%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:01:04 PM UTC 2026
% Result : Unsatisfiable 103.56s 15.01s
% Output : CNFRefutation 103.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 6770 ( 346 unt; 0 def)
% Number of atoms : 20731 ( 524 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 27936 (13975 ~;13961 |; 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 : 5713 ( 0 sgn5713 !; 0 ?;5655 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
fof(f2,axiom,
! [X2,X0,X1] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ product(X2,a,X1)
| ~ product(X0,a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ product(X2,b,X1)
| ~ product(X0,b,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f22,axiom,
product(h,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hc_equals_d) ).
fof(f23,axiom,
product(g,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gc_equals_d) ).
fof(f24,negated_conjecture,
h != g,
file('/export/starexec/sandbox/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(X2,a,X1)
| ~ product(X0,a,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ product(X2,b,X1)
| ~ product(X0,b,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_93,plain,
product(a,b,c),
inference(cnf_transformation,[],[f21]) ).
tcf(c_94,plain,
product(h,c,d),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,plain,
product(g,c,d),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,plain,
identity_map(codomain(a)),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_99,plain,
defined(codomain(a),a),
inference(instantiation,[status(thm)],[c_85]) ).
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(h,c),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_687,plain,
defined(g,c),
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(c,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_94,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_739,plain,
defined(b,domain(c)),
inference(superposition,[status(thm)],[c_84,c_711]) ).
tcf(c_744,plain,
defined(c,domain(d)),
inference(superposition,[status(thm)],[c_84,c_712]) ).
tcf(c_745,plain,
defined(b,domain(d)),
inference(superposition,[status(thm)],[c_744,c_711]) ).
tcf(c_756,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_757,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_94,c_78]) ).
tcf(c_758,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_95,c_78]) ).
tcf(c_759,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_761,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_791,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_792,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_76]) ).
tcf(c_793,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_796,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_797,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_839,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_840,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_845,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_739,c_81]) ).
tcf(c_847,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_745,c_81]) ).
tcf(c_860,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_847,c_82]) ).
tcf(c_866,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_845,c_82]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_839,c_82]) ).
tcf(c_884,plain,
! [X0: $i] :
( ( h = g )
| ~ product(g,a,X0)
| ~ product(h,a,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_885,plain,
( ( h = g )
| ~ product(g,a,a)
| ~ product(h,a,a) ),
inference(instantiation,[status(thm)],[c_884]) ).
tcf(c_888,plain,
! [X0: $i] :
( ( h = g )
| ( g != X0 )
| ( h != X0 ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_903,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_94,c_90]) ).
tcf(c_904,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_905,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_906,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(X0,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_90]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(codomain(X0),X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_90]) ).
tcf(c_952,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ product(X0,a,a) ),
inference(superposition,[status(thm)],[c_87,c_91]) ).
tcf(c_1013,plain,
defined(codomain(c),a),
inference(superposition,[status(thm)],[c_85,c_756]) ).
tcf(c_1014,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_715,c_756]) ).
tcf(c_1015,plain,
defined(h,a),
inference(superposition,[status(thm)],[c_686,c_756]) ).
tcf(c_1016,plain,
defined(g,a),
inference(superposition,[status(thm)],[c_687,c_756]) ).
tcf(c_1041,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_715,c_757]) ).
tcf(c_1057,plain,
defined(codomain(d),g),
inference(superposition,[status(thm)],[c_85,c_758]) ).
tcf(c_1058,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_715,c_758]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X2),X0)
| ~ defined(codomain(X2),X2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_1074,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_761,c_81]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1074,c_83]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(codomain(X0))
| ~ defined(X2,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_1094,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_715,c_860]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X0,X3)
| ~ defined(codomain(X2),X2)
| ~ product(X1,X2,X3)
| ~ product(X0,X1,codomain(X2)) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_1116,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_761,c_1094]) ).
tcf(c_1126,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_792]) ).
tcf(c_1154,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_1155,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_94,c_79]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_95,c_79]) ).
tcf(c_1158,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_1214,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_77]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_77]) ).
tcf(c_1253,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,b,X2)
| ~ product(a,b,c)
| ~ product(X0,c,X2)
| ~ product(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,d,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_94,c_80]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ product(X0,g,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_1357,plain,
h = h,
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] :
( ( h = X0 )
| ( h != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_1403,plain,
! [X0: $i] : defined(X0,domain(domain(X0))),
inference(superposition,[status(thm)],[c_84,c_869]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_761,c_869]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(X0)))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_1403,c_81]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1410,c_82]) ).
tcf(c_1550,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_793]) ).
tcf(c_1768,plain,
g = g,
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_1889,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_1155]) ).
tcf(c_2045,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_1041,c_1418]) ).
tcf(c_2046,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_1058,c_1418]) ).
tcf(c_2133,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_1156]) ).
tcf(c_2532,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_1214]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i] :
( product(h,X0,X1)
| ~ identity_map(c)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_1214]) ).
tcf(c_2534,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_1214]) ).
tcf(c_2650,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_88,c_906]) ).
tcf(c_2653,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2650,c_84]) ).
tcf(c_2768,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_2653]) ).
tcf(c_3222,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_1058,c_1405]) ).
tcf(c_3355,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(codomain(c),c)
| ~ product(g,c,d)
| ~ product(X0,g,codomain(c)) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i] :
( product(g,compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_1215]) ).
tcf(c_3478,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_1215]) ).
tcf(c_3479,plain,
! [X0: $i,X1: $i] :
( product(g,X0,X1)
| ~ identity_map(c)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_1215]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] :
( product(g,c,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_1215]) ).
tcf(c_3529,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_89,c_907]) ).
tcf(c_3531,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3529,c_85]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),c,X1)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_1311]) ).
tcf(c_3729,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_1311]) ).
tcf(c_3730,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ identity_map(X0)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_1311]) ).
tcf(c_3731,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_1311]) ).
tcf(c_3753,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_3531]) ).
tcf(c_3831,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_88,c_952]) ).
tcf(c_4037,plain,
! [X0: $i,X1: $i] :
( product(X1,c,compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_73,c_1312]) ).
tcf(c_4038,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_87,c_1312]) ).
tcf(c_4039,plain,
! [X0: $i,X1: $i] :
( product(X1,c,d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_88,c_1312]) ).
tcf(c_4040,plain,
! [X0: $i,X1: $i] :
( product(X1,c,X0)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_89,c_1312]) ).
tcf(c_4318,plain,
( product(h,c,compose(d,domain(c)))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_73,c_2532]) ).
tcf(c_4319,plain,
( product(h,c,domain(c))
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_88,c_2532]) ).
tcf(c_4347,plain,
! [X0: $i] :
( product(h,X0,compose(d,X0))
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_2533]) ).
tcf(c_4441,plain,
! [X0: $i] :
( product(h,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_2534]) ).
tcf(c_4443,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_88,c_2534]) ).
tcf(c_4460,plain,
( product(g,c,compose(d,domain(c)))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_73,c_3478]) ).
tcf(c_4461,plain,
( product(g,c,domain(c))
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_88,c_3478]) ).
tcf(c_4472,plain,
( product(h,c,compose(codomain(h),d))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_73,c_3729]) ).
tcf(c_4474,plain,
( product(h,c,codomain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_89,c_3729]) ).
tcf(c_4484,plain,
( product(compose(codomain(d),g),c,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_73,c_4038]) ).
tcf(c_4487,plain,
product(compose(codomain(d),g),c,d),
inference(forward_subsumption_resolution,[status(thm)],[c_4484,c_1057]) ).
tcf(c_4496,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_4487,c_78]) ).
tcf(c_4653,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(c,X0))
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_3477,c_74]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,domain(X1))
| ~ product(X0,domain(X1),X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_4847,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_840,c_757]) ).
tcf(c_4908,plain,
! [X0: $i] :
( product(g,X0,compose(d,X0))
| ~ identity_map(c)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_3479]) ).
tcf(c_5054,plain,
! [X0: $i] :
( product(g,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_3480]) ).
tcf(c_5056,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_88,c_3480]) ).
tcf(c_5110,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_3728,c_75]) ).
tcf(c_5111,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_3728,c_74]) ).
tcf(c_5303,plain,
! [X0: $i] :
( product(h,c,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_3730]) ).
tcf(c_5306,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_89,c_3730]) ).
tcf(c_5517,plain,
! [X0: $i] :
( ( h = X0 )
| ( h != h )
| ( X0 != h ) ),
inference(instantiation,[status(thm)],[c_1358]) ).
tcf(c_5656,plain,
! [X0: $i] :
( product(X0,c,compose(X0,d))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_3731]) ).
tcf(c_5658,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_88,c_3731]) ).
tcf(c_5659,plain,
! [X0: $i] :
( product(X0,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_89,c_3731]) ).
tcf(c_5962,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_4037,c_75]) ).
tcf(c_5970,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ defined(X0,d)
| ~ product(X0,g,codomain(c)) ),
inference(superposition,[status(thm)],[c_4037,c_907]) ).
tcf(c_6080,plain,
! [X0: $i] :
( product(h,X0,compose(h,X0))
| ~ defined(h,X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_6081,plain,
( product(h,a,compose(h,a))
| ~ defined(h,a) ),
inference(instantiation,[status(thm)],[c_6080]) ).
tcf(c_6090,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(codomain(X0))
| ~ defined(h,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_6197,plain,
! [X0: $i] :
( product(compose(X0,g),c,d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_4039]) ).
tcf(c_6483,plain,
defined(codomain(c),c),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6508,plain,
! [X0: $i] :
( product(compose(X0,g),c,X0)
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_4040]) ).
tcf(c_6509,plain,
( product(g,c,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_87,c_4040]) ).
tcf(c_6510,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_88,c_4040]) ).
tcf(c_6544,plain,
! [X0: $i] :
( defined(a,compose(b,X0))
| ~ defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_73,c_791]) ).
tcf(c_7088,plain,
! [X0: $i,X1: $i] :
( ( g = X0 )
| ( g != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_7158,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_73,c_1154]) ).
tcf(c_12041,plain,
( ( codomain(a) = codomain(c) )
| ~ identity_map(codomain(c)) ),
inference(superposition,[status(thm)],[c_1013,c_3831]) ).
tcf(c_12044,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(domain(X0))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_1014,c_3831]) ).
tcf(c_12056,plain,
codomain(a) = codomain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_12041,c_83]) ).
tcf(c_12065,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ defined(X0,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12044,c_82]) ).
tcf(c_12140,plain,
product(codomain(a),c,c),
inference(superposition,[status(thm)],[c_12056,c_87]) ).
tcf(c_12141,plain,
defined(codomain(a),c),
inference(superposition,[status(thm)],[c_12056,c_85]) ).
tcf(c_12695,plain,
! [X0: $i] :
( product(h,X0,compose(d,X0))
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4347,c_712,c_4347]) ).
tcf(c_12706,plain,
! [X0: $i] :
( ( X0 = h )
| ~ identity_map(c)
| ~ defined(d,a)
| ~ product(X0,a,compose(d,a)) ),
inference(superposition,[status(thm)],[c_12695,c_91]) ).
tcf(c_13070,plain,
domain(h) = codomain(a),
inference(superposition,[status(thm)],[c_686,c_12065]) ).
tcf(c_13071,plain,
domain(g) = codomain(a),
inference(superposition,[status(thm)],[c_687,c_12065]) ).
tcf(c_13098,plain,
product(domain(h),c,c),
inference(demodulation,[status(thm)],[c_12140,c_13070]) ).
tcf(c_13099,plain,
defined(domain(h),c),
inference(demodulation,[status(thm)],[c_12141,c_13070]) ).
tcf(c_13233,plain,
defined(domain(h),a),
inference(superposition,[status(thm)],[c_13099,c_756]) ).
tcf(c_13250,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,c)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_13098,c_79]) ).
tcf(c_13326,plain,
product(domain(h),a,a),
inference(superposition,[status(thm)],[c_13070,c_87]) ).
tcf(c_13455,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ defined(X0,a)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_13326,c_79]) ).
tcf(c_13623,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_13672,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_95,c_78]) ).
tcf(c_13881,plain,
defined(codomain(d),g),
inference(superposition,[status(thm)],[c_85,c_13672]) ).
tcf(c_13924,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_13925,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_13968,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_14056,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ product(X0,g,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_14207,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_13623,c_81]) ).
tcf(c_14632,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_87,c_14056]) ).
tcf(c_14634,plain,
! [X0: $i,X1: $i] :
( product(X1,c,X0)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_89,c_14056]) ).
tcf(c_15020,plain,
domain(h) = domain(g),
inference(light_normalisation,[status(thm)],[c_13071,c_13070]) ).
tcf(c_15030,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_15020,c_1405]) ).
tcf(c_15040,plain,
( defined(domain(h),g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_15020,c_1058]) ).
tcf(c_15043,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_15020,c_869]) ).
tcf(c_15044,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_15020,c_715]) ).
tcf(c_15069,plain,
( defined(g,codomain(a))
| ~ defined(domain(h),a) ),
inference(instantiation,[status(thm)],[c_15030]) ).
tcf(c_15987,plain,
( defined(h,codomain(g))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_15040,c_1405]) ).
tcf(c_16013,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,X1)))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_714]) ).
tcf(c_16167,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_715,c_15043]) ).
tcf(c_16250,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_15044,c_1405]) ).
tcf(c_16251,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_15044,c_869]) ).
tcf(c_16280,plain,
( defined(h,codomain(a))
| ~ defined(g,a) ),
inference(instantiation,[status(thm)],[c_16250]) ).
tcf(c_16334,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(g))
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_15987,c_81]) ).
tcf(c_16338,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16334,c_83]) ).
tcf(c_17024,plain,
( defined(h,h)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_4847,c_16338]) ).
tcf(c_17089,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,X1)),X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_759]) ).
tcf(c_17095,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_4496,c_759]) ).
tcf(c_17134,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17095,c_1057]) ).
tcf(c_18754,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_796,c_74,c_796]) ).
tcf(c_18761,plain,
defined(codomain(h),d),
inference(superposition,[status(thm)],[c_94,c_18754]) ).
tcf(c_18762,plain,
defined(codomain(g),d),
inference(superposition,[status(thm)],[c_95,c_18754]) ).
tcf(c_18763,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(X0,X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_18754]) ).
tcf(c_18782,plain,
defined(codomain(compose(codomain(d),g)),d),
inference(superposition,[status(thm)],[c_4487,c_18754]) ).
tcf(c_18826,plain,
product(h,c,compose(codomain(h),d)),
inference(backward_subsumption_resolution,[status(thm)],[c_4472,c_18761]) ).
tcf(c_19004,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_18761,c_1081]) ).
tcf(c_19136,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_18762,c_1081]) ).
tcf(c_19142,plain,
defined(codomain(g),h),
inference(superposition,[status(thm)],[c_18762,c_757]) ).
tcf(c_19337,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_19142,c_1081]) ).
tcf(c_19368,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_18782,c_1081]) ).
tcf(c_19587,plain,
compose(codomain(h),d) = d,
inference(superposition,[status(thm)],[c_18826,c_903]) ).
tcf(c_19675,plain,
( defined(codomain(d),codomain(h))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_19587,c_17089]) ).
tcf(c_19678,plain,
( product(codomain(h),d,d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_19587,c_73]) ).
tcf(c_19681,plain,
product(codomain(h),d,d),
inference(forward_subsumption_resolution,[status(thm)],[c_19678,c_18761]) ).
tcf(c_19682,plain,
defined(codomain(d),codomain(h)),
inference(forward_subsumption_resolution,[status(thm)],[c_19675,c_18761]) ).
tcf(c_19942,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_19682,c_81]) ).
tcf(c_19949,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19942,c_83]) ).
tcf(c_20367,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_761,c_19949]) ).
tcf(c_20377,plain,
( defined(codomain(d),codomain(g))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_3222,c_19949]) ).
tcf(c_20393,plain,
defined(codomain(d),codomain(g)),
inference(forward_subsumption_resolution,[status(thm)],[c_20377,c_18761]) ).
tcf(c_20417,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_20393,c_81]) ).
tcf(c_20424,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20417,c_83]) ).
tcf(c_20723,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_761,c_20424]) ).
tcf(c_21186,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_715,c_19337]) ).
tcf(c_21472,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1126,c_712,c_1126]) ).
tcf(c_22055,plain,
! [X0: $i] :
( product(h,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4441,c_712,c_4441]) ).
tcf(c_22258,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1158,c_74,c_1158]) ).
tcf(c_22264,plain,
defined(c,domain(b)),
inference(superposition,[status(thm)],[c_93,c_22258]) ).
tcf(c_22286,plain,
defined(d,domain(c)),
inference(superposition,[status(thm)],[c_4487,c_22258]) ).
tcf(c_22326,plain,
product(g,c,compose(d,domain(c))),
inference(backward_subsumption_resolution,[status(thm)],[c_4460,c_22286]) ).
tcf(c_22377,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_22264,c_81]) ).
tcf(c_22386,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22377,c_82]) ).
tcf(c_22415,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_715,c_22386]) ).
tcf(c_22626,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_22286,c_81]) ).
tcf(c_22632,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22626,c_82]) ).
tcf(c_22654,plain,
compose(d,domain(c)) = d,
inference(superposition,[status(thm)],[c_22326,c_904]) ).
tcf(c_22964,plain,
( defined(domain(c),domain(d))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_22654,c_16013]) ).
tcf(c_22965,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ defined(d,X0)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_22654,c_714]) ).
tcf(c_22966,plain,
( product(d,domain(c),d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_22654,c_73]) ).
tcf(c_22970,plain,
product(d,domain(c),d),
inference(forward_subsumption_resolution,[status(thm)],[c_22966,c_22286]) ).
tcf(c_22971,plain,
defined(domain(c),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_22964,c_22286]) ).
tcf(c_22975,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ defined(d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22965,c_22286]) ).
tcf(c_22984,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_715,c_22632]) ).
tcf(c_22988,plain,
( defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_1014,c_22632]) ).
tcf(c_23605,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4443,c_712,c_4443]) ).
tcf(c_24609,plain,
( product(g,c,domain(c))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_4461,c_4461,c_22286]) ).
tcf(c_24616,plain,
( defined(codomain(g),domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_24609,c_18754]) ).
tcf(c_24624,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_24609,c_75]) ).
tcf(c_26283,plain,
( product(compose(codomain(d),g),c,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_73,c_14632]) ).
tcf(c_26286,plain,
product(compose(codomain(d),g),c,d),
inference(forward_subsumption_resolution,[status(thm)],[c_26283,c_13881]) ).
tcf(c_27089,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_2768,c_21186]) ).
tcf(c_27171,plain,
( defined(codomain(a),h)
| ~ defined(codomain(a),g) ),
inference(instantiation,[status(thm)],[c_27089]) ).
tcf(c_27991,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(c),X0) ),
inference(global_subsumption_just,[status(thm)],[c_24624,c_866,c_22415]) ).
tcf(c_29905,plain,
! [X0: $i] :
( product(compose(h,a),b,X0)
| ~ product(a,b,c)
| ~ product(h,c,X0)
| ~ product(h,a,compose(h,a)) ),
inference(instantiation,[status(thm)],[c_1253]) ).
tcf(c_31998,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X1),g)
| ~ defined(codomain(X1),X1)
| ~ product(g,X0,X1) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_31999,plain,
( defined(codomain(a),g)
| ~ defined(codomain(a),a)
| ~ product(g,a,a) ),
inference(instantiation,[status(thm)],[c_31998]) ).
