcf(c_394360,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(domain(g))
| ~ defined(d,domain(g))
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359040,c_359523]) ).
tcf(c_394361,plain,
! [X0: $i,X1: $i] :
( product(X1,g,compose(d,X0))
| ~ identity_map(d)
| ~ product(c,c,X1)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_359369,c_359523]) ).
tcf(c_394362,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(d)
| ~ product(domain(g),c,X0) ),
inference(superposition,[status(thm)],[c_357696,c_359523]) ).
tcf(c_394363,plain,
! [X0: $i] :
( product(X0,g,compose(d,domain(g)))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(g))
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359037,c_359523]) ).
tcf(c_394364,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,domain(g))
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359504,c_359523]) ).
tcf(c_394365,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(g))
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359039,c_359523]) ).
tcf(c_394366,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_365804,c_359523]) ).
tcf(c_394367,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_367417,c_359523]) ).
tcf(c_394368,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_365816,c_359523]) ).
tcf(c_394397,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ product(c,c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_394365,c_365813]) ).
tcf(c_394402,plain,
! [X0: $i] :
( product(X0,g,domain(g))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ product(c,c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_394364,c_84]) ).
tcf(c_394407,plain,
! [X0: $i,X1: $i] :
( product(X1,g,X0)
| ~ identity_map(d)
| ~ defined(X0,domain(g))
| ~ product(X0,c,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_394359,c_82]) ).
tcf(c_394417,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,domain(g))
| ~ product(c,c,X0) ),
inference(light_normalisation,[status(thm)],[c_394363,c_365770]) ).
tcf(c_394646,plain,
defined(g,domain(domain(compose(g,domain(h))))),
inference(superposition,[status(thm)],[c_84,c_390814]) ).
tcf(c_394647,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390814]) ).
tcf(c_394648,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390814]) ).
tcf(c_394649,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390814]) ).
tcf(c_394650,plain,
( defined(g,a)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390814]) ).
tcf(c_394651,plain,
( defined(g,a)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390814]) ).
tcf(c_394652,plain,
( defined(g,c)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390814]) ).
tcf(c_394653,plain,
( defined(g,c)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390814]) ).
tcf(c_394654,plain,
( defined(g,d)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390814]) ).
tcf(c_394655,plain,
( defined(g,d)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390814]) ).
tcf(c_394657,plain,
( defined(g,codomain(a))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390814]) ).
tcf(c_394658,plain,
( defined(g,codomain(a))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390814]) ).
tcf(c_394659,plain,
( defined(g,codomain(c))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390814]) ).
tcf(c_394660,plain,
( defined(g,codomain(c))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390814]) ).
tcf(c_394661,plain,
( defined(g,codomain(d))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390814]) ).
tcf(c_394662,plain,
( defined(g,codomain(d))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390814]) ).
tcf(c_394663,plain,
( defined(g,domain(a))
| ~ defined(domain(compose(g,domain(h))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390814]) ).
tcf(c_394664,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(compose(g,domain(h))))))
| ~ defined(X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_383578,c_390814]) ).
tcf(c_394665,plain,
! [X0: $i] :
( defined(g,compose(domain(domain(compose(g,domain(h)))),X0))
| ~ defined(domain(domain(compose(g,domain(h)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390814]) ).
tcf(c_394666,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_381388,c_390814]) ).
tcf(c_394771,plain,
defined(h,domain(domain(compose(g,domain(h))))),
inference(superposition,[status(thm)],[c_84,c_390824]) ).
tcf(c_394772,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_389504,c_390824]) ).
tcf(c_394773,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_355221,c_390824]) ).
tcf(c_394774,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(compose(g,domain(h))),X0) ),
inference(superposition,[status(thm)],[c_355313,c_390824]) ).
tcf(c_394775,plain,
( defined(h,a)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_356008,c_390824]) ).
tcf(c_394776,plain,
( defined(h,a)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_355486,c_390824]) ).
tcf(c_394777,plain,
( defined(h,c)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_387722,c_390824]) ).
tcf(c_394778,plain,
( defined(h,c)
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_355487,c_390824]) ).
tcf(c_394779,plain,
( defined(h,d)
| ~ defined(compose(g,domain(h)),a) ),
inference(superposition,[status(thm)],[c_389126,c_390824]) ).
tcf(c_394780,plain,
( defined(h,d)
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_370869,c_390824]) ).
tcf(c_394782,plain,
( defined(h,codomain(a))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_357967,c_390824]) ).
tcf(c_394783,plain,
( defined(h,codomain(a))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357966,c_390824]) ).
tcf(c_394784,plain,
( defined(h,codomain(c))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391399,c_390824]) ).
tcf(c_394785,plain,
( defined(h,codomain(c))
| ~ defined(domain(compose(g,domain(h))),d) ),
inference(superposition,[status(thm)],[c_357968,c_390824]) ).
tcf(c_394786,plain,
( defined(h,codomain(d))
| ~ defined(domain(compose(g,domain(h))),a) ),
inference(superposition,[status(thm)],[c_391415,c_390824]) ).
tcf(c_394787,plain,
( defined(h,codomain(d))
| ~ defined(domain(compose(g,domain(h))),c) ),
inference(superposition,[status(thm)],[c_372499,c_390824]) ).
tcf(c_394788,plain,
( defined(h,domain(a))
| ~ defined(domain(compose(g,domain(h))),b) ),
inference(superposition,[status(thm)],[c_383255,c_390824]) ).
tcf(c_394789,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,domain(compose(g,domain(h))))))
| ~ defined(X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_383578,c_390824]) ).
tcf(c_394790,plain,
! [X0: $i] :
( defined(h,compose(domain(domain(compose(g,domain(h)))),X0))
| ~ defined(domain(domain(compose(g,domain(h)))),X0) ),
inference(superposition,[status(thm)],[c_384636,c_390824]) ).
tcf(c_394791,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ product(g,X0,domain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_381388,c_390824]) ).
tcf(c_395043,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391418,c_81]) ).
tcf(c_395050,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395043,c_83]) ).
tcf(c_395058,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391419,c_81]) ).
tcf(c_395065,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395058,c_83]) ).
tcf(c_395073,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(c))
| ~ defined(b,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391424,c_81]) ).
tcf(c_395075,plain,
( defined(b,codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391424,c_355217]) ).
tcf(c_395077,plain,
( defined(domain(c),c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391424,c_370608]) ).
tcf(c_395079,plain,
( defined(domain(b),c)
| ~ defined(b,a) ),
inference(light_normalisation,[status(thm)],[c_395077,c_371446]) ).
tcf(c_395084,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395073,c_83]) ).
tcf(c_395092,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(c))
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391428,c_81]) ).
tcf(c_395095,plain,
( defined(h,codomain(c))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391428,c_366580]) ).
tcf(c_395099,plain,
( defined(domain(g),c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391428,c_370608]) ).
tcf(c_395105,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395092,c_83]) ).
tcf(c_395113,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(c))
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391430,c_81]) ).
tcf(c_395120,plain,
( defined(domain(d),c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391430,c_370608]) ).
tcf(c_395123,plain,
( defined(domain(h),c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391430,c_370632]) ).
tcf(c_395128,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395113,c_83]) ).
tcf(c_395136,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(c))
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391435,c_81]) ).
tcf(c_395139,plain,
( defined(g,codomain(c))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391435,c_361637]) ).
tcf(c_395143,plain,
( defined(domain(h),c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391435,c_370608]) ).
tcf(c_395149,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395136,c_83]) ).
tcf(c_395157,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(c))
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391436,c_81]) ).
tcf(c_395164,plain,
( defined(domain(d),c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391436,c_370608]) ).
tcf(c_395166,plain,
( defined(domain(g),c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391436,c_370633]) ).
tcf(c_395172,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395157,c_83]) ).
tcf(c_395180,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391443,c_81]) ).
tcf(c_395182,plain,
( defined(b,codomain(d))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391443,c_355217]) ).
tcf(c_395185,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395180,c_83]) ).
tcf(c_395197,plain,
! [X0: $i,X1: $i] :
( product(c,X1,compose(domain(g),X0))
| ~ identity_map(d)
| ~ defined(domain(g),X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_359524]) ).
tcf(c_395198,plain,
! [X0: $i] :
( product(c,X0,domain(g))
| ~ identity_map(d)
| ~ product(g,domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_86,c_359524]) ).
tcf(c_395199,plain,
! [X0: $i,X1: $i] :
( product(c,X1,X0)
| ~ identity_map(d)
| ~ identity_map(domain(g))
| ~ defined(domain(g),X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_359524]) ).
tcf(c_395200,plain,
! [X0: $i,X1: $i] :
( product(c,X1,domain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(g),X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_359524]) ).
tcf(c_395201,plain,
! [X0: $i] :
( product(c,X0,domain(g))
| ~ identity_map(d)
| ~ product(g,domain(g),X0) ),
inference(superposition,[status(thm)],[c_357696,c_359524]) ).
tcf(c_395217,plain,
! [X0: $i,X1: $i] :
( product(c,X1,X0)
| ~ identity_map(d)
| ~ defined(domain(g),X0)
| ~ product(g,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395199,c_82]) ).
tcf(c_395235,plain,
( defined(codomain(c),domain(domain(h)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_391161]) ).
tcf(c_395236,plain,
! [X0: $i] :
( defined(codomain(c),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_391161]) ).
tcf(c_395237,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_391161]) ).
tcf(c_395238,plain,
! [X0: $i] :
( defined(codomain(c),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_391161]) ).
tcf(c_395241,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387722,c_391161]) ).
tcf(c_395242,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_355487,c_391161]) ).
tcf(c_395252,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_357967,c_391161]) ).
tcf(c_395253,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357966,c_391161]) ).
tcf(c_395254,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391399,c_391161]) ).
tcf(c_395255,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_357968,c_391161]) ).
tcf(c_395257,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_376683,c_391161]) ).
tcf(c_395258,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_376670,c_391161]) ).
tcf(c_395266,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_391161]) ).
tcf(c_395267,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_391161]) ).
tcf(c_395268,plain,
( defined(codomain(c),domain(a))
| ~ identity_map(d)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_391161]) ).
tcf(c_395269,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(X0,domain(h))))
| ~ identity_map(d)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_391161]) ).
tcf(c_395270,plain,
! [X0: $i] :
( defined(codomain(c),compose(domain(domain(h)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_391161]) ).
tcf(c_395271,plain,
( defined(codomain(c),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_383890,c_391161]) ).
tcf(c_395272,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_391161]) ).
tcf(c_395538,plain,
( defined(codomain(c),domain(domain(g)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_391213]) ).
tcf(c_395539,plain,
! [X0: $i] :
( defined(codomain(c),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_391213]) ).
tcf(c_395541,plain,
! [X0: $i] :
( defined(codomain(c),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_391213]) ).
tcf(c_395544,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387722,c_391213]) ).
tcf(c_395555,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_357967,c_391213]) ).
tcf(c_395556,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357966,c_391213]) ).
tcf(c_395557,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391399,c_391213]) ).
tcf(c_395558,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_357968,c_391213]) ).
tcf(c_395559,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_391213]) ).
tcf(c_395560,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_391213]) ).
tcf(c_395563,plain,
( defined(codomain(c),c)
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_376668,c_391213]) ).
tcf(c_395571,plain,
( defined(codomain(c),domain(a))
| ~ identity_map(d)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_391213]) ).
tcf(c_395572,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(X0,domain(g))))
| ~ identity_map(d)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_391213]) ).
tcf(c_395573,plain,
! [X0: $i] :
( defined(codomain(c),compose(domain(domain(g)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_391213]) ).
tcf(c_395574,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_391213]) ).
tcf(c_395615,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391446,c_81]) ).
tcf(c_395621,plain,
( defined(h,codomain(d))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_391446,c_355218]) ).
tcf(c_395624,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395615,c_83]) ).
tcf(c_395632,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391447,c_81]) ).
tcf(c_395639,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395632,c_83]) ).
tcf(c_395647,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391450,c_81]) ).
tcf(c_395652,plain,
( defined(g,codomain(d))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_391450,c_355219]) ).
tcf(c_395656,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395647,c_83]) ).
tcf(c_395664,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391451,c_81]) ).
tcf(c_395671,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395664,c_83]) ).
tcf(c_395679,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(c))
| ~ defined(c,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_391684,c_81]) ).
tcf(c_395681,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391684,c_358219]) ).
tcf(c_395685,plain,
( ( domain(b) = codomain(c) )
| ~ defined(c,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395681,c_83]) ).
tcf(c_395688,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,a)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395679,c_83]) ).
tcf(c_395696,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_391690,c_81]) ).
tcf(c_395698,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(codomain(d))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391690,c_358219]) ).
tcf(c_395700,plain,
( ( domain(b) = codomain(d) )
| ~ defined(c,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395698,c_83]) ).
tcf(c_395703,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,a)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395696,c_83]) ).
tcf(c_395715,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_73,c_359525]) ).
tcf(c_395718,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_89,c_359525]) ).
tcf(c_395719,plain,
( defined(d,g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,c)
| ~ defined(c,domain(g)) ),
inference(superposition,[status(thm)],[c_359040,c_359525]) ).
tcf(c_395720,plain,
! [X0: $i] :
( defined(compose(d,X0),g)
| ~ identity_map(d)
| ~ defined(c,domain(g))
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_359369,c_359525]) ).
tcf(c_395721,plain,
( defined(compose(d,c),g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,domain(g)) ),
inference(superposition,[status(thm)],[c_359037,c_359525]) ).
tcf(c_395756,plain,
( defined(codomain(d),domain(domain(h)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_393203]) ).
tcf(c_395757,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_389504,c_393203]) ).
tcf(c_395758,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355221,c_393203]) ).
tcf(c_395759,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_355313,c_393203]) ).
tcf(c_395764,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_389126,c_393203]) ).
tcf(c_395765,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_370869,c_393203]) ).
tcf(c_395782,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_389153,c_393203]) ).
tcf(c_395783,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_377561,c_393203]) ).
tcf(c_395784,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_377524,c_393203]) ).
tcf(c_395785,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_370886,c_393203]) ).
tcf(c_395786,plain,
( defined(codomain(d),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370892,c_393203]) ).
tcf(c_395787,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_391415,c_393203]) ).
tcf(c_395788,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_372499,c_393203]) ).
tcf(c_395789,plain,
( defined(codomain(d),domain(a))
| ~ identity_map(d)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_383255,c_393203]) ).
tcf(c_395790,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,domain(h))))
| ~ identity_map(d)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_383578,c_393203]) ).
tcf(c_395791,plain,
! [X0: $i] :
( defined(codomain(d),compose(domain(domain(h)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(h)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_393203]) ).
tcf(c_395792,plain,
( defined(codomain(d),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_383890,c_393203]) ).
tcf(c_395793,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_381388,c_393203]) ).
tcf(c_395829,plain,
( defined(codomain(d),domain(domain(g)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_393234]) ).
tcf(c_395830,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_389504,c_393234]) ).
tcf(c_395831,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355221,c_393234]) ).
tcf(c_395832,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(g),X0) ),
inference(superposition,[status(thm)],[c_355313,c_393234]) ).
tcf(c_395837,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_389126,c_393234]) ).
tcf(c_395850,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(g),a) ),
inference(superposition,[status(thm)],[c_391415,c_393234]) ).
tcf(c_395851,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(g),c) ),
inference(superposition,[status(thm)],[c_372499,c_393234]) ).
tcf(c_395858,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_377943,c_393234]) ).
tcf(c_395862,plain,
( defined(codomain(d),domain(a))
| ~ identity_map(d)
| ~ defined(domain(g),b) ),
inference(superposition,[status(thm)],[c_383255,c_393234]) ).
tcf(c_395863,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,domain(g))))
| ~ identity_map(d)
| ~ defined(X0,domain(g)) ),
inference(superposition,[status(thm)],[c_383578,c_393234]) ).
tcf(c_395864,plain,
! [X0: $i] :
( defined(codomain(d),compose(domain(domain(g)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(g)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_393234]) ).
tcf(c_395865,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(g)) ),
inference(superposition,[status(thm)],[c_381388,c_393234]) ).
tcf(c_395897,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_395099,c_81]) ).
tcf(c_395900,plain,
( defined(domain(g),h)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_371027]) ).
tcf(c_395901,plain,
( defined(domain(g),g)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_370988]) ).
tcf(c_395902,plain,
( defined(domain(g),d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_370040]) ).
tcf(c_395903,plain,
( defined(domain(g),a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_355308]) ).
tcf(c_395906,plain,
( defined(g,a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_356404]) ).
tcf(c_395913,plain,
( defined(h,c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_366093]) ).
tcf(c_395919,plain,
( defined(h,codomain(a))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395099,c_366589]) ).
tcf(c_395948,plain,
( ( compose(c,g) = domain(g) )
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_73,c_359526]) ).
tcf(c_395949,plain,
( ( domain(g) = g )
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_88,c_359526]) ).
tcf(c_395950,plain,
( ( domain(g) = c )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_89,c_359526]) ).
tcf(c_395951,plain,
! [X0: $i] :
( ( domain(g) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359505,c_359526]) ).
tcf(c_395952,plain,
( ( domain(g) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_359040,c_359526]) ).
tcf(c_395954,plain,
( ( compose(d,g) = domain(g) )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_359037,c_359526]) ).
tcf(c_395956,plain,
( ( domain(g) = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_359039,c_359526]) ).
tcf(c_395957,plain,
( ( domain(g) = codomain(c) )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_372100,c_359526]) ).
tcf(c_395961,plain,
( ( domain(g) = d )
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(light_normalisation,[status(thm)],[c_395948,c_356183]) ).
tcf(c_395975,plain,
( ( domain(g) = c )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395950,c_355193]) ).
tcf(c_395979,plain,
( ( domain(g) = g )
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395949,c_355193]) ).
tcf(c_396011,plain,
! [X0: $i] :
( defined(X0,domain(codomain(c)))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_84,c_393551]) ).
tcf(c_396013,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_393551]) ).
tcf(c_396014,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_393551]) ).
tcf(c_396018,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_355458,c_393551]) ).
tcf(c_396020,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(c)
| ~ defined(c,d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_359296,c_393551]) ).
tcf(c_396024,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_393551]) ).
tcf(c_396025,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_393551]) ).
tcf(c_396032,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_393551]) ).
tcf(c_396033,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(c))))
| ~ defined(X1,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_393551]) ).
tcf(c_396034,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(c)),X0))
| ~ defined(X1,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_393551]) ).
tcf(c_396035,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(c,X1))
| ~ defined(c,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387409,c_393551]) ).
tcf(c_396036,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387422,c_393551]) ).
tcf(c_396037,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_393551]) ).
tcf(c_396038,plain,
! [X0: $i] :
( defined(X0,domain(g))
| ~ identity_map(d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387433,c_393551]) ).
tcf(c_396097,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_395120,c_81]) ).
tcf(c_396100,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395120,c_371027]) ).
tcf(c_396101,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395120,c_370988]) ).
tcf(c_396102,plain,
( defined(domain(d),d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395120,c_370040]) ).
tcf(c_396103,plain,
( defined(domain(d),a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395120,c_355308]) ).
tcf(c_396116,plain,
( defined(d,a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395120,c_356404]) ).
tcf(c_396143,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_395143,c_81]) ).
tcf(c_396146,plain,
( defined(domain(h),h)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_371027]) ).
tcf(c_396147,plain,
( defined(domain(h),g)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_370988]) ).
tcf(c_396148,plain,
( defined(domain(h),d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_370040]) ).
tcf(c_396149,plain,
( defined(domain(h),a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_355308]) ).
tcf(c_396152,plain,
( defined(h,a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_356404]) ).
tcf(c_396159,plain,
( defined(g,c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_361374]) ).
tcf(c_396165,plain,
( defined(g,codomain(a))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395143,c_361645]) ).
tcf(c_396201,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_395164,c_81]) ).
tcf(c_396204,plain,
( defined(domain(d),h)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395164,c_371027]) ).
tcf(c_396205,plain,
( defined(domain(d),g)
| ~ identity_map(c)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395164,c_370988]) ).
tcf(c_396206,plain,
( defined(domain(d),d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395164,c_370040]) ).
tcf(c_396207,plain,
( defined(domain(d),a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395164,c_355308]) ).
tcf(c_396220,plain,
( defined(d,a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395164,c_356404]) ).
tcf(c_396252,plain,
( defined(g,domain(codomain(c)))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_84,c_393781]) ).
tcf(c_396254,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_393781]) ).
tcf(c_396255,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_393781]) ).
tcf(c_396259,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(d,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_393781]) ).
tcf(c_396261,plain,
( defined(g,c)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_393781]) ).