tcf(c_32241,plain,
! [X0: $i] :
( ( g = X0 )
| ( g != g )
| ( X0 != g ) ),
inference(instantiation,[status(thm)],[c_7088]) ).
tcf(c_32698,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_13924,c_74,c_796]) ).
tcf(c_32706,plain,
defined(codomain(g),d),
inference(superposition,[status(thm)],[c_95,c_32698]) ).
tcf(c_33026,plain,
( product(h,a,a)
| ~ identity_map(h)
| ~ defined(h,a) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_33080,plain,
( product(g,a,a)
| ~ identity_map(g)
| ~ defined(g,a) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_33225,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_24616,c_81]) ).
tcf(c_33264,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33225,c_82]) ).
tcf(c_36480,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_13925,c_74,c_797]) ).
tcf(c_36495,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_87,c_36480]) ).
tcf(c_36666,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4653,c_1550,c_22984]) ).
tcf(c_36676,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_36666,c_16251]) ).
tcf(c_37145,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_13968,c_74,c_1158]) ).
tcf(c_37161,plain,
defined(d,domain(c)),
inference(superposition,[status(thm)],[c_26286,c_37145]) ).
tcf(c_37587,plain,
! [X0: $i] :
( product(g,X0,compose(d,X0))
| ~ identity_map(c)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4908,c_712,c_4908]) ).
tcf(c_37599,plain,
! [X0: $i] :
( ( X0 = g )
| ~ identity_map(c)
| ~ defined(d,a)
| ~ product(X0,a,compose(d,a)) ),
inference(superposition,[status(thm)],[c_37587,c_91]) ).
tcf(c_42753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,a,X0)
| ~ product(X3,X2,X1)
| ( h != X3 )
| ( a != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_43216,plain,
! [X0: $i] :
( product(g,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5054,c_712,c_5054]) ).
tcf(c_44528,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5056,c_712,c_5056]) ).
tcf(c_44788,plain,
( defined(codomain(g),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_22971,c_33264]) ).
tcf(c_44995,plain,
( defined(codomain(d),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_44788,c_20424]) ).
tcf(c_46499,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,a,X0)
| ~ product(h,X2,X1)
| ( h != h )
| ( a != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_42753]) ).
tcf(c_47301,plain,
! [X0: $i] :
( defined(h,h)
| ~ identity_map(codomain(X0))
| ~ defined(h,codomain(X0))
| ~ defined(codomain(X0),h) ),
inference(instantiation,[status(thm)],[c_6090]) ).
tcf(c_47306,plain,
( defined(h,h)
| ~ identity_map(codomain(a))
| ~ defined(h,codomain(a))
| ~ defined(codomain(a),h) ),
inference(instantiation,[status(thm)],[c_47301]) ).
tcf(c_47444,plain,
( defined(h,h)
| ~ identity_map(g) ),
inference(global_subsumption_just,[status(thm)],[c_17024,c_97,c_99,c_1016,c_16280,c_27171,c_31999,c_33080,c_47306]) ).
tcf(c_47453,plain,
( defined(g,h)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_47444,c_16167]) ).
tcf(c_47514,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(g)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_47453,c_81]) ).
tcf(c_50899,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ defined(X0,h)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_73,c_5110]) ).
tcf(c_51176,plain,
( defined(codomain(codomain(d)),d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_18763,c_19368]) ).
tcf(c_51180,plain,
defined(codomain(codomain(d)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_51176,c_1057]) ).
tcf(c_51308,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_37161,c_14207]) ).
tcf(c_51398,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51308,c_82]) ).
tcf(c_51964,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,h) ),
inference(global_subsumption_just,[status(thm)],[c_5111,c_1889,c_19004]) ).
tcf(c_55264,plain,
! [X0: $i] :
( product(h,c,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_5303,c_757,c_5303]) ).
tcf(c_56337,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_5306,c_757,c_5306]) ).
tcf(c_57275,plain,
! [X0: $i] :
( product(X0,c,compose(X0,d))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_5656,c_757,c_5656]) ).
tcf(c_57771,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_2133,c_2133,c_19136]) ).
tcf(c_60231,plain,
! [X0: $i] :
( product(X0,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_5659,c_757,c_5659]) ).
tcf(c_60883,plain,
! [X0: $i] :
( defined(a,compose(b,X0))
| ~ defined(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_6544,c_711,c_6544]) ).
tcf(c_61010,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,c) ),
inference(global_subsumption_just,[status(thm)],[c_7158,c_756,c_7158]) ).
tcf(c_63710,plain,
( product(compose(h,a),b,d)
| ~ product(h,c,d)
| ~ product(a,b,c)
| ~ product(h,a,compose(h,a)) ),
inference(instantiation,[status(thm)],[c_29905]) ).
tcf(c_67756,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(global_subsumption_just,[status(thm)],[c_5962,c_757,c_50899]) ).
tcf(c_68532,plain,
( ~ identity_map(h)
| ~ identity_map(g) ),
inference(global_subsumption_just,[status(thm)],[c_47514,c_96,c_885,c_1016,c_1015,c_33026,c_33080]) ).
tcf(c_68533,plain,
( ~ identity_map(g)
| ~ identity_map(h) ),
inference(renaming,[status(thm)],[c_68532]) ).
tcf(c_71798,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_71799,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_74378,plain,
! [X0: $i,X1: $i] :
( product(h,a,X0)
| ~ product(h,X1,compose(h,X1))
| ( h != h )
| ( a != X1 )
| ( X0 != compose(h,X1) ) ),
inference(instantiation,[status(thm)],[c_46499]) ).
tcf(c_74379,plain,
( product(h,a,a)
| ~ product(h,a,compose(h,a))
| ( h != h )
| ( a != a )
| ( a != compose(h,a) ) ),
inference(instantiation,[status(thm)],[c_74378]) ).
tcf(c_77798,plain,
! [X0: $i] :
( defined(X0,X0)
| ~ identity_map(X0) ),
inference(superposition,[status(thm)],[c_85,c_71799]) ).
tcf(c_77810,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_71798,c_71799]) ).
tcf(c_77862,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_20723,c_71799]) ).
tcf(c_77863,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_20367,c_71799]) ).
tcf(c_77878,plain,
( defined(domain(d),d)
| ~ identity_map(d)
| ~ identity_map(domain(d)) ),
inference(superposition,[status(thm)],[c_44995,c_71799]) ).
tcf(c_77942,plain,
( defined(domain(d),d)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77878,c_82]) ).
tcf(c_77999,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77863,c_83]) ).
tcf(c_78002,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77862,c_83]) ).
tcf(c_78082,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,codomain(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77810,c_83,c_82]) ).
tcf(c_78316,plain,
( defined(d,a)
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_77798,c_22988]) ).
tcf(c_79449,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ product(X0,g,codomain(c)) ),
inference(global_subsumption_just,[status(thm)],[c_5970,c_95,c_3355,c_5970,c_6483]) ).
tcf(c_79476,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_77942,c_81]) ).
tcf(c_80398,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_79476,c_22975,c_51398]) ).
tcf(c_86203,plain,
! [X0: $i] :
( product(compose(X0,g),c,X0)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_6508,c_6508,c_19136]) ).
tcf(c_91524,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(h))
| ~ product(X0,domain(h),X1) ),
inference(instantiation,[status(thm)],[c_4693]) ).
tcf(c_92428,plain,
! [X0: $i] :
( defined(codomain(domain(X0)),d)
| ~ identity_map(codomain(h))
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_71798,c_77999]) ).
tcf(c_92500,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ identity_map(codomain(h))
| ~ defined(X0,codomain(h)) ),
inference(light_normalisation,[status(thm)],[c_92428,c_3753]) ).
tcf(c_92501,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,codomain(h)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92500,c_83]) ).
tcf(c_93730,plain,
! [X0: $i] :
( defined(codomain(domain(X0)),d)
| ~ identity_map(codomain(g))
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_71798,c_78002]) ).
tcf(c_93783,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ identity_map(codomain(g))
| ~ defined(X0,codomain(g)) ),
inference(light_normalisation,[status(thm)],[c_93730,c_3753]) ).
tcf(c_93784,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,codomain(g)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93783,c_83]) ).
tcf(c_96817,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_1116,c_78082]) ).
tcf(c_118636,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_36495,c_869,c_78082]) ).
tcf(c_149752,plain,
( product(g,c,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_87,c_14634]) ).
tcf(c_149756,plain,
( product(g,c,codomain(g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149752,c_32706]) ).
tcf(c_150342,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_149756,c_78]) ).
tcf(c_185651,plain,
! [X0: $i] :
( ~ product(X0,a,compose(d,a))
| ~ identity_map(c) ),
inference(global_subsumption_just,[status(thm)],[c_12706,c_96,c_888,c_1357,c_1768,c_5517,c_12706,c_32241,c_37599,c_78316]) ).
tcf(c_185652,plain,
! [X0: $i] :
( ~ identity_map(c)
| ~ product(X0,a,compose(d,a)) ),
inference(renaming,[status(thm)],[c_185651]) ).
tcf(c_185659,plain,
( ~ identity_map(c)
| ~ identity_map(a)
| ~ defined(compose(d,a),a) ),
inference(superposition,[status(thm)],[c_89,c_185652]) ).
tcf(c_185660,plain,
( ~ identity_map(c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_12695,c_185652]) ).
tcf(c_185667,plain,
~ identity_map(c),
inference(global_subsumption_just,[status(thm)],[c_185659,c_78316,c_185660]) ).
tcf(c_188523,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,codomain(g)) ),
inference(global_subsumption_just,[status(thm)],[c_150342,c_2046,c_93784]) ).
tcf(c_189571,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ product(X0,a,a) ),
inference(superposition,[status(thm)],[c_87,c_91]) ).
tcf(c_189579,plain,
defined(h,c),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_189580,plain,
defined(g,c),
inference(superposition,[status(thm)],[c_95,c_74]) ).
tcf(c_189605,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_88,c_189571]) ).
tcf(c_189639,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_189680,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_189682,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_95,c_78]) ).
tcf(c_189752,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_189810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,X1) = X2 )
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_189752,c_74,c_905]) ).
tcf(c_189817,plain,
compose(h,c) = d,
inference(superposition,[status(thm)],[c_94,c_189810]) ).
tcf(c_189823,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,X1) = X0 )
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_189810]) ).
tcf(c_189873,plain,
defined(codomain(c),a),
inference(superposition,[status(thm)],[c_85,c_189680]) ).
tcf(c_189898,plain,
( ( codomain(a) = codomain(c) )
| ~ identity_map(codomain(c)) ),
inference(superposition,[status(thm)],[c_189873,c_189605]) ).
tcf(c_189899,plain,
codomain(a) = codomain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_189898,c_83]) ).
tcf(c_189905,plain,
product(codomain(a),c,c),
inference(superposition,[status(thm)],[c_189899,c_87]) ).
tcf(c_189921,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_76]) ).
tcf(c_189926,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_189969,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_190118,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_189905,c_78]) ).
tcf(c_190292,plain,
( ( compose(h,c) = h )
| ~ identity_map(c) ),
inference(superposition,[status(thm)],[c_189579,c_189823]) ).
tcf(c_190311,plain,
( ( h = d )
| ~ identity_map(c) ),
inference(light_normalisation,[status(thm)],[c_190292,c_189817]) ).
tcf(c_190332,plain,
~ identity_map(c),
inference(global_subsumption_just,[status(thm)],[c_190311,c_78316,c_185660]) ).
tcf(c_190512,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_189969,c_74,c_1158]) ).
tcf(c_190518,plain,
defined(c,domain(b)),
inference(superposition,[status(thm)],[c_93,c_190512]) ).
tcf(c_190519,plain,
defined(d,domain(c)),
inference(superposition,[status(thm)],[c_94,c_190512]) ).
tcf(c_190559,plain,
( ( compose(c,domain(b)) = c )
| ~ identity_map(domain(b)) ),
inference(superposition,[status(thm)],[c_190518,c_189823]) ).
tcf(c_190563,plain,
compose(c,domain(b)) = c,
inference(forward_subsumption_resolution,[status(thm)],[c_190559,c_82]) ).
tcf(c_190569,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_190519,c_81]) ).
tcf(c_190574,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190569,c_82]) ).
tcf(c_191275,plain,
( product(c,domain(b),c)
| ~ defined(c,domain(b)) ),
inference(superposition,[status(thm)],[c_190563,c_73]) ).
tcf(c_191276,plain,
product(c,domain(b),c),
inference(forward_subsumption_resolution,[status(thm)],[c_191275,c_190518]) ).
tcf(c_191281,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_191276,c_80]) ).
tcf(c_191409,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_189639,c_190574]) ).
tcf(c_191615,plain,
defined(d,domain(b)),
inference(superposition,[status(thm)],[c_190518,c_191409]) ).
tcf(c_192779,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_189926,c_74,c_797]) ).
tcf(c_192794,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_87,c_192779]) ).
tcf(c_196643,plain,
! [X0: $i] :
( product(X0,domain(b),d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_95,c_191281]) ).
tcf(c_197183,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_192794,c_118636]) ).
tcf(c_197190,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_189639,c_197183]) ).
tcf(c_197251,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,codomain(a)) ),
inference(superposition,[status(thm)],[c_189899,c_197183]) ).
tcf(c_198372,plain,
( defined(h,d)
| ~ defined(d,domain(b))
| ~ product(g,c,c) ),
inference(superposition,[status(thm)],[c_196643,c_189921]) ).
tcf(c_198377,plain,
( defined(h,d)
| ~ product(g,c,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198372,c_191615]) ).
tcf(c_202021,plain,
( defined(h,d)
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_88,c_198377]) ).
tcf(c_202022,plain,
( defined(h,d)
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202021,c_189580]) ).
tcf(c_202034,plain,
( defined(h,g)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_202022,c_189682]) ).
tcf(c_202058,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_202034,c_81]) ).
tcf(c_202180,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,X0) ),
inference(global_subsumption_just,[status(thm)],[c_202058,c_16251]) ).
tcf(c_202191,plain,
( defined(h,codomain(a))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_190118,c_202180]) ).
tcf(c_202216,plain,
defined(h,codomain(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_202191,c_189580]) ).
tcf(c_202299,plain,
defined(domain(h),a),
inference(superposition,[status(thm)],[c_202216,c_197190]) ).
tcf(c_202325,plain,
( ( domain(h) = codomain(a) )
| ~ identity_map(domain(h)) ),
inference(superposition,[status(thm)],[c_202299,c_189605]) ).
tcf(c_202326,plain,
domain(h) = codomain(a),
inference(forward_subsumption_resolution,[status(thm)],[c_202325,c_82]) ).
tcf(c_202340,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,domain(h)) ),
inference(demodulation,[status(thm)],[c_197251,c_202326]) ).
tcf(c_202502,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_202326,c_197183]) ).
tcf(c_234198,plain,
defined(a,b),
inference(superposition,[status(thm)],[c_93,c_74]) ).
tcf(c_234199,plain,
defined(h,c),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_234200,plain,
defined(g,c),
inference(superposition,[status(thm)],[c_95,c_74]) ).
tcf(c_234232,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_234233,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_94,c_75]) ).
tcf(c_234235,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_234236,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_75]) ).
tcf(c_234239,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_234257,plain,
defined(b,domain(c)),
inference(superposition,[status(thm)],[c_84,c_234232]) ).
tcf(c_234262,plain,
defined(c,domain(d)),
inference(superposition,[status(thm)],[c_84,c_234233]) ).
tcf(c_234263,plain,
defined(b,domain(d)),
inference(superposition,[status(thm)],[c_234262,c_234232]) ).
tcf(c_234272,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_234273,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_76]) ).
tcf(c_234274,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_76]) ).
tcf(c_234275,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_234276,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_234277,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_234278,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_234279,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_234315,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_234316,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_94,c_78]) ).
tcf(c_234317,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_95,c_78]) ).
tcf(c_234318,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_234320,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_234321,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_234346,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_234347,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_234348,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234198,c_81]) ).
tcf(c_234351,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234257,c_81]) ).
tcf(c_234352,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234262,c_81]) ).
tcf(c_234353,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234263,c_81]) ).
tcf(c_234360,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234353,c_82]) ).
tcf(c_234363,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234352,c_82]) ).
tcf(c_234366,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234351,c_82]) ).
tcf(c_234369,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234346,c_82]) ).
tcf(c_234378,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(a,b,X0) ),
inference(superposition,[status(thm)],[c_93,c_90]) ).
tcf(c_234379,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_94,c_90]) ).
tcf(c_234380,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_234381,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_234382,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(X0,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_90]) ).
tcf(c_234383,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(codomain(X0),X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_90]) ).
tcf(c_234384,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_234385,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_234419,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(X1,a)
| ~ product(X0,a,compose(X1,a)) ),
inference(superposition,[status(thm)],[c_73,c_91]) ).
tcf(c_234420,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ product(X0,a,a) ),
inference(superposition,[status(thm)],[c_87,c_91]) ).
tcf(c_234421,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(X1)
| ~ defined(X1,a)
| ~ product(X0,a,a) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_234422,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(a)
| ~ defined(X1,a)
| ~ product(X0,a,X1) ),
inference(superposition,[status(thm)],[c_89,c_91]) ).
tcf(c_234441,plain,
defined(codomain(c),a),
inference(superposition,[status(thm)],[c_85,c_234315]) ).
tcf(c_234442,plain,
defined(h,a),
inference(superposition,[status(thm)],[c_234199,c_234315]) ).
tcf(c_234443,plain,
defined(g,a),
inference(superposition,[status(thm)],[c_234200,c_234315]) ).
tcf(c_234446,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234442,c_81]) ).
tcf(c_234456,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234443,c_81]) ).
tcf(c_234460,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234441,c_81]) ).
tcf(c_234468,plain,
defined(codomain(d),h),
inference(superposition,[status(thm)],[c_85,c_234316]) ).
tcf(c_234469,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234468,c_81]) ).
tcf(c_234477,plain,
defined(codomain(d),g),
inference(superposition,[status(thm)],[c_85,c_234317]) ).
tcf(c_234478,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234477,c_81]) ).
tcf(c_234486,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_234236,c_81]) ).
tcf(c_234487,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234236,c_234315]) ).
tcf(c_234488,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_234317]) ).
tcf(c_234489,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_234316]) ).
tcf(c_234509,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_234320,c_81]) ).
tcf(c_234510,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234232]) ).
tcf(c_234511,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234233]) ).
tcf(c_234516,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234509,c_83]) ).
tcf(c_234524,plain,
defined(b,domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_234360]) ).
tcf(c_234525,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234236,c_234360]) ).
tcf(c_234526,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234360]) ).
tcf(c_234533,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234524,c_81]) ).
tcf(c_234534,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234533,c_82]) ).
tcf(c_234545,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_234273]) ).
tcf(c_234558,plain,
! [X0: $i] :
( ( X0 = a )
| ~ product(X0,b,c) ),
inference(superposition,[status(thm)],[c_93,c_92]) ).
tcf(c_234559,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(X1,b)
| ~ product(X0,b,compose(X1,b)) ),
inference(superposition,[status(thm)],[c_73,c_92]) ).
tcf(c_234560,plain,
! [X0: $i] :
( ( codomain(b) = X0 )
| ~ product(X0,b,b) ),
inference(superposition,[status(thm)],[c_87,c_92]) ).