tcf(c_396262,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_393781]) ).
tcf(c_396263,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_393781]) ).
tcf(c_396265,plain,
( defined(g,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_393781]) ).
tcf(c_396266,plain,
( defined(g,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_393781]) ).
tcf(c_396273,plain,
( defined(g,domain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_393781]) ).
tcf(c_396274,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(c))))
| ~ defined(d,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_393781]) ).
tcf(c_396275,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(c)),X0))
| ~ defined(d,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_393781]) ).
tcf(c_396276,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_393781]) ).
tcf(c_396278,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_393781]) ).
tcf(c_396279,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387433,c_393781]) ).
tcf(c_396342,plain,
( defined(h,domain(codomain(c)))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_84,c_393810]) ).
tcf(c_396344,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_393810]) ).
tcf(c_396345,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_393810]) ).
tcf(c_396349,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(d,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_393810]) ).
tcf(c_396351,plain,
( defined(h,c)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_393810]) ).
tcf(c_396352,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_393810]) ).
tcf(c_396353,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_393810]) ).
tcf(c_396355,plain,
( defined(h,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_393810]) ).
tcf(c_396356,plain,
( defined(h,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_393810]) ).
tcf(c_396363,plain,
( defined(h,domain(a))
| ~ defined(d,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_393810]) ).
tcf(c_396364,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(c))))
| ~ defined(d,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_393810]) ).
tcf(c_396365,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(c)),X0))
| ~ defined(d,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_393810]) ).
tcf(c_396366,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_393810]) ).
tcf(c_396367,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_387422,c_393810]) ).
tcf(c_396368,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_393810]) ).
tcf(c_396430,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_395271,c_81]) ).
tcf(c_396431,plain,
( defined(c,domain(d))
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_395271,c_375534]) ).
tcf(c_396433,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_395271,c_366845]) ).
tcf(c_396435,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_395271,c_361818]) ).
tcf(c_396438,plain,
( defined(b,domain(d))
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_395271,c_356097]) ).
tcf(c_396439,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_395271,c_355510]) ).
tcf(c_396442,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_395271,c_393551]) ).
tcf(c_396444,plain,
( defined(c,domain(d))
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_395271,c_375699]) ).
tcf(c_396446,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_395271,c_366956]) ).
tcf(c_396448,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_395271,c_362442]) ).
tcf(c_396450,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_395271,c_358340]) ).
tcf(c_396451,plain,
( defined(b,domain(d))
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_395271,c_357955]) ).
tcf(c_396453,plain,
( defined(d,domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_395271,c_362280]) ).
tcf(c_396477,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_396430,c_82]) ).
tcf(c_396558,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_395792,c_81]) ).
tcf(c_396580,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_396558,c_82]) ).
tcf(c_396588,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ defined(h,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_395902,c_81]) ).
tcf(c_396605,plain,
( defined(h,d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395902,c_366093]) ).
tcf(c_396623,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(a)
| ~ defined(h,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_395903,c_81]) ).
tcf(c_396632,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395903,c_366174]) ).
tcf(c_396633,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395903,c_366140]) ).
tcf(c_396636,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395903,c_357235]) ).
tcf(c_396637,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395903,c_357136]) ).
tcf(c_396658,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(h,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_396102,c_81]) ).
tcf(c_396665,plain,
( defined(domain(h),d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_396102,c_385711]) ).
tcf(c_396707,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(h,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_396103,c_81]) ).
tcf(c_396712,plain,
( defined(domain(h),a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_396103,c_385711]) ).
tcf(c_396732,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(g,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_396148,c_81]) ).
tcf(c_396749,plain,
( defined(g,d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396148,c_361374]) ).
tcf(c_396770,plain,
! [X0: $i] :
( defined(d,domain(compose(g,X0)))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359621,c_389491]) ).
tcf(c_396772,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),d)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,compose(g,X1)) ),
inference(superposition,[status(thm)],[c_359621,c_358809]) ).
tcf(c_396773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(g,X3),X2)
| ~ identity_map(X3)
| ~ defined(g,X3)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359621,c_80]) ).
tcf(c_396774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ product(d,X1,X3)
| ~ product(compose(g,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359621,c_77]) ).
tcf(c_396775,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,compose(g,X2))
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359621,c_79]) ).
tcf(c_396776,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ product(c,compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_359621,c_90]) ).
tcf(c_396777,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359621,c_78]) ).
tcf(c_396778,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(d,X1)
| ~ product(compose(g,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_359621,c_76]) ).
tcf(c_396779,plain,
! [X0: $i,X1: $i] :
( defined(compose(g,X1),X0)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359621,c_75]) ).
tcf(c_396780,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359621,c_74]) ).
tcf(c_396781,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(g,X0,compose(g,X1)) ),
inference(superposition,[status(thm)],[c_359621,c_359380]) ).
tcf(c_396907,plain,
! [X0: $i] :
( defined(X0,domain(codomain(d)))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_84,c_394122]) ).
tcf(c_396909,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_394122]) ).
tcf(c_396910,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_394122]) ).
tcf(c_396916,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_359296,c_394122]) ).
tcf(c_396920,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_394122]) ).
tcf(c_396921,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_394122]) ).
tcf(c_396928,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_394122]) ).
tcf(c_396929,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(d))))
| ~ defined(X1,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_394122]) ).
tcf(c_396930,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(domain(codomain(d)),X0))
| ~ defined(X1,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_394122]) ).
tcf(c_396931,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_387409,c_394122]) ).
tcf(c_396935,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(d,X0)))
| ~ defined(X1,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_394122]) ).
tcf(c_397023,plain,
( product(compose(g,c),g,g)
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_73,c_394356]) ).
tcf(c_397024,plain,
( product(c,g,g)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_88,c_394356]) ).
tcf(c_397025,plain,
( product(g,g,g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_89,c_394356]) ).
tcf(c_397041,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(g,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_396149,c_81]) ).
tcf(c_397048,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396149,c_361396]) ).
tcf(c_397050,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396149,c_361385]) ).
tcf(c_397054,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396149,c_357187]) ).
tcf(c_397055,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396149,c_357016]) ).
tcf(c_397100,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(g,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_396206,c_81]) ).
tcf(c_397108,plain,
( defined(domain(g),d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396206,c_385667]) ).
tcf(c_397139,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(g,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_396207,c_81]) ).
tcf(c_397145,plain,
( defined(domain(g),a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_396207,c_385667]) ).
tcf(c_397185,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359623,c_389491]) ).
tcf(c_397187,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,X0),d)
| ~ identity_map(g)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(c,c,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359623,c_358809]) ).
tcf(c_397188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,X3,X2)
| ~ identity_map(g)
| ~ identity_map(X3)
| ~ defined(g,X3)
| ~ product(X0,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359623,c_80]) ).
tcf(c_397189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(c,X2,X3)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ product(d,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359623,c_77]) ).
tcf(c_397190,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(g)
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_359623,c_79]) ).
tcf(c_397191,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359623,c_90]) ).
tcf(c_397192,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_359623,c_78]) ).
tcf(c_397193,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(d,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_359623,c_76]) ).
tcf(c_397194,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(g)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_75]) ).
tcf(c_397195,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_359623,c_74]) ).
tcf(c_397197,plain,
( ( domain(g) = d )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_359623,c_359526]) ).
tcf(c_397200,plain,
( defined(d,b)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(g,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359623,c_355604]) ).
tcf(c_397201,plain,
( defined(d,g)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,domain(g)) ),
inference(superposition,[status(thm)],[c_359623,c_359525]) ).
tcf(c_397202,plain,
( defined(d,domain(d))
| ~ identity_map(g)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359623,c_359078]) ).
tcf(c_397203,plain,
! [X0: $i] :
( product(d,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_359076]) ).
tcf(c_397204,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(h,X0))
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_359623,c_358811]) ).
tcf(c_397205,plain,
( defined(d,domain(d))
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359623,c_358705]) ).
tcf(c_397206,plain,
! [X0: $i] :
( product(d,domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_358703]) ).
tcf(c_397207,plain,
( defined(d,compose(g,domain(d)))
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359623,c_358666]) ).
tcf(c_397208,plain,
! [X0: $i] :
( product(d,compose(g,domain(d)),X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_358664]) ).
tcf(c_397209,plain,
! [X0: $i] :
( product(d,g,X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_355715]) ).
tcf(c_397210,plain,
! [X0: $i] :
( product(d,h,X0)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359623,c_355714]) ).
tcf(c_397211,plain,
( defined(d,g)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359623,c_355606]) ).
tcf(c_397212,plain,
( defined(d,h)
| ~ identity_map(g)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359623,c_355605]) ).
tcf(c_397213,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(g)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_359623,c_359380]) ).
tcf(c_397214,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(g)
| ~ identity_map(compose(h,X0))
| ~ product(d,X0,X1)
| ~ defined(g,compose(h,X0)) ),
inference(superposition,[status(thm)],[c_359623,c_358812]) ).
tcf(c_397222,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,d)
| ~ identity_map(g)
| ~ identity_map(compose(d,X0))
| ~ product(c,c,X2)
| ~ product(g,X0,X1)
| ~ defined(g,compose(d,X0)) ),
inference(superposition,[status(thm)],[c_359623,c_359377]) ).
tcf(c_397223,plain,
! [X0: $i] :
( product(X0,g,d)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(domain(g))
| ~ defined(g,domain(g))
| ~ product(c,c,X0) ),
inference(superposition,[status(thm)],[c_359623,c_359523]) ).
tcf(c_397518,plain,
( defined(h,domain(codomain(d)))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_84,c_395050]) ).
tcf(c_397520,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395050]) ).
tcf(c_397521,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395050]) ).
tcf(c_397531,plain,
( defined(h,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395050]) ).
tcf(c_397532,plain,
( defined(h,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395050]) ).
tcf(c_397539,plain,
( defined(h,domain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395050]) ).
tcf(c_397540,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(d,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395050]) ).
tcf(c_397541,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(d)),X0))
| ~ defined(d,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395050]) ).
tcf(c_397542,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395050]) ).
tcf(c_397546,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(d,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395050]) ).
tcf(c_397674,plain,
( defined(g,domain(codomain(d)))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_84,c_395065]) ).
tcf(c_397676,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395065]) ).
tcf(c_397677,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(d,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395065]) ).
tcf(c_397687,plain,
( defined(g,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395065]) ).
tcf(c_397688,plain,
( defined(g,codomain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395065]) ).
tcf(c_397695,plain,
( defined(g,domain(a))
| ~ defined(d,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395065]) ).
tcf(c_397696,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(d,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395065]) ).
tcf(c_397697,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(d)),X0))
| ~ defined(d,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395065]) ).
tcf(c_397698,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(d,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395065]) ).
tcf(c_397702,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(d,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395065]) ).
tcf(c_397744,plain,
! [X0: $i] :
( defined(domain(X0),domain(a))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_357641,c_386207]) ).
tcf(c_397745,plain,
! [X0: $i] :
( defined(codomain(X0),domain(a))
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_357642,c_386207]) ).
tcf(c_397852,plain,
! [X0: $i] :
( defined(codomain(c),compose(d,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_387416]) ).
tcf(c_397870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,compose(X1,c)),h,X3)
| ~ defined(X1,c)
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_73,c_359910]) ).
tcf(c_397871,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),h,X2)
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ product(codomain(compose(X0,c)),X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_359910]) ).
tcf(c_397872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X1,c),h,X3)
| ~ identity_map(X0)
| ~ defined(X1,c)
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_88,c_359910]) ).
tcf(c_397873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,h,X3)
| ~ defined(X1,c)
| ~ identity_map(compose(X1,c))
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_89,c_359910]) ).
tcf(c_397874,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,h,X2)
| ~ identity_map(g)
| ~ defined(X0,c)
| ~ identity_map(compose(X0,c))
| ~ product(c,X1,X2)
| ~ product(X0,d,X1)
| ~ defined(g,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359623,c_359910]) ).
tcf(c_397875,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,h,X2)
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ identity_map(compose(X0,c))
| ~ product(c,X1,X2)
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359040,c_359910]) ).
tcf(c_397876,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,h,X1)
| ~ defined(h,c)
| ~ product(d,c,X2)
| ~ product(h,d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_358801,c_359910]) ).
tcf(c_397877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(d,X0),h,X3)
| ~ defined(X1,c)
| ~ product(c,X2,X3)
| ~ product(X1,d,X2)
| ~ product(g,X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_359369,c_359910]) ).
tcf(c_397878,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(d,compose(X0,c)),h,X2)
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ product(c,X1,X2)
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359037,c_359910]) ).
tcf(c_397879,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),h,X2)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ product(c,X1,X2)
| ~ product(X0,d,X1)
| ~ defined(g,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359504,c_359910]) ).
tcf(c_397880,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),h,X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ product(c,X1,X2)
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359039,c_359910]) ).
tcf(c_397881,plain,
! [X0: $i,X1: $i] :
( product(c,h,X1)
| ~ identity_map(d)
| ~ defined(g,c)
| ~ product(g,d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359502,c_359910]) ).
tcf(c_397882,plain,
! [X0: $i,X1: $i] :
( product(d,h,X1)
| ~ identity_map(c)
| ~ defined(g,c)
| ~ product(g,d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_359621,c_359910]) ).
tcf(c_397883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,h,X2)
| ~ defined(codomain(c),c)
| ~ product(X1,c,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_357831,c_359910]) ).
tcf(c_397903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,h,X2)
| ~ product(X1,c,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(c),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_397883,c_85]) ).
tcf(c_398086,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),X1)
| ~ defined(d,X0)
| ~ identity_map(compose(d,X0))
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_397852,c_81]) ).
tcf(c_398100,plain,
! [X0: $i] :
( defined(codomain(d),compose(d,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_390727]) ).
tcf(c_398101,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_375699]) ).
tcf(c_398102,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_367214]) ).
tcf(c_398103,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_366956]) ).
tcf(c_398104,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_362509]) ).
tcf(c_398105,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_362442]) ).
tcf(c_398106,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_358506]) ).
tcf(c_398107,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_397852,c_358340]) ).
tcf(c_398108,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_357955]) ).
tcf(c_398109,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_356796]) ).
tcf(c_398113,plain,
! [X0: $i,X1: $i] :
( defined(codomain(c),c)
| ~ defined(d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_397852,c_359381]) ).
tcf(c_398114,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ product(g,X1,X2)
| ~ product(codomain(c),c,X0) ),
inference(superposition,[status(thm)],[c_397852,c_359379]) ).
tcf(c_398204,plain,
( defined(c,domain(codomain(c)))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_84,c_395084]) ).
tcf(c_398206,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395084]) ).
tcf(c_398207,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395084]) ).
tcf(c_398211,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(b,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395084]) ).
tcf(c_398217,plain,
( defined(c,codomain(a))
| ~ defined(b,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395084]) ).
tcf(c_398218,plain,
( defined(c,codomain(a))
| ~ defined(b,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395084]) ).
tcf(c_398225,plain,
( defined(c,domain(a))
| ~ defined(b,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395084]) ).
tcf(c_398226,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(c))))
| ~ defined(b,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395084]) ).
tcf(c_398227,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(c)),X0))
| ~ defined(b,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395084]) ).
tcf(c_398228,plain,
! [X0: $i] :
( defined(c,compose(c,X0))
| ~ defined(b,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395084]) ).
tcf(c_398229,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395084]) ).
tcf(c_398230,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387422,c_395084]) ).
tcf(c_398231,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395084]) ).
tcf(c_398232,plain,
( defined(c,domain(d))
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_395271,c_395084]) ).
tcf(c_398233,plain,
( defined(c,domain(g))
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_387433,c_395084]) ).
tcf(c_398381,plain,
( defined(g,domain(codomain(c)))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_84,c_395105]) ).
tcf(c_398383,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395105]) ).
tcf(c_398384,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395105]) ).
tcf(c_398388,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(h,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395105]) ).
tcf(c_398390,plain,
( defined(g,c)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_395105]) ).
tcf(c_398391,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_395105]) ).
tcf(c_398392,plain,
( defined(g,a)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_395105]) ).
tcf(c_398394,plain,
( defined(g,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395105]) ).
tcf(c_398395,plain,
( defined(g,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395105]) ).
tcf(c_398402,plain,
( defined(g,domain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395105]) ).
tcf(c_398403,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(c))))
| ~ defined(h,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395105]) ).
tcf(c_398404,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(c)),X0))
| ~ defined(h,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395105]) ).
tcf(c_398405,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395105]) ).
tcf(c_398406,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395105]) ).
tcf(c_398408,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395105]) ).
tcf(c_398410,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_387433,c_395105]) ).
tcf(c_398552,plain,
! [X0: $i] :
( defined(domain(X0),codomain(c))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_357641,c_393244]) ).
tcf(c_398553,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(c))
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_357642,c_393244]) ).
tcf(c_398719,plain,
! [X0: $i] :
( defined(domain(X0),codomain(d))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_357641,c_393820]) ).
tcf(c_398720,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(d))
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_357642,c_393820]) ).
tcf(c_398763,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,c)
| ~ defined(X0,c)
| ~ product(h,b,X1)
| ~ product(X0,d,a) ),
inference(superposition,[status(thm)],[c_93,c_359911]) ).
tcf(c_398764,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_94,c_359911]) ).
tcf(c_398765,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_95,c_359911]) ).
tcf(c_398766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,compose(X1,X2))
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(h,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_359911]) ).
tcf(c_398767,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,X0)
| ~ defined(X2,c)
| ~ product(X2,d,X0)
| ~ product(h,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_359911]) ).
tcf(c_398768,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X2,X1)
| ~ defined(X0,c)
| ~ product(h,X1,X2)
| ~ product(X0,d,codomain(X1)) ),
inference(superposition,[status(thm)],[c_87,c_359911]) ).
tcf(c_398769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X2)
| ~ identity_map(X1)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(h,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_359911]) ).
tcf(c_398770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X1)
| ~ identity_map(X2)
| ~ defined(X0,c)
| ~ defined(X1,X2)
| ~ product(h,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_359911]) ).
tcf(c_398771,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_359273,c_359911]) ).
tcf(c_398772,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(g,X2)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_359505,c_359911]) ).
tcf(c_398773,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,d)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359623,c_359911]) ).
tcf(c_398774,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359040,c_359911]) ).
tcf(c_398775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X3,c),X1,X2)
| ~ defined(X3,c)
| ~ product(X3,d,c)
| ~ product(d,X0,X2)
| ~ product(h,compose(h,X0),X1) ),
inference(superposition,[status(thm)],[c_358801,c_359911]) ).
tcf(c_398776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X3,c),X1,compose(d,X2))
| ~ defined(X3,c)
| ~ product(X3,d,c)
| ~ product(g,X2,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359369,c_359911]) ).
tcf(c_398777,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X2,domain(X1))
| ~ defined(X0,c)
| ~ product(h,domain(X1),X2)
| ~ product(X0,d,domain(X1)) ),
inference(superposition,[status(thm)],[c_357696,c_359911]) ).
tcf(c_398778,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X2,codomain(X1))
| ~ defined(X0,c)
| ~ product(h,codomain(X1),X2)
| ~ product(X0,d,codomain(X1)) ),
inference(superposition,[status(thm)],[c_357726,c_359911]) ).
tcf(c_398779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X2)
| ~ defined(X1,c)
| ~ defined(X0,c)
| ~ product(h,h,X3)
| ~ product(X1,d,X2)
| ~ product(X0,d,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_358573,c_359911]) ).
tcf(c_398780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X2)
| ~ defined(X1,c)
| ~ defined(X0,c)
| ~ product(h,g,X3)
| ~ product(X1,d,X2)
| ~ product(X0,d,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_358636,c_359911]) ).
tcf(c_398781,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,domain(h))
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_361164,c_359911]) ).
tcf(c_398782,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,compose(d,X0))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359037,c_359911]) ).
tcf(c_398783,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(h)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(d),X0) ),
inference(superposition,[status(thm)],[c_359038,c_359911]) ).
tcf(c_398784,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(g)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(d),X0) ),
inference(superposition,[status(thm)],[c_358661,c_359911]) ).
tcf(c_398785,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359504,c_359911]) ).
tcf(c_398786,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_359039,c_359911]) ).
tcf(c_398787,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_358660,c_359911]) ).
tcf(c_398788,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,c),X1,compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_359271,c_359911]) ).
tcf(c_398789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X2)
| ~ defined(X0,c)
| ~ product(g,X1,c)
| ~ product(h,g,X3)
| ~ product(c,d,X2)
| ~ product(X0,d,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359388,c_359911]) ).
tcf(c_398790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,c),X3,X2)
| ~ defined(X0,c)
| ~ product(g,X1,c)
| ~ product(h,h,X3)
| ~ product(c,d,X2)
| ~ product(X0,d,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_359389,c_359911]) ).
tcf(c_398791,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,codomain(c))
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_370341,c_359911]) ).
tcf(c_398792,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,codomain(c))
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_372100,c_359911]) ).
tcf(c_398793,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,X0)
| ~ identity_map(d)
| ~ defined(g,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_359502,c_359911]) ).
tcf(c_398794,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,domain(g))
| ~ identity_map(d)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,c) ),
inference(superposition,[status(thm)],[c_359503,c_359911]) ).
tcf(c_398795,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,c),X1,d)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X2,c)
| ~ product(X2,d,c)
| ~ product(h,compose(g,X0),X1) ),
inference(superposition,[status(thm)],[c_359621,c_359911]) ).
tcf(c_398796,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,codomain(d)) ),
inference(superposition,[status(thm)],[c_360732,c_359911]) ).
tcf(c_398797,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ defined(X0,c)
| ~ product(h,d,X1)
| ~ product(X0,d,codomain(c)) ),
inference(superposition,[status(thm)],[c_369995,c_359911]) ).
tcf(c_398798,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,codomain(d)) ),
inference(superposition,[status(thm)],[c_362335,c_359911]) ).
tcf(c_398799,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,c)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(b),X0) ),
inference(superposition,[status(thm)],[c_371891,c_359911]) ).
tcf(c_398800,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,b)
| ~ defined(X0,c)
| ~ product(h,b,X1)
| ~ product(X0,d,domain(a)) ),
inference(superposition,[status(thm)],[c_383252,c_359911]) ).
tcf(c_398801,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ defined(X1,c)
| ~ product(X1,d,d)
| ~ product(h,domain(h),X0) ),
inference(superposition,[status(thm)],[c_361206,c_359911]) ).
tcf(c_398802,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,codomain(c)) ),
inference(superposition,[status(thm)],[c_370017,c_359911]) ).
tcf(c_398803,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,d)
| ~ identity_map(c)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,codomain(c)) ),
inference(superposition,[status(thm)],[c_370014,c_359911]) ).
tcf(c_398804,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(g)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(h),X0) ),
inference(superposition,[status(thm)],[c_363053,c_359911]) ).
tcf(c_398805,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(h)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(h),X0) ),
inference(superposition,[status(thm)],[c_361218,c_359911]) ).
tcf(c_398806,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ defined(X1,c)
| ~ product(X1,d,d)
| ~ product(h,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365804,c_359911]) ).
tcf(c_398807,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(g)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(g),X0) ),
inference(superposition,[status(thm)],[c_367417,c_359911]) ).
tcf(c_398808,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ identity_map(h)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,domain(g),X0) ),
inference(superposition,[status(thm)],[c_365816,c_359911]) ).
tcf(c_398809,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,d)
| ~ defined(X1,c)
| ~ product(X1,d,c)
| ~ product(h,compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_363052,c_359911]) ).
tcf(c_399607,plain,
( defined(d,domain(codomain(c)))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_84,c_395128]) ).
tcf(c_399609,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395128]) ).
tcf(c_399610,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395128]) ).
tcf(c_399614,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(h,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395128]) ).
tcf(c_399616,plain,
( defined(d,c)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_395128]) ).
tcf(c_399617,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_395128]) ).
tcf(c_399618,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(h,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_395128]) ).
tcf(c_399620,plain,
( defined(d,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395128]) ).
tcf(c_399621,plain,
( defined(d,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395128]) ).
tcf(c_399628,plain,
( defined(d,domain(a))
| ~ defined(h,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395128]) ).
tcf(c_399629,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(c))))
| ~ defined(h,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395128]) ).
tcf(c_399630,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(c)),X0))
| ~ defined(h,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395128]) ).
tcf(c_399631,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ defined(h,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395128]) ).
tcf(c_399632,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(h,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395128]) ).
tcf(c_399634,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395128]) ).
tcf(c_399635,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_395271,c_395128]) ).
tcf(c_399824,plain,
( defined(h,domain(codomain(c)))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_84,c_395149]) ).
tcf(c_399826,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395149]) ).
tcf(c_399827,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395149]) ).
tcf(c_399831,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(g,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395149]) ).
tcf(c_399833,plain,
( defined(h,c)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_395149]) ).
tcf(c_399834,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_395149]) ).
tcf(c_399835,plain,
( defined(h,a)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_395149]) ).
tcf(c_399837,plain,
( defined(h,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395149]) ).
tcf(c_399838,plain,
( defined(h,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395149]) ).
tcf(c_399845,plain,
( defined(h,domain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395149]) ).
tcf(c_399846,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(c))))
| ~ defined(g,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395149]) ).
tcf(c_399847,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(c)),X0))
| ~ defined(g,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395149]) ).
tcf(c_399848,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395149]) ).
tcf(c_399849,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395149]) ).
tcf(c_399850,plain,
( defined(h,domain(h))
| ~ identity_map(d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_387422,c_395149]) ).
tcf(c_399851,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395149]) ).
tcf(c_400019,plain,
( ( domain(b) = codomain(c) )
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370881,c_371479]) ).
tcf(c_400032,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370881,c_371482]) ).
tcf(c_400056,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,compose(X1,c)),h)
| ~ defined(X1,c)
| ~ defined(X0,X2)
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_73,c_359912]) ).
tcf(c_400058,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X1,c),h)
| ~ identity_map(X0)
| ~ defined(X1,c)
| ~ defined(X0,X2)
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_88,c_359912]) ).
tcf(c_400059,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,h)
| ~ defined(X1,c)
| ~ defined(X0,X2)
| ~ identity_map(compose(X1,c))
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_89,c_359912]) ).
tcf(c_400060,plain,
! [X0: $i,X1: $i] :
( defined(d,h)
| ~ identity_map(g)
| ~ defined(c,X1)
| ~ defined(X0,c)
| ~ identity_map(compose(X0,c))
| ~ product(X0,d,X1)
| ~ defined(g,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359623,c_359912]) ).
tcf(c_400061,plain,
! [X0: $i,X1: $i] :
( defined(d,h)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ defined(X0,c)
| ~ identity_map(compose(X0,c))
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359040,c_359912]) ).
tcf(c_400062,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(h,c)
| ~ defined(c,X0)
| ~ product(d,c,X1)
| ~ product(h,d,X0) ),
inference(superposition,[status(thm)],[c_358801,c_359912]) ).
tcf(c_400063,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(d,X0),h)
| ~ defined(c,X2)
| ~ defined(X1,c)
| ~ product(X1,d,X2)
| ~ product(g,X0,compose(X1,c)) ),
inference(superposition,[status(thm)],[c_359369,c_359912]) ).
tcf(c_400064,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,compose(X0,c)),h)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359037,c_359912]) ).
tcf(c_400065,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),h)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(c,X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ defined(g,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359504,c_359912]) ).
tcf(c_400066,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),h)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ defined(d,compose(X0,c)) ),
inference(superposition,[status(thm)],[c_359039,c_359912]) ).
tcf(c_400069,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,h)
| ~ defined(X1,X0)
| ~ defined(codomain(c),c)
| ~ product(X1,c,X2)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_357831,c_359912]) ).
tcf(c_400075,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,h)
| ~ defined(X1,X0)
| ~ product(X1,c,X2)
| ~ product(codomain(c),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_400069,c_85]) ).
tcf(c_400232,plain,
( defined(d,domain(codomain(c)))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_84,c_395172]) ).
tcf(c_400234,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395172]) ).
tcf(c_400235,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395172]) ).
tcf(c_400239,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(g,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395172]) ).
tcf(c_400241,plain,
( defined(d,c)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359296,c_395172]) ).
tcf(c_400242,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_359295,c_395172]) ).
tcf(c_400243,plain,
( defined(d,a)
| ~ identity_map(c)
| ~ defined(g,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_359294,c_395172]) ).
tcf(c_400245,plain,
( defined(d,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395172]) ).
tcf(c_400246,plain,
( defined(d,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395172]) ).
tcf(c_400253,plain,
( defined(d,domain(a))
| ~ defined(g,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395172]) ).
tcf(c_400254,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(c))))
| ~ defined(g,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395172]) ).
tcf(c_400255,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(c)),X0))
| ~ defined(g,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395172]) ).
tcf(c_400256,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ defined(g,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395172]) ).
tcf(c_400257,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(g,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395172]) ).
tcf(c_400259,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395172]) ).
tcf(c_400260,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_395271,c_395172]) ).
tcf(c_400655,plain,
( defined(c,domain(codomain(d)))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_84,c_395185]) ).
tcf(c_400657,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395185]) ).
tcf(c_400658,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395185]) ).
tcf(c_400664,plain,
( defined(c,c)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_359296,c_395185]) ).
tcf(c_400665,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_359295,c_395185]) ).
tcf(c_400666,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_359294,c_395185]) ).
tcf(c_400668,plain,
( defined(c,codomain(a))
| ~ defined(b,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395185]) ).
tcf(c_400669,plain,
( defined(c,codomain(a))
| ~ defined(b,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395185]) ).
tcf(c_400676,plain,
( defined(c,domain(a))
| ~ defined(b,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395185]) ).
tcf(c_400677,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(b,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395185]) ).
tcf(c_400678,plain,
! [X0: $i] :
( defined(c,compose(domain(codomain(d)),X0))
| ~ defined(b,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395185]) ).
tcf(c_400683,plain,
! [X0: $i] :
( defined(c,domain(compose(d,X0)))
| ~ defined(b,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395185]) ).
tcf(c_400796,plain,
codomain(domain(c)) = domain(b),
inference(superposition,[status(thm)],[c_84,c_371505]) ).
tcf(c_400797,plain,
! [X0: $i] :
( ( codomain(domain(X0)) = domain(b) )
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_389504,c_371505]) ).
tcf(c_400798,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355313,c_371505]) ).
tcf(c_400799,plain,
domain(b) = codomain(h),
inference(superposition,[status(thm)],[c_355192,c_371505]) ).
tcf(c_400800,plain,
domain(b) = codomain(g),
inference(superposition,[status(thm)],[c_355193,c_371505]) ).
tcf(c_400804,plain,
! [X0: $i] :
( ( codomain(compose(h,X0)) = domain(b) )
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359120,c_371505]) ).
tcf(c_400805,plain,
! [X0: $i] :
( ( codomain(compose(h,X0)) = domain(b) )
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355559,c_371505]) ).
tcf(c_400806,plain,
! [X0: $i] :
( ( codomain(compose(g,X0)) = domain(b) )
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355929,c_371505]) ).
tcf(c_400810,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_370160,c_371505]) ).
tcf(c_400811,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_370159,c_371505]) ).
tcf(c_400812,plain,
( ( domain(b) = codomain(d) )
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_373558,c_371505]) ).
tcf(c_400813,plain,
( ( codomain(domain(h)) = domain(b) )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_361242,c_371505]) ).
tcf(c_400814,plain,
( ( codomain(domain(h)) = domain(b) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356889,c_371505]) ).
tcf(c_400815,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_374208,c_371505]) ).
tcf(c_400816,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ identity_map(g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361802,c_371505]) ).
tcf(c_400817,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_357047,c_371505]) ).
tcf(c_400818,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_357045,c_371505]) ).
tcf(c_400819,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_356892,c_371505]) ).
tcf(c_400820,plain,
! [X0: $i] :
( ( codomain(codomain(X0)) = domain(b) )
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_356890,c_371505]) ).
tcf(c_400821,plain,
( ( codomain(domain(d)) = domain(b) )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357046,c_371505]) ).
tcf(c_400822,plain,
( ( codomain(domain(d)) = domain(b) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_356891,c_371505]) ).
tcf(c_400823,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_374251,c_371505]) ).
tcf(c_400824,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_374250,c_371505]) ).
tcf(c_400825,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_362407,c_371505]) ).
tcf(c_400826,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_362306,c_371505]) ).
tcf(c_400827,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_358476,c_371505]) ).
tcf(c_400828,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358427,c_371505]) ).
tcf(c_400829,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_358113,c_371505]) ).
tcf(c_400830,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_358111,c_371505]) ).
tcf(c_400831,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_358013,c_371505]) ).
tcf(c_400832,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_358011,c_371505]) ).
tcf(c_400833,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356894,c_371505]) ).
tcf(c_400834,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_356893,c_371505]) ).
tcf(c_400835,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362256,c_371505]) ).
tcf(c_400836,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360580,c_371505]) ).
tcf(c_400837,plain,
( ( codomain(domain(g)) = domain(b) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_365889,c_371505]) ).
tcf(c_400838,plain,
( ( codomain(domain(g)) = domain(b) )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_357044,c_371505]) ).
tcf(c_400839,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391424,c_371505]) ).
tcf(c_400840,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_374252,c_371505]) ).
tcf(c_400841,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_358499,c_371505]) ).
tcf(c_400842,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_358303,c_371505]) ).
tcf(c_400843,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_358301,c_371505]) ).
tcf(c_400844,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_356904,c_371505]) ).
tcf(c_400845,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_362120,c_371505]) ).
tcf(c_400846,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_360537,c_371505]) ).
tcf(c_400847,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_357967,c_371505]) ).
tcf(c_400848,plain,
( ( codomain(codomain(a)) = domain(b) )
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357966,c_371505]) ).
tcf(c_400849,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391399,c_371505]) ).
tcf(c_400850,plain,
( ( codomain(codomain(c)) = domain(b) )
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_357968,c_371505]) ).
tcf(c_400851,plain,
( ( codomain(domain(a)) = domain(b) )
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383216,c_371505]) ).
tcf(c_400852,plain,
codomain(compose(g,domain(d))) = domain(b),
inference(superposition,[status(thm)],[c_358671,c_371505]) ).
tcf(c_400853,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_391415,c_371505]) ).
tcf(c_400854,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_372499,c_371505]) ).
tcf(c_400856,plain,
codomain(compose(h,domain(d))) = domain(b),
inference(superposition,[status(thm)],[c_359121,c_371505]) ).
tcf(c_400857,plain,
( ( codomain(domain(a)) = domain(b) )
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383255,c_371505]) ).
tcf(c_400858,plain,
! [X0: $i] :
( ( codomain(domain(compose(X0,c))) = domain(b) )
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_383578,c_371505]) ).
tcf(c_400859,plain,
! [X0: $i] :
( ( codomain(compose(domain(c),X0)) = domain(b) )
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_384636,c_371505]) ).
tcf(c_400860,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_391443,c_371505]) ).
tcf(c_400861,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_374564,c_371505]) ).
tcf(c_400862,plain,
! [X0: $i] :
( ( codomain(domain(compose(d,X0))) = domain(b) )
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_381388,c_371505]) ).
tcf(c_400863,plain,
codomain(compose(h,domain(g))) = domain(b),
inference(superposition,[status(thm)],[c_365815,c_371505]) ).
tcf(c_400864,plain,
codomain(compose(g,domain(h))) = domain(b),
inference(superposition,[status(thm)],[c_363063,c_371505]) ).
tcf(c_400938,plain,
! [X0: $i] :
( ( codomain(compose(domain(b),X0)) = domain(b) )
| ~ defined(domain(b),X0) ),
inference(light_normalisation,[status(thm)],[c_400859,c_371446]) ).
tcf(c_400988,plain,
! [X0: $i] :
( ( domain(X0) = domain(b) )
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(light_normalisation,[status(thm)],[c_400797,c_357840]) ).
tcf(c_401345,plain,
! [X0: $i] :
( defined(domain(b),compose(h,X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_400799,c_387409]) ).
tcf(c_401346,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_375534]) ).
tcf(c_401347,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_366978]) ).
tcf(c_401348,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_366845]) ).
tcf(c_401349,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_362459]) ).
tcf(c_401351,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_361818]) ).
tcf(c_401353,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_400799,c_361800]) ).
tcf(c_401354,plain,
( defined(h,domain(b))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_400799,c_366746]) ).
tcf(c_401355,plain,
( defined(d,domain(b))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_400799,c_366183]) ).
tcf(c_401357,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_400799,c_359295]) ).
tcf(c_401358,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_400799,c_359294]) ).
tcf(c_401359,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_400799,c_357533]) ).
tcf(c_401360,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_400799,c_357531]) ).
tcf(c_401361,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_400799,c_357433]) ).
tcf(c_401362,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_400799,c_357431]) ).
tcf(c_401363,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_356115]) ).
tcf(c_401364,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_356106]) ).
tcf(c_401367,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_356097]) ).
tcf(c_401368,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400799,c_355510]) ).
tcf(c_401373,plain,
( defined(g,domain(b))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_400799,c_361697]) ).
tcf(c_401374,plain,
( defined(d,domain(b))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_400799,c_361405]) ).
tcf(c_401375,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_400799,c_355338]) ).
tcf(c_401378,plain,
compose(domain(b),h) = h,
inference(superposition,[status(thm)],[c_400799,c_357831]) ).
tcf(c_401379,plain,
! [X0: $i] :
( ( X0 = h )
| ~ product(domain(b),h,X0) ),
inference(superposition,[status(thm)],[c_400799,c_355388]) ).
tcf(c_401383,plain,
( defined(h,domain(b))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_400799,c_355503]) ).
tcf(c_401384,plain,
( defined(g,domain(b))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_400799,c_355502]) ).
tcf(c_401385,plain,
( defined(b,domain(b))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_400799,c_355501]) ).
tcf(c_401386,plain,
product(domain(b),h,h),
inference(superposition,[status(thm)],[c_400799,c_87]) ).
tcf(c_401387,plain,
defined(domain(b),h),
inference(superposition,[status(thm)],[c_400799,c_85]) ).
tcf(c_401389,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_400799,c_355313]) ).
tcf(c_401509,plain,
defined(b,codomain(h)),
inference(superposition,[status(thm)],[c_401387,c_355774]) ).
tcf(c_401511,plain,
defined(c,codomain(h)),
inference(superposition,[status(thm)],[c_401387,c_371875]) ).
tcf(c_401516,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,h)
| ~ defined(X0,c)
| ~ product(h,h,X1)
| ~ product(X0,d,domain(b)) ),
inference(superposition,[status(thm)],[c_401386,c_359911]) ).
tcf(c_401518,plain,
defined(codomain(domain(b)),h),
inference(superposition,[status(thm)],[c_401386,c_387400]) ).
tcf(c_401519,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),h)
| ~ product(d,X1,h)
| ~ product(domain(b),c,X0) ),
inference(superposition,[status(thm)],[c_401386,c_358809]) ).
tcf(c_401520,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,h,X2)
| ~ product(X0,h,X2)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401386,c_80]) ).
tcf(c_401521,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(h,X0,X2)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_401386,c_77]) ).
tcf(c_401522,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(X0,h)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401386,c_79]) ).
tcf(c_401525,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(h,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_401386,c_76]) ).
tcf(c_401560,plain,
! [X0: $i] :
( defined(domain(b),compose(g,X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_400800,c_387409]) ).
tcf(c_401561,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_375534]) ).
tcf(c_401562,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_366978]) ).
tcf(c_401563,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(g,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_366845]) ).
tcf(c_401564,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_362459]) ).
tcf(c_401566,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(h,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_361818]) ).
tcf(c_401568,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_400800,c_361800]) ).
tcf(c_401569,plain,
( defined(h,domain(b))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_400800,c_366746]) ).
tcf(c_401570,plain,
( defined(d,domain(b))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_400800,c_366183]) ).
tcf(c_401572,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_400800,c_359295]) ).
tcf(c_401573,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_400800,c_359294]) ).
tcf(c_401574,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_400800,c_357533]) ).
tcf(c_401575,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_400800,c_357531]) ).
tcf(c_401576,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_400800,c_357433]) ).
tcf(c_401577,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_400800,c_357431]) ).
tcf(c_401578,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_356115]) ).
tcf(c_401579,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_356106]) ).
tcf(c_401582,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_356097]) ).
tcf(c_401583,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_400800,c_355510]) ).
tcf(c_401588,plain,
( defined(g,domain(b))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_400800,c_361697]) ).
tcf(c_401589,plain,
( defined(d,domain(b))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_400800,c_361405]) ).
tcf(c_401590,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_400800,c_355338]) ).
tcf(c_401593,plain,
compose(domain(b),g) = g,
inference(superposition,[status(thm)],[c_400800,c_357831]) ).
tcf(c_401594,plain,
! [X0: $i] :
( ( X0 = g )
| ~ product(domain(b),g,X0) ),
inference(superposition,[status(thm)],[c_400800,c_355388]) ).
tcf(c_401598,plain,
( defined(h,domain(b))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_400800,c_355503]) ).