tcf(c_234561,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(X1)
| ~ defined(X1,b)
| ~ product(X0,b,b) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_234562,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(b)
| ~ defined(X1,b)
| ~ product(X0,b,X1) ),
inference(superposition,[status(thm)],[c_89,c_92]) ).
tcf(c_234595,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_234596,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_94,c_79]) ).
tcf(c_234597,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_95,c_79]) ).
tcf(c_234598,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_234599,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_234600,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_234601,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_234602,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_234636,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,d)
| ~ product(g,c,d)
| ~ product(g,X0,X2)
| ~ product(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_234649,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_234650,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_77]) ).
tcf(c_234651,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_77]) ).
tcf(c_234652,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_234653,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_234654,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_234655,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_234656,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_234697,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_234698,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,d,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_94,c_80]) ).
tcf(c_234699,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ product(X0,g,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_95,c_80]) ).
tcf(c_234700,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_234701,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_234702,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_234703,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_234704,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_234745,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234525]) ).
tcf(c_234752,plain,
defined(c,domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_234363]) ).
tcf(c_234754,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234363]) ).
tcf(c_234771,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(domain(d)))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234752,c_81]) ).
tcf(c_234773,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234771,c_82]) ).
tcf(c_234780,plain,
defined(b,domain(domain(c))),
inference(superposition,[status(thm)],[c_84,c_234366]) ).
tcf(c_234782,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234366]) ).
tcf(c_234785,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(c)))
| ~ defined(domain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_234780,c_81]) ).
tcf(c_234786,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(c)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234785,c_82]) ).
tcf(c_234796,plain,
! [X0: $i] : defined(X0,domain(domain(X0))),
inference(superposition,[status(thm)],[c_84,c_234369]) ).
tcf(c_234798,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_234369]) ).
tcf(c_234806,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(domain(domain(X0)))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_234796,c_81]) ).
tcf(c_234807,plain,
! [X0: $i] : defined(X0,domain(domain(domain(X0)))),
inference(superposition,[status(thm)],[c_234796,c_234369]) ).
tcf(c_234811,plain,
defined(b,domain(domain(domain(c)))),
inference(superposition,[status(thm)],[c_234796,c_234366]) ).
tcf(c_234812,plain,
defined(c,domain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_234796,c_234363]) ).
tcf(c_234813,plain,
defined(b,domain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_234796,c_234360]) ).
tcf(c_234814,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234806,c_82]) ).
tcf(c_234867,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_234807,c_81]) ).
tcf(c_234868,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(X0))))),
inference(superposition,[status(thm)],[c_234807,c_234369]) ).
tcf(c_234872,plain,
defined(b,domain(domain(domain(domain(c))))),
inference(superposition,[status(thm)],[c_234807,c_234366]) ).
tcf(c_234873,plain,
defined(c,domain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_234807,c_234363]) ).
tcf(c_234874,plain,
defined(b,domain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_234807,c_234360]) ).
tcf(c_234875,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(X0))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234867,c_82]) ).
tcf(c_234886,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(c))))
| ~ defined(domain(domain(domain(c))),X0) ),
inference(superposition,[status(thm)],[c_234811,c_81]) ).
tcf(c_234887,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(c))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234886,c_82]) ).
tcf(c_234890,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(domain(domain(d))))
| ~ defined(domain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_234812,c_81]) ).
tcf(c_234892,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234890,c_82]) ).
tcf(c_234895,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(d))))
| ~ defined(domain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_234813,c_81]) ).
tcf(c_234896,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234895,c_82]) ).
tcf(c_234910,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_234868,c_81]) ).
tcf(c_234911,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(X0)))))),
inference(superposition,[status(thm)],[c_234868,c_234369]) ).
tcf(c_234915,plain,
defined(b,domain(domain(domain(domain(domain(c)))))),
inference(superposition,[status(thm)],[c_234868,c_234366]) ).
tcf(c_234916,plain,
defined(c,domain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_234868,c_234363]) ).
tcf(c_234917,plain,
defined(b,domain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_234868,c_234360]) ).
tcf(c_234918,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(domain(X0)))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234910,c_82]) ).
tcf(c_234927,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_234274]) ).
tcf(c_234944,plain,
( ( compose(a,b) = c )
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_73,c_234378]) ).
tcf(c_234945,plain,
( ( b = c )
| ~ identity_map(a)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_88,c_234378]) ).
tcf(c_234946,plain,
( ( a = c )
| ~ identity_map(b)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_89,c_234378]) ).
tcf(c_234947,plain,
compose(a,b) = c,
inference(forward_subsumption_resolution,[status(thm)],[c_234944,c_234198]) ).
tcf(c_234948,plain,
( ( a = c )
| ~ identity_map(b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234946,c_234198]) ).
tcf(c_234951,plain,
( ( b = c )
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234945,c_234198]) ).
tcf(c_234974,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_234872,c_81]) ).
tcf(c_234975,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(c)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234974,c_82]) ).
tcf(c_234978,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(domain(domain(domain(d)))))
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_234873,c_81]) ).
tcf(c_234980,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234978,c_82]) ).
tcf(c_234983,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(domain(d)))))
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_234874,c_81]) ).
tcf(c_234984,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234983,c_82]) ).
tcf(c_234991,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234487,c_81]) ).
tcf(c_234993,plain,
( defined(b,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_234366]) ).
tcf(c_234994,plain,
( defined(c,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_234487,c_234363]) ).
tcf(c_234995,plain,
( defined(b,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_234487,c_234360]) ).
tcf(c_235028,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(g)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234488,c_81]) ).
tcf(c_235030,plain,
( defined(b,g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234488,c_234366]) ).
tcf(c_235031,plain,
( defined(c,g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234488,c_234363]) ).
tcf(c_235032,plain,
( defined(b,g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234488,c_234360]) ).
tcf(c_235069,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234489,c_81]) ).
tcf(c_235071,plain,
( defined(b,h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234489,c_234366]) ).
tcf(c_235072,plain,
( defined(c,h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234489,c_234363]) ).
tcf(c_235073,plain,
( defined(b,h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234489,c_234360]) ).
tcf(c_235134,plain,
( ( compose(h,c) = d )
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_73,c_234379]) ).
tcf(c_235135,plain,
( ( c = d )
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_88,c_234379]) ).
tcf(c_235137,plain,
compose(h,c) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_235134,c_234199]) ).
tcf(c_235138,plain,
( ( c = d )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235135,c_234199]) ).
tcf(c_235151,plain,
( ( compose(g,c) = d )
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_73,c_234380]) ).
tcf(c_235152,plain,
( ( c = d )
| ~ identity_map(g)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_88,c_234380]) ).
tcf(c_235154,plain,
compose(g,c) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_235151,c_234200]) ).
tcf(c_235155,plain,
( ( c = d )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235152,c_234200]) ).
tcf(c_235190,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(codomain(X0))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234510,c_81]) ).
tcf(c_235191,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235190,c_83]) ).
tcf(c_235199,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234511,c_81]) ).
tcf(c_235201,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235199,c_83]) ).
tcf(c_235209,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234745,c_81]) ).
tcf(c_235210,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235209,c_83]) ).
tcf(c_235214,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_234911,c_81]) ).
tcf(c_235215,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(domain(X0))))))),
inference(superposition,[status(thm)],[c_234911,c_234369]) ).
tcf(c_235219,plain,
defined(b,domain(domain(domain(domain(domain(domain(c))))))),
inference(superposition,[status(thm)],[c_234911,c_234366]) ).
tcf(c_235220,plain,
defined(c,domain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_234911,c_234363]) ).
tcf(c_235221,plain,
defined(b,domain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_234911,c_234360]) ).
tcf(c_235222,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(domain(domain(domain(domain(domain(X0))))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235214,c_82]) ).
tcf(c_235225,plain,
! [X0: $i] :
( product(X0,b,d)
| ~ product(g,c,d)
| ~ product(a,b,c)
| ~ product(g,a,X0) ),
inference(instantiation,[status(thm)],[c_234636]) ).
tcf(c_235226,plain,
( product(a,b,d)
| ~ product(g,c,d)
| ~ product(g,a,a)
| ~ product(a,b,c) ),
inference(instantiation,[status(thm)],[c_235225]) ).
tcf(c_235237,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_234915,c_81]) ).
tcf(c_235238,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(domain(c))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235237,c_82]) ).
tcf(c_235247,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(domain(domain(domain(domain(d))))))
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_234916,c_81]) ).
tcf(c_235249,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235247,c_82]) ).
tcf(c_235252,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(domain(domain(domain(domain(d))))))
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_234917,c_81]) ).
tcf(c_235253,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235252,c_82]) ).
tcf(c_235260,plain,
defined(b,codomain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_234526]) ).
tcf(c_235262,plain,
! [X0: $i] :
( defined(b,codomain(codomain(X0)))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234526]) ).
tcf(c_235263,plain,
( defined(b,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_234487,c_234526]) ).
tcf(c_235264,plain,
( defined(b,codomain(h))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234489,c_234526]) ).
tcf(c_235265,plain,
( defined(b,codomain(g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234488,c_234526]) ).
tcf(c_235266,plain,
defined(b,codomain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_234796,c_234526]) ).
tcf(c_235267,plain,
defined(b,codomain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_234807,c_234526]) ).
tcf(c_235268,plain,
defined(b,codomain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_234868,c_234526]) ).
tcf(c_235269,plain,
defined(b,codomain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_234911,c_234526]) ).
tcf(c_235321,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_234596]) ).
tcf(c_235324,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_89,c_234596]) ).
tcf(c_235332,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(domain(domain(d))))
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_235260,c_81]) ).
tcf(c_235333,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235332,c_83]) ).
tcf(c_235347,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234534]) ).
tcf(c_235348,plain,
( defined(b,a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_234487,c_234534]) ).
tcf(c_235349,plain,
( defined(b,h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_234489,c_234534]) ).
tcf(c_235350,plain,
( defined(b,g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_234488,c_234534]) ).
tcf(c_235354,plain,
defined(b,domain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_234911,c_234534]) ).
tcf(c_235406,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(domain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234773]) ).
tcf(c_235407,plain,
( defined(c,a)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_234487,c_234773]) ).
tcf(c_235408,plain,
( defined(c,h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_234489,c_234773]) ).
tcf(c_235409,plain,
( defined(c,g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_234488,c_234773]) ).
tcf(c_235413,plain,
defined(c,domain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_234911,c_234773]) ).
tcf(c_235422,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(domain(domain(domain(d)))))
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_235266,c_81]) ).
tcf(c_235423,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235422,c_83]) ).
tcf(c_235430,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_235263,c_81]) ).
tcf(c_235431,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235430,c_83]) ).
tcf(c_235439,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_235264,c_81]) ).
tcf(c_235440,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235439,c_83]) ).
tcf(c_235448,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(g))
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_235265,c_81]) ).
tcf(c_235449,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235448,c_83]) ).
tcf(c_235453,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(domain(domain(domain(domain(d))))))
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_235267,c_81]) ).
tcf(c_235454,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235453,c_83]) ).
tcf(c_235491,plain,
defined(c,codomain(domain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_234754]) ).
tcf(c_235493,plain,
! [X0: $i] :
( defined(c,codomain(codomain(X0)))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234754]) ).
tcf(c_235494,plain,
( defined(c,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_234487,c_234754]) ).
tcf(c_235495,plain,
( defined(c,codomain(h))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234489,c_234754]) ).
tcf(c_235496,plain,
( defined(c,codomain(g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234488,c_234754]) ).
tcf(c_235497,plain,
defined(c,codomain(domain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_234796,c_234754]) ).
tcf(c_235498,plain,
defined(c,codomain(domain(domain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_234807,c_234754]) ).
tcf(c_235499,plain,
defined(c,codomain(domain(domain(domain(domain(domain(d))))))),
inference(superposition,[status(thm)],[c_234868,c_234754]) ).
tcf(c_235500,plain,
defined(c,codomain(domain(domain(domain(domain(domain(domain(d)))))))),
inference(superposition,[status(thm)],[c_234911,c_234754]) ).
tcf(c_235567,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_234597]) ).
tcf(c_235570,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_234597]) ).
tcf(c_235578,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(domain(domain(d))))
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_235491,c_81]) ).
tcf(c_235580,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(codomain(domain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235578,c_83]) ).
tcf(c_235589,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(domain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234786]) ).
tcf(c_235590,plain,
( defined(b,a)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_234487,c_234786]) ).
tcf(c_235591,plain,
( defined(b,h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_234489,c_234786]) ).
tcf(c_235592,plain,
( defined(b,g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_234488,c_234786]) ).
tcf(c_235596,plain,
defined(b,domain(domain(domain(domain(domain(domain(domain(c)))))))),
inference(superposition,[status(thm)],[c_234911,c_234786]) ).
tcf(c_235611,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(domain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_234320,c_234814]) ).
tcf(c_235612,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_234487,c_234814]) ).
tcf(c_235613,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_234489,c_234814]) ).
tcf(c_235614,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_234488,c_234814]) ).
tcf(c_235618,plain,
! [X0: $i] : defined(X0,domain(domain(domain(domain(domain(domain(domain(X0)))))))),
inference(superposition,[status(thm)],[c_234911,c_234814]) ).
tcf(c_235633,plain,
( defined(a,domain(b))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_84,c_234348]) ).
tcf(c_235634,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234348]) ).
tcf(c_235635,plain,
( defined(a,domain(c))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234257,c_234348]) ).
tcf(c_235636,plain,
( defined(a,domain(d))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234263,c_234348]) ).
tcf(c_235637,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234745,c_234348]) ).
tcf(c_235638,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234510,c_234348]) ).
tcf(c_235639,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_235263,c_234348]) ).
tcf(c_235640,plain,
( defined(a,domain(domain(d)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234524,c_234348]) ).
tcf(c_235641,plain,
( defined(a,domain(domain(c)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234780,c_234348]) ).
tcf(c_235642,plain,
( defined(a,domain(domain(b)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234796,c_234348]) ).
tcf(c_235643,plain,
( defined(a,domain(domain(domain(b))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234807,c_234348]) ).
tcf(c_235644,plain,
( defined(a,domain(domain(domain(c))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234811,c_234348]) ).
tcf(c_235645,plain,
( defined(a,domain(domain(domain(d))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234813,c_234348]) ).
tcf(c_235646,plain,
( defined(a,domain(domain(domain(domain(b)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234868,c_234348]) ).
tcf(c_235647,plain,
( defined(a,domain(domain(domain(domain(c)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234872,c_234348]) ).
tcf(c_235648,plain,
( defined(a,domain(domain(domain(domain(d)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234874,c_234348]) ).
tcf(c_235649,plain,
( defined(a,domain(domain(domain(domain(domain(b))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234911,c_234348]) ).
tcf(c_235650,plain,
( defined(a,domain(domain(domain(domain(domain(c))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234915,c_234348]) ).
tcf(c_235651,plain,
( defined(a,domain(domain(domain(domain(domain(d))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_234917,c_234348]) ).
tcf(c_235652,plain,
( defined(a,codomain(domain(domain(d))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_235260,c_234348]) ).
tcf(c_235653,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235264,c_234348]) ).
tcf(c_235654,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235265,c_234348]) ).
tcf(c_235655,plain,
( defined(a,codomain(domain(domain(domain(d)))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_235266,c_234348]) ).
tcf(c_235656,plain,
( defined(a,codomain(domain(domain(domain(domain(d))))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_235267,c_234348]) ).
tcf(c_235770,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(domain(domain(domain(d)))))
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(superposition,[status(thm)],[c_235497,c_81]) ).
tcf(c_235772,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(codomain(domain(domain(domain(d)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235770,c_83]) ).
tcf(c_235780,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_235633,c_81]) ).
tcf(c_235781,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235780,c_82]) ).
tcf(c_235791,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_235635,c_81]) ).
tcf(c_235792,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235791,c_82]) ).
tcf(c_235828,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_235636,c_81]) ).
tcf(c_235829,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235828,c_82]) ).
tcf(c_235837,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_235494,c_81]) ).
tcf(c_235839,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235837,c_83]) ).
tcf(c_235847,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_235495,c_81]) ).
tcf(c_235849,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235847,c_83]) ).
tcf(c_235870,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(g))
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_235496,c_81]) ).
tcf(c_235872,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235870,c_83]) ).
tcf(c_235876,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(domain(domain(domain(domain(d))))))
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(superposition,[status(thm)],[c_235498,c_81]) ).
tcf(c_235878,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(codomain(domain(domain(domain(domain(d))))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235876,c_83]) ).
tcf(c_235931,plain,
! [X0: $i,X1: $i] :
( product(h,compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_234650]) ).
tcf(c_235932,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_234650]) ).
tcf(c_235934,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_234650]) ).
tcf(c_235948,plain,
! [X0: $i] :
( ( compose(X0,domain(X0)) = X0 )
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_73,c_234382]) ).
tcf(c_235950,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_88,c_234382]) ).
tcf(c_235952,plain,
! [X0: $i] : compose(X0,domain(X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_235948,c_84]) ).
tcf(c_235953,plain,
! [X0: $i] :
( ( domain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235950,c_84]) ).
tcf(c_235975,plain,
! [X0: $i] : domain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_235953]) ).
tcf(c_235976,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_235953]) ).
tcf(c_235989,plain,
defined(c,codomain(domain(d))),
inference(demodulation,[status(thm)],[c_235491,c_235975]) ).
tcf(c_235994,plain,
defined(b,codomain(domain(d))),
inference(demodulation,[status(thm)],[c_235260,c_235975]) ).
tcf(c_236003,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_235989,c_81]) ).
tcf(c_236005,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236003,c_83]) ).
tcf(c_236008,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_235994,c_81]) ).
tcf(c_236009,plain,
( defined(a,codomain(domain(d)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_235994,c_234348]) ).
tcf(c_236012,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236008,c_83]) ).
tcf(c_236015,plain,
! [X0: $i] : compose(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_235975,c_235952]) ).
tcf(c_236016,plain,
! [X0: $i,X1: $i] :
( ( domain(X0) = X1 )
| ~ product(domain(X0),domain(X0),X1) ),
inference(superposition,[status(thm)],[c_235975,c_234382]) ).
tcf(c_236018,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_234489]) ).
tcf(c_236019,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_234488]) ).
tcf(c_236020,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_235975,c_234487]) ).
tcf(c_236023,plain,
! [X0: $i] : product(domain(X0),domain(X0),domain(X0)),
inference(superposition,[status(thm)],[c_235975,c_86]) ).
tcf(c_236024,plain,
! [X0: $i] : defined(domain(X0),domain(X0)),
inference(superposition,[status(thm)],[c_235975,c_84]) ).
tcf(c_236044,plain,
! [X0: $i] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_235976,c_235952]) ).
tcf(c_236045,plain,
! [X0: $i,X1: $i] :
( ( codomain(X0) = X1 )
| ~ product(codomain(X0),codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_235976,c_234382]) ).
tcf(c_236047,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_234489]) ).
tcf(c_236048,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_234488]) ).
tcf(c_236049,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_235976,c_234487]) ).
tcf(c_236052,plain,
! [X0: $i] : product(codomain(X0),codomain(X0),codomain(X0)),
inference(superposition,[status(thm)],[c_235976,c_86]) ).
tcf(c_236053,plain,
! [X0: $i] : defined(codomain(X0),codomain(X0)),
inference(superposition,[status(thm)],[c_235976,c_84]) ).
tcf(c_236070,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_236023,c_80]) ).