tcf(c_401599,plain,
( defined(g,domain(b))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_400800,c_355502]) ).
tcf(c_401600,plain,
( defined(b,domain(b))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_400800,c_355501]) ).
tcf(c_401601,plain,
product(domain(b),g,g),
inference(superposition,[status(thm)],[c_400800,c_87]) ).
tcf(c_401602,plain,
defined(domain(b),g),
inference(superposition,[status(thm)],[c_400800,c_85]) ).
tcf(c_401604,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_400800,c_355313]) ).
tcf(c_402038,plain,
defined(b,codomain(g)),
inference(superposition,[status(thm)],[c_401602,c_355774]) ).
tcf(c_402040,plain,
defined(c,codomain(g)),
inference(superposition,[status(thm)],[c_401602,c_371875]) ).
tcf(c_402045,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,c),X1,g)
| ~ defined(X0,c)
| ~ product(h,g,X1)
| ~ product(X0,d,domain(b)) ),
inference(superposition,[status(thm)],[c_401601,c_359911]) ).
tcf(c_402047,plain,
defined(codomain(domain(b)),g),
inference(superposition,[status(thm)],[c_401601,c_387400]) ).
tcf(c_402048,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(h,X1),g)
| ~ product(d,X1,g)
| ~ product(domain(b),c,X0) ),
inference(superposition,[status(thm)],[c_401601,c_358809]) ).
tcf(c_402049,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,g,X2)
| ~ product(X0,g,X2)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401601,c_80]) ).
tcf(c_402050,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(g,X0,X2)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_401601,c_77]) ).
tcf(c_402051,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(X0,g)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401601,c_79]) ).
tcf(c_402054,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(g,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_401601,c_76]) ).
tcf(c_402132,plain,
! [X0: $i] :
( defined(domain(b),compose(compose(g,domain(d)),X0))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400852,c_387409]) ).
tcf(c_402134,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_366978]) ).
tcf(c_402135,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_366845]) ).
tcf(c_402136,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_362459]) ).
tcf(c_402138,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_361818]) ).
tcf(c_402140,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_361800]) ).
tcf(c_402141,plain,
( defined(h,domain(b))
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_366746]) ).
tcf(c_402142,plain,
( defined(d,domain(b))
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_366183]) ).
tcf(c_402143,plain,
( defined(domain(b),c)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_400852,c_359296]) ).
tcf(c_402144,plain,
( defined(domain(b),a)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),d) ),
inference(superposition,[status(thm)],[c_400852,c_359295]) ).
tcf(c_402145,plain,
( defined(domain(b),a)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),c) ),
inference(superposition,[status(thm)],[c_400852,c_359294]) ).
tcf(c_402146,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_357533]) ).
tcf(c_402147,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_357531]) ).
tcf(c_402148,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_357433]) ).
tcf(c_402149,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_357431]) ).
tcf(c_402150,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_356115]) ).
tcf(c_402151,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_356106]) ).
tcf(c_402154,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(b),X0)
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_356097]) ).
tcf(c_402155,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(b),X1)
| ~ defined(X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_355510]) ).
tcf(c_402160,plain,
( defined(g,domain(b))
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_361697]) ).
tcf(c_402161,plain,
( defined(d,domain(b))
| ~ defined(h,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_361405]) ).
tcf(c_402162,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(compose(g,domain(d)))
| ~ defined(compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400852,c_355338]) ).
tcf(c_402165,plain,
compose(domain(b),compose(g,domain(d))) = compose(g,domain(d)),
inference(superposition,[status(thm)],[c_400852,c_357831]) ).
tcf(c_402166,plain,
! [X0: $i] :
( ( compose(g,domain(d)) = X0 )
| ~ product(domain(b),compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400852,c_355388]) ).
tcf(c_402170,plain,
( defined(h,domain(b))
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_355503]) ).
tcf(c_402171,plain,
( defined(g,domain(b))
| ~ defined(d,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_355502]) ).
tcf(c_402172,plain,
( defined(b,domain(b))
| ~ defined(c,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_355501]) ).
tcf(c_402173,plain,
product(domain(b),compose(g,domain(d)),compose(g,domain(d))),
inference(superposition,[status(thm)],[c_400852,c_87]) ).
tcf(c_402174,plain,
defined(domain(b),compose(g,domain(d))),
inference(superposition,[status(thm)],[c_400852,c_85]) ).
tcf(c_402176,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_400852,c_355313]) ).
tcf(c_402372,plain,
defined(b,codomain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_402174,c_355774]) ).
tcf(c_402375,plain,
defined(c,codomain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_402174,c_371875]) ).
tcf(c_402380,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,compose(g,domain(d)))
| ~ defined(X1,c)
| ~ product(X1,d,domain(b))
| ~ product(h,compose(g,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_402173,c_359911]) ).
tcf(c_402381,plain,
defined(compose(g,domain(d)),domain(compose(g,domain(d)))),
inference(superposition,[status(thm)],[c_402173,c_389491]) ).
tcf(c_402382,plain,
defined(codomain(domain(b)),compose(g,domain(d))),
inference(superposition,[status(thm)],[c_402173,c_387400]) ).
tcf(c_402383,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),compose(g,domain(d)))
| ~ product(domain(b),c,X1)
| ~ product(d,X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_402173,c_358809]) ).
tcf(c_402384,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(g,domain(d)),X1)
| ~ product(X0,domain(b),X2)
| ~ product(X0,compose(g,domain(d)),X1) ),
inference(superposition,[status(thm)],[c_402173,c_80]) ).
tcf(c_402385,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(compose(g,domain(d)),X0,X2)
| ~ product(compose(g,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_402173,c_77]) ).
tcf(c_402386,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(d)))
| ~ product(X0,domain(b),X1)
| ~ defined(X0,compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_402173,c_79]) ).
tcf(c_402389,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(compose(g,domain(d)),X0)
| ~ product(compose(g,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_402173,c_76]) ).
tcf(c_402476,plain,
( defined(d,domain(codomain(d)))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_84,c_395624]) ).
tcf(c_402478,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395624]) ).
tcf(c_402479,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395624]) ).
tcf(c_402489,plain,
( defined(d,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395624]) ).
tcf(c_402490,plain,
( defined(d,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395624]) ).
tcf(c_402497,plain,
( defined(d,domain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395624]) ).
tcf(c_402498,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(h,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395624]) ).
tcf(c_402499,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(d)),X0))
| ~ defined(h,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395624]) ).
tcf(c_402504,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(h,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395624]) ).
tcf(c_402606,plain,
( defined(codomain(h),domain(b))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_401378,c_388776]) ).
tcf(c_402607,plain,
( defined(codomain(domain(b)),h)
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_401378,c_387409]) ).
tcf(c_402608,plain,
( defined(h,domain(h))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_401378,c_383578]) ).
tcf(c_402614,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),h) ),
inference(light_normalisation,[status(thm)],[c_402606,c_400799]) ).
tcf(c_402616,plain,
( defined(codomain(g),domain(b))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_401593,c_388776]) ).
tcf(c_402617,plain,
( defined(codomain(domain(b)),g)
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_401593,c_387409]) ).
tcf(c_402618,plain,
( defined(g,domain(g))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_401593,c_383578]) ).
tcf(c_402624,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),g) ),
inference(light_normalisation,[status(thm)],[c_402616,c_400800]) ).
tcf(c_402629,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(b))
| ~ defined(g,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401354,c_81]) ).
tcf(c_402632,plain,
( defined(g,domain(b))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401354,c_361637]) ).
tcf(c_402634,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401354,c_355343]) ).
tcf(c_402643,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(b))
| ~ defined(g,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401355,c_81]) ).
tcf(c_402655,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(b))
| ~ defined(h,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401373,c_81]) ).
tcf(c_402658,plain,
( defined(h,domain(b))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_401373,c_366580]) ).
tcf(c_402669,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(b))
| ~ defined(h,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401374,c_81]) ).
tcf(c_402681,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(b))
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401383,c_81]) ).
tcf(c_402685,plain,
( defined(d,domain(b))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_401383,c_361317]) ).
tcf(c_402695,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(b))
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401384,c_81]) ).
tcf(c_402707,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(b))
| ~ defined(X1,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401389,c_81]) ).
tcf(c_402708,plain,
! [X0: $i] :
( defined(X0,codomain(domain(b)))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_355774]) ).
tcf(c_402709,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_355370]) ).
tcf(c_402711,plain,
! [X0: $i] :
( defined(h,domain(b))
| ~ defined(g,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_366978]) ).
tcf(c_402712,plain,
! [X0: $i] :
( defined(d,domain(b))
| ~ defined(g,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_366845]) ).
tcf(c_402713,plain,
! [X0: $i] :
( defined(g,domain(b))
| ~ defined(h,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_362459]) ).
tcf(c_402714,plain,
! [X0: $i] :
( defined(d,domain(b))
| ~ defined(h,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_361818]) ).
tcf(c_402715,plain,
! [X0: $i] :
( defined(h,domain(b))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_356115]) ).
tcf(c_402716,plain,
! [X0: $i] :
( defined(g,domain(b))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_356106]) ).
tcf(c_402717,plain,
! [X0: $i] :
( defined(b,domain(b))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_356097]) ).
tcf(c_402718,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_355510]) ).
tcf(c_402719,plain,
( ( codomain(domain(b)) = domain(b) )
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_401389,c_371505]) ).
tcf(c_402743,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),h) ),
inference(superposition,[status(thm)],[c_401389,c_355220]) ).
tcf(c_402744,plain,
( ( codomain(domain(b)) = domain(a) )
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_401389,c_371102]) ).
tcf(c_402745,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(domain(b))
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_401389,c_358206]) ).
tcf(c_402746,plain,
( defined(domain(h),domain(b))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_385711]) ).
tcf(c_402747,plain,
( defined(domain(g),domain(b))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_385667]) ).
tcf(c_402748,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_357261]) ).
tcf(c_402749,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_357248]) ).
tcf(c_402752,plain,
( defined(g,codomain(domain(b)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_355917]) ).
tcf(c_402753,plain,
( defined(h,codomain(domain(b)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_355524]) ).
tcf(c_402754,plain,
( defined(g,domain(b))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_355449]) ).
tcf(c_402755,plain,
( defined(h,domain(b))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_355364]) ).
tcf(c_402756,plain,
( defined(d,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_395172]) ).
tcf(c_402757,plain,
( defined(h,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_395149]) ).
tcf(c_402758,plain,
( defined(d,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_395128]) ).
tcf(c_402759,plain,
( defined(g,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_395105]) ).
tcf(c_402761,plain,
( defined(h,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_393810]) ).
tcf(c_402762,plain,
( defined(g,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_393781]) ).
tcf(c_402763,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_393551]) ).
tcf(c_402764,plain,
( defined(codomain(d),domain(b))
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_390727]) ).
tcf(c_402766,plain,
( defined(h,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_367214]) ).
tcf(c_402767,plain,
( defined(d,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_366956]) ).
tcf(c_402768,plain,
( defined(g,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_362509]) ).
tcf(c_402769,plain,
( defined(d,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_362442]) ).
tcf(c_402770,plain,
( defined(g,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_358506]) ).
tcf(c_402771,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_358340]) ).
tcf(c_402772,plain,
( defined(b,domain(b))
| ~ defined(c,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_357955]) ).
tcf(c_402773,plain,
( defined(h,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_356796]) ).
tcf(c_402774,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_362280]) ).
tcf(c_402775,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_362129]) ).
tcf(c_402776,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_360544]) ).
tcf(c_402777,plain,
( defined(d,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395624]) ).
tcf(c_402779,plain,
( defined(g,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395065]) ).
tcf(c_402780,plain,
( defined(h,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395050]) ).
tcf(c_402781,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_394122]) ).
tcf(c_402783,plain,
( defined(b,domain(b))
| ~ defined(c,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375716]) ).
tcf(c_402784,plain,
( defined(d,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375256]) ).
tcf(c_402785,plain,
( defined(h,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375241]) ).
tcf(c_402786,plain,
( defined(d,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375224]) ).
tcf(c_402787,plain,
( defined(g,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375209]) ).
tcf(c_402788,plain,
( defined(h,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375192]) ).
tcf(c_402789,plain,
( defined(g,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_375177]) ).
tcf(c_402790,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,c)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_374786]) ).
tcf(c_402791,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_372302]) ).
tcf(c_402792,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_372287]) ).
tcf(c_402793,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_372264]) ).
tcf(c_402794,plain,
( defined(c,codomain(domain(b)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_401389,c_371875]) ).
tcf(c_402797,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_393203]) ).
tcf(c_402798,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_391161]) ).
tcf(c_402800,plain,
( defined(g,codomain(domain(b)))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_361638]) ).
tcf(c_402801,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_361385]) ).
tcf(c_402802,plain,
( defined(d,codomain(domain(b)))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_361318]) ).
tcf(c_402803,plain,
( defined(g,domain(b))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_361374]) ).
tcf(c_402804,plain,
( defined(d,domain(b))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_361250]) ).
tcf(c_402805,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_401389,c_357187]) ).
tcf(c_402807,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_393234]) ).
tcf(c_402808,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_391213]) ).
tcf(c_402809,plain,
( defined(h,codomain(domain(b)))
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_366581]) ).
tcf(c_402810,plain,
( defined(d,codomain(domain(b)))
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_366011]) ).
tcf(c_402812,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_366140]) ).
tcf(c_402813,plain,
( defined(h,domain(b))
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_366093]) ).
tcf(c_402814,plain,
( defined(d,domain(b))
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_365897]) ).
tcf(c_402815,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(g),h) ),
inference(superposition,[status(thm)],[c_401389,c_357235]) ).
tcf(c_402817,plain,
( defined(codomain(d),domain(b))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_391110]) ).
tcf(c_402820,plain,
( defined(h,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_367199]) ).
tcf(c_402821,plain,
( defined(h,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_367184]) ).
tcf(c_402822,plain,
( defined(d,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_366913]) ).
tcf(c_402823,plain,
( defined(d,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_366890]) ).
tcf(c_402824,plain,
( defined(g,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362494]) ).
tcf(c_402825,plain,
( defined(g,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362471]) ).
tcf(c_402826,plain,
( defined(d,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362419]) ).
tcf(c_402827,plain,
( defined(d,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362318]) ).
tcf(c_402828,plain,
( defined(g,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_358483]) ).
tcf(c_402829,plain,
( defined(g,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_358434]) ).
tcf(c_402830,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_358150]) ).
tcf(c_402831,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_358050]) ).
tcf(c_402832,plain,
( defined(b,domain(b))
| ~ defined(c,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_357942]) ).
tcf(c_402833,plain,
( defined(b,domain(b))
| ~ defined(c,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_357929]) ).
tcf(c_402834,plain,
( defined(h,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_356787]) ).
tcf(c_402835,plain,
( defined(h,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_356743]) ).
tcf(c_402836,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362295]) ).
tcf(c_402837,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_362265]) ).
tcf(c_402838,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_401389,c_360587]) ).
tcf(c_402839,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),h) ),
inference(superposition,[status(thm)],[c_401389,c_359383]) ).
tcf(c_402840,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),h)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401389,c_359382]) ).
tcf(c_402841,plain,
( defined(h,domain(b))
| ~ defined(domain(compose(g,domain(d))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390804]) ).
tcf(c_402842,plain,
( defined(g,domain(b))
| ~ defined(domain(compose(g,domain(d))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390782]) ).
tcf(c_402843,plain,
( defined(d,domain(b))
| ~ defined(domain(compose(g,domain(d))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390746]) ).
tcf(c_402844,plain,
( defined(h,domain(b))
| ~ defined(domain(compose(g,domain(h))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390824]) ).
tcf(c_402845,plain,
( defined(g,domain(b))
| ~ defined(domain(compose(g,domain(h))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390814]) ).
tcf(c_402846,plain,
( defined(d,domain(b))
| ~ defined(domain(compose(g,domain(h))),h) ),
inference(superposition,[status(thm)],[c_401389,c_390764]) ).
tcf(c_403075,plain,
( ( domain(a) = domain(b) )
| ~ defined(a,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_402745,c_82]) ).
tcf(c_403825,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(b))
| ~ defined(g,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401569,c_81]) ).
tcf(c_403828,plain,
( defined(g,domain(b))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401569,c_361637]) ).
tcf(c_403830,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401569,c_355343]) ).
tcf(c_403839,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(b))
| ~ defined(g,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401570,c_81]) ).
tcf(c_403857,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(b))
| ~ defined(h,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401588,c_81]) ).
tcf(c_403860,plain,
( defined(h,domain(b))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_401588,c_366580]) ).
tcf(c_403873,plain,
! [X0: $i] :
( defined(domain(b),compose(compose(h,domain(d)),X0))
| ~ defined(compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400856,c_387409]) ).
tcf(c_403875,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_366978]) ).
tcf(c_403876,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_366845]) ).
tcf(c_403877,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_362459]) ).
tcf(c_403879,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_361818]) ).
tcf(c_403881,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_361800]) ).
tcf(c_403882,plain,
( defined(h,domain(b))
| ~ defined(g,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_366746]) ).
tcf(c_403883,plain,
( defined(d,domain(b))
| ~ defined(g,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_366183]) ).
tcf(c_403884,plain,
( defined(domain(b),c)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),d) ),
inference(superposition,[status(thm)],[c_400856,c_359296]) ).
tcf(c_403885,plain,
( defined(domain(b),a)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),d) ),
inference(superposition,[status(thm)],[c_400856,c_359295]) ).
tcf(c_403886,plain,
( defined(domain(b),a)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),c) ),
inference(superposition,[status(thm)],[c_400856,c_359294]) ).
tcf(c_403887,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_357533]) ).
tcf(c_403888,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_357531]) ).
tcf(c_403889,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_357433]) ).
tcf(c_403890,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_357431]) ).
tcf(c_403891,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_356115]) ).
tcf(c_403892,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_356106]) ).
tcf(c_403895,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(b),X0)
| ~ defined(c,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_356097]) ).
tcf(c_403896,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(b),X1)
| ~ defined(X0,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_355510]) ).
tcf(c_403901,plain,
( defined(g,domain(b))
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_361697]) ).
tcf(c_403902,plain,
( defined(d,domain(b))
| ~ defined(h,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_361405]) ).
tcf(c_403903,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(compose(h,domain(d)))
| ~ defined(compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400856,c_355338]) ).
tcf(c_403906,plain,
compose(domain(b),compose(h,domain(d))) = compose(h,domain(d)),
inference(superposition,[status(thm)],[c_400856,c_357831]) ).
tcf(c_403907,plain,
! [X0: $i] :
( ( compose(h,domain(d)) = X0 )
| ~ product(domain(b),compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_400856,c_355388]) ).
tcf(c_403911,plain,
( defined(h,domain(b))
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_355503]) ).
tcf(c_403912,plain,
( defined(g,domain(b))
| ~ defined(d,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_355502]) ).
tcf(c_403913,plain,
( defined(b,domain(b))
| ~ defined(c,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_355501]) ).
tcf(c_403914,plain,
product(domain(b),compose(h,domain(d)),compose(h,domain(d))),
inference(superposition,[status(thm)],[c_400856,c_87]) ).
tcf(c_403915,plain,
defined(domain(b),compose(h,domain(d))),
inference(superposition,[status(thm)],[c_400856,c_85]) ).
tcf(c_403917,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_400856,c_355313]) ).
tcf(c_404118,plain,
defined(b,codomain(compose(h,domain(d)))),
inference(superposition,[status(thm)],[c_403915,c_355774]) ).
tcf(c_404121,plain,
defined(c,codomain(compose(h,domain(d)))),
inference(superposition,[status(thm)],[c_403915,c_371875]) ).
tcf(c_404126,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,compose(h,domain(d)))
| ~ defined(X1,c)
| ~ product(X1,d,domain(b))
| ~ product(h,compose(h,domain(d)),X0) ),
inference(superposition,[status(thm)],[c_403914,c_359911]) ).
tcf(c_404127,plain,
defined(compose(h,domain(d)),domain(compose(h,domain(d)))),
inference(superposition,[status(thm)],[c_403914,c_389491]) ).
tcf(c_404128,plain,
defined(codomain(domain(b)),compose(h,domain(d))),
inference(superposition,[status(thm)],[c_403914,c_387400]) ).
tcf(c_404129,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),compose(h,domain(d)))
| ~ product(domain(b),c,X1)
| ~ product(d,X0,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_403914,c_358809]) ).
tcf(c_404130,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,domain(d)),X1)
| ~ product(X0,domain(b),X2)
| ~ product(X0,compose(h,domain(d)),X1) ),
inference(superposition,[status(thm)],[c_403914,c_80]) ).
tcf(c_404131,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(compose(h,domain(d)),X0,X2)
| ~ product(compose(h,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_403914,c_77]) ).
tcf(c_404132,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(h,domain(d)))
| ~ product(X0,domain(b),X1)
| ~ defined(X0,compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_403914,c_79]) ).
tcf(c_404135,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(compose(h,domain(d)),X0)
| ~ product(compose(h,domain(d)),X0,X1) ),
inference(superposition,[status(thm)],[c_403914,c_76]) ).
tcf(c_404208,plain,
( defined(g,domain(codomain(d)))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_84,c_395639]) ).
tcf(c_404210,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395639]) ).
tcf(c_404211,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395639]) ).
tcf(c_404221,plain,
( defined(g,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395639]) ).
tcf(c_404222,plain,
( defined(g,codomain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395639]) ).
tcf(c_404229,plain,
( defined(g,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395639]) ).
tcf(c_404230,plain,
( defined(g,domain(a))
| ~ defined(h,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395639]) ).
tcf(c_404231,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(h,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395639]) ).
tcf(c_404232,plain,
! [X0: $i] :
( defined(g,compose(domain(codomain(d)),X0))
| ~ defined(h,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395639]) ).
tcf(c_404237,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ defined(h,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395639]) ).
tcf(c_404303,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(b))
| ~ defined(h,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401589,c_81]) ).
tcf(c_404315,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(b))
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401598,c_81]) ).
tcf(c_404319,plain,
( defined(d,domain(b))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_401598,c_361317]) ).
tcf(c_404329,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(b))
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401599,c_81]) ).
tcf(c_404341,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(b))
| ~ defined(X1,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_401604,c_81]) ).
tcf(c_404342,plain,
! [X0: $i] :
( defined(X0,codomain(domain(b)))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_355774]) ).
tcf(c_404343,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_355370]) ).
tcf(c_404345,plain,
! [X0: $i] :
( defined(h,domain(b))
| ~ defined(g,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_366978]) ).
tcf(c_404346,plain,
! [X0: $i] :
( defined(d,domain(b))
| ~ defined(g,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_366845]) ).
tcf(c_404347,plain,
! [X0: $i] :
( defined(g,domain(b))
| ~ defined(h,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_362459]) ).
tcf(c_404348,plain,
! [X0: $i] :
( defined(d,domain(b))
| ~ defined(h,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_361818]) ).
tcf(c_404349,plain,
! [X0: $i] :
( defined(h,domain(b))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_356115]) ).
tcf(c_404350,plain,
! [X0: $i] :
( defined(g,domain(b))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_356106]) ).
tcf(c_404351,plain,
! [X0: $i] :
( defined(b,domain(b))
| ~ defined(c,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_356097]) ).
tcf(c_404352,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_355510]) ).
tcf(c_404353,plain,
( ( codomain(domain(b)) = domain(b) )
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_401604,c_371505]) ).
tcf(c_404377,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),g) ),
inference(superposition,[status(thm)],[c_401604,c_355220]) ).
tcf(c_404378,plain,
( ( codomain(domain(b)) = domain(a) )
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_401604,c_371102]) ).
tcf(c_404379,plain,
( ( domain(a) = domain(b) )
| ~ identity_map(domain(b))
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_401604,c_358206]) ).
tcf(c_404380,plain,
( defined(domain(h),domain(b))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_385711]) ).
tcf(c_404381,plain,
( defined(domain(g),domain(b))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_385667]) ).
tcf(c_404382,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_357261]) ).
tcf(c_404383,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_357248]) ).
tcf(c_404386,plain,
( defined(g,codomain(domain(b)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_355917]) ).
tcf(c_404387,plain,
( defined(h,codomain(domain(b)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_355524]) ).
tcf(c_404388,plain,
( defined(g,domain(b))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_355449]) ).
tcf(c_404389,plain,
( defined(h,domain(b))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_355364]) ).
tcf(c_404390,plain,
( defined(d,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_395172]) ).
tcf(c_404391,plain,
( defined(h,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_395149]) ).
tcf(c_404392,plain,
( defined(d,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_395128]) ).
tcf(c_404393,plain,
( defined(g,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_395105]) ).
tcf(c_404395,plain,
( defined(h,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_393810]) ).
tcf(c_404396,plain,
( defined(g,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_393781]) ).
tcf(c_404397,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_393551]) ).
tcf(c_404398,plain,
( defined(codomain(d),domain(b))
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_390727]) ).
tcf(c_404400,plain,
( defined(h,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_367214]) ).
tcf(c_404401,plain,
( defined(d,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_366956]) ).
tcf(c_404402,plain,
( defined(g,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_362509]) ).
tcf(c_404403,plain,
( defined(d,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_362442]) ).
tcf(c_404404,plain,
( defined(g,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_358506]) ).
tcf(c_404405,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_358340]) ).
tcf(c_404406,plain,
( defined(b,domain(b))
| ~ defined(c,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_357955]) ).
tcf(c_404407,plain,
( defined(h,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_356796]) ).
tcf(c_404408,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_362280]) ).
tcf(c_404409,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_362129]) ).
tcf(c_404410,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_360544]) ).
tcf(c_404411,plain,
( defined(g,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395639]) ).
tcf(c_404412,plain,
( defined(d,domain(b))
| ~ defined(h,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395624]) ).
tcf(c_404414,plain,
( defined(g,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395065]) ).
tcf(c_404415,plain,
( defined(h,domain(b))
| ~ defined(d,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395050]) ).
tcf(c_404416,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_394122]) ).
tcf(c_404418,plain,
( defined(b,domain(b))
| ~ defined(c,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375716]) ).
tcf(c_404419,plain,
( defined(d,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375256]) ).
tcf(c_404420,plain,
( defined(h,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375241]) ).
tcf(c_404421,plain,
( defined(d,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375224]) ).
tcf(c_404422,plain,
( defined(g,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375209]) ).
tcf(c_404423,plain,
( defined(h,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375192]) ).
tcf(c_404424,plain,
( defined(g,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_375177]) ).
tcf(c_404425,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,c)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_374786]) ).
tcf(c_404426,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_372302]) ).
tcf(c_404427,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_372287]) ).
tcf(c_404428,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_372264]) ).
tcf(c_404429,plain,
( defined(c,codomain(domain(b)))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_401604,c_371875]) ).
tcf(c_404432,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_393203]) ).
tcf(c_404433,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_391161]) ).
tcf(c_404435,plain,
( defined(g,codomain(domain(b)))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_361638]) ).
tcf(c_404436,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_361385]) ).
tcf(c_404437,plain,
( defined(d,codomain(domain(b)))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_361318]) ).
tcf(c_404438,plain,
( defined(g,domain(b))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_361374]) ).
tcf(c_404439,plain,
( defined(d,domain(b))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_361250]) ).
tcf(c_404440,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_401604,c_357187]) ).
tcf(c_404442,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_393234]) ).
tcf(c_404443,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_391213]) ).
tcf(c_404444,plain,
( defined(h,codomain(domain(b)))
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_366581]) ).
tcf(c_404445,plain,
( defined(d,codomain(domain(b)))
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_366011]) ).
tcf(c_404447,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_366140]) ).
tcf(c_404448,plain,
( defined(h,domain(b))
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_366093]) ).
tcf(c_404449,plain,
( defined(d,domain(b))
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_365897]) ).
tcf(c_404450,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(domain(g),g) ),
inference(superposition,[status(thm)],[c_401604,c_357235]) ).
tcf(c_404452,plain,
( defined(codomain(d),domain(b))
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_391110]) ).
tcf(c_404455,plain,
( defined(h,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_367199]) ).
tcf(c_404456,plain,
( defined(h,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_367184]) ).
tcf(c_404457,plain,
( defined(d,domain(b))
| ~ defined(g,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_366913]) ).
tcf(c_404458,plain,
( defined(d,domain(b))
| ~ defined(g,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_366890]) ).
tcf(c_404459,plain,
( defined(g,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362494]) ).
tcf(c_404460,plain,
( defined(g,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362471]) ).
tcf(c_404461,plain,
( defined(d,domain(b))
| ~ defined(h,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362419]) ).
tcf(c_404462,plain,
( defined(d,domain(b))
| ~ defined(h,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362318]) ).
tcf(c_404463,plain,
( defined(g,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_358483]) ).
tcf(c_404464,plain,
( defined(g,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_358434]) ).
tcf(c_404465,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_358150]) ).
tcf(c_404466,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_358050]) ).
tcf(c_404467,plain,
( defined(b,domain(b))
| ~ defined(c,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_357942]) ).
tcf(c_404468,plain,
( defined(b,domain(b))
| ~ defined(c,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_357929]) ).
tcf(c_404469,plain,
( defined(h,domain(b))
| ~ defined(d,c)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_356787]) ).
tcf(c_404470,plain,
( defined(h,domain(b))
| ~ defined(d,d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_356743]) ).
tcf(c_404471,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362295]) ).
tcf(c_404472,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_362265]) ).
tcf(c_404473,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ defined(codomain(a),g) ),
inference(superposition,[status(thm)],[c_401604,c_360587]) ).
tcf(c_404474,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(b))
| ~ product(g,X0,X1)
| ~ defined(compose(d,X0),g) ),
inference(superposition,[status(thm)],[c_401604,c_359383]) ).
tcf(c_404475,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ product(g,X2,X0)
| ~ defined(compose(d,X2),g)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_401604,c_359382]) ).
tcf(c_404476,plain,
( defined(h,domain(b))
| ~ defined(domain(compose(g,domain(d))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390804]) ).
tcf(c_404477,plain,
( defined(g,domain(b))
| ~ defined(domain(compose(g,domain(d))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390782]) ).
tcf(c_404478,plain,
( defined(d,domain(b))
| ~ defined(domain(compose(g,domain(d))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390746]) ).
tcf(c_404479,plain,
( defined(h,domain(b))
| ~ defined(domain(compose(g,domain(h))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390824]) ).
tcf(c_404480,plain,
( defined(g,domain(b))
| ~ defined(domain(compose(g,domain(h))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390814]) ).
tcf(c_404481,plain,
( defined(d,domain(b))
| ~ defined(domain(compose(g,domain(h))),g) ),
inference(superposition,[status(thm)],[c_401604,c_390764]) ).
tcf(c_404713,plain,
( ( domain(a) = domain(b) )
| ~ defined(a,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_404379,c_82]) ).
tcf(c_405657,plain,
! [X0: $i] :
( defined(domain(b),compose(compose(h,domain(g)),X0))
| ~ defined(compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_400863,c_387409]) ).
tcf(c_405659,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_366978]) ).
tcf(c_405660,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_366845]) ).
tcf(c_405661,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_362459]) ).
tcf(c_405663,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_361818]) ).
tcf(c_405665,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_361800]) ).
tcf(c_405666,plain,
( defined(h,domain(b))
| ~ defined(g,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_366746]) ).
tcf(c_405667,plain,
( defined(d,domain(b))
| ~ defined(g,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_366183]) ).
tcf(c_405668,plain,
( defined(domain(b),c)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),d) ),
inference(superposition,[status(thm)],[c_400863,c_359296]) ).
tcf(c_405669,plain,
( defined(domain(b),a)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),d) ),
inference(superposition,[status(thm)],[c_400863,c_359295]) ).
tcf(c_405670,plain,
( defined(domain(b),a)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),c) ),
inference(superposition,[status(thm)],[c_400863,c_359294]) ).
tcf(c_405671,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_357533]) ).
tcf(c_405672,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_357531]) ).
tcf(c_405673,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_357433]) ).
tcf(c_405674,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_357431]) ).
tcf(c_405675,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_356115]) ).
tcf(c_405676,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_356106]) ).
tcf(c_405679,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(b),X0)
| ~ defined(c,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_356097]) ).
tcf(c_405680,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(b),X1)
| ~ defined(X0,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_355510]) ).
tcf(c_405685,plain,
( defined(g,domain(b))
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_361697]) ).
tcf(c_405686,plain,
( defined(d,domain(b))
| ~ defined(h,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_361405]) ).
tcf(c_405687,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(compose(h,domain(g)))
| ~ defined(compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_400863,c_355338]) ).
tcf(c_405690,plain,
compose(domain(b),compose(h,domain(g))) = compose(h,domain(g)),
inference(superposition,[status(thm)],[c_400863,c_357831]) ).
tcf(c_405691,plain,
! [X0: $i] :
( ( compose(h,domain(g)) = X0 )
| ~ product(domain(b),compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_400863,c_355388]) ).
tcf(c_405695,plain,
( defined(h,domain(b))
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_355503]) ).
tcf(c_405696,plain,
( defined(g,domain(b))
| ~ defined(d,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_355502]) ).
tcf(c_405697,plain,
( defined(b,domain(b))
| ~ defined(c,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_355501]) ).
tcf(c_405698,plain,
product(domain(b),compose(h,domain(g)),compose(h,domain(g))),
inference(superposition,[status(thm)],[c_400863,c_87]) ).
tcf(c_405699,plain,
defined(domain(b),compose(h,domain(g))),
inference(superposition,[status(thm)],[c_400863,c_85]) ).
tcf(c_405701,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_400863,c_355313]) ).
tcf(c_405852,plain,
defined(b,codomain(compose(h,domain(g)))),
inference(superposition,[status(thm)],[c_405699,c_355774]) ).
tcf(c_405855,plain,
defined(c,codomain(compose(h,domain(g)))),
inference(superposition,[status(thm)],[c_405699,c_371875]) ).
tcf(c_405860,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,compose(h,domain(g)))
| ~ defined(X1,c)
| ~ product(X1,d,domain(b))
| ~ product(h,compose(h,domain(g)),X0) ),
inference(superposition,[status(thm)],[c_405698,c_359911]) ).
tcf(c_405861,plain,
defined(compose(h,domain(g)),domain(compose(h,domain(g)))),
inference(superposition,[status(thm)],[c_405698,c_389491]) ).
tcf(c_405862,plain,
defined(codomain(domain(b)),compose(h,domain(g))),
inference(superposition,[status(thm)],[c_405698,c_387400]) ).
tcf(c_405863,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),compose(h,domain(g)))
| ~ product(domain(b),c,X1)
| ~ product(d,X0,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_405698,c_358809]) ).
tcf(c_405864,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(h,domain(g)),X1)
| ~ product(X0,domain(b),X2)
| ~ product(X0,compose(h,domain(g)),X1) ),
inference(superposition,[status(thm)],[c_405698,c_80]) ).
tcf(c_405865,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(compose(h,domain(g)),X0,X2)
| ~ product(compose(h,domain(g)),X0,X1) ),
inference(superposition,[status(thm)],[c_405698,c_77]) ).
tcf(c_405866,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(h,domain(g)))
| ~ product(X0,domain(b),X1)
| ~ defined(X0,compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_405698,c_79]) ).
tcf(c_405869,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(compose(h,domain(g)),X0)
| ~ product(compose(h,domain(g)),X0,X1) ),
inference(superposition,[status(thm)],[c_405698,c_76]) ).
tcf(c_405900,plain,
( defined(d,domain(codomain(d)))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_84,c_395656]) ).
tcf(c_405902,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395656]) ).
tcf(c_405903,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395656]) ).
tcf(c_405913,plain,
( defined(d,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395656]) ).
tcf(c_405914,plain,
( defined(d,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395656]) ).
tcf(c_405921,plain,
( defined(d,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395656]) ).
tcf(c_405922,plain,
( defined(d,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395656]) ).
tcf(c_405923,plain,
( defined(d,domain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395656]) ).
tcf(c_405924,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(g,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395656]) ).
tcf(c_405925,plain,
! [X0: $i] :
( defined(d,compose(domain(codomain(d)),X0))
| ~ defined(g,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395656]) ).
tcf(c_405930,plain,
! [X0: $i] :
( defined(d,domain(compose(d,X0)))
| ~ defined(g,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395656]) ).
tcf(c_405970,plain,
! [X0: $i] :
( defined(domain(b),compose(compose(g,domain(h)),X0))
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_400864,c_387409]) ).
tcf(c_405972,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_366978]) ).
tcf(c_405973,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_366845]) ).
tcf(c_405974,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_362459]) ).
tcf(c_405976,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0)
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_361818]) ).
tcf(c_405978,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_361800]) ).
tcf(c_405979,plain,
( defined(h,domain(b))
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_366746]) ).
tcf(c_405980,plain,
( defined(d,domain(b))
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_366183]) ).
tcf(c_405981,plain,
( defined(domain(b),c)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_400864,c_359296]) ).
tcf(c_405982,plain,
( defined(domain(b),a)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),d) ),
inference(superposition,[status(thm)],[c_400864,c_359295]) ).
tcf(c_405983,plain,
( defined(domain(b),a)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),c) ),
inference(superposition,[status(thm)],[c_400864,c_359294]) ).
tcf(c_405984,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_357533]) ).
tcf(c_405985,plain,
( defined(b,domain(b))
| ~ identity_map(g)
| ~ defined(g,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_357531]) ).
tcf(c_405986,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_357433]) ).
tcf(c_405987,plain,
( defined(b,domain(b))
| ~ identity_map(h)
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_357431]) ).
tcf(c_405988,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_356115]) ).
tcf(c_405989,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(b),X0)
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_356106]) ).
tcf(c_405992,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(b),X0)
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_356097]) ).
tcf(c_405993,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(b),X1)
| ~ defined(X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_355510]) ).
tcf(c_405998,plain,
( defined(g,domain(b))
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_361697]) ).
tcf(c_405999,plain,
( defined(d,domain(b))
| ~ defined(h,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_361405]) ).
tcf(c_406000,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(compose(g,domain(h)))
| ~ defined(compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_400864,c_355338]) ).
tcf(c_406003,plain,
compose(domain(b),compose(g,domain(h))) = compose(g,domain(h)),
inference(superposition,[status(thm)],[c_400864,c_357831]) ).
tcf(c_406004,plain,
! [X0: $i] :
( ( compose(g,domain(h)) = X0 )
| ~ product(domain(b),compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_400864,c_355388]) ).
tcf(c_406008,plain,
( defined(h,domain(b))
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_355503]) ).
tcf(c_406009,plain,
( defined(g,domain(b))
| ~ defined(d,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_355502]) ).
tcf(c_406010,plain,
( defined(b,domain(b))
| ~ defined(c,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_355501]) ).
tcf(c_406011,plain,
product(domain(b),compose(g,domain(h)),compose(g,domain(h))),
inference(superposition,[status(thm)],[c_400864,c_87]) ).
tcf(c_406012,plain,
defined(domain(b),compose(g,domain(h))),
inference(superposition,[status(thm)],[c_400864,c_85]) ).
tcf(c_406014,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ defined(X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_400864,c_355313]) ).
tcf(c_406129,plain,
defined(b,codomain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_406012,c_355774]) ).
tcf(c_406132,plain,
defined(c,codomain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_406012,c_371875]) ).
tcf(c_406156,plain,
! [X0: $i] :
( defined(domain(X0),domain(b))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_357641,c_402709]) ).
tcf(c_406157,plain,
! [X0: $i] :
( defined(codomain(X0),domain(b))
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_357642,c_402709]) ).
tcf(c_406206,plain,
! [X0: $i] :
( defined(domain(X0),domain(b))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_357641,c_404343]) ).
tcf(c_406207,plain,
! [X0: $i] :
( defined(codomain(X0),domain(b))
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_357642,c_404343]) ).
tcf(c_406213,plain,
( defined(codomain(compose(g,domain(d))),domain(b))
| ~ defined(domain(b),compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_402165,c_388776]) ).
tcf(c_406214,plain,
( defined(codomain(domain(b)),compose(g,domain(d)))
| ~ defined(domain(b),compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_402165,c_387409]) ).
tcf(c_406215,plain,
( defined(compose(g,domain(d)),domain(compose(g,domain(d))))
| ~ defined(domain(b),compose(g,domain(d))) ),
inference(superposition,[status(thm)],[c_402165,c_383578]) ).
tcf(c_406221,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),compose(g,domain(d))) ),
inference(light_normalisation,[status(thm)],[c_406213,c_400852]) ).
tcf(c_406228,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,c),X0,compose(g,domain(h)))
| ~ defined(X1,c)
| ~ product(X1,d,domain(b))
| ~ product(h,compose(g,domain(h)),X0) ),
inference(superposition,[status(thm)],[c_406011,c_359911]) ).
tcf(c_406229,plain,
defined(compose(g,domain(h)),domain(compose(g,domain(h)))),
inference(superposition,[status(thm)],[c_406011,c_389491]) ).
tcf(c_406230,plain,
defined(codomain(domain(b)),compose(g,domain(h))),
inference(superposition,[status(thm)],[c_406011,c_387400]) ).