tcf(c_236071,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_236023,c_77]) ).
tcf(c_236072,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_236023,c_79]) ).
tcf(c_236075,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_236023,c_76]) ).
tcf(c_236090,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_236052,c_80]) ).
tcf(c_236091,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_236052,c_77]) ).
tcf(c_236092,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_236052,c_79]) ).
tcf(c_236095,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_236052,c_76]) ).
tcf(c_236136,plain,
defined(c,domain(codomain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_236005]) ).
tcf(c_236138,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236005]) ).
tcf(c_236147,plain,
defined(b,domain(codomain(domain(d)))),
inference(superposition,[status(thm)],[c_84,c_236012]) ).
tcf(c_236149,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236012]) ).
tcf(c_236158,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(domain(d)))
| ~ defined(codomain(domain(d)),X0) ),
inference(superposition,[status(thm)],[c_236009,c_81]) ).
tcf(c_236159,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(codomain(domain(d)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236158,c_83]) ).
tcf(c_236167,plain,
defined(b,codomain(domain(domain(c)))),
inference(superposition,[status(thm)],[c_84,c_234782]) ).
tcf(c_236169,plain,
! [X0: $i] :
( defined(b,codomain(codomain(X0)))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_234782]) ).
tcf(c_236170,plain,
( defined(b,codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_234782]) ).
tcf(c_236171,plain,
( defined(b,codomain(h))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234489,c_234782]) ).
tcf(c_236172,plain,
( defined(b,codomain(g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234488,c_234782]) ).
tcf(c_236173,plain,
defined(b,codomain(domain(c))),
inference(superposition,[status(thm)],[c_236024,c_234782]) ).
tcf(c_236194,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(domain(c)))
| ~ defined(codomain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_236173,c_81]) ).
tcf(c_236195,plain,
( defined(a,codomain(domain(c)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_236173,c_234348]) ).
tcf(c_236198,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(domain(c)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236194,c_83]) ).
tcf(c_236243,plain,
! [X0: $i] :
( ( c = X0 )
| ~ product(a,b,X0) ),
inference(resolution,[status(thm)],[c_93,c_90]) ).
tcf(c_236250,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(a))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_236170,c_81]) ).
tcf(c_236251,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_236170,c_234348]) ).
tcf(c_236255,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236250,c_83]) ).
tcf(c_236263,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236171,c_81]) ).
tcf(c_236264,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236171,c_234348]) ).
tcf(c_236268,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236263,c_83]) ).
tcf(c_236299,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(g))
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236172,c_81]) ).
tcf(c_236300,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236172,c_234348]) ).
tcf(c_236304,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236299,c_83]) ).
tcf(c_236312,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(domain(c)))
| ~ defined(codomain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_236195,c_81]) ).
tcf(c_236313,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(codomain(domain(c)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236312,c_83]) ).
tcf(c_236321,plain,
! [X0: $i] : defined(X0,codomain(domain(domain(X0)))),
inference(superposition,[status(thm)],[c_84,c_234798]) ).
tcf(c_236323,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(codomain(X1)))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_234798]) ).
tcf(c_236324,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234487,c_234798]) ).
tcf(c_236325,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234489,c_234798]) ).
tcf(c_236326,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234488,c_234798]) ).
tcf(c_236327,plain,
! [X0: $i] : defined(X0,codomain(domain(X0))),
inference(superposition,[status(thm)],[c_236024,c_234798]) ).
tcf(c_236328,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),codomain(X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_235975,c_234798]) ).
tcf(c_236329,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),codomain(X1))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_235976,c_234798]) ).
tcf(c_236366,plain,
! [X0: $i] : defined(domain(X0),codomain(domain(X0))),
inference(superposition,[status(thm)],[c_235975,c_236327]) ).
tcf(c_236367,plain,
! [X0: $i] : defined(codomain(X0),codomain(codomain(X0))),
inference(superposition,[status(thm)],[c_235976,c_236327]) ).
tcf(c_236368,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(codomain(domain(X0)))
| ~ defined(codomain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_236327,c_81]) ).
tcf(c_236369,plain,
! [X0: $i] : defined(X0,codomain(codomain(domain(domain(X0))))),
inference(superposition,[status(thm)],[c_236327,c_234798]) ).
tcf(c_236372,plain,
( defined(a,codomain(domain(b)))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_236327,c_234348]) ).
tcf(c_236375,plain,
defined(b,codomain(codomain(domain(domain(c))))),
inference(superposition,[status(thm)],[c_236327,c_234782]) ).
tcf(c_236377,plain,
defined(c,codomain(codomain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_236327,c_234754]) ).
tcf(c_236378,plain,
defined(b,codomain(codomain(domain(domain(d))))),
inference(superposition,[status(thm)],[c_236327,c_234526]) ).
tcf(c_236381,plain,
defined(b,codomain(domain(codomain(domain(d))))),
inference(superposition,[status(thm)],[c_236327,c_236012]) ).
tcf(c_236382,plain,
defined(c,codomain(domain(codomain(domain(d))))),
inference(superposition,[status(thm)],[c_236327,c_236005]) ).
tcf(c_236383,plain,
! [X0: $i] : defined(X0,codomain(codomain(domain(X0)))),
inference(light_normalisation,[status(thm)],[c_236369,c_235975]) ).
tcf(c_236386,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(codomain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236368,c_83]) ).
tcf(c_236423,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(codomain(domain(X0)))
| ~ defined(codomain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_236366,c_81]) ).
tcf(c_236426,plain,
defined(b,codomain(codomain(domain(c)))),
inference(superposition,[status(thm)],[c_236366,c_234782]) ).
tcf(c_236428,plain,
defined(c,codomain(codomain(domain(d)))),
inference(superposition,[status(thm)],[c_236366,c_234754]) ).
tcf(c_236429,plain,
defined(b,codomain(codomain(domain(d)))),
inference(superposition,[status(thm)],[c_236366,c_234526]) ).
tcf(c_236432,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(codomain(domain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236423,c_83]) ).
tcf(c_236444,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(codomain(codomain(X0)))
| ~ defined(codomain(codomain(X0)),X1) ),
inference(superposition,[status(thm)],[c_236367,c_81]) ).
tcf(c_236447,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ defined(codomain(codomain(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236444,c_83]) ).
tcf(c_236462,plain,
defined(b,domain(codomain(domain(c)))),
inference(superposition,[status(thm)],[c_84,c_236198]) ).
tcf(c_236464,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(codomain(domain(c)),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236198]) ).
tcf(c_236466,plain,
defined(b,codomain(domain(codomain(domain(c))))),
inference(superposition,[status(thm)],[c_236327,c_236198]) ).
tcf(c_236479,plain,
! [X0: $i] : defined(X0,domain(codomain(domain(X0)))),
inference(superposition,[status(thm)],[c_84,c_236386]) ).
tcf(c_236481,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ defined(codomain(domain(X0)),X1) ),
inference(superposition,[status(thm)],[c_234320,c_236386]) ).
tcf(c_236483,plain,
! [X0: $i] : defined(X0,codomain(domain(codomain(domain(X0))))),
inference(superposition,[status(thm)],[c_236327,c_236386]) ).
tcf(c_236495,plain,
! [X0: $i] : defined(domain(X0),codomain(codomain(domain(X0)))),
inference(superposition,[status(thm)],[c_235975,c_236383]) ).
tcf(c_236496,plain,
! [X0: $i] : defined(codomain(X0),codomain(codomain(codomain(X0)))),
inference(superposition,[status(thm)],[c_235976,c_236383]) ).
tcf(c_236497,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(codomain(codomain(domain(X0))))
| ~ defined(codomain(codomain(domain(X0))),X1) ),
inference(superposition,[status(thm)],[c_236383,c_81]) ).
tcf(c_236498,plain,
! [X0: $i] : defined(X0,codomain(codomain(codomain(domain(domain(X0)))))),
inference(superposition,[status(thm)],[c_236383,c_234798]) ).
tcf(c_236501,plain,
( defined(a,codomain(codomain(domain(b))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_236383,c_234348]) ).
tcf(c_236504,plain,
defined(b,codomain(codomain(codomain(domain(domain(c)))))),
inference(superposition,[status(thm)],[c_236383,c_234782]) ).
tcf(c_236506,plain,
defined(c,codomain(codomain(codomain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_236383,c_234754]) ).
tcf(c_236507,plain,
defined(b,codomain(codomain(codomain(domain(domain(d)))))),
inference(superposition,[status(thm)],[c_236383,c_234526]) ).
tcf(c_236510,plain,
defined(b,codomain(codomain(domain(codomain(domain(d)))))),
inference(superposition,[status(thm)],[c_236383,c_236012]) ).
tcf(c_236511,plain,
defined(c,codomain(codomain(domain(codomain(domain(d)))))),
inference(superposition,[status(thm)],[c_236383,c_236005]) ).
tcf(c_236512,plain,
defined(b,codomain(codomain(domain(codomain(domain(c)))))),
inference(superposition,[status(thm)],[c_236383,c_236198]) ).
tcf(c_236513,plain,
! [X0: $i] : defined(X0,codomain(codomain(domain(codomain(domain(X0)))))),
inference(superposition,[status(thm)],[c_236383,c_236386]) ).
tcf(c_236514,plain,
! [X0: $i] : defined(X0,codomain(codomain(codomain(domain(X0))))),
inference(light_normalisation,[status(thm)],[c_236498,c_235975]) ).
tcf(c_236517,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ defined(codomain(codomain(domain(X0))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236497,c_83]) ).
tcf(c_236568,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(codomain(domain(c))))
| ~ defined(codomain(codomain(domain(c))),X0) ),
inference(superposition,[status(thm)],[c_236426,c_81]) ).
tcf(c_236569,plain,
( defined(a,codomain(codomain(domain(c))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_236426,c_234348]) ).
tcf(c_236572,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(codomain(domain(c))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236568,c_83]) ).
tcf(c_236575,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(codomain(domain(d))))
| ~ defined(codomain(codomain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_236428,c_81]) ).
tcf(c_236577,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(codomain(codomain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236575,c_83]) ).
tcf(c_236580,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(codomain(domain(d))))
| ~ defined(codomain(codomain(domain(d))),X0) ),
inference(superposition,[status(thm)],[c_236429,c_81]) ).
tcf(c_236581,plain,
( defined(a,codomain(codomain(domain(d))))
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_236429,c_234348]) ).
tcf(c_236584,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(codomain(codomain(domain(d))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236580,c_83]) ).
tcf(c_236614,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(codomain(codomain(domain(X0))))
| ~ defined(codomain(codomain(domain(X0))),X1) ),
inference(superposition,[status(thm)],[c_236495,c_81]) ).
tcf(c_236617,plain,
defined(b,codomain(codomain(codomain(domain(c))))),
inference(superposition,[status(thm)],[c_236495,c_234782]) ).
tcf(c_236619,plain,
defined(c,codomain(codomain(codomain(domain(d))))),
inference(superposition,[status(thm)],[c_236495,c_234754]) ).
tcf(c_236620,plain,
defined(b,codomain(codomain(codomain(domain(d))))),
inference(superposition,[status(thm)],[c_236495,c_234526]) ).
tcf(c_236623,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ defined(codomain(codomain(domain(X0))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236614,c_83]) ).
tcf(c_236632,plain,
! [X0: $i,X1: $i] :
( product(g,compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_234651]) ).
tcf(c_236633,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_234651]) ).
tcf(c_236635,plain,
! [X0: $i,X1: $i] :
( product(g,c,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_234651]) ).
tcf(c_236649,plain,
! [X0: $i] :
( ( compose(codomain(X0),X0) = X0 )
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_73,c_234383]) ).
tcf(c_236652,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_89,c_234383]) ).
tcf(c_236653,plain,
! [X0: $i] : compose(codomain(X0),X0) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_236649,c_85]) ).
tcf(c_236654,plain,
! [X0: $i] :
( ( codomain(X0) = X0 )
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236652,c_85]) ).
tcf(c_236671,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_82,c_236654]) ).
tcf(c_236672,plain,
! [X0: $i] : codomain(codomain(X0)) = codomain(X0),
inference(superposition,[status(thm)],[c_83,c_236654]) ).
tcf(c_236698,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_234745]) ).
tcf(c_236699,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_234511]) ).
tcf(c_236700,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ defined(c,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_234510]) ).
tcf(c_236722,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_234745]) ).
tcf(c_236723,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_234511]) ).
tcf(c_236724,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_234510]) ).
tcf(c_236739,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(a))
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_236324,c_81]) ).
tcf(c_236740,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(a)))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_234798]) ).
tcf(c_236741,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_234369]) ).
tcf(c_236743,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_236324,c_234348]) ).
tcf(c_236746,plain,
( defined(b,codomain(codomain(a)))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_236324,c_234782]) ).
tcf(c_236747,plain,
( defined(b,codomain(a))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_236324,c_234366]) ).
tcf(c_236748,plain,
( defined(c,codomain(codomain(a)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_234754]) ).
tcf(c_236749,plain,
( defined(b,codomain(codomain(a)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_234526]) ).
tcf(c_236750,plain,
( defined(c,codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_234363]) ).
tcf(c_236751,plain,
( defined(b,codomain(a))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_234360]) ).
tcf(c_236771,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236739,c_83]) ).
tcf(c_236779,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(h))
| ~ defined(X1,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236325,c_81]) ).
tcf(c_236780,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(h)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_234798]) ).
tcf(c_236781,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_234369]) ).
tcf(c_236783,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236325,c_234348]) ).
tcf(c_236786,plain,
( defined(b,codomain(codomain(h)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_234782]) ).
tcf(c_236787,plain,
( defined(b,codomain(h))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_234366]) ).
tcf(c_236788,plain,
( defined(c,codomain(codomain(h)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_234754]) ).
tcf(c_236789,plain,
( defined(b,codomain(codomain(h)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_234526]) ).
tcf(c_236790,plain,
( defined(c,codomain(h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_234363]) ).
tcf(c_236791,plain,
( defined(b,codomain(h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_234360]) ).
tcf(c_236811,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236779,c_83]) ).
tcf(c_236857,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(g))
| ~ defined(X1,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236326,c_81]) ).
tcf(c_236858,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(g)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_234798]) ).
tcf(c_236859,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_234369]) ).
tcf(c_236861,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236326,c_234348]) ).
tcf(c_236864,plain,
( defined(b,codomain(codomain(g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_234782]) ).
tcf(c_236865,plain,
( defined(b,codomain(g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_234366]) ).
tcf(c_236866,plain,
( defined(c,codomain(codomain(g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_234754]) ).
tcf(c_236867,plain,
( defined(b,codomain(codomain(g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_234526]) ).
tcf(c_236868,plain,
( defined(c,codomain(g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_234363]) ).
tcf(c_236869,plain,
( defined(b,codomain(g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_234360]) ).
tcf(c_236889,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236857,c_83]) ).
tcf(c_236911,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),c,X1)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_234698]) ).
tcf(c_236912,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_234698]) ).
tcf(c_236913,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ identity_map(X0)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_234698]) ).
tcf(c_236914,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_234698]) ).
tcf(c_236933,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_88,c_234420]) ).
tcf(c_236958,plain,
( defined(h,domain(a))
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_84,c_234446]) ).
tcf(c_236959,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234446]) ).
tcf(c_236960,plain,
( defined(h,b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_234198,c_234446]) ).
tcf(c_236961,plain,
( defined(h,domain(b))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235633,c_234446]) ).
tcf(c_236962,plain,
( defined(h,domain(c))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235635,c_234446]) ).
tcf(c_236963,plain,
( defined(h,domain(d))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235636,c_234446]) ).
tcf(c_236964,plain,
( defined(h,codomain(a))
| ~ identity_map(a)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_236324,c_234446]) ).
tcf(c_236965,plain,
( defined(h,codomain(h))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_236325,c_234446]) ).
tcf(c_236966,plain,
( defined(h,codomain(g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_236326,c_234446]) ).
tcf(c_237016,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ identity_map(domain(a))
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_236958,c_81]) ).
tcf(c_237017,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237016,c_82]) ).
tcf(c_237027,plain,
( defined(g,domain(a))
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_84,c_234456]) ).
tcf(c_237028,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234320,c_234456]) ).
tcf(c_237029,plain,
( defined(g,b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_234198,c_234456]) ).
tcf(c_237030,plain,
( defined(g,domain(b))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235633,c_234456]) ).
tcf(c_237031,plain,
( defined(g,domain(c))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235635,c_234456]) ).
tcf(c_237032,plain,
( defined(g,domain(d))
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_235636,c_234456]) ).
tcf(c_237033,plain,
( defined(g,codomain(a))
| ~ identity_map(a)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_236324,c_234456]) ).
tcf(c_237034,plain,
( defined(g,codomain(h))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_236325,c_234456]) ).
tcf(c_237035,plain,
( defined(g,codomain(g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_236326,c_234456]) ).
tcf(c_237117,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_236960,c_81]) ).
tcf(c_237145,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_237029,c_81]) ).
tcf(c_237154,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ identity_map(domain(a))
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_237027,c_81]) ).
tcf(c_237155,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237154,c_82]) ).
tcf(c_237174,plain,
! [X0: $i,X1: $i] :
( product(X1,c,compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_73,c_234699]) ).
tcf(c_237175,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_87,c_234699]) ).
tcf(c_237176,plain,
! [X0: $i,X1: $i] :
( product(X1,c,d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_88,c_234699]) ).
tcf(c_237177,plain,
! [X0: $i,X1: $i] :
( product(X1,c,X0)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_89,c_234699]) ).
tcf(c_237196,plain,
! [X0: $i] :
( ( codomain(b) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_88,c_234560]) ).
tcf(c_237219,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ defined(c,domain(c))
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_235931]) ).
tcf(c_237220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,compose(c,X4),X2)
| ~ defined(c,X4)
| ~ product(d,X4,X1)
| ~ product(X0,h,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_235931,c_80]) ).
tcf(c_237221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(h,X2,X4)
| ~ defined(c,X0)
| ~ product(d,X0,X3)
| ~ product(X3,X1,X4)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_235931,c_77]) ).
tcf(c_237222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,compose(c,X2))
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_235931,c_79]) ).
tcf(c_237223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(h,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_235931,c_90]) ).
tcf(c_237224,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,h)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_78]) ).
tcf(c_237225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(h,X2)
| ~ defined(c,X0)
| ~ defined(X3,X1)
| ~ product(d,X0,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_235931,c_76]) ).
tcf(c_237226,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(c,X0),X2)
| ~ defined(c,X0)
| ~ defined(X1,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_75]) ).
tcf(c_237227,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(c,X0))
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_74]) ).
tcf(c_237271,plain,
( product(h,c,compose(d,domain(c)))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_73,c_235932]) ).
tcf(c_237272,plain,
( product(h,c,domain(c))
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_88,c_235932]) ).
tcf(c_237287,plain,
! [X0: $i] :
( defined(domain(X0),codomain(a))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_235975,c_236741]) ).
tcf(c_237288,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(a))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_235976,c_236741]) ).
tcf(c_237311,plain,
! [X0: $i] :
( product(h,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_235934]) ).
tcf(c_237313,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_88,c_235934]) ).
tcf(c_237338,plain,
! [X0: $i] :
( defined(domain(X0),codomain(h))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_236781]) ).
tcf(c_237339,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(h))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_236781]) ).
tcf(c_237364,plain,
! [X0: $i] :
( defined(domain(X0),codomain(g))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_236859]) ).