tcf(c_406231,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(h,X0),compose(g,domain(h)))
| ~ product(domain(b),c,X1)
| ~ product(d,X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_406011,c_358809]) ).
tcf(c_406232,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(g,domain(h)),X1)
| ~ product(X0,domain(b),X2)
| ~ product(X0,compose(g,domain(h)),X1) ),
inference(superposition,[status(thm)],[c_406011,c_80]) ).
tcf(c_406233,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(b),X1,X2)
| ~ product(compose(g,domain(h)),X0,X2)
| ~ product(compose(g,domain(h)),X0,X1) ),
inference(superposition,[status(thm)],[c_406011,c_77]) ).
tcf(c_406234,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(h)))
| ~ product(X0,domain(b),X1)
| ~ defined(X0,compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_406011,c_79]) ).
tcf(c_406237,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(compose(g,domain(h)),X0)
| ~ product(compose(g,domain(h)),X0,X1) ),
inference(superposition,[status(thm)],[c_406011,c_76]) ).
tcf(c_406294,plain,
( defined(h,domain(codomain(d)))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_84,c_395671]) ).
tcf(c_406296,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395671]) ).
tcf(c_406297,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395671]) ).
tcf(c_406307,plain,
( defined(h,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395671]) ).
tcf(c_406308,plain,
( defined(h,codomain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395671]) ).
tcf(c_406315,plain,
( defined(h,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395671]) ).
tcf(c_406316,plain,
( defined(h,domain(b))
| ~ defined(g,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395671]) ).
tcf(c_406317,plain,
( defined(h,domain(a))
| ~ defined(g,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395671]) ).
tcf(c_406318,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(g,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395671]) ).
tcf(c_406319,plain,
! [X0: $i] :
( defined(h,compose(domain(codomain(d)),X0))
| ~ defined(g,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395671]) ).
tcf(c_406324,plain,
! [X0: $i] :
( defined(h,domain(compose(d,X0)))
| ~ defined(g,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395671]) ).
tcf(c_406437,plain,
( defined(b,domain(codomain(c)))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_84,c_395688]) ).
tcf(c_406439,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395688]) ).
tcf(c_406440,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,a)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395688]) ).
tcf(c_406444,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(a)
| ~ defined(c,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355458,c_395688]) ).
tcf(c_406450,plain,
( defined(b,codomain(a))
| ~ defined(c,a)
| ~ defined(codomain(c),c) ),
inference(superposition,[status(thm)],[c_357967,c_395688]) ).
tcf(c_406451,plain,
( defined(b,codomain(a))
| ~ defined(c,a)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_357966,c_395688]) ).
tcf(c_406456,plain,
( defined(b,domain(b))
| ~ defined(c,a)
| ~ defined(codomain(c),g) ),
inference(superposition,[status(thm)],[c_401604,c_395688]) ).
tcf(c_406457,plain,
( defined(b,domain(b))
| ~ defined(c,a)
| ~ defined(codomain(c),h) ),
inference(superposition,[status(thm)],[c_401389,c_395688]) ).
tcf(c_406460,plain,
( defined(b,domain(a))
| ~ defined(c,a)
| ~ defined(codomain(c),b) ),
inference(superposition,[status(thm)],[c_383255,c_395688]) ).
tcf(c_406461,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(c))))
| ~ defined(c,a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_383578,c_395688]) ).
tcf(c_406462,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(c)),X0))
| ~ defined(c,a)
| ~ defined(domain(codomain(c)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395688]) ).
tcf(c_406463,plain,
! [X0: $i] :
( defined(b,compose(c,X0))
| ~ defined(c,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_387409,c_395688]) ).
tcf(c_406464,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_397852,c_395688]) ).
tcf(c_406465,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387422,c_395688]) ).
tcf(c_406466,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,a)
| ~ product(g,X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_381388,c_395688]) ).
tcf(c_406467,plain,
( defined(b,domain(d))
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_395271,c_395688]) ).
tcf(c_406468,plain,
( defined(b,domain(g))
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_387433,c_395688]) ).
tcf(c_406626,plain,
! [X0: $i] :
( ( codomain(domain(X0)) = domain(b) )
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_389504,c_371516]) ).
tcf(c_406681,plain,
( ( codomain(domain(b)) = domain(b) )
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_401604,c_371516]) ).
tcf(c_406682,plain,
( ( codomain(domain(b)) = domain(b) )
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_401389,c_371516]) ).
tcf(c_406685,plain,
! [X0: $i] :
( ( codomain(domain(compose(X0,b))) = domain(b) )
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_383578,c_371516]) ).
tcf(c_406691,plain,
! [X0: $i] :
( ( codomain(domain(compose(d,X0))) = domain(b) )
| ~ product(g,X0,b) ),
inference(superposition,[status(thm)],[c_381388,c_371516]) ).
tcf(c_406721,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_372009,c_81]) ).
tcf(c_406722,plain,
( defined(h,codomain(g))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_355774]) ).
tcf(c_406724,plain,
( defined(codomain(d),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_393203]) ).
tcf(c_406725,plain,
( defined(codomain(c),g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_391161]) ).
tcf(c_406727,plain,
( defined(g,codomain(g))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_361638]) ).
tcf(c_406729,plain,
( defined(d,codomain(g))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_361318]) ).
tcf(c_406734,plain,
( defined(h,domain(b))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_404343]) ).
tcf(c_406735,plain,
( defined(d,domain(b))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_404439]) ).
tcf(c_406736,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372009,c_404438]) ).
tcf(c_406964,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_372010,c_81]) ).
tcf(c_406965,plain,
( defined(h,codomain(h))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372010,c_355774]) ).
tcf(c_406967,plain,
( defined(codomain(d),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372010,c_393203]) ).
tcf(c_406968,plain,
( defined(codomain(c),h)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372010,c_391161]) ).
tcf(c_406970,plain,
( defined(g,codomain(h))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372010,c_361638]) ).
tcf(c_406972,plain,
( defined(d,codomain(h))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372010,c_361318]) ).
tcf(c_406999,plain,
( defined(codomain(compose(h,domain(d))),domain(b))
| ~ defined(domain(b),compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_403906,c_388776]) ).
tcf(c_407000,plain,
( defined(codomain(domain(b)),compose(h,domain(d)))
| ~ defined(domain(b),compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_403906,c_387409]) ).
tcf(c_407001,plain,
( defined(compose(h,domain(d)),domain(compose(h,domain(d))))
| ~ defined(domain(b),compose(h,domain(d))) ),
inference(superposition,[status(thm)],[c_403906,c_383578]) ).
tcf(c_407007,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),compose(h,domain(d))) ),
inference(light_normalisation,[status(thm)],[c_406999,c_400856]) ).
tcf(c_407014,plain,
( defined(b,domain(codomain(d)))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_84,c_395703]) ).
tcf(c_407016,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_395703]) ).
tcf(c_407017,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,a)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_395703]) ).
tcf(c_407023,plain,
( defined(b,c)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_359296,c_395703]) ).
tcf(c_407024,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_359295,c_395703]) ).
tcf(c_407025,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_359294,c_395703]) ).
tcf(c_407027,plain,
( defined(b,codomain(a))
| ~ defined(c,a)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_395703]) ).
tcf(c_407028,plain,
( defined(b,codomain(a))
| ~ defined(c,a)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_395703]) ).
tcf(c_407035,plain,
( defined(b,domain(b))
| ~ defined(c,a)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_395703]) ).
tcf(c_407036,plain,
( defined(b,domain(b))
| ~ defined(c,a)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_395703]) ).
tcf(c_407037,plain,
( defined(b,domain(a))
| ~ defined(c,a)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_395703]) ).
tcf(c_407038,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(c,a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_395703]) ).
tcf(c_407039,plain,
! [X0: $i] :
( defined(b,compose(domain(codomain(d)),X0))
| ~ defined(c,a)
| ~ defined(domain(codomain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_395703]) ).
tcf(c_407044,plain,
! [X0: $i] :
( defined(b,domain(compose(d,X0)))
| ~ defined(c,a)
| ~ product(g,X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_395703]) ).
tcf(c_407105,plain,
( defined(codomain(c),domain(domain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_396477]) ).
tcf(c_407106,plain,
! [X0: $i] :
( defined(codomain(c),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_396477]) ).
tcf(c_407108,plain,
! [X0: $i] :
( defined(codomain(c),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_396477]) ).
tcf(c_407137,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_357967,c_396477]) ).
tcf(c_407138,plain,
( defined(codomain(c),codomain(a))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357966,c_396477]) ).
tcf(c_407139,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391399,c_396477]) ).
tcf(c_407140,plain,
( defined(codomain(c),codomain(c))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_357968,c_396477]) ).
tcf(c_407141,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_396477]) ).
tcf(c_407142,plain,
( defined(codomain(c),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_396477]) ).
tcf(c_407143,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_396477]) ).
tcf(c_407144,plain,
( defined(codomain(c),domain(b))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_396477]) ).
tcf(c_407145,plain,
( defined(codomain(c),domain(a))
| ~ identity_map(d)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_396477]) ).
tcf(c_407146,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(X0,domain(d))))
| ~ identity_map(d)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_396477]) ).
tcf(c_407147,plain,
! [X0: $i] :
( defined(codomain(c),compose(domain(domain(d)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_396477]) ).
tcf(c_407148,plain,
! [X0: $i] :
( defined(codomain(c),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_396477]) ).
tcf(c_407254,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_372051,c_81]) ).
tcf(c_407281,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_372052,c_81]) ).
tcf(c_407308,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372246,c_81]) ).
tcf(c_407309,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_372246,c_371505]) ).
tcf(c_407310,plain,
( defined(a,codomain(d))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_372246,c_359639]) ).
tcf(c_407319,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407308,c_83]) ).
tcf(c_407336,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372247,c_81]) ).
tcf(c_407341,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407336,c_83]) ).
tcf(c_407352,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372250,c_81]) ).
tcf(c_407353,plain,
( ( codomain(codomain(d)) = domain(b) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_372250,c_371516]) ).
tcf(c_407360,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407352,c_83]) ).
tcf(c_407383,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_372251,c_81]) ).
tcf(c_407387,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407383,c_83]) ).
tcf(c_407444,plain,
( defined(codomain(compose(h,domain(g))),domain(b))
| ~ defined(domain(b),compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_405690,c_388776]) ).
tcf(c_407445,plain,
( defined(codomain(domain(b)),compose(h,domain(g)))
| ~ defined(domain(b),compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_405690,c_387409]) ).
tcf(c_407446,plain,
( defined(compose(h,domain(g)),domain(compose(h,domain(g))))
| ~ defined(domain(b),compose(h,domain(g))) ),
inference(superposition,[status(thm)],[c_405690,c_383578]) ).
tcf(c_407452,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),compose(h,domain(g))) ),
inference(light_normalisation,[status(thm)],[c_407444,c_400863]) ).
tcf(c_407459,plain,
( defined(codomain(d),domain(domain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_396580]) ).
tcf(c_407460,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_389504,c_396580]) ).
tcf(c_407462,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_355313,c_396580]) ).
tcf(c_407495,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_391415,c_396580]) ).
tcf(c_407496,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_372499,c_396580]) ).
tcf(c_407497,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_401604,c_396580]) ).
tcf(c_407498,plain,
( defined(codomain(d),domain(b))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_401389,c_396580]) ).
tcf(c_407499,plain,
( defined(codomain(d),domain(a))
| ~ identity_map(d)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_383255,c_396580]) ).
tcf(c_407500,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,domain(d))))
| ~ identity_map(d)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_383578,c_396580]) ).
tcf(c_407501,plain,
! [X0: $i] :
( defined(codomain(d),compose(domain(domain(d)),X0))
| ~ identity_map(d)
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_384636,c_396580]) ).
tcf(c_407502,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(d,X0)))
| ~ identity_map(d)
| ~ product(g,X0,domain(d)) ),
inference(superposition,[status(thm)],[c_381388,c_396580]) ).
tcf(c_407689,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ product(X0,codomain(X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_355609,c_369666]) ).
tcf(c_407695,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(X1)),X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_73,c_407689]) ).
tcf(c_407697,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X1),X1)
| ~ identity_map(X0)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_88,c_407689]) ).
tcf(c_407698,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(codomain(X1))
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_89,c_407689]) ).
tcf(c_407699,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(X0))
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_359623,c_407689]) ).
tcf(c_407700,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(X0))
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_359040,c_407689]) ).
tcf(c_407701,plain,
! [X0: $i,X1: $i] :
( defined(compose(d,X0),X1)
| ~ product(g,X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_359369,c_407689]) ).
tcf(c_407703,plain,
! [X0: $i] :
( defined(compose(d,codomain(X0)),X0)
| ~ identity_map(h)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_359037,c_407689]) ).
tcf(c_407706,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400799,c_407689]) ).
tcf(c_407707,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ product(X0,codomain(X1),X2) ),
inference(superposition,[status(thm)],[c_357841,c_407689]) ).
tcf(c_407708,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,domain(X1),X2) ),
inference(superposition,[status(thm)],[c_357840,c_407689]) ).
tcf(c_407709,plain,
! [X0: $i,X1: $i] :
( defined(X1,b)
| ~ product(X0,domain(a),X1) ),
inference(superposition,[status(thm)],[c_383075,c_407689]) ).
tcf(c_407710,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400800,c_407689]) ).
tcf(c_407711,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(d)))
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400852,c_407689]) ).
tcf(c_407712,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(h,domain(d)))
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400856,c_407689]) ).
tcf(c_407713,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(h,domain(g)))
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400863,c_407689]) ).
tcf(c_407714,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(g,domain(h)))
| ~ product(X0,domain(b),X1) ),
inference(superposition,[status(thm)],[c_400864,c_407689]) ).
tcf(c_407737,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407698,c_83]) ).
tcf(c_407743,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(d,codomain(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407700,c_83]) ).
tcf(c_407747,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ defined(g,codomain(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407699,c_83]) ).
tcf(c_407838,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_355221,c_407737]) ).
tcf(c_407844,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(X0)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_355338,c_407737]) ).
tcf(c_407845,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(d)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_370036,c_407737]) ).
tcf(c_407846,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(a)
| ~ defined(a,codomain(X0)) ),
inference(superposition,[status(thm)],[c_355458,c_407737]) ).
tcf(c_407847,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(a)
| ~ defined(a,codomain(X0)) ),
inference(superposition,[status(thm)],[c_355477,c_407737]) ).
tcf(c_407848,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(c)
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_355472,c_407737]) ).
tcf(c_407885,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_371890,c_407737]) ).
tcf(c_407906,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_361214,c_407737]) ).
tcf(c_407907,plain,
! [X0: $i] :
( defined(domain(g),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_365812,c_407737]) ).
tcf(c_407913,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(d)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_387577,c_407737]) ).
tcf(c_407914,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(c)
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_387485,c_407737]) ).
tcf(c_407950,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(domain(d),codomain(X0)) ),
inference(superposition,[status(thm)],[c_385722,c_407737]) ).
tcf(c_407951,plain,
! [X0: $i] :
( defined(compose(g,domain(d)),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_358670,c_407737]) ).
tcf(c_407954,plain,
! [X0: $i] :
( defined(compose(h,domain(d)),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_367826,c_407737]) ).
tcf(c_407955,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(codomain(X0),X1)),X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_388776,c_407737]) ).
tcf(c_407986,plain,
! [X0: $i] :
( defined(compose(h,domain(g)),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_367830,c_407737]) ).
tcf(c_407987,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(domain(d),codomain(X0)) ),
inference(superposition,[status(thm)],[c_385717,c_407737]) ).
tcf(c_407988,plain,
! [X0: $i] :
( defined(compose(g,domain(h)),X0)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_363062,c_407737]) ).
tcf(c_407989,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400799,c_407737]) ).
tcf(c_407992,plain,
! [X0: $i] :
( defined(X0,b)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_383075,c_407737]) ).
tcf(c_407993,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400800,c_407737]) ).
tcf(c_407994,plain,
! [X0: $i] :
( defined(X0,compose(g,domain(d)))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400852,c_407737]) ).
tcf(c_407995,plain,
! [X0: $i] :
( defined(X0,compose(h,domain(d)))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400856,c_407737]) ).
tcf(c_407996,plain,
! [X0: $i] :
( defined(X0,compose(h,domain(g)))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400863,c_407737]) ).
tcf(c_407997,plain,
! [X0: $i] :
( defined(X0,compose(g,domain(h)))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_400864,c_407737]) ).
tcf(c_408234,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(b)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_389504,c_407989]) ).
tcf(c_408235,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_355221,c_407989]) ).
tcf(c_408236,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_355338,c_407989]) ).
tcf(c_408237,plain,
( defined(codomain(c),h)
| ~ identity_map(d)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_370036,c_407989]) ).
tcf(c_408238,plain,
( defined(codomain(c),h)
| ~ identity_map(a)
| ~ defined(a,domain(b)) ),
inference(superposition,[status(thm)],[c_355458,c_407989]) ).
tcf(c_408239,plain,
( defined(codomain(d),h)
| ~ identity_map(a)
| ~ defined(a,domain(b)) ),
inference(superposition,[status(thm)],[c_355477,c_407989]) ).
tcf(c_408243,plain,
( defined(domain(h),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_361214,c_407989]) ).
tcf(c_408244,plain,
( defined(domain(g),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_365812,c_407989]) ).
tcf(c_408245,plain,
( defined(codomain(a),h)
| ~ identity_map(d)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_387577,c_407989]) ).
tcf(c_408248,plain,
( defined(compose(g,domain(d)),h)
| ~ defined(domain(d),domain(b)) ),
inference(superposition,[status(thm)],[c_385722,c_407989]) ).
tcf(c_408249,plain,
( defined(compose(g,domain(d)),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_358670,c_407989]) ).
tcf(c_408251,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_401604,c_407989]) ).
tcf(c_408253,plain,
( defined(compose(h,domain(d)),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_367826,c_407989]) ).
tcf(c_408254,plain,
( defined(d,h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_401589,c_407989]) ).
tcf(c_408255,plain,
( defined(d,h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401570,c_407989]) ).
tcf(c_408256,plain,
( defined(d,h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_401374,c_407989]) ).
tcf(c_408257,plain,
( defined(d,h)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401355,c_407989]) ).
tcf(c_408258,plain,
! [X0: $i] :
( defined(codomain(compose(domain(b),X0)),h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_388776,c_407989]) ).
tcf(c_408259,plain,
! [X0: $i] :
( defined(compose(X0,b),h)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_389500,c_407989]) ).
tcf(c_408260,plain,
( defined(compose(h,domain(g)),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_367830,c_407989]) ).
tcf(c_408261,plain,
( defined(g,h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_401599,c_407989]) ).
tcf(c_408262,plain,
( defined(g,h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_401588,c_407989]) ).
tcf(c_408263,plain,
( defined(g,h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_401384,c_407989]) ).
tcf(c_408264,plain,
( defined(g,h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_401373,c_407989]) ).
tcf(c_408265,plain,
( defined(h,h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_401598,c_407989]) ).
tcf(c_408266,plain,
( defined(h,h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401569,c_407989]) ).
tcf(c_408267,plain,
( defined(h,h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_401383,c_407989]) ).
tcf(c_408268,plain,
( defined(h,h)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401354,c_407989]) ).
tcf(c_408269,plain,
( defined(compose(g,domain(h)),h)
| ~ defined(domain(d),domain(b)) ),
inference(superposition,[status(thm)],[c_385717,c_407989]) ).
tcf(c_408270,plain,
( defined(compose(g,domain(h)),h)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_363062,c_407989]) ).
tcf(c_408624,plain,
defined(codomain(g),h),
inference(superposition,[status(thm)],[c_85,c_408251]) ).
tcf(c_408625,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_355221,c_408251]) ).
tcf(c_408626,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_355338,c_408251]) ).
tcf(c_408629,plain,
( defined(codomain(c),h)
| ~ identity_map(d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_370036,c_408251]) ).
tcf(c_408630,plain,
( defined(codomain(c),h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_355458,c_408251]) ).
tcf(c_408631,plain,
( defined(codomain(d),h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_355477,c_408251]) ).
tcf(c_408635,plain,
( defined(domain(h),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_361214,c_408251]) ).
tcf(c_408636,plain,
( defined(domain(g),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_365812,c_408251]) ).
tcf(c_408637,plain,
( defined(codomain(a),h)
| ~ identity_map(d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_387577,c_408251]) ).
tcf(c_408639,plain,
( defined(compose(g,domain(d)),h)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_385722,c_408251]) ).
tcf(c_408640,plain,
( defined(compose(g,domain(d)),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_358670,c_408251]) ).
tcf(c_408647,plain,
( defined(compose(h,domain(d)),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_367826,c_408251]) ).
tcf(c_408650,plain,
! [X0: $i] :
( defined(codomain(compose(g,X0)),h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_388776,c_408251]) ).
tcf(c_408652,plain,
( defined(compose(h,domain(g)),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_367830,c_408251]) ).
tcf(c_408654,plain,
( defined(compose(g,domain(h)),h)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_385717,c_408251]) ).
tcf(c_408655,plain,
( defined(compose(g,domain(h)),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_363062,c_408251]) ).
tcf(c_408827,plain,
( defined(codomain(compose(g,domain(h))),domain(b))
| ~ defined(domain(b),compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_406003,c_388776]) ).
tcf(c_408828,plain,
( defined(codomain(domain(b)),compose(g,domain(h)))
| ~ defined(domain(b),compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_406003,c_387409]) ).
tcf(c_408829,plain,
( defined(compose(g,domain(h)),domain(compose(g,domain(h))))
| ~ defined(domain(b),compose(g,domain(h))) ),
inference(superposition,[status(thm)],[c_406003,c_383578]) ).
tcf(c_408835,plain,
( defined(domain(b),domain(b))
| ~ defined(domain(b),compose(g,domain(h))) ),
inference(light_normalisation,[status(thm)],[c_408827,c_400864]) ).
tcf(c_408842,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),h)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_400799,c_407695]) ).
tcf(c_408843,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(X1)),codomain(X1))
| ~ defined(X0,codomain(codomain(X1))) ),
inference(superposition,[status(thm)],[c_357841,c_407695]) ).
tcf(c_408844,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,domain(X1)),domain(X1))
| ~ defined(X0,codomain(domain(X1))) ),
inference(superposition,[status(thm)],[c_357840,c_407695]) ).
tcf(c_408845,plain,
! [X0: $i] :
( defined(compose(X0,domain(a)),b)
| ~ defined(X0,codomain(b)) ),
inference(superposition,[status(thm)],[c_383075,c_407695]) ).
tcf(c_408846,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),g)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_400800,c_407695]) ).
tcf(c_408847,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(g,domain(d)))
| ~ defined(X0,codomain(compose(g,domain(d)))) ),
inference(superposition,[status(thm)],[c_400852,c_407695]) ).
tcf(c_408848,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(h,domain(d)))
| ~ defined(X0,codomain(compose(h,domain(d)))) ),
inference(superposition,[status(thm)],[c_400856,c_407695]) ).
tcf(c_408849,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(h,domain(g)))
| ~ defined(X0,codomain(compose(h,domain(g)))) ),
inference(superposition,[status(thm)],[c_400863,c_407695]) ).
tcf(c_408850,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(g,domain(h)))
| ~ defined(X0,codomain(compose(g,domain(h)))) ),
inference(superposition,[status(thm)],[c_400864,c_407695]) ).
tcf(c_408851,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,codomain(X1)),X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_407695,c_81]) ).
tcf(c_408852,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(codomain(X1))),X1)
| ~ defined(X0,codomain(codomain(X1))) ),
inference(superposition,[status(thm)],[c_407695,c_407737]) ).
tcf(c_408853,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X1),X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_407695,c_355220]) ).
tcf(c_408854,plain,
! [X0: $i] :
( defined(compose(X0,codomain(c)),h)
| ~ identity_map(c)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_407695,c_371027]) ).
tcf(c_408855,plain,
! [X0: $i] :
( defined(compose(X0,codomain(c)),g)
| ~ identity_map(c)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_407695,c_370988]) ).
tcf(c_408856,plain,
! [X0: $i] :
( defined(compose(X0,codomain(c)),d)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_407695,c_370040]) ).
tcf(c_408857,plain,
! [X0: $i] :
( defined(compose(X0,codomain(c)),a)
| ~ defined(X0,codomain(c)) ),
inference(superposition,[status(thm)],[c_407695,c_355308]) ).
tcf(c_408858,plain,
! [X0: $i] :
( defined(compose(X0,codomain(a)),d)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_407695,c_387586]) ).
tcf(c_408859,plain,
! [X0: $i] :
( defined(compose(X0,codomain(a)),c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_407695,c_387494]) ).
tcf(c_408860,plain,
! [X0: $i] :
( defined(compose(X0,codomain(d)),g)
| ~ identity_map(c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_407695,c_363910]) ).
tcf(c_408861,plain,
! [X0: $i] :
( defined(compose(X0,codomain(d)),h)
| ~ identity_map(c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_407695,c_363909]) ).
tcf(c_408862,plain,
! [X0: $i] :
( defined(compose(X0,codomain(d)),a)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_407695,c_356224]) ).
tcf(c_408863,plain,
! [X0: $i] :
( defined(compose(X0,codomain(d)),c)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_407695,c_355309]) ).
tcf(c_408864,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,codomain(compose(X1,X2))),X1)
| ~ defined(X1,X2)
| ~ defined(X0,codomain(compose(X1,X2))) ),
inference(superposition,[status(thm)],[c_407695,c_355311]) ).
tcf(c_408865,plain,
! [X0: $i] :
( defined(compose(X0,codomain(g)),h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_407695,c_408251]) ).
tcf(c_408866,plain,
! [X0: $i] :
( defined(domain(compose(X0,codomain(codomain(c)))),c)
| ~ defined(X0,codomain(codomain(c))) ),
inference(superposition,[status(thm)],[c_407695,c_370608]) ).
tcf(c_408867,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,codomain(compose(d,X1))),c)
| ~ product(g,X1,X2)
| ~ defined(X0,codomain(compose(d,X1))) ),
inference(superposition,[status(thm)],[c_407695,c_359381]) ).
tcf(c_408868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ product(g,X1,X3)
| ~ defined(X0,codomain(compose(d,X1)))
| ~ product(compose(X0,codomain(compose(d,X1))),c,X2) ),
inference(superposition,[status(thm)],[c_407695,c_359379]) ).
tcf(c_408869,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(d,codomain(X0))
| ~ product(g,codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_407695,c_359383]) ).
tcf(c_408870,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(d,codomain(X0))
| ~ product(X1,X0,X2)
| ~ product(g,codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_407695,c_359382]) ).
tcf(c_408871,plain,
! [X0: $i] :
( defined(compose(X0,codomain(domain(h))),c)
| ~ identity_map(d)
| ~ defined(X0,codomain(domain(h))) ),
inference(superposition,[status(thm)],[c_407695,c_361174]) ).
tcf(c_408872,plain,
! [X0: $i] :
( defined(compose(X0,codomain(domain(b))),h)
| ~ defined(X0,codomain(domain(b))) ),
inference(superposition,[status(thm)],[c_407695,c_407989]) ).
tcf(c_408873,plain,
! [X0: $i] :
( defined(compose(X0,codomain(domain(g))),c)
| ~ identity_map(d)
| ~ defined(X0,codomain(domain(g))) ),
inference(superposition,[status(thm)],[c_407695,c_359527]) ).
tcf(c_408874,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),h)
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408865,c_400800]) ).
tcf(c_408889,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),g)
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408846,c_400800]) ).
tcf(c_408892,plain,
! [X0: $i] :
( defined(compose(X0,domain(a)),b)
| ~ defined(X0,domain(a)) ),
inference(light_normalisation,[status(thm)],[c_408845,c_383075]) ).
tcf(c_408927,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(g,domain(h)))
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408850,c_400864]) ).
tcf(c_408930,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(h,domain(g)))
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408849,c_400863]) ).
tcf(c_408933,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(h,domain(d)))
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408848,c_400856]) ).
tcf(c_408936,plain,
! [X0: $i] :
( defined(compose(X0,domain(b)),compose(g,domain(d)))
| ~ defined(X0,domain(b)) ),
inference(light_normalisation,[status(thm)],[c_408847,c_400852]) ).
tcf(c_409047,plain,
! [X0: $i] :
( defined(compose(X0,c),h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_356275,c_57850]) ).
tcf(c_409054,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_409047,c_81]) ).
tcf(c_409056,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(d,d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_409047,c_359383]) ).
tcf(c_409057,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,d)
| ~ product(g,c,X0)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_409047,c_359382]) ).
tcf(c_409132,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_356560,c_58531]) ).
tcf(c_409139,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,c),X1)
| ~ identity_map(g)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_409132,c_81]) ).
tcf(c_409142,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(d,d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_409132,c_359383]) ).
tcf(c_409143,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,d)
| ~ product(g,c,X0)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_409132,c_359382]) ).
tcf(c_409170,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_389504,c_407992]) ).
tcf(c_409171,plain,
! [X0: $i] :
( defined(domain(X0),b)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_355221,c_407992]) ).
tcf(c_409172,plain,
! [X0: $i] :
( defined(codomain(X0),b)
| ~ identity_map(X0)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_355338,c_407992]) ).
tcf(c_409173,plain,
( defined(codomain(c),b)
| ~ identity_map(d)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_370036,c_407992]) ).
tcf(c_409174,plain,
( defined(codomain(c),b)
| ~ identity_map(a)
| ~ defined(a,domain(a)) ),
inference(superposition,[status(thm)],[c_355458,c_407992]) ).
tcf(c_409175,plain,
( defined(codomain(d),b)
| ~ identity_map(a)
| ~ defined(a,domain(a)) ),
inference(superposition,[status(thm)],[c_355477,c_407992]) ).
tcf(c_409176,plain,
( defined(codomain(d),b)
| ~ identity_map(c)
| ~ defined(c,domain(a)) ),
inference(superposition,[status(thm)],[c_355472,c_407992]) ).
tcf(c_409177,plain,
( defined(domain(b),b)
| ~ defined(c,domain(a)) ),
inference(superposition,[status(thm)],[c_371890,c_407992]) ).
tcf(c_409178,plain,
( defined(domain(h),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_361214,c_407992]) ).
tcf(c_409179,plain,
( defined(h,b)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383249,c_407992]) ).
tcf(c_409180,plain,
( defined(h,b)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383220,c_407992]) ).
tcf(c_409181,plain,
( defined(d,b)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383240,c_407992]) ).
tcf(c_409182,plain,
( defined(d,b)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_383221,c_407992]) ).
tcf(c_409183,plain,
( defined(b,b)
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383251,c_407992]) ).
tcf(c_409184,plain,
( defined(domain(g),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_365812,c_407992]) ).
tcf(c_409185,plain,
( defined(codomain(a),b)
| ~ identity_map(d)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_387577,c_407992]) ).
tcf(c_409186,plain,
( defined(codomain(a),b)
| ~ identity_map(c)
| ~ defined(c,domain(a)) ),
inference(superposition,[status(thm)],[c_387485,c_407992]) ).
tcf(c_409188,plain,
( defined(c,b)
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383216,c_407992]) ).
tcf(c_409189,plain,
( defined(g,b)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_383250,c_407992]) ).
tcf(c_409190,plain,
( defined(g,b)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_383239,c_407992]) ).
tcf(c_409191,plain,
( defined(compose(g,domain(d)),b)
| ~ defined(domain(d),domain(a)) ),
inference(superposition,[status(thm)],[c_385722,c_407992]) ).
tcf(c_409192,plain,
( defined(compose(g,domain(d)),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_358670,c_407992]) ).
tcf(c_409193,plain,
( defined(compose(h,domain(d)),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_367826,c_407992]) ).
tcf(c_409195,plain,
! [X0: $i] :
( defined(codomain(compose(domain(a),X0)),b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_388776,c_407992]) ).
tcf(c_409196,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_389500,c_407992]) ).
tcf(c_409197,plain,
! [X0: $i] :
( defined(compose(X0,codomain(domain(a))),b)
| ~ defined(X0,codomain(domain(a))) ),
inference(superposition,[status(thm)],[c_407695,c_407992]) ).
tcf(c_409198,plain,
( defined(compose(h,domain(g)),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_367830,c_407992]) ).
tcf(c_409199,plain,
( defined(compose(g,domain(h)),b)
| ~ defined(domain(d),domain(a)) ),
inference(superposition,[status(thm)],[c_385717,c_407992]) ).
tcf(c_409200,plain,
( defined(compose(g,domain(h)),b)
| ~ defined(d,domain(a)) ),
inference(superposition,[status(thm)],[c_363062,c_407992]) ).
tcf(c_409253,plain,
( defined(codomain(d),b)
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409175,c_84]) ).
tcf(c_409256,plain,
( defined(codomain(c),b)
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409174,c_84]) ).
tcf(c_409405,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,c),h) = X1 )
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ defined(compose(X0,c),h) ),
inference(superposition,[status(thm)],[c_73,c_359913]) ).
tcf(c_409406,plain,
! [X0: $i,X1: $i] :
( ( X1 = h )
| ~ defined(X0,c)
| ~ identity_map(compose(X0,c))
| ~ product(X0,d,X1)
| ~ defined(compose(X0,c),h) ),
inference(superposition,[status(thm)],[c_88,c_359913]) ).
tcf(c_409407,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,c) = X1 )
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ product(X0,d,X1)
| ~ defined(compose(X0,c),h) ),
inference(superposition,[status(thm)],[c_89,c_359913]) ).
tcf(c_409408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,c)
| ~ product(X0,d,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_358573,c_359913]) ).
tcf(c_409409,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(d,c)
| ~ product(g,c,c)
| ~ product(d,d,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_359389,c_359913]) ).
tcf(c_409410,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(codomain(c),c)
| ~ product(c,h,X1)
| ~ product(codomain(c),d,X0) ),
inference(superposition,[status(thm)],[c_357831,c_359913]) ).
tcf(c_409415,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(c,h,X1)
| ~ product(codomain(c),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409410,c_85]) ).
tcf(c_409448,plain,
( defined(g,domain(c))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_84,c_360454]) ).
tcf(c_409449,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_389504,c_360454]) ).
tcf(c_409450,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_355313,c_360454]) ).
tcf(c_409455,plain,
( defined(g,a)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360458,c_360454]) ).
tcf(c_409456,plain,
! [X0: $i] :
( defined(g,compose(h,X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_359120,c_360454]) ).
tcf(c_409457,plain,
! [X0: $i] :
( defined(g,compose(h,X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_355559,c_360454]) ).
tcf(c_409458,plain,
! [X0: $i] :
( defined(g,compose(g,X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_355929,c_360454]) ).
tcf(c_409461,plain,
( defined(g,c)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360382,c_360454]) ).
tcf(c_409463,plain,
( defined(g,d)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_370159,c_360454]) ).
tcf(c_409467,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_374208,c_360454]) ).
tcf(c_409468,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_361802,c_360454]) ).
tcf(c_409469,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_357047,c_360454]) ).
tcf(c_409470,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_357045,c_360454]) ).
tcf(c_409471,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_356892,c_360454]) ).
tcf(c_409472,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_356890,c_360454]) ).
tcf(c_409488,plain,
( defined(g,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360580,c_360454]) ).
tcf(c_409489,plain,
( defined(g,domain(g))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_365889,c_360454]) ).
tcf(c_409490,plain,
( defined(g,domain(g))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_357044,c_360454]) ).
tcf(c_409498,plain,
( defined(g,codomain(c))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_360537,c_360454]) ).
tcf(c_409503,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_383216,c_360454]) ).
tcf(c_409504,plain,
( defined(g,compose(g,domain(d)))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_358671,c_360454]) ).
tcf(c_409510,plain,
( defined(g,compose(h,domain(d)))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_359121,c_360454]) ).
tcf(c_409511,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_383255,c_360454]) ).
tcf(c_409512,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,c)))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_383578,c_360454]) ).
tcf(c_409513,plain,
! [X0: $i] :
( defined(g,compose(domain(c),X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360454]) ).
tcf(c_409515,plain,
( defined(g,codomain(d))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_372246,c_360454]) ).
tcf(c_409518,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ product(g,X0,c) ),
inference(superposition,[status(thm)],[c_381388,c_360454]) ).
tcf(c_409519,plain,
( defined(g,compose(h,domain(g)))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_365815,c_360454]) ).
tcf(c_409520,plain,
( defined(g,compose(g,domain(h)))
| ~ identity_map(d)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_363063,c_360454]) ).
tcf(c_409594,plain,
! [X0: $i] :
( defined(g,compose(domain(b),X0))
| ~ identity_map(d)
| ~ identity_map(c)
| ~ defined(domain(b),X0) ),
inference(light_normalisation,[status(thm)],[c_409513,c_371446]) ).
tcf(c_409688,plain,
( defined(g,domain(a))
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_84,c_360476]) ).
tcf(c_409690,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_389504,c_360476]) ).
tcf(c_409691,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_355313,c_360476]) ).
tcf(c_409696,plain,
( defined(g,b)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_355191,c_360476]) ).
tcf(c_409699,plain,
( defined(g,g)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_356615,c_360476]) ).
tcf(c_409700,plain,
( defined(g,h)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_356614,c_360476]) ).
tcf(c_409701,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_356611,c_360476]) ).
tcf(c_409702,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_356616,c_360476]) ).
tcf(c_409703,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_356612,c_360476]) ).
tcf(c_409710,plain,
( defined(g,compose(g,domain(d)))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_358793,c_360476]) ).
tcf(c_409713,plain,
! [X0: $i] :
( defined(g,compose(b,X0))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_363567,c_360476]) ).
tcf(c_409714,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_401604,c_360476]) ).
tcf(c_409715,plain,
( defined(g,domain(b))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_401389,c_360476]) ).
tcf(c_409716,plain,
( defined(g,compose(h,domain(d)))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_359204,c_360476]) ).
tcf(c_409718,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,a)))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_383578,c_360476]) ).
tcf(c_409719,plain,
! [X0: $i] :
( defined(g,compose(domain(a),X0))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_384636,c_360476]) ).
tcf(c_409720,plain,
! [X0: $i] :
( defined(g,domain(compose(d,X0)))
| ~ identity_map(d)
| ~ identity_map(a)
| ~ product(g,X0,a) ),
inference(superposition,[status(thm)],[c_381388,c_360476]) ).
tcf(c_409721,plain,
( defined(g,compose(h,domain(g)))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_366098,c_360476]) ).
tcf(c_409722,plain,
( defined(g,compose(g,domain(h)))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_363133,c_360476]) ).
tcf(c_409913,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ identity_map(domain(a))
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_409688,c_81]) ).
tcf(c_409914,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_367128]) ).
tcf(c_409915,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_366693]) ).
tcf(c_409916,plain,
( defined(h,domain(a))
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_366580]) ).
tcf(c_409917,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_366010]) ).
tcf(c_409918,plain,
( defined(b,domain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_355344]) ).
tcf(c_409919,plain,
( defined(c,domain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409688,c_355341]) ).
tcf(c_409943,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409913,c_82]) ).
tcf(c_409972,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_409253,c_81]) ).
tcf(c_409973,plain,
( defined(c,b)
| ~ identity_map(a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_409253,c_375534]) ).
tcf(c_409974,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_409253,c_366978]) ).
tcf(c_409975,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_409253,c_366845]) ).
tcf(c_409976,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_409253,c_362459]) ).
tcf(c_409977,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_409253,c_361818]) ).
tcf(c_409978,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_409253,c_356115]) ).
tcf(c_409979,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_409253,c_356106]) ).
tcf(c_409980,plain,
( defined(b,b)
| ~ identity_map(a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_409253,c_356097]) ).
tcf(c_409981,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_409253,c_355510]) ).
tcf(c_409982,plain,
( defined(b,b)
| ~ identity_map(a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_409253,c_395703]) ).
tcf(c_409983,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_409253,c_395671]) ).
tcf(c_409984,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_409253,c_395656]) ).
tcf(c_409985,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_409253,c_395639]) ).
tcf(c_409986,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_409253,c_395624]) ).
tcf(c_409987,plain,
( defined(c,b)
| ~ identity_map(a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_409253,c_395185]) ).
tcf(c_409988,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_409253,c_395065]) ).
tcf(c_409989,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_409253,c_395050]) ).
tcf(c_409991,plain,
( defined(c,b)
| ~ identity_map(a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_409253,c_375741]) ).
tcf(c_409992,plain,
( defined(b,b)
| ~ identity_map(a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_409253,c_375716]) ).
tcf(c_409993,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_409253,c_375256]) ).
tcf(c_409994,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_409253,c_375241]) ).
tcf(c_409995,plain,
( defined(d,b)
| ~ identity_map(a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_409253,c_375224]) ).
tcf(c_409996,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_409253,c_375209]) ).
tcf(c_409997,plain,
( defined(h,b)
| ~ identity_map(a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_409253,c_375192]) ).
tcf(c_409998,plain,
( defined(g,b)
| ~ identity_map(a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_409253,c_375177]) ).