tcf(c_237365,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(g))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_236859]) ).
tcf(c_237394,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ defined(c,domain(c))
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_236632]) ).
tcf(c_237395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,compose(c,X4),X2)
| ~ defined(c,X4)
| ~ product(d,X4,X1)
| ~ product(X0,g,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_236632,c_80]) ).
tcf(c_237396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(g,X2,X4)
| ~ defined(c,X0)
| ~ product(d,X0,X3)
| ~ product(X3,X1,X4)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_236632,c_77]) ).
tcf(c_237397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,compose(c,X2))
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_236632,c_79]) ).
tcf(c_237398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(g,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_236632,c_90]) ).
tcf(c_237399,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,g)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_78]) ).
tcf(c_237400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(g,X2)
| ~ defined(c,X0)
| ~ defined(X3,X1)
| ~ product(d,X0,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_236632,c_76]) ).
tcf(c_237402,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(c,X0))
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_74]) ).
tcf(c_237441,plain,
( product(g,c,compose(d,domain(c)))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_73,c_236633]) ).
tcf(c_237442,plain,
( product(g,c,domain(c))
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_88,c_236633]) ).
tcf(c_237453,plain,
( product(h,c,compose(codomain(h),d))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_73,c_236912]) ).
tcf(c_237455,plain,
( product(h,c,codomain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_89,c_236912]) ).
tcf(c_237481,plain,
! [X0: $i] :
( product(g,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_236635]) ).
tcf(c_237483,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_88,c_236635]) ).
tcf(c_237498,plain,
( product(compose(codomain(d),g),c,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_73,c_237175]) ).
tcf(c_237500,plain,
( product(codomain(d),c,d)
| ~ identity_map(g)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_89,c_237175]) ).
tcf(c_237501,plain,
product(compose(codomain(d),g),c,d),
inference(forward_subsumption_resolution,[status(thm)],[c_237498,c_234477]) ).
tcf(c_237502,plain,
( product(codomain(d),c,d)
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237500,c_234477]) ).
tcf(c_237505,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,d,X2)
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_237501,c_80]) ).
tcf(c_237506,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(codomain(d),g),X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_237501,c_77]) ).
tcf(c_237507,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_237501,c_79]) ).
tcf(c_237508,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(compose(codomain(d),g),c,X0) ),
inference(superposition,[status(thm)],[c_237501,c_90]) ).
tcf(c_237509,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237501,c_78]) ).
tcf(c_237510,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),g),X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_237501,c_76]) ).
tcf(c_237512,plain,
defined(compose(codomain(d),g),c),
inference(superposition,[status(thm)],[c_237501,c_74]) ).
tcf(c_237530,plain,
defined(compose(codomain(d),g),a),
inference(superposition,[status(thm)],[c_237512,c_234315]) ).
tcf(c_237535,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ identity_map(g)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_237502,c_80]) ).
tcf(c_237536,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(d),X1,X2)
| ~ identity_map(g)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_237502,c_77]) ).
tcf(c_237537,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_237502,c_79]) ).
tcf(c_237538,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(g)
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_237502,c_90]) ).
tcf(c_237539,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237502,c_78]) ).
tcf(c_237540,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_237502,c_76]) ).
tcf(c_237541,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_237502,c_75]) ).
tcf(c_237542,plain,
( defined(codomain(d),c)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_237502,c_74]) ).
tcf(c_237570,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_237530,c_81]) ).
tcf(c_237579,plain,
( defined(codomain(d),a)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_237542,c_234315]) ).
tcf(c_237586,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_237579,c_81]) ).
tcf(c_237604,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ defined(codomain(h),h)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_236653,c_236911]) ).
tcf(c_237605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,c,X4)
| ~ defined(X1,h)
| ~ product(X1,d,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(X1,h),X2) ),
inference(superposition,[status(thm)],[c_236911,c_80]) ).
tcf(c_237606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(compose(X3,h),X4,X2)
| ~ defined(X3,h)
| ~ product(c,X1,X4)
| ~ product(X3,d,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_236911,c_77]) ).
tcf(c_237607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,c)
| ~ defined(X1,h)
| ~ defined(X0,X3)
| ~ product(X1,d,X3)
| ~ product(X0,compose(X1,h),X2) ),
inference(superposition,[status(thm)],[c_236911,c_79]) ).
tcf(c_237608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,h)
| ~ product(X0,d,X2)
| ~ product(compose(X0,h),c,X1) ),
inference(superposition,[status(thm)],[c_236911,c_90]) ).
tcf(c_237609,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(X0,h))
| ~ defined(X0,h)
| ~ defined(X2,X1)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_78]) ).
tcf(c_237610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(compose(X0,h),X3)
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(c,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_76]) ).
tcf(c_237611,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X2)
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_75]) ).
tcf(c_237612,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_74]) ).
tcf(c_237653,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237509,c_81]) ).
tcf(c_237654,plain,
! [X0: $i] :
( defined(X0,codomain(compose(codomain(d),g)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_234798]) ).
tcf(c_237655,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_234369]) ).
tcf(c_237656,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237509,c_234232]) ).
tcf(c_237657,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237509,c_234348]) ).
tcf(c_237658,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237509,c_234525]) ).
tcf(c_237659,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237509,c_234233]) ).
tcf(c_237660,plain,
( defined(g,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237509,c_234456]) ).
tcf(c_237661,plain,
( defined(h,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237509,c_234446]) ).
tcf(c_237662,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_234782]) ).
tcf(c_237663,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_234366]) ).
tcf(c_237664,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_234754]) ).
tcf(c_237665,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_234526]) ).
tcf(c_237666,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_234363]) ).
tcf(c_237667,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_234360]) ).
tcf(c_237758,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_234347,c_81]) ).
tcf(c_237759,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234347,c_234315]) ).
tcf(c_237760,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_234317]) ).
tcf(c_237761,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_234316]) ).
tcf(c_237863,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_234460,c_81]) ).
tcf(c_237865,plain,
( defined(codomain(c),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234460,c_234317]) ).
tcf(c_237866,plain,
( defined(codomain(c),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234460,c_234316]) ).
tcf(c_237924,plain,
! [X0: $i] :
( product(h,c,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_236913]) ).
tcf(c_237927,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_89,c_236913]) ).
tcf(c_237943,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234469,c_81]) ).
tcf(c_237944,plain,
( defined(codomain(d),a)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_234469,c_234315]) ).
tcf(c_237947,plain,
( defined(codomain(d),a)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237944,c_234199]) ).
tcf(c_237961,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234478,c_81]) ).
tcf(c_237976,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_237947,c_81]) ).
tcf(c_237987,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_236961,c_81]) ).
tcf(c_237988,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237987,c_82]) ).
tcf(c_237999,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_236962,c_81]) ).
tcf(c_238000,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237999,c_82]) ).
tcf(c_238011,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_236963,c_81]) ).
tcf(c_238012,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238011,c_82]) ).
tcf(c_238023,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_237030,c_81]) ).
tcf(c_238024,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238023,c_82]) ).
tcf(c_238035,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_237031,c_81]) ).
tcf(c_238036,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238035,c_82]) ).
tcf(c_238047,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_237032,c_81]) ).
tcf(c_238048,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238047,c_82]) ).
tcf(c_238061,plain,
! [X0: $i] :
( product(X0,c,compose(X0,d))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_73,c_236914]) ).
tcf(c_238062,plain,
( product(codomain(d),c,d)
| ~ identity_map(h)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_87,c_236914]) ).
tcf(c_238063,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_88,c_236914]) ).
tcf(c_238064,plain,
! [X0: $i] :
( product(X0,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_89,c_236914]) ).
tcf(c_238065,plain,
( product(codomain(d),c,d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238062,c_234468]) ).
tcf(c_238086,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_238065,c_80]) ).
tcf(c_238087,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(d),X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_238065,c_77]) ).
tcf(c_238088,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,codomain(d),X1) ),
inference(superposition,[status(thm)],[c_238065,c_79]) ).
tcf(c_238089,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(codomain(d),c,X0) ),
inference(superposition,[status(thm)],[c_238065,c_90]) ).
tcf(c_238090,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_238065,c_78]) ).
tcf(c_238091,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_238065,c_76]) ).
tcf(c_238092,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_238065,c_75]) ).
tcf(c_238093,plain,
( defined(codomain(d),c)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_238065,c_74]) ).
tcf(c_238134,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237656,c_81]) ).
tcf(c_238135,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237656,c_234348]) ).
tcf(c_238147,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237658,c_81]) ).
tcf(c_238148,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237658,c_234348]) ).
tcf(c_238160,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237659,c_81]) ).
tcf(c_238180,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(b,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_235634]) ).
tcf(c_238181,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ defined(b,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_235634]) ).
tcf(c_238182,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_235634,c_81]) ).
tcf(c_238183,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_235634,c_234456]) ).
tcf(c_238184,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_235634,c_234446]) ).
tcf(c_238199,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_238182,c_83]) ).
tcf(c_238212,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(d,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_235637]) ).
tcf(c_238213,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ defined(d,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_235637]) ).
tcf(c_238214,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ identity_map(codomain(X0))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_235637,c_81]) ).
tcf(c_238215,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_235637,c_234456]) ).
tcf(c_238216,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_235637,c_234446]) ).
tcf(c_238231,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ identity_map(b)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238214,c_83]) ).
tcf(c_238254,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_235638]) ).
tcf(c_238255,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ defined(c,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_235638]) ).
tcf(c_238256,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_235638,c_81]) ).
tcf(c_238257,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_235638,c_234456]) ).
tcf(c_238258,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_235638,c_234446]) ).
tcf(c_238273,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_238256,c_83]) ).
tcf(c_238284,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(a))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_235639,c_81]) ).
tcf(c_238285,plain,
( defined(g,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_235639,c_234456]) ).
tcf(c_238286,plain,
( defined(h,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_235639,c_234446]) ).
tcf(c_238295,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238284,c_83]) ).
tcf(c_238313,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ defined(codomain(d),d)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_237174]) ).
tcf(c_238314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X4,c,X2)
| ~ defined(X1,d)
| ~ product(X1,g,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,compose(X1,d),X2) ),
inference(superposition,[status(thm)],[c_237174,c_80]) ).
tcf(c_238315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,X4,X2)
| ~ defined(X0,d)
| ~ product(c,X1,X4)
| ~ product(X0,g,X3)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_237174,c_77]) ).
tcf(c_238316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,c)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_237174,c_79]) ).
tcf(c_238317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,d) = X2 )
| ~ defined(X0,d)
| ~ product(X1,c,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_90]) ).
tcf(c_238318,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_237174,c_78]) ).
tcf(c_238319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,X3)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_237174,c_76]) ).
tcf(c_238320,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_237174,c_75]) ).
tcf(c_238322,plain,
! [X0: $i,X1: $i] :
( product(g,compose(X0,d),X1)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_234651]) ).
tcf(c_238323,plain,
! [X0: $i,X1: $i] :
( product(h,compose(X0,d),X1)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_234650]) ).
tcf(c_238324,plain,
! [X0: $i] :
( defined(g,compose(X0,d))
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_234274]) ).
tcf(c_238325,plain,
! [X0: $i] :
( defined(h,compose(X0,d))
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_234273]) ).
tcf(c_238326,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ defined(X0,d)
| ~ product(X0,g,h) ),
inference(superposition,[status(thm)],[c_237174,c_234379]) ).
tcf(c_238327,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ defined(X0,d)
| ~ product(X0,g,g) ),
inference(superposition,[status(thm)],[c_237174,c_234380]) ).
tcf(c_238328,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ defined(X0,d)
| ~ product(X0,g,codomain(c)) ),
inference(superposition,[status(thm)],[c_237174,c_234383]) ).
tcf(c_238463,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235781]) ).
tcf(c_238464,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_235781]) ).
tcf(c_238465,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234489,c_235781]) ).
tcf(c_238466,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234488,c_235781]) ).
tcf(c_238468,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_236324,c_235781]) ).
tcf(c_238469,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236325,c_235781]) ).
tcf(c_238470,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236326,c_235781]) ).
tcf(c_238471,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_237509,c_235781]) ).
tcf(c_238529,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234236,c_235792]) ).
tcf(c_238530,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235792]) ).
tcf(c_238531,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_235792]) ).
tcf(c_238532,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234489,c_235792]) ).
tcf(c_238533,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234488,c_235792]) ).
tcf(c_238535,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_236324,c_235792]) ).
tcf(c_238536,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_235792]) ).
tcf(c_238537,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_235792]) ).
tcf(c_238538,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_235792]) ).
tcf(c_238589,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234236,c_235829]) ).
tcf(c_238590,plain,
! [X0: $i] :
( defined(a,codomain(X0))
| ~ identity_map(b)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235829]) ).
tcf(c_238591,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_234487,c_235829]) ).
tcf(c_238592,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234489,c_235829]) ).
tcf(c_238593,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_234488,c_235829]) ).
tcf(c_238595,plain,
( defined(a,codomain(a))
| ~ identity_map(b)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_235829]) ).
tcf(c_238596,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_235829]) ).
tcf(c_238597,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_235829]) ).
tcf(c_238598,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_235829]) ).
tcf(c_238774,plain,
! [X0: $i] :
( product(compose(X0,g),c,d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_237176]) ).
tcf(c_238777,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_237176]) ).
tcf(c_238794,plain,
( defined(h,domain(domain(a)))
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_84,c_237017]) ).
tcf(c_238796,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_237017]) ).
tcf(c_238798,plain,
( defined(h,h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234489,c_237017]) ).
tcf(c_238799,plain,
( defined(h,g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234488,c_237017]) ).
tcf(c_238801,plain,
( defined(h,codomain(a))
| ~ identity_map(a)
| ~ defined(domain(a),c) ),
inference(superposition,[status(thm)],[c_236324,c_237017]) ).
tcf(c_238802,plain,
( defined(h,codomain(h))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_237017]) ).
tcf(c_238803,plain,
( defined(h,codomain(g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_237017]) ).
tcf(c_238804,plain,
( defined(h,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_237017]) ).
tcf(c_238842,plain,
( defined(g,domain(domain(a)))
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_84,c_237155]) ).
tcf(c_238844,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(a)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_237155]) ).
tcf(c_238846,plain,
( defined(g,h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234489,c_237155]) ).
tcf(c_238847,plain,
( defined(g,g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234488,c_237155]) ).
tcf(c_238849,plain,
( defined(g,codomain(a))
| ~ identity_map(a)
| ~ defined(domain(a),c) ),
inference(superposition,[status(thm)],[c_236324,c_237155]) ).
tcf(c_238850,plain,
( defined(g,codomain(h))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_237155]) ).
tcf(c_238851,plain,
( defined(g,codomain(g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_237155]) ).
tcf(c_238852,plain,
( defined(g,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_237155]) ).
tcf(c_238917,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_235653,c_81]) ).
tcf(c_238918,plain,
( defined(g,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235653,c_234456]) ).
tcf(c_238919,plain,
( defined(h,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235653,c_234446]) ).
tcf(c_238928,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238917,c_83]) ).
tcf(c_238939,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(g))
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_235654,c_81]) ).
tcf(c_238940,plain,
( defined(g,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235654,c_234456]) ).
tcf(c_238941,plain,
( defined(h,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235654,c_234446]) ).
tcf(c_238950,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238939,c_83]) ).
tcf(c_238968,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_236251,c_81]) ).
tcf(c_238969,plain,
( defined(g,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_236251,c_234456]) ).
tcf(c_238970,plain,
( defined(h,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_236251,c_234446]) ).
tcf(c_238979,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238968,c_83]) ).
tcf(c_239004,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236264,c_81]) ).
tcf(c_239005,plain,
( defined(g,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236264,c_234456]) ).
tcf(c_239006,plain,
( defined(h,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236264,c_234446]) ).
tcf(c_239015,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239004,c_83]) ).
tcf(c_239046,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(g))
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236300,c_81]) ).
tcf(c_239047,plain,
( defined(g,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236300,c_234456]) ).
tcf(c_239048,plain,
( defined(h,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236300,c_234446]) ).
tcf(c_239057,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239046,c_83]) ).
tcf(c_239081,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_236743,c_81]) ).
tcf(c_239082,plain,
( defined(g,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_236743,c_234456]) ).
tcf(c_239083,plain,
( defined(h,codomain(a))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_236743,c_234446]) ).
tcf(c_239092,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239081,c_83]) ).
tcf(c_239117,plain,
! [X0: $i] :
( product(compose(X0,g),c,X0)
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_237177]) ).
tcf(c_239118,plain,
( product(g,c,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_87,c_237177]) ).
tcf(c_239119,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_88,c_237177]) ).
tcf(c_239120,plain,
! [X0: $i] :
( product(X0,c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_237177]) ).
tcf(c_239167,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_237539,c_17134]) ).
tcf(c_239177,plain,
! [X0: $i] :
( defined(a,compose(b,X0))
| ~ defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_73,c_234272]) ).
tcf(c_239181,plain,
! [X0: $i] :
( defined(a,compose(X0,d))
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_237174,c_234272]) ).
tcf(c_239208,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(codomain(X1)))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_234516]) ).
tcf(c_239210,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ defined(X2,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_234516]) ).
tcf(c_239211,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(X0)
| ~ defined(X2,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_234516]) ).
tcf(c_239213,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234460,c_234516]) ).
tcf(c_239215,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(g)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234478,c_234516]) ).
tcf(c_239216,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234469,c_234516]) ).
tcf(c_239217,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237947,c_234516]) ).
tcf(c_239218,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237579,c_234516]) ).
tcf(c_239221,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_234516]) ).
tcf(c_239222,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_234516]) ).
tcf(c_239223,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_234516]) ).
tcf(c_239224,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_234516]) ).
tcf(c_239225,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_238093,c_234516]) ).
tcf(c_239226,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237542,c_234516]) ).
tcf(c_239227,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_234516]) ).
tcf(c_239228,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X2,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_234516]) ).
tcf(c_239326,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_239217]) ).
tcf(c_239327,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_239217]) ).
tcf(c_239345,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_239218]) ).
tcf(c_239346,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_239218]) ).
tcf(c_239384,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_239225]) ).
tcf(c_239385,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_239225]) ).
tcf(c_239386,plain,
( defined(codomain(c),c)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234460,c_239225]) ).
tcf(c_239403,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234236,c_239226]) ).
tcf(c_239404,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234347,c_239226]) ).
tcf(c_239405,plain,
( defined(codomain(c),c)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_234460,c_239226]) ).
tcf(c_239421,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236783,c_81]) ).
tcf(c_239422,plain,
( defined(g,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236783,c_234456]) ).
tcf(c_239423,plain,
( defined(h,codomain(h))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236783,c_234446]) ).
tcf(c_239432,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239421,c_83]) ).
tcf(c_239443,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ identity_map(codomain(g))
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236861,c_81]) ).
tcf(c_239444,plain,
( defined(g,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236861,c_234456]) ).
tcf(c_239445,plain,
( defined(h,codomain(g))
| ~ identity_map(b)
| ~ identity_map(a)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236861,c_234446]) ).
tcf(c_239454,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(b)
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239443,c_83]) ).
tcf(c_239478,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ identity_map(a)
| ~ defined(a,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_236959]) ).
tcf(c_239479,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(a)
| ~ defined(a,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_236959]) ).
tcf(c_239480,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(a)
| ~ identity_map(codomain(X0))
| ~ defined(a,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236959,c_81]) ).
tcf(c_239487,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(a)
| ~ defined(a,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239480,c_83]) ).
tcf(c_239492,plain,
defined(h,codomain(a)),
inference(global_subsumption_just,[status(thm)],[c_236964,c_1016,c_16280]) ).
tcf(c_239494,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_239492,c_81]) ).
tcf(c_239495,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239494,c_83]) ).
tcf(c_239513,plain,
defined(h,domain(codomain(a))),
inference(superposition,[status(thm)],[c_84,c_239495]) ).
tcf(c_239515,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_239495]) ).
tcf(c_239519,plain,
( defined(h,codomain(h))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_239495]) ).
tcf(c_239520,plain,
( defined(h,codomain(g))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_239495]) ).
tcf(c_239521,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_239495]) ).
tcf(c_239535,plain,
defined(h,codomain(domain(codomain(a)))),
inference(superposition,[status(thm)],[c_84,c_239515]) ).
tcf(c_239537,plain,
! [X0: $i] :
( defined(h,codomain(codomain(X0)))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_239515]) ).
tcf(c_239539,plain,
defined(h,codomain(codomain(a))),
inference(superposition,[status(thm)],[c_236053,c_239515]) ).
tcf(c_239541,plain,
( defined(h,codomain(codomain(h)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_239515]) ).
tcf(c_239542,plain,
( defined(h,codomain(codomain(g)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_239515]) ).
tcf(c_239543,plain,
( defined(h,codomain(compose(codomain(d),g)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_239515]) ).
tcf(c_239578,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_93,c_237220]) ).
tcf(c_239579,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_94,c_237220]) ).
tcf(c_239580,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),d)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_95,c_237220]) ).
tcf(c_239581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),compose(X0,X3))
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_73,c_237220]) ).
tcf(c_239582,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(X1,h,X2)
| ~ product(d,X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_86,c_237220]) ).
tcf(c_239583,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ defined(c,X2)
| ~ product(d,X2,X0)
| ~ product(codomain(X0),h,X1) ),
inference(superposition,[status(thm)],[c_87,c_237220]) ).
tcf(c_239584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),X3)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_88,c_237220]) ).
tcf(c_239585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(X3)
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_89,c_237220]) ).
tcf(c_239586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(h,h,X3)
| ~ product(d,X1,X2)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_235931,c_237220]) ).
tcf(c_239587,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),domain(X0))
| ~ defined(c,X2)
| ~ product(d,X2,domain(X0))
| ~ product(domain(X0),h,X1) ),
inference(superposition,[status(thm)],[c_236023,c_237220]) ).
tcf(c_239588,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),codomain(X0))
| ~ defined(c,X2)
| ~ product(d,X2,codomain(X0))
| ~ product(codomain(X0),h,X1) ),
inference(superposition,[status(thm)],[c_236052,c_237220]) ).
tcf(c_239589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(g,h,X3)
| ~ product(d,X1,X2)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_236632,c_237220]) ).
tcf(c_239590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X3),X2)
| ~ defined(c,X3)
| ~ defined(X0,h)
| ~ product(d,X3,c)
| ~ product(X0,d,X2)
| ~ product(compose(X0,h),h,X1) ),
inference(superposition,[status(thm)],[c_236911,c_237220]) ).
tcf(c_239591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,compose(c,X3),compose(X0,d))
| ~ defined(c,X3)
| ~ defined(X0,d)
| ~ product(d,X3,c)
| ~ product(X1,h,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_237220]) ).
tcf(c_239592,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(compose(codomain(d),g),h,X0) ),
inference(superposition,[status(thm)],[c_237501,c_237220]) ).
tcf(c_239593,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(d),h,X0) ),
inference(superposition,[status(thm)],[c_238065,c_237220]) ).
tcf(c_239594,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(g)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(d),h,X0) ),
inference(superposition,[status(thm)],[c_237502,c_237220]) ).
tcf(c_239752,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_73,c_234595]) ).
tcf(c_239755,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_89,c_234595]) ).
tcf(c_239769,plain,
! [X0: $i] :
( defined(b,domain(codomain(X0)))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_84,c_235191]) ).
tcf(c_239771,plain,
! [X0: $i,X1: $i] :
( defined(b,codomain(X1))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_235191]) ).
tcf(c_239772,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_235191]) ).
tcf(c_239774,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234460,c_235191]) ).
tcf(c_239776,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234478,c_235191]) ).
tcf(c_239777,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_235191]) ).
tcf(c_239778,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237947,c_235191]) ).
tcf(c_239779,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237579,c_235191]) ).
tcf(c_239782,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_235191]) ).
tcf(c_239783,plain,
! [X0: $i] :
( defined(b,codomain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_235191]) ).
tcf(c_239784,plain,
! [X0: $i] :
( defined(b,codomain(g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_235191]) ).
tcf(c_239785,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_235191]) ).
tcf(c_239786,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_238093,c_235191]) ).
tcf(c_239787,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237542,c_235191]) ).
tcf(c_239788,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_235191]) ).
tcf(c_239789,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(c,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_235191]) ).
tcf(c_239899,plain,
! [X0: $i] :
( defined(c,domain(codomain(X0)))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_84,c_235201]) ).
tcf(c_239901,plain,
! [X0: $i,X1: $i] :
( defined(c,codomain(X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_235201]) ).
tcf(c_239902,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_235201]) ).
tcf(c_239904,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234460,c_235201]) ).
tcf(c_239906,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234478,c_235201]) ).
tcf(c_239907,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_235201]) ).
tcf(c_239908,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237947,c_235201]) ).
tcf(c_239909,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237579,c_235201]) ).
tcf(c_239912,plain,
! [X0: $i] :
( defined(c,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_235201]) ).
tcf(c_239913,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_235201]) ).
tcf(c_239914,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_235201]) ).
tcf(c_239915,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_235201]) ).
tcf(c_239916,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_238093,c_235201]) ).
tcf(c_239917,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237542,c_235201]) ).
tcf(c_239918,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_235201]) ).
tcf(c_239919,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(d,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_235201]) ).
tcf(c_240121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,compose(compose(c,X0),X1),X3)
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_237221]) ).
tcf(c_240122,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,compose(c,X1),X2)
| ~ defined(c,X1)
| ~ product(d,X1,X0)
| ~ product(X0,domain(compose(c,X1)),X2) ),
inference(superposition,[status(thm)],[c_86,c_237221]) ).
tcf(c_240123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X1,X3)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_237221]) ).
tcf(c_240124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,compose(c,X0),X3)
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_237221]) ).
tcf(c_240125,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X2,X1)
| ~ defined(c,h)
| ~ product(d,h,X0)
| ~ product(c,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_236911,c_237221]) ).
tcf(c_240126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,compose(X0,d),X3)
| ~ defined(c,X1)
| ~ defined(X0,d)
| ~ product(d,X1,X2)
| ~ product(X2,c,X3)
| ~ product(X0,g,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_237174,c_237221]) ).
tcf(c_240127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ defined(c,domain(c))
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237221]) ).
tcf(c_240137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240127,c_84]) ).
tcf(c_240171,plain,
! [X0: $i] :
( defined(b,domain(codomain(X0)))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_84,c_235210]) ).
tcf(c_240173,plain,
! [X0: $i,X1: $i] :
( defined(b,codomain(X1))
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_235210]) ).
tcf(c_240174,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_235210]) ).
tcf(c_240176,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234460,c_235210]) ).
tcf(c_240178,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234478,c_235210]) ).
tcf(c_240179,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_235210]) ).
tcf(c_240180,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237947,c_235210]) ).
tcf(c_240181,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237579,c_235210]) ).
tcf(c_240184,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_235210]) ).
tcf(c_240185,plain,
! [X0: $i] :
( defined(b,codomain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_235210]) ).
tcf(c_240186,plain,
! [X0: $i] :
( defined(b,codomain(g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_235210]) ).
tcf(c_240187,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_235210]) ).
tcf(c_240188,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_238093,c_235210]) ).
tcf(c_240189,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237542,c_235210]) ).
tcf(c_240190,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(d,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_235210]) ).
tcf(c_240191,plain,
! [X0: $i,X1: $i] :
( defined(b,X1)
| ~ defined(d,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_235210]) ).
tcf(c_240323,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ identity_map(codomain(h))
| ~ defined(a,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236965,c_81]) ).
tcf(c_240324,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240323,c_83]) ).
tcf(c_240335,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ identity_map(codomain(g))
| ~ defined(a,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236966,c_81]) ).
tcf(c_240336,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240335,c_83]) ).
tcf(c_240347,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ identity_map(a)
| ~ defined(a,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_237028]) ).
tcf(c_240348,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(a)
| ~ defined(a,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_237028]) ).
tcf(c_240349,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(a)
| ~ identity_map(codomain(X0))
| ~ defined(a,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_237028,c_81]) ).
tcf(c_240356,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(a)
| ~ defined(a,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240349,c_83]) ).
tcf(c_240401,plain,
defined(g,codomain(a)),
inference(global_subsumption_just,[status(thm)],[c_237033,c_13233,c_15069]) ).
tcf(c_240403,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(a))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_240401,c_81]) ).
tcf(c_240404,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240403,c_83]) ).
tcf(c_240411,plain,
defined(g,domain(codomain(a))),
inference(superposition,[status(thm)],[c_84,c_240404]) ).
tcf(c_240413,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_240404]) ).
tcf(c_240417,plain,
( defined(g,codomain(h))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_240404]) ).
tcf(c_240418,plain,
( defined(g,codomain(g))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_240404]) ).
tcf(c_240419,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_240404]) ).
tcf(c_240433,plain,
defined(g,codomain(domain(codomain(a)))),
inference(superposition,[status(thm)],[c_84,c_240413]) ).
tcf(c_240435,plain,
! [X0: $i] :
( defined(g,codomain(codomain(X0)))
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_240413]) ).
tcf(c_240437,plain,
defined(g,codomain(codomain(a))),
inference(superposition,[status(thm)],[c_236053,c_240413]) ).
tcf(c_240439,plain,
( defined(g,codomain(codomain(h)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_240413]) ).
tcf(c_240440,plain,
( defined(g,codomain(codomain(g)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_240413]) ).
tcf(c_240441,plain,
( defined(g,codomain(compose(codomain(d),g)))
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_240413]) ).
tcf(c_240459,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,h),compose(c,X0))
| ~ defined(c,X0)
| ~ defined(X2,h)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_237222]) ).
tcf(c_240460,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(c,X0))
| ~ defined(c,X0)
| ~ defined(codomain(h),X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_237222]) ).
tcf(c_240461,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,compose(c,X0))
| ~ identity_map(X2)
| ~ defined(c,X0)
| ~ defined(X2,h)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_237222]) ).
tcf(c_240462,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(c,X0))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X2,h)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237222]) ).
tcf(c_240492,plain,
( defined(b,domain(codomain(a)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_235431]) ).
tcf(c_240494,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235431]) ).
tcf(c_240498,plain,
( defined(b,codomain(h))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_235431]) ).
tcf(c_240499,plain,
( defined(b,codomain(g))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_235431]) ).
tcf(c_240500,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_235431]) ).
tcf(c_240536,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ identity_map(codomain(h))
| ~ defined(a,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_237034,c_81]) ).
tcf(c_240537,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240536,c_83]) ).
tcf(c_240548,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ identity_map(codomain(g))
| ~ defined(a,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_237035,c_81]) ).
tcf(c_240549,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240548,c_83]) ).
tcf(c_240558,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(domain(X1),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237655,c_81]) ).
tcf(c_240559,plain,
! [X0: $i] :
( defined(X0,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234798]) ).
tcf(c_240560,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(domain(domain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234369]) ).
tcf(c_240561,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235210]) ).
tcf(c_240562,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235201]) ).
tcf(c_240563,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235191]) ).
tcf(c_240564,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X1,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234516]) ).
tcf(c_240573,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235792]) ).
tcf(c_240574,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234782]) ).
tcf(c_240575,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234366]) ).
tcf(c_240576,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235829]) ).
tcf(c_240577,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234754]) ).
tcf(c_240578,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234526]) ).
tcf(c_240579,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234363]) ).
tcf(c_240580,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234360]) ).
tcf(c_240581,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(domain(b)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235781]) ).
tcf(c_240582,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,c)
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235431]) ).
tcf(c_240583,plain,
( defined(g,codomain(compose(codomain(d),g)))
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_240413]) ).
tcf(c_240584,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_240404]) ).
tcf(c_240585,plain,
( defined(h,codomain(compose(codomain(d),g)))
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_239515]) ).
tcf(c_240586,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_239495]) ).
tcf(c_240587,plain,
( defined(g,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(domain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_237155]) ).
tcf(c_240588,plain,
( defined(h,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(domain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_237017]) ).
tcf(c_240714,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(c),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237663,c_81]) ).
tcf(c_240724,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(d),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237666,c_81]) ).
tcf(c_240739,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(domain(d),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237667,c_81]) ).
tcf(c_240755,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236672,c_237759]) ).
tcf(c_240756,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_236671,c_237759]) ).
tcf(c_240757,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_237759,c_81]) ).
tcf(c_240758,plain,
! [X0: $i] :
( defined(b,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_235210]) ).
tcf(c_240759,plain,
! [X0: $i] :
( defined(c,a)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_235201]) ).
tcf(c_240760,plain,
! [X0: $i] :
( defined(b,a)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_235191]) ).
tcf(c_240761,plain,
! [X0: $i,X1: $i] :
( defined(X0,a)
| ~ identity_map(X1)
| ~ defined(X1,c)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_237759,c_234516]) ).
tcf(c_240762,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_237759,c_235431]) ).
tcf(c_240846,plain,
! [X0: $i,X1: $i] :
( ( compose(h,compose(c,X0)) = X1 )
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ defined(h,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_73,c_237223]) ).
tcf(c_240847,plain,
! [X0: $i,X1: $i] :
( ( compose(c,X0) = X1 )
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ defined(h,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_88,c_237223]) ).
tcf(c_240848,plain,
! [X0: $i,X1: $i] :
( ( X1 = h )
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ defined(h,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_89,c_237223]) ).
tcf(c_240849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_237223]) ).
tcf(c_240850,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(c,domain(c))
| ~ product(h,c,X1)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237223]) ).
tcf(c_240855,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(h,c,X1)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240850,c_84]) ).
tcf(c_240952,plain,
( defined(b,domain(codomain(h)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_235440]) ).
tcf(c_240954,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235440]) ).
tcf(c_240958,plain,
( defined(b,codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_235440]) ).
tcf(c_240978,plain,
( defined(b,domain(codomain(g)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_235449]) ).
tcf(c_240980,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235449]) ).
tcf(c_240982,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237759,c_235449]) ).
tcf(c_240984,plain,
( defined(b,codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_235449]) ).
tcf(c_241005,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236672,c_237760]) ).
tcf(c_241006,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236671,c_237760]) ).
tcf(c_241007,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_81]) ).
tcf(c_241008,plain,
! [X0: $i] :
( defined(b,g)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_235210]) ).
tcf(c_241009,plain,
! [X0: $i] :
( defined(c,g)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_235201]) ).
tcf(c_241010,plain,
! [X0: $i] :
( defined(b,g)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_235191]) ).
tcf(c_241011,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_237760,c_234516]) ).
tcf(c_241012,plain,
( defined(b,g)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237760,c_235431]) ).
tcf(c_241017,plain,
( defined(b,g)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_235440]) ).
tcf(c_241018,plain,
( defined(b,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237760,c_235449]) ).
tcf(c_241060,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(codomain(X0))
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236672,c_237761]) ).
tcf(c_241061,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_236671,c_237761]) ).
tcf(c_241062,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_81]) ).
tcf(c_241063,plain,
! [X0: $i] :
( defined(b,h)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_235210]) ).
tcf(c_241064,plain,
! [X0: $i] :
( defined(c,h)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_235201]) ).
tcf(c_241065,plain,
! [X0: $i] :
( defined(b,h)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_235191]) ).
tcf(c_241066,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_237761,c_234516]) ).
tcf(c_241067,plain,
( defined(b,h)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237761,c_235431]) ).
tcf(c_241072,plain,
( defined(b,h)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_235440]) ).
tcf(c_241073,plain,
( defined(b,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237761,c_235449]) ).
tcf(c_241115,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_237865,c_81]) ).
tcf(c_241117,plain,
( defined(c,g)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237865,c_235201]) ).
tcf(c_241118,plain,
( defined(b,g)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237865,c_235191]) ).
tcf(c_241119,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237865,c_234516]) ).
tcf(c_241143,plain,
! [X0: $i] :
( defined(codomain(c),X0)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_237866,c_81]) ).
tcf(c_241145,plain,
( defined(c,h)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237866,c_235201]) ).
tcf(c_241146,plain,
( defined(b,h)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237866,c_235191]) ).
tcf(c_241147,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(a)
| ~ defined(a,d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237866,c_234516]) ).
tcf(c_241202,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_239326]) ).
tcf(c_241203,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(h)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_239326]) ).
tcf(c_241204,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239326,c_81]) ).
tcf(c_241205,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239326,c_234798]) ).
tcf(c_241207,plain,
( defined(a,a)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_235792]) ).
tcf(c_241208,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_234782]) ).
tcf(c_241210,plain,
( defined(a,a)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239326,c_235829]) ).
tcf(c_241211,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239326,c_234754]) ).
tcf(c_241212,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239326,c_234526]) ).
tcf(c_241215,plain,
( defined(a,a)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239326,c_235781]) ).
tcf(c_241272,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_239345]) ).
tcf(c_241273,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(g)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_239345]) ).
tcf(c_241274,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239345,c_81]) ).
tcf(c_241275,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239345,c_234798]) ).
tcf(c_241277,plain,
( defined(a,a)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239345,c_235792]) ).
tcf(c_241278,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239345,c_234782]) ).
tcf(c_241280,plain,
( defined(a,a)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239345,c_235829]) ).
tcf(c_241281,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239345,c_234754]) ).
tcf(c_241282,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239345,c_234526]) ).
tcf(c_241285,plain,
( defined(a,a)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239345,c_235781]) ).
tcf(c_241390,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_239384]) ).
tcf(c_241391,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(h)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_239384]) ).
tcf(c_241393,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239384,c_234798]) ).
tcf(c_241396,plain,
( defined(a,c)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_235792]) ).
tcf(c_241397,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_234782]) ).
tcf(c_241399,plain,
( defined(a,c)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239384,c_235829]) ).
tcf(c_241400,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239384,c_234754]) ).
tcf(c_241401,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239384,c_234526]) ).
tcf(c_241412,plain,
( defined(a,c)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239384,c_235781]) ).
tcf(c_241478,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_235975,c_239403]) ).
tcf(c_241479,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(g)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_235976,c_239403]) ).
tcf(c_241481,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239403,c_234798]) ).
tcf(c_241484,plain,
( defined(a,c)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239403,c_235792]) ).
tcf(c_241485,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239403,c_234782]) ).
tcf(c_241487,plain,
( defined(a,c)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239403,c_235829]) ).
tcf(c_241488,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239403,c_234754]) ).
tcf(c_241489,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239403,c_234526]) ).
tcf(c_241500,plain,
( defined(a,c)
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239403,c_235781]) ).
tcf(c_241615,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(codomain(a),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_239521,c_81]) ).
tcf(c_241624,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(codomain(a),d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_240419,c_81]) ).
tcf(c_241635,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_241205,c_81]) ).
tcf(c_241636,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_234798]) ).
tcf(c_241637,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_234369]) ).
tcf(c_241638,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_235210]) ).
tcf(c_241639,plain,
! [X0: $i] :
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_235201]) ).
tcf(c_241640,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_235191]) ).
tcf(c_241641,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ identity_map(h)
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_234516]) ).
tcf(c_241642,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241205,c_238529]) ).
tcf(c_241644,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_241205,c_234348]) ).
tcf(c_241645,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241205,c_238589]) ).
tcf(c_241650,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241205,c_235792]) ).
tcf(c_241651,plain,
( defined(b,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241205,c_234782]) ).
tcf(c_241652,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241205,c_234366]) ).
tcf(c_241653,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_235829]) ).
tcf(c_241654,plain,
( defined(c,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_234754]) ).
tcf(c_241655,plain,
( defined(b,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_234526]) ).
tcf(c_241656,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_234363]) ).
tcf(c_241657,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_234360]) ).
tcf(c_241658,plain,
( defined(a,codomain(a))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_241205,c_235781]) ).
tcf(c_241659,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_235431]) ).
tcf(c_241660,plain,
( defined(g,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_240413]) ).
tcf(c_241662,plain,
( defined(h,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_239515]) ).
tcf(c_241742,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241635,c_83]) ).
tcf(c_241799,plain,
( ( c = a )
| ~ identity_map(b)
| ~ defined(a,b) ),
inference(resolution,[status(thm)],[c_89,c_236243]) ).
tcf(c_241812,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_241208,c_81]) ).
tcf(c_241814,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241812,c_83]) ).
tcf(c_241827,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_73,c_237224]) ).
tcf(c_241829,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_237224]) ).
tcf(c_241830,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_237224]) ).
tcf(c_241831,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ defined(c,c)
| ~ defined(X1,d)
| ~ product(X1,g,d)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_237174,c_237224]) ).
tcf(c_241858,plain,
( defined(c,domain(codomain(a)))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_84,c_235839]) ).
tcf(c_241860,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235839]) ).
tcf(c_241863,plain,
( defined(c,a)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_237759,c_235839]) ).
tcf(c_241866,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_235839]) ).
tcf(c_241868,plain,
( defined(c,codomain(h))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_235839]) ).
tcf(c_241869,plain,
( defined(c,codomain(g))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_235839]) ).
tcf(c_241870,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,c)
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_235839]) ).
tcf(c_241871,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_235839]) ).
tcf(c_241904,plain,
( defined(c,domain(codomain(h)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_235849]) ).
tcf(c_241906,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235849]) ).
tcf(c_241908,plain,
( defined(c,h)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_235849]) ).
tcf(c_241911,plain,
( defined(c,g)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_235849]) ).
tcf(c_241913,plain,
( defined(c,codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_235849]) ).
tcf(c_241955,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_241211,c_81]) ).
tcf(c_241958,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241955,c_83]) ).
tcf(c_241999,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_241212,c_81]) ).
tcf(c_242001,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241999,c_83]) ).
tcf(c_242012,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_241275,c_81]) ).
tcf(c_242013,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_234798]) ).
tcf(c_242014,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_234369]) ).
tcf(c_242015,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_235210]) ).
tcf(c_242016,plain,
! [X0: $i] :
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_235201]) ).
tcf(c_242017,plain,
! [X0: $i] :
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_235191]) ).
tcf(c_242018,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(a))
| ~ identity_map(g)
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_234516]) ).
tcf(c_242019,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241275,c_238529]) ).
tcf(c_242021,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_241275,c_234348]) ).
tcf(c_242022,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241275,c_238589]) ).
tcf(c_242027,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241275,c_235792]) ).
tcf(c_242028,plain,
( defined(b,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241275,c_234782]) ).
tcf(c_242029,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241275,c_234366]) ).
tcf(c_242030,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_235829]) ).
tcf(c_242031,plain,
( defined(c,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_234754]) ).
tcf(c_242032,plain,
( defined(b,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_234526]) ).
tcf(c_242033,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_234363]) ).
tcf(c_242034,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_234360]) ).
tcf(c_242035,plain,
( defined(a,codomain(a))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_241275,c_235781]) ).
tcf(c_242036,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_235839]) ).
tcf(c_242037,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_235431]) ).
tcf(c_242038,plain,
( defined(g,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_240413]) ).
tcf(c_242040,plain,
( defined(h,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_239515]) ).
tcf(c_242125,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(g)
| ~ defined(X1,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242012,c_83]) ).
tcf(c_242221,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_241278,c_81]) ).
tcf(c_242223,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242221,c_83]) ).
tcf(c_242268,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_241281,c_81]) ).
tcf(c_242271,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242268,c_83]) ).
tcf(c_242282,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_241282,c_81]) ).
tcf(c_242284,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242282,c_83]) ).
tcf(c_242295,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_241393,c_81]) ).
tcf(c_242296,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_234798]) ).
tcf(c_242297,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_234369]) ).
tcf(c_242298,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_235210]) ).
tcf(c_242299,plain,
! [X0: $i] :
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_235201]) ).
tcf(c_242300,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_235191]) ).
tcf(c_242301,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ identity_map(h)
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241393,c_234516]) ).
tcf(c_242302,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241393,c_238529]) ).
tcf(c_242304,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_241393,c_234348]) ).
tcf(c_242305,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241393,c_238589]) ).
tcf(c_242308,plain,
( defined(g,codomain(c))
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_241393,c_234456]) ).
tcf(c_242309,plain,
( defined(h,codomain(c))
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_241393,c_234446]) ).
tcf(c_242310,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241393,c_235792]) ).
tcf(c_242311,plain,
( defined(b,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241393,c_234782]) ).
tcf(c_242312,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241393,c_234366]) ).
tcf(c_242313,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241393,c_235829]) ).
tcf(c_242314,plain,
( defined(c,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241393,c_234754]) ).
tcf(c_242315,plain,
( defined(b,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241393,c_234526]) ).
tcf(c_242316,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241393,c_234363]) ).
tcf(c_242317,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241393,c_234360]) ).
tcf(c_242318,plain,
( defined(a,codomain(c))
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_241393,c_235781]) ).
tcf(c_242319,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_235839]) ).
tcf(c_242320,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_235431]) ).
tcf(c_242321,plain,
( defined(g,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_240413]) ).
tcf(c_242322,plain,
( defined(g,codomain(c))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_240404]) ).
tcf(c_242323,plain,
( defined(h,codomain(codomain(c)))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_239515]) ).
tcf(c_242324,plain,
( defined(h,codomain(c))
| ~ identity_map(h)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_239495]) ).
tcf(c_242328,plain,
( defined(g,codomain(c))
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_237155]) ).
tcf(c_242329,plain,
( defined(h,codomain(c))
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_237017]) ).
tcf(c_242430,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242295,c_83]) ).
tcf(c_242500,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ identity_map(codomain(c))
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_241397,c_81]) ).
tcf(c_242502,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242500,c_83]) ).
tcf(c_242528,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_241400,c_81]) ).
tcf(c_242531,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242528,c_83]) ).
tcf(c_242542,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_241401,c_81]) ).
tcf(c_242544,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242542,c_83]) ).
tcf(c_242559,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_241481,c_81]) ).
tcf(c_242560,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_234798]) ).
tcf(c_242561,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_234369]) ).
tcf(c_242562,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_235210]) ).
tcf(c_242563,plain,
! [X0: $i] :
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_235201]) ).
tcf(c_242564,plain,
! [X0: $i] :
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_235191]) ).
tcf(c_242565,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(c))
| ~ identity_map(g)
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241481,c_234516]) ).
tcf(c_242566,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241481,c_238529]) ).
tcf(c_242568,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_241481,c_234348]) ).
tcf(c_242569,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241481,c_238589]) ).
tcf(c_242572,plain,
( defined(g,codomain(c))
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_241481,c_234456]) ).
tcf(c_242573,plain,
( defined(h,codomain(c))
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_241481,c_234446]) ).
tcf(c_242574,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241481,c_235792]) ).
tcf(c_242575,plain,
( defined(b,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241481,c_234782]) ).
tcf(c_242576,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241481,c_234366]) ).
tcf(c_242577,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241481,c_235829]) ).
tcf(c_242578,plain,
( defined(c,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241481,c_234754]) ).
tcf(c_242579,plain,
( defined(b,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241481,c_234526]) ).
tcf(c_242580,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241481,c_234363]) ).
tcf(c_242581,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_241481,c_234360]) ).
tcf(c_242582,plain,
( defined(a,codomain(c))
| ~ identity_map(g)
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_241481,c_235781]) ).
tcf(c_242583,plain,
( defined(c,codomain(c))
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_235839]) ).
tcf(c_242584,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(d,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_235431]) ).
tcf(c_242585,plain,
( defined(g,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_240413]) ).
tcf(c_242586,plain,
( defined(g,codomain(c))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_240404]) ).
tcf(c_242587,plain,
( defined(h,codomain(codomain(c)))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_239515]) ).
tcf(c_242588,plain,
( defined(h,codomain(c))
| ~ identity_map(g)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_239495]) ).
tcf(c_242592,plain,
( defined(g,codomain(c))
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_237155]) ).
tcf(c_242593,plain,
( defined(h,codomain(c))
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_237017]) ).
tcf(c_242694,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(g)
| ~ defined(X1,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242559,c_83]) ).
tcf(c_242831,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,compose(compose(c,X0),X1))
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_237225]) ).
tcf(c_242832,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(c,X1))
| ~ defined(c,X1)
| ~ product(d,X1,X0)
| ~ defined(X0,domain(compose(c,X1))) ),
inference(superposition,[status(thm)],[c_86,c_237225]) ).
tcf(c_242833,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X1)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_237225]) ).
tcf(c_242834,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,compose(c,X0))
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_237225]) ).
tcf(c_242835,plain,
! [X0: $i,X1: $i] :
( defined(h,X0)
| ~ defined(c,h)
| ~ defined(X1,c)
| ~ product(d,h,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_236911,c_237225]) ).
tcf(c_242836,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,compose(X0,d))
| ~ defined(c,X1)
| ~ defined(X2,c)
| ~ defined(X0,d)
| ~ product(d,X1,X2)
| ~ product(X0,g,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_237174,c_237225]) ).
tcf(c_242837,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ defined(X0,X1)
| ~ defined(c,domain(c))
| ~ product(c,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237225]) ).
tcf(c_242847,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ defined(X0,X1)
| ~ product(c,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242837,c_84]) ).
tcf(c_242923,plain,
( defined(c,domain(codomain(g)))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_84,c_235872]) ).
tcf(c_242925,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_235872]) ).
tcf(c_242927,plain,
( defined(c,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237761,c_235872]) ).
tcf(c_242928,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237759,c_235872]) ).
tcf(c_242930,plain,
( defined(c,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237760,c_235872]) ).
tcf(c_242933,plain,
( defined(c,codomain(a))
| ~ defined(d,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_235872]) ).
tcf(c_243025,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(codomain(c))
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(superposition,[status(thm)],[c_241485,c_81]) ).
tcf(c_243027,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243025,c_83]) ).
tcf(c_243048,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_241488,c_81]) ).
tcf(c_243051,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243048,c_83]) ).
tcf(c_243062,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_241489,c_81]) ).
tcf(c_243064,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(codomain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243062,c_83]) ).
tcf(c_243079,plain,
! [X0: $i,X1: $i] :
( ( domain(domain(X0)) = X1 )
| ~ product(domain(X0),domain(X0),X1) ),
inference(superposition,[status(thm)],[c_235975,c_236016]) ).
tcf(c_243080,plain,
! [X0: $i,X1: $i] :
( ( domain(codomain(X0)) = X1 )
| ~ product(codomain(X0),codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_235976,c_236016]) ).
tcf(c_243093,plain,
! [X0: $i,X1: $i] :
( ( codomain(codomain(X0)) = X1 )
| ~ product(codomain(X0),codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_236045]) ).
tcf(c_243094,plain,
! [X0: $i,X1: $i] :
( ( codomain(domain(X0)) = X1 )
| ~ product(domain(X0),domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_236045]) ).
tcf(c_243103,plain,
( defined(b,domain(codomain(a)))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_84,c_236255]) ).
tcf(c_243105,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236255]) ).
tcf(c_243108,plain,
( defined(b,a)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_237759,c_236255]) ).
tcf(c_243111,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_236255]) ).
tcf(c_243112,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_236255]) ).
tcf(c_243114,plain,
( defined(b,codomain(h))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_236255]) ).
tcf(c_243115,plain,
( defined(b,codomain(g))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_236255]) ).
tcf(c_243116,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,c)
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_236255]) ).
tcf(c_243117,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_236255]) ).
tcf(c_243118,plain,
( defined(b,codomain(c))
| ~ identity_map(g)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_236255]) ).
tcf(c_243119,plain,
( defined(b,codomain(c))
| ~ identity_map(h)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_236255]) ).
tcf(c_243188,plain,
( defined(b,domain(codomain(h)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_236268]) ).
tcf(c_243190,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236268]) ).
tcf(c_243192,plain,
( defined(b,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237761,c_236268]) ).
tcf(c_243193,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237759,c_236268]) ).
tcf(c_243195,plain,
( defined(b,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237760,c_236268]) ).
tcf(c_243198,plain,
( defined(b,codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_236268]) ).
tcf(c_243229,plain,
( defined(b,domain(codomain(g)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_236304]) ).
tcf(c_243231,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236304]) ).
tcf(c_243233,plain,
( defined(b,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237761,c_236304]) ).
tcf(c_243234,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237759,c_236304]) ).
tcf(c_243236,plain,
( defined(b,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237760,c_236304]) ).
tcf(c_243239,plain,
( defined(b,codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_236304]) ).
tcf(c_243305,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237227,c_36676]) ).
tcf(c_243312,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_243305,c_81]) ).
tcf(c_243323,plain,
! [X0: $i] :
( defined(X0,domain(codomain(a)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_84,c_236771]) ).
tcf(c_243325,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236771]) ).
tcf(c_243328,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(a)
| ~ defined(a,c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_236771]) ).
tcf(c_243331,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(g)
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_236771]) ).
tcf(c_243332,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_236771]) ).
tcf(c_243334,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_236771]) ).
tcf(c_243335,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_236771]) ).
tcf(c_243336,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,c)
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_236771]) ).
tcf(c_243337,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_236771]) ).
tcf(c_243338,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(g)
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241481,c_236771]) ).
tcf(c_243339,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241393,c_236771]) ).
tcf(c_243505,plain,
! [X0: $i] :
( defined(X0,domain(codomain(h)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_84,c_236811]) ).
tcf(c_243507,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236811]) ).
tcf(c_243509,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_236811]) ).
tcf(c_243510,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237759,c_236811]) ).
tcf(c_243512,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_236811]) ).
tcf(c_243515,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_236811]) ).
tcf(c_243558,plain,
! [X0: $i] :
( defined(X0,domain(codomain(g)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_84,c_236889]) ).
tcf(c_243560,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_236889]) ).
tcf(c_243562,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_236889]) ).
tcf(c_243563,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237759,c_236889]) ).
tcf(c_243565,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_236889]) ).
tcf(c_243568,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_236889]) ).
tcf(c_243629,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(domain(X0))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234236,c_236933]) ).
tcf(c_243630,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(a) )
| ~ identity_map(X0)
| ~ identity_map(codomain(X0))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234347,c_236933]) ).
tcf(c_243631,plain,
( ( codomain(a) = g )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_234443,c_236933]) ).
tcf(c_243632,plain,
( ( codomain(a) = h )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_234442,c_236933]) ).
tcf(c_243633,plain,
( ( codomain(a) = codomain(c) )
| ~ identity_map(codomain(c)) ),
inference(superposition,[status(thm)],[c_234441,c_236933]) ).
tcf(c_243634,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(domain(X0))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239345,c_236933]) ).
tcf(c_243635,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(h)
| ~ identity_map(domain(X0))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239326,c_236933]) ).
tcf(c_243636,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(domain(X0))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234487,c_236933]) ).
tcf(c_243640,plain,
( ( codomain(a) = codomain(d) )
| ~ identity_map(h)
| ~ identity_map(codomain(d)) ),
inference(superposition,[status(thm)],[c_237947,c_236933]) ).
tcf(c_243641,plain,
( ( codomain(a) = codomain(d) )
| ~ identity_map(g)
| ~ identity_map(codomain(d)) ),
inference(superposition,[status(thm)],[c_237579,c_236933]) ).
tcf(c_243642,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(a) )
| ~ identity_map(X0)
| ~ identity_map(codomain(X0))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_236933]) ).
tcf(c_243643,plain,
( ( compose(codomain(d),g) = codomain(a) )
| ~ identity_map(compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_237530,c_236933]) ).
tcf(c_243648,plain,
codomain(a) = codomain(c),
inference(forward_subsumption_resolution,[status(thm)],[c_243633,c_83]) ).
tcf(c_243649,plain,
( ( codomain(a) = codomain(d) )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243641,c_83]) ).
tcf(c_243652,plain,
( ( codomain(a) = codomain(d) )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243640,c_83]) ).
tcf(c_243657,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ defined(X0,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243636,c_82]) ).
tcf(c_243660,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ defined(X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243629,c_82]) ).
tcf(c_243663,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(a) )
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243642,c_83]) ).
tcf(c_243667,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243635,c_82]) ).
tcf(c_243671,plain,
! [X0: $i] :
( ( domain(X0) = codomain(a) )
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243634,c_82]) ).
tcf(c_243675,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(a) )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243630,c_83]) ).
tcf(c_243687,plain,
( defined(codomain(a),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(demodulation,[status(thm)],[c_237866,c_243648]) ).
tcf(c_243688,plain,
( defined(codomain(a),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(demodulation,[status(thm)],[c_237865,c_243648]) ).
tcf(c_243689,plain,
! [X0: $i] :
( defined(codomain(a),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(demodulation,[status(thm)],[c_234460,c_243648]) ).
tcf(c_243690,plain,
defined(codomain(a),a),
inference(demodulation,[status(thm)],[c_234441,c_243648]) ).
tcf(c_243700,plain,
! [X0: $i] :
( ( codomain(c) = X0 )
| ~ product(codomain(a),codomain(a),X0) ),
inference(superposition,[status(thm)],[c_243648,c_236045]) ).
tcf(c_243714,plain,
codomain(codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_243648,c_236672]) ).
tcf(c_243715,plain,
compose(codomain(a),c) = c,
inference(superposition,[status(thm)],[c_243648,c_236653]) ).
tcf(c_243716,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(codomain(a),c,X0) ),
inference(superposition,[status(thm)],[c_243648,c_234383]) ).
tcf(c_243717,plain,
compose(codomain(a),codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_243648,c_236044]) ).
tcf(c_243718,plain,
product(codomain(a),codomain(a),codomain(a)),
inference(superposition,[status(thm)],[c_243648,c_236052]) ).
tcf(c_243719,plain,
defined(codomain(a),codomain(a)),
inference(superposition,[status(thm)],[c_243648,c_236053]) ).
tcf(c_243720,plain,
domain(codomain(a)) = codomain(a),
inference(superposition,[status(thm)],[c_243648,c_235976]) ).
tcf(c_243724,plain,
product(codomain(a),c,c),
inference(superposition,[status(thm)],[c_243648,c_87]) ).
tcf(c_243725,plain,
defined(codomain(a),c),
inference(superposition,[status(thm)],[c_243648,c_85]) ).
tcf(c_243726,plain,
identity_map(codomain(a)),
inference(superposition,[status(thm)],[c_243648,c_83]) ).
tcf(c_243730,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ product(codomain(a),codomain(a),X0) ),
inference(light_normalisation,[status(thm)],[c_243700,c_243648]) ).
tcf(c_243753,plain,
( defined(b,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243725,c_235210]) ).
tcf(c_243754,plain,
( defined(c,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243725,c_235201]) ).
tcf(c_243755,plain,
( defined(b,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243725,c_235191]) ).
tcf(c_243756,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_243725,c_234516]) ).
tcf(c_243759,plain,
( defined(b,c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_243725,c_236255]) ).
tcf(c_243760,plain,
( defined(c,c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_243725,c_235839]) ).
tcf(c_243761,plain,
( defined(b,c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_243725,c_235431]) ).
tcf(c_243762,plain,
defined(g,codomain(c)),
inference(superposition,[status(thm)],[c_243725,c_240413]) ).
tcf(c_243764,plain,
defined(h,codomain(c)),
inference(superposition,[status(thm)],[c_243725,c_239515]) ).
tcf(c_243794,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(a),h,X0) ),
inference(superposition,[status(thm)],[c_243724,c_237220]) ).
tcf(c_243795,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,c,X2)
| ~ product(X0,codomain(a),X1) ),
inference(superposition,[status(thm)],[c_243724,c_80]) ).
tcf(c_243796,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_243724,c_77]) ).
tcf(c_243797,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,c)
| ~ product(X0,codomain(a),X1) ),
inference(superposition,[status(thm)],[c_243724,c_79]) ).
tcf(c_243800,plain,
! [X0: $i,X1: $i] :
( defined(codomain(a),X1)
| ~ defined(c,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_243724,c_76]) ).
tcf(c_243882,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234236,c_243756]) ).
tcf(c_243883,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234347,c_243756]) ).
tcf(c_243888,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234487,c_243756]) ).
tcf(c_243893,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_243756]) ).
tcf(c_243905,plain,
product(h,c,compose(d,domain(c))),
inference(global_subsumption_just,[status(thm)],[c_237271,c_4318,c_22286]) ).
tcf(c_243907,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(d,domain(c)))
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_243905,c_237220]) ).
tcf(c_243908,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ product(X0,h,X2)
| ~ product(X0,compose(d,domain(c)),X1) ),
inference(superposition,[status(thm)],[c_243905,c_80]) ).
tcf(c_243909,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X2,X1)
| ~ product(c,X0,X2)
| ~ product(compose(d,domain(c)),X0,X1) ),
inference(superposition,[status(thm)],[c_243905,c_77]) ).
tcf(c_243910,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ product(X0,h,X1)
| ~ defined(X0,compose(d,domain(c))) ),
inference(superposition,[status(thm)],[c_243905,c_79]) ).
tcf(c_243911,plain,
! [X0: $i] :
( ( compose(d,domain(c)) = X0 )
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_243905,c_90]) ).
tcf(c_243912,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,compose(d,domain(c))) ),
inference(superposition,[status(thm)],[c_243905,c_78]) ).
tcf(c_243913,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ product(c,X0,X1)
| ~ defined(compose(d,domain(c)),X0) ),
inference(superposition,[status(thm)],[c_243905,c_76]) ).
tcf(c_243914,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(compose(d,domain(c)),X0) ),
inference(superposition,[status(thm)],[c_243905,c_75]) ).
tcf(c_243916,plain,
compose(d,domain(c)) = d,
inference(superposition,[status(thm)],[c_243905,c_234379]) ).
tcf(c_244001,plain,
! [X0: $i] :
( ( domain(X0) = codomain(b) )
| ~ identity_map(domain(X0))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_234236,c_237196]) ).
tcf(c_244002,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(b) )
| ~ identity_map(X0)
| ~ identity_map(codomain(X0))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_234347,c_237196]) ).
tcf(c_244003,plain,
( ( codomain(b) = a )
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_234198,c_237196]) ).
tcf(c_244004,plain,
( ( codomain(b) = codomain(d) )
| ~ identity_map(g)
| ~ identity_map(codomain(d))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_234478,c_237196]) ).
tcf(c_244005,plain,
( ( codomain(b) = codomain(d) )
| ~ identity_map(h)
| ~ identity_map(codomain(d))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_234469,c_237196]) ).
tcf(c_244006,plain,
( ( codomain(b) = h )
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236960,c_237196]) ).
tcf(c_244007,plain,
( ( codomain(b) = g )
| ~ identity_map(g)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_237029,c_237196]) ).
tcf(c_244016,plain,
! [X0: $i] :
( ( domain(X0) = codomain(b) )
| ~ defined(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244001,c_82]) ).
tcf(c_244019,plain,
( ( codomain(b) = codomain(d) )
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244005,c_83]) ).
tcf(c_244023,plain,
( ( codomain(b) = codomain(d) )
| ~ identity_map(g)
| ~ defined(g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244004,c_83]) ).
tcf(c_244027,plain,
! [X0: $i] :
( ( codomain(X0) = codomain(b) )
| ~ identity_map(X0)
| ~ defined(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244002,c_83]) ).
tcf(c_244031,plain,
product(g,c,compose(d,domain(c))),
inference(global_subsumption_just,[status(thm)],[c_237441,c_4460,c_22286]) ).
tcf(c_244034,plain,
( product(d,domain(c),d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_243916,c_73]) ).
tcf(c_244049,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_235975,c_243882]) ).
tcf(c_244050,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_235976,c_243882]) ).
tcf(c_244052,plain,
! [X0: $i] :
( defined(X0,codomain(c))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_243882,c_234798]) ).
tcf(c_244054,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_243882,c_234315]) ).
tcf(c_244055,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_235792]) ).
tcf(c_244056,plain,
( defined(b,codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_234782]) ).
tcf(c_244058,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_235829]) ).
tcf(c_244059,plain,
( defined(c,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_234754]) ).
tcf(c_244060,plain,
( defined(b,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_234526]) ).
tcf(c_244063,plain,
( defined(b,codomain(a))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_236751]) ).
tcf(c_244064,plain,
( defined(c,codomain(a))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_236750]) ).
tcf(c_244065,plain,
( defined(c,a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_235407]) ).
tcf(c_244066,plain,
( defined(b,a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_243882,c_235348]) ).
tcf(c_244067,plain,
( defined(b,codomain(a))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_236747]) ).
tcf(c_244068,plain,
( defined(b,a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_235590]) ).
tcf(c_244069,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_243882,c_236741]) ).
tcf(c_244071,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_235781]) ).
tcf(c_244195,plain,
( product(h,c,domain(c))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_237272,c_4319,c_22286]) ).
tcf(c_244201,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),domain(c))
| ~ identity_map(d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_244195,c_237220]) ).
tcf(c_244202,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ identity_map(d)
| ~ product(X0,h,X2)
| ~ product(X0,domain(c),X1) ),
inference(superposition,[status(thm)],[c_244195,c_80]) ).
tcf(c_244203,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X2,X1)
| ~ identity_map(d)
| ~ product(c,X0,X2)
| ~ product(domain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_244195,c_77]) ).
tcf(c_244204,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X0,domain(c))
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_244195,c_79]) ).
tcf(c_244205,plain,
! [X0: $i] :
( ( domain(c) = X0 )
| ~ identity_map(d)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_244195,c_90]) ).
tcf(c_244206,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_244195,c_78]) ).
tcf(c_244207,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(d)
| ~ defined(domain(c),X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_244195,c_76]) ).
tcf(c_244208,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244195,c_75]) ).
tcf(c_244210,plain,
( ( domain(c) = d )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244195,c_234379]) ).
tcf(c_244243,plain,
product(d,domain(c),d),
inference(global_subsumption_just,[status(thm)],[c_244034,c_22970]) ).
tcf(c_244245,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),d)
| ~ defined(c,X0)
| ~ product(d,h,X1)
| ~ product(d,X0,domain(c)) ),
inference(superposition,[status(thm)],[c_244243,c_237220]) ).
tcf(c_244246,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(c),X2)
| ~ product(X0,d,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_244243,c_80]) ).
tcf(c_244247,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,X1,X2)
| ~ product(d,X0,X2)
| ~ product(domain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_244243,c_77]) ).
tcf(c_244248,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(c))
| ~ defined(X0,d)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_244243,c_79]) ).
tcf(c_244249,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_244243,c_90]) ).
tcf(c_244251,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(d,X0)
| ~ product(domain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_244243,c_76]) ).
tcf(c_244252,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244243,c_75]) ).
tcf(c_244253,plain,
defined(d,domain(c)),
inference(superposition,[status(thm)],[c_244243,c_74]) ).
tcf(c_244301,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244253,c_81]) ).
tcf(c_244304,plain,
defined(c,domain(c)),
inference(superposition,[status(thm)],[c_244253,c_234233]) ).
tcf(c_244305,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244301,c_82]) ).
tcf(c_244362,plain,
! [X0: $i,X1: $i] :
( defined(domain(c),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_244252,c_81]) ).
tcf(c_244365,plain,
( defined(domain(c),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244252,c_234315]) ).
tcf(c_244366,plain,
( defined(domain(c),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244252,c_243756]) ).
tcf(c_244367,plain,
( ( domain(c) = codomain(a) )
| ~ identity_map(domain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244252,c_236933]) ).
tcf(c_244368,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_239226]) ).
tcf(c_244369,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_239225]) ).
tcf(c_244370,plain,
( defined(domain(c),a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_239218]) ).
tcf(c_244371,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_239217]) ).
tcf(c_244372,plain,
( defined(domain(c),g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_234317]) ).
tcf(c_244373,plain,
( defined(domain(c),h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244252,c_234316]) ).
tcf(c_244377,plain,
( ( domain(c) = codomain(b) )
| ~ identity_map(domain(c))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_244252,c_237196]) ).
tcf(c_244410,plain,
( ( domain(c) = codomain(b) )
| ~ defined(d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244377,c_82]) ).
tcf(c_244413,plain,
( ( domain(c) = codomain(a) )
| ~ defined(d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244367,c_82]) ).
tcf(c_244424,plain,
defined(d,domain(domain(c))),
inference(superposition,[status(thm)],[c_84,c_244305]) ).
tcf(c_244425,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234236,c_244305]) ).
tcf(c_244426,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_244305]) ).
tcf(c_244428,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239345,c_244305]) ).
tcf(c_244429,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_244305]) ).
tcf(c_244430,plain,
( defined(d,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_244305]) ).
tcf(c_244431,plain,
( defined(d,h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234489,c_244305]) ).
tcf(c_244432,plain,
( defined(d,g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234488,c_244305]) ).
tcf(c_244433,plain,
( defined(d,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_244305]) ).
tcf(c_244434,plain,
( defined(d,c)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239403,c_244305]) ).
tcf(c_244435,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_244305]) ).
tcf(c_244437,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241275,c_244305]) ).
tcf(c_244438,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241205,c_244305]) ).
tcf(c_244439,plain,
( defined(d,codomain(a))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_236324,c_244305]) ).
tcf(c_244440,plain,
( defined(d,codomain(h))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_244305]) ).
tcf(c_244441,plain,
( defined(d,codomain(g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_244305]) ).
tcf(c_244442,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_244305]) ).
tcf(c_244443,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_244305]) ).
tcf(c_244553,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234320,c_244425]) ).
tcf(c_244554,plain,
defined(d,domain(d)),
inference(superposition,[status(thm)],[c_234262,c_244425]) ).
tcf(c_244555,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_234511,c_244425]) ).
tcf(c_244556,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241281,c_244425]) ).
tcf(c_244557,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_241211,c_244425]) ).
tcf(c_244558,plain,
( defined(d,codomain(a))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_235494,c_244425]) ).
tcf(c_244559,plain,
( defined(d,codomain(h))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235495,c_244425]) ).
tcf(c_244560,plain,
( defined(d,codomain(g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235496,c_244425]) ).
tcf(c_244561,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241275,c_244425]) ).
tcf(c_244562,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_241205,c_244425]) ).
tcf(c_244563,plain,
( defined(d,codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_236324,c_244425]) ).
tcf(c_244564,plain,
( defined(d,codomain(h))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236325,c_244425]) ).
tcf(c_244565,plain,
( defined(d,codomain(g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236326,c_244425]) ).
tcf(c_244567,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237509,c_244425]) ).
tcf(c_244568,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237666,c_244425]) ).
tcf(c_244569,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237659,c_244425]) ).
tcf(c_244666,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_244365,c_81]) ).
tcf(c_244669,plain,
( defined(domain(c),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244365,c_243756]) ).
tcf(c_244670,plain,
( ( domain(c) = codomain(a) )
| ~ identity_map(domain(c))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244365,c_236933]) ).
tcf(c_244671,plain,
( defined(d,a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244365,c_244305]) ).
tcf(c_244679,plain,
( ( domain(c) = codomain(a) )
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244670,c_82]) ).
tcf(c_244686,plain,
! [X0: $i] :
( product(h,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237311,c_22055]) ).
tcf(c_244696,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_244686,c_237220]) ).
tcf(c_244697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,h,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_244686,c_80]) ).
tcf(c_244698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X3)
| ~ product(compose(d,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_244686,c_77]) ).
tcf(c_244699,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,h,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_244686,c_79]) ).
tcf(c_244700,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X1) = X0 )
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_244686,c_90]) ).
tcf(c_244701,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_244686,c_78]) ).
tcf(c_244702,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_244686,c_76]) ).
tcf(c_244703,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_244686,c_75]) ).
tcf(c_244705,plain,
! [X0: $i] :
( ( compose(d,X0) = d )
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244686,c_234379]) ).
tcf(c_244815,plain,
( defined(c,h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_244206]) ).
tcf(c_244816,plain,
( defined(codomain(domain(c)),h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_85,c_244206]) ).
tcf(c_244817,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_234236,c_244206]) ).
tcf(c_244818,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_234347,c_244206]) ).
tcf(c_244819,plain,
( defined(b,h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_234257,c_244206]) ).
tcf(c_244823,plain,
( defined(d,h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244253,c_244206]) ).
tcf(c_244824,plain,
( defined(a,h)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_235635,c_244206]) ).
tcf(c_244825,plain,
( defined(h,h)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236962,c_244206]) ).
tcf(c_244826,plain,
( defined(g,h)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_237031,c_244206]) ).
tcf(c_244827,plain,
( defined(domain(c),h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_236024,c_244206]) ).
tcf(c_244860,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244815,c_81]) ).
tcf(c_244885,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244819,c_81]) ).
tcf(c_244895,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244823,c_81]) ).
tcf(c_244907,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244827,c_81]) ).
tcf(c_244908,plain,
( defined(c,codomain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244827,c_234798]) ).
tcf(c_244912,plain,
( defined(b,codomain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244827,c_234782]) ).
tcf(c_244931,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_244908,c_81]) ).
tcf(c_244932,plain,
( defined(d,codomain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244908,c_244425]) ).
tcf(c_244933,plain,
( defined(a,codomain(h))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_244908,c_238529]) ).
tcf(c_244940,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244931,c_83]) ).
tcf(c_244965,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_244912,c_81]) ).
tcf(c_244967,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244965,c_83]) ).
tcf(c_244975,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_244932,c_81]) ).
tcf(c_244979,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244975,c_83]) ).
tcf(c_244990,plain,
( defined(domain(c),a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244366,c_234315]) ).
tcf(c_244991,plain,
( defined(d,c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244366,c_244305]) ).
tcf(c_245025,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_244372,c_81]) ).
tcf(c_245028,plain,
( defined(d,g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244372,c_244305]) ).
tcf(c_245064,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244373,c_81]) ).
tcf(c_245067,plain,
( defined(d,h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244373,c_244305]) ).
tcf(c_245077,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237313,c_23605]) ).
tcf(c_245087,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_245077,c_237220]) ).
tcf(c_245088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,h,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_245077,c_80]) ).
tcf(c_245089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_245077,c_77]) ).
tcf(c_245090,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_245077,c_79]) ).
tcf(c_245091,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_245077,c_90]) ).
tcf(c_245092,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_245077,c_78]) ).
tcf(c_245093,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_245077,c_76]) ).
tcf(c_245094,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_245077,c_75]) ).
tcf(c_245096,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245077,c_234379]) ).
tcf(c_245251,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(c),X0) ),
inference(global_subsumption_just,[status(thm)],[c_244208,c_27991]) ).
tcf(c_245259,plain,
( defined(c,domain(codomain(h)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_244940]) ).
tcf(c_245261,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_244940]) ).
tcf(c_245264,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_237759,c_244940]) ).
tcf(c_245266,plain,
( defined(c,g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_244940]) ).
tcf(c_245267,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241275,c_244940]) ).
tcf(c_245268,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241205,c_244940]) ).
tcf(c_245269,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_244940]) ).
tcf(c_245271,plain,
( defined(c,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_244940]) ).
tcf(c_245272,plain,
( defined(c,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(codomain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_244940]) ).
tcf(c_245273,plain,
( defined(c,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_244940]) ).
tcf(c_245289,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245264,c_234199]) ).
tcf(c_245314,plain,
( defined(b,domain(codomain(h)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_244967]) ).
tcf(c_245316,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_244967]) ).
tcf(c_245319,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_237759,c_244967]) ).
tcf(c_245321,plain,
( defined(b,g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_244967]) ).
tcf(c_245322,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241275,c_244967]) ).
tcf(c_245323,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241205,c_244967]) ).
tcf(c_245324,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_244967]) ).
tcf(c_245326,plain,
( defined(b,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_244967]) ).
tcf(c_245327,plain,
( defined(b,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(codomain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_244967]) ).
tcf(c_245328,plain,
( defined(b,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_244967]) ).
tcf(c_245344,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245319,c_234199]) ).
tcf(c_245431,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_244553]) ).
tcf(c_245432,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ defined(c,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_244553]) ).
tcf(c_245433,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(codomain(X0))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_244553,c_81]) ).
tcf(c_245436,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_244553,c_234233]) ).
tcf(c_245443,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245433,c_83]) ).
tcf(c_245460,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(a))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_244563,c_81]) ).
tcf(c_245463,plain,
( defined(c,codomain(a))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_244563,c_234233]) ).
tcf(c_245466,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245460,c_83]) ).
tcf(c_245474,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_244564,c_81]) ).
tcf(c_245477,plain,
( defined(c,codomain(h))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_244564,c_234233]) ).
tcf(c_245480,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245474,c_83]) ).
tcf(c_245488,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(g))
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_244565,c_81]) ).
tcf(c_245491,plain,
( defined(c,codomain(g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_244565,c_234233]) ).
tcf(c_245494,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245488,c_83]) ).
tcf(c_245509,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,g,X0) ),
inference(superposition,[status(thm)],[c_93,c_237395]) ).
tcf(c_245510,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_94,c_237395]) ).
tcf(c_245511,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),d)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_95,c_237395]) ).
tcf(c_245512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),compose(X0,X3))
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_73,c_237395]) ).
tcf(c_245513,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(X1,g,X2)
| ~ product(d,X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_86,c_237395]) ).
tcf(c_245514,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ defined(c,X2)
| ~ product(d,X2,X0)
| ~ product(codomain(X0),g,X1) ),
inference(superposition,[status(thm)],[c_87,c_237395]) ).
tcf(c_245515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),X3)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_88,c_237395]) ).
tcf(c_245516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(X3)
| ~ defined(c,X2)
| ~ defined(X0,X3)
| ~