tcf(c_409999,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_409253,c_374786]) ).
tcf(c_410000,plain,
( defined(d,b)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409253,c_372302]) ).
tcf(c_410002,plain,
( defined(h,b)
| ~ identity_map(d)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_409253,c_372264]) ).
tcf(c_410249,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_409256,c_81]) ).
tcf(c_410291,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(b)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_389504,c_407993]) ).
tcf(c_410292,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_355221,c_407993]) ).
tcf(c_410293,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(X0)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_355338,c_407993]) ).
tcf(c_410294,plain,
( defined(codomain(c),g)
| ~ identity_map(d)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_370036,c_407993]) ).
tcf(c_410295,plain,
( defined(codomain(c),g)
| ~ identity_map(a)
| ~ defined(a,domain(b)) ),
inference(superposition,[status(thm)],[c_355458,c_407993]) ).
tcf(c_410296,plain,
( defined(codomain(d),g)
| ~ identity_map(a)
| ~ defined(a,domain(b)) ),
inference(superposition,[status(thm)],[c_355477,c_407993]) ).
tcf(c_410300,plain,
( defined(domain(h),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_361214,c_407993]) ).
tcf(c_410301,plain,
( defined(domain(g),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_365812,c_407993]) ).
tcf(c_410302,plain,
( defined(codomain(a),g)
| ~ identity_map(d)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_387577,c_407993]) ).
tcf(c_410305,plain,
( defined(compose(g,domain(d)),g)
| ~ defined(domain(d),domain(b)) ),
inference(superposition,[status(thm)],[c_385722,c_407993]) ).
tcf(c_410306,plain,
( defined(compose(g,domain(d)),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_358670,c_407993]) ).
tcf(c_410309,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_401389,c_407993]) ).
tcf(c_410310,plain,
( defined(compose(h,domain(d)),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_367826,c_407993]) ).
tcf(c_410311,plain,
( defined(d,g)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_401589,c_407993]) ).
tcf(c_410312,plain,
( defined(d,g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401570,c_407993]) ).
tcf(c_410313,plain,
( defined(d,g)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_401374,c_407993]) ).
tcf(c_410314,plain,
( defined(d,g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401355,c_407993]) ).
tcf(c_410315,plain,
! [X0: $i] :
( defined(codomain(compose(domain(b),X0)),g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_388776,c_407993]) ).
tcf(c_410316,plain,
! [X0: $i] :
( defined(compose(X0,b),g)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_389500,c_407993]) ).
tcf(c_410317,plain,
! [X0: $i] :
( defined(compose(X0,codomain(domain(b))),g)
| ~ defined(X0,codomain(domain(b))) ),
inference(superposition,[status(thm)],[c_407695,c_407993]) ).
tcf(c_410318,plain,
( defined(compose(h,domain(g)),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_367830,c_407993]) ).
tcf(c_410319,plain,
( defined(g,g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_401599,c_407993]) ).
tcf(c_410320,plain,
( defined(g,g)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_401588,c_407993]) ).
tcf(c_410321,plain,
( defined(g,g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_401384,c_407993]) ).
tcf(c_410322,plain,
( defined(g,g)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_401373,c_407993]) ).
tcf(c_410323,plain,
( defined(h,g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_401598,c_407993]) ).
tcf(c_410324,plain,
( defined(h,g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_401569,c_407993]) ).
tcf(c_410325,plain,
( defined(h,g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_401383,c_407993]) ).
tcf(c_410326,plain,
( defined(h,g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_401354,c_407993]) ).
tcf(c_410327,plain,
( defined(compose(g,domain(h)),g)
| ~ defined(domain(d),domain(b)) ),
inference(superposition,[status(thm)],[c_385717,c_407993]) ).
tcf(c_410328,plain,
( defined(compose(g,domain(h)),g)
| ~ defined(d,domain(b)) ),
inference(superposition,[status(thm)],[c_363062,c_407993]) ).
tcf(c_410446,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_410328,c_410327,c_410318,c_410317,c_410310,c_410306,c_410305,c_410296,c_410295,c_410294,c_409720,c_409719,c_409594,c_409518,c_409515,c_409513,c_409498,c_409490,c_409489,c_409488,c_409468,c_409463,c_409461,c_409448,c_409200,c_409199,c_409198,c_409197,c_409196,c_409195,c_409193,c_409192,c_409191,c_409189,c_409188,c_409186,c_409185,c_409184,c_409183,c_409179,c_409176,c_409175,c_409174,c_409173,c_409143,c_409142,c_409057,c_409056,c_408936,c_408933,c_408930,c_408927,c_408892,c_408889,c_408874,c_408873,c_408872,c_408871,c_408870,c_408869,c_408868,c_408867,c_408866,c_408865,c_408864,c_408863,c_408862,c_408861,c_408860,c_408859,c_408858,c_408857,c_408856,c_408855,c_408854,c_408853,c_408852,c_408851,c_408850,c_408849,c_408848,c_408847,c_408846,c_408845,c_408844,c_408843,c_408842,c_408835,c_408827,c_408829,c_408270,c_408269,c_408260,c_408253,c_408249,c_408248,c_408239,c_408238,c_408237,c_407997,c_407996,c_407995,c_407994,c_407988,c_407987,c_407986,c_407954,c_407950,c_407747,c_407743,c_407714,c_407713,c_407712,c_407711,c_407710,c_407709,c_407706,c_407703,c_407701,c_407700,c_407699,c_407502,c_407501,c_407496,c_407495,c_407452,c_407445,c_407444,c_407446,c_407148,c_407147,c_407140,c_407139,c_407044,c_407039,c_407036,c_407035,c_407028,c_407027,c_407025,c_407024,c_407023,c_407007,c_407000,c_406999,c_407001,c_406691,c_406682,c_406681,c_406626,c_406466,c_406462,c_406457,c_406456,c_406451,c_406450,c_406324,c_406319,c_406308,c_406307,c_408624,c_406231,c_406229,c_406221,c_406214,c_406213,c_406215,c_406132,c_406129,c_406010,c_405992,c_405987,c_405986,c_405985,c_405984,c_405978,c_405930,c_405925,c_405914,c_405913,c_405863,c_405861,c_405855,c_405852,c_405697,c_405679,c_405674,c_405673,c_405672,c_405671,c_405665,c_404475,c_404474,c_404468,c_404467,c_404450,c_404447,c_404440,c_404436,c_404429,c_404418,c_404406,c_404383,c_404382,c_404353,c_404351,c_404341,c_404329,c_404315,c_404303,c_404237,c_404232,c_404222,c_404221,c_404129,c_404127,c_404121,c_404118,c_403913,c_403895,c_403890,c_403889,c_403888,c_403887,c_403881,c_403857,c_403839,c_403830,c_403825,c_402840,c_402839,c_402833,c_402832,c_402815,c_402812,c_402805,c_402801,c_402794,c_402783,c_402772,c_402749,c_402748,c_402719,c_402717,c_402707,c_402695,c_402681,c_402669,c_402655,c_402643,c_402634,c_402629,c_402624,c_402617,c_402616,c_402618,c_402614,c_402607,c_402606,c_402608,c_402504,c_402499,c_402490,c_402489,c_402383,c_402381,c_402375,c_402372,c_402172,c_402154,c_402149,c_402148,c_402147,c_402146,c_402140,c_402048,c_401600,c_401582,c_401577,c_401576,c_401575,c_401574,c_401568,c_401561,c_401519,c_401385,c_401367,c_401362,c_401361,c_401360,c_401359,c_401353,c_401346,c_400938,c_400862,c_400859,c_400825,c_400820,c_400819,c_400818,c_400817,c_400815,c_400796,c_400683,c_400678,c_400669,c_400668,c_400666,c_400665,c_400664,c_400260,c_400259,c_400255,c_400246,c_400245,c_400243,c_400242,c_400063,c_399851,c_399850,c_399847,c_399838,c_399837,c_399835,c_399834,c_399635,c_399634,c_399630,c_399621,c_399620,c_399618,c_399617,c_398790,c_398789,c_398776,c_398775,c_398410,c_398408,c_398404,c_398395,c_398394,c_398392,c_398391,c_398231,c_398227,c_398218,c_398217,c_398113,c_397877,c_397702,c_397697,c_397688,c_397687,c_397546,c_397541,c_397532,c_397531,c_397223,c_397222,c_397214,c_397213,c_397205,c_397204,c_397203,c_397202,c_397201,c_397195,c_397192,c_397187,c_397139,c_397041,c_397025,c_397024,c_397023,c_396935,c_396930,c_396921,c_396920,c_396916,c_396781,c_396777,c_396772,c_396707,c_396623,c_396453,c_396448,c_396446,c_396435,c_396433,c_396368,c_396367,c_396365,c_396356,c_396355,c_396353,c_396352,c_396279,c_396278,c_396275,c_396266,c_396265,c_396263,c_396262,c_396037,c_396034,c_396025,c_396024,c_396020,c_395961,c_395952,c_395948,c_395865,c_395864,c_395858,c_395851,c_395850,c_395837,c_395793,c_395791,c_395788,c_395787,c_395786,c_395785,c_395784,c_395783,c_395782,c_395765,c_395764,c_395721,c_395720,c_395719,c_395718,c_395715,c_395574,c_395573,c_395563,c_395558,c_395557,c_395544,c_395272,c_395270,c_395258,c_395257,c_395255,c_395254,c_395242,c_395241,c_395217,c_395201,c_395200,c_395199,c_395198,c_395197,c_394791,c_394790,c_394666,c_394665,c_394417,c_394407,c_394402,c_394397,c_394368,c_394367,c_394366,c_394365,c_394364,c_394363,c_394362,c_394361,c_394360,c_394359,c_394358,c_394357,c_394356,c_394355,c_393933,c_393932,c_393928,c_393926,c_393924,c_393922,c_393919,c_393917,c_393915,c_393913,c_393911,c_393910,c_393875,c_393874,c_393873,c_393872,c_393871,c_393870,c_393869,c_393868,c_393867,c_393866,c_393360,c_393359,c_393351,c_393349,c_393347,c_393345,c_393344,c_393342,c_393340,c_393338,c_393336,c_393311,c_393310,c_393309,c_393308,c_393307,c_393306,c_393305,c_393304,c_393303,c_393129,c_393128,c_392910,c_392909,c_392677,c_392667,c_392666,c_392123,c_392122,c_392083,c_392081,c_392077,c_391851,c_391833,c_391831,c_391825,c_391824,c_391815,c_391814,c_391811,c_391808,c_391800,c_391191,c_391185,c_391183,c_391176,c_391173,c_391140,c_391138,c_391136,c_391129,c_391123,c_391119,c_391013,c_391012,c_390970,c_390968,c_390963,c_390845,c_390836,c_389881,c_389880,c_389852,c_389851,c_389846,c_389844,c_389840,c_389813,c_389812,c_389805,c_389727,c_389721,c_389718,c_389716,c_389709,c_389537,c_389536,c_389534,c_389533,c_389524,c_389521,c_389520,c_389513,c_389508,c_389507,c_389349,c_389334,c_389333,c_389332,c_389331,c_389306,c_389262,c_389261,c_389259,c_388709,c_388706,c_388683,c_388679,c_388673,c_388672,c_388670,c_388668,c_388445,c_388442,c_388419,c_388415,c_388410,c_387960,c_387958,c_387957,c_387955,c_387954,c_387953,c_387949,c_387911,c_387910,c_387908,c_387739,c_387431,c_387429,c_387417,c_387414,c_387219,c_387218,c_387217,c_387216,c_387108,c_387107,c_387106,c_387105,c_387096,c_387032,c_387031,c_387030,c_387029,c_387027,c_387026,c_387025,c_387024,c_387023,c_386318,c_386317,c_386279,c_386241,c_386205,c_386191,c_386119,c_386118,c_386009,c_386008,c_385837,c_385836,c_385835,c_385834,c_385833,c_385832,c_385831,c_385830,c_385829,c_385828,c_385811,c_385797,c_385729,c_385721,c_385080,c_385076,c_385072,c_385068,c_385064,c_385060,c_385056,c_385052,c_385048,c_384871,c_384790,c_384775,c_384774,c_384773,c_384772,c_384771,c_384770,c_384769,c_384768,c_384767,c_384766,c_384765,c_384764,c_384763,c_384762,c_384761,c_384760,c_384759,c_384758,c_384757,c_384756,c_384755,c_384754,c_384753,c_384752,c_384751,c_384750,c_384749,c_384748,c_384747,c_384746,c_384745,c_384744,c_384743,c_384742,c_384741,c_384740,c_384739,c_384738,c_384737,c_384736,c_384735,c_384734,c_384733,c_384732,c_384731,c_384730,c_384729,c_384728,c_384727,c_384726,c_384725,c_384724,c_384723,c_384722,c_384721,c_384720,c_384719,c_384718,c_384717,c_384716,c_384715,c_384714,c_384713,c_384712,c_384711,c_384710,c_384709,c_384708,c_384707,c_384706,c_384705,c_384704,c_384703,c_384702,c_384701,c_384700,c_384699,c_384698,c_384697,c_384696,c_384695,c_384694,c_384693,c_384692,c_384691,c_384690,c_384689,c_384688,c_384687,c_384686,c_384685,c_384684,c_384683,c_384682,c_384681,c_384680,c_384679,c_384678,c_384677,c_384676,c_384675,c_384674,c_384673,c_384672,c_384671,c_384670,c_384669,c_384668,c_384667,c_384666,c_384665,c_384664,c_384663,c_384662,c_384661,c_384642,c_383889,c_383871,c_383870,c_383869,c_383755,c_383753,c_383751,c_383750,c_383749,c_383600,c_383598,c_383583,c_383504,c_383238,c_383237,c_383094,c_383092,c_383082,c_383081,c_383070,c_383024,c_382942,c_382862,c_382858,c_382853,c_382852,c_382717,c_382713,c_382709,c_382708,c_382707,c_382705,c_382535,c_382532,c_382425,c_382417,c_381836,c_381833,c_381830,c_381541,c_381540,c_381539,c_381538,c_381537,c_381536,c_381535,c_381534,c_381533,c_381532,c_381531,c_381530,c_381529,c_381528,c_381527,c_381526,c_381525,c_381524,c_381523,c_381522,c_381521,c_381520,c_381519,c_381518,c_381517,c_381516,c_381515,c_381514,c_381513,c_381512,c_381511,c_381510,c_381509,c_381508,c_381507,c_381506,c_381505,c_381504,c_381503,c_381502,c_381501,c_381500,c_381499,c_381498,c_381497,c_381496,c_381495,c_381494,c_381493,c_381492,c_381491,c_381490,c_381489,c_381488,c_381487,c_381486,c_381485,c_381484,c_381483,c_381482,c_381481,c_381480,c_381479,c_381478,c_381477,c_381476,c_381475,c_381474,c_381473,c_381472,c_381471,c_381470,c_381469,c_381468,c_381467,c_381466,c_381465,c_381464,c_381463,c_381462,c_381461,c_381460,c_381459,c_381458,c_381457,c_381456,c_381455,c_381454,c_381453,c_381452,c_381451,c_381450,c_381449,c_381448,c_381447,c_381446,c_381445,c_381444,c_381443,c_381442,c_381441,c_381440,c_381439,c_381438,c_381437,c_381436,c_381435,c_381434,c_381433,c_381393,c_381392,c_381391,c_381390,c_381389,c_381388,c_381172,c_381094,c_381024,c_381023,c_381022,c_381021,c_381020,c_381019,c_380845,c_380844,c_380843,c_380842,c_380841,c_380840,c_380839,c_380838,c_380837,c_380836,c_380835,c_380816,c_380815,c_380814,c_380813,c_380730,c_380729,c_380728,c_380727,c_380726,c_380725,c_380724,c_380721,c_380720,c_380719,c_380718,c_380717,c_380352,c_380351,c_380350,c_380349,c_380347,c_380346,c_380345,c_380344,c_380342,c_380339,c_380338,c_380337,c_380335,c_380334,c_380333,c_380332,c_380330,c_380007,c_380006,c_380005,c_380004,c_380003,c_380002,c_380001,c_380000,c_379999,c_379998,c_379997,c_379996,c_379995,c_379994,c_379657,c_379656,c_379655,c_379654,c_379542,c_379482,c_379108,c_379107,c_379106,c_379105,c_379104,c_379103,c_379102,c_379101,c_379064,c_379063,c_379046,c_378749,c_378748,c_378731,c_378345,c_377976,c_377906,c_377589,c_377521,c_377490,c_376715,c_376714,c_376710,c_376709,c_376686,c_376682,c_376681,c_376674,c_376661,c_376660,c_376657,c_376655,c_376654,c_376489,c_375755,c_375551,c_374597,c_374596,c_374594,c_374522,c_374521,c_374453,c_374325,c_373782,c_373773,c_373256,c_373247,c_373234,c_372817,c_372454,c_372310,c_372106,c_371977,c_371596,c_371427,c_371426,c_371410,c_371409,c_371399,c_370665,c_370664,c_370660,c_370659,c_370633,c_370632,c_370612,c_370610,c_370608,c_370347,c_369997,c_407698,c_407697,c_407695,c_407689,c_384636,c_384630,c_368213,c_367873,c_367828,c_367827,c_367825,c_367814,c_367811,c_367800,c_367798,c_367561,c_367560,c_367559,c_367558,c_367425,c_367378,c_367376,c_36737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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.52 % Computer : n012.cluster.edu
% 0.03/10.52 % Model : x86_64 x86_64
% 0.03/10.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.52 % Memory : 8046.5625MB
% 0.03/10.52 % OS : Linux 6.8.0-71-generic
% 0.03/10.52 % CPULimit : 300
% 0.03/10.52 % WCLimit : 300
% 0.03/10.52 % DateTime : Fri Sep 25 06:50:11 UTC 2026
% 0.03/10.52 % CPUTime :
% 0.03/10.52 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.54 Running first-order theorem proving
% 0.03/10.55 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/10.55
% 0.03/10.55 % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.55
% 0.03/10.55 % Detected problem language: tptp
% 0.03/10.56 % Proving...
% 77.44/23.34 % SZS status Started for theBenchmark.p
% 77.44/23.34 % SZS status Unsatisfiable for theBenchmark.p
% 77.44/23.34
% 77.44/23.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 77.44/23.34
% 77.44/23.34 % ------ iProver source info
% 77.44/23.34
% 77.44/23.34 % git: date: 2026-07-19 20:42:38 +0200
% 77.44/23.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 77.44/23.34 % git: non_committed_changes: false
% 77.44/23.34
% 77.44/23.34 % ------ Parsing...% successful
% 77.44/23.34
% 77.44/23.34
% 77.44/23.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 77.44/23.34
% 77.44/23.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 77.44/23.34
% 77.44/23.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 77.44/23.34
% 77.44/23.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 77.44/23.34 % ------ Proving...
% 77.44/23.34 % ------ Problem Properties
% 77.44/23.34
% 77.44/23.34 %
% 77.44/23.34 % clauses 24
% 77.44/23.34 % conjectures 1
% 77.44/23.34 % EPR 17
% 77.44/23.34 % Horn 24
% 77.44/23.34 % unary 10
% 77.44/23.34 % binary 2
% 77.44/23.34 % lits 55
% 77.44/23.34 % lits eq 4
% 77.44/23.34 % fd_pure 0
% 77.44/23.34 % fd_pseudo 0
% 77.44/23.34 % fd_cond 0
% 77.44/23.34 % fd_pseudo_cond 3
% 77.44/23.34 % AC symbols 0
% 77.44/23.34
% 77.44/23.34 % ------ Schedule dynamic 5 is on
% 77.44/23.34
% 77.44/23.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 77.44/23.34
% 77.44/23.34
% 77.44/23.34 % ------
% 77.44/23.34 % Current options:
% 77.44/23.34 % ------
% 77.44/23.34
% 77.44/23.34
% 77.44/23.34 %
% 77.44/23.34
% 77.44/23.34 % ------ Proving...
% 77.44/23.34 % Proof_search_loop: time out after: 10137 full_loop iterations
% 77.44/23.34
% 77.44/23.34 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 77.44/23.34
% 77.44/23.34
% 77.44/23.34 % ------
% 77.44/23.34 % Current options:
% 77.44/23.34 % ------
% 77.44/23.34
% 77.44/23.34
% 77.44/23.34 %
% 77.44/23.34
% 77.44/23.34 % ------ Proving...
% 77.44/23.34 %
% 77.44/23.34
% 77.44/23.34 % SZS status Unsatisfiable for theBenchmark.p
% 77.44/23.34
% 77.44/23.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.15/23.41
% 90.15/23.41
%------------------------------------------------------------------------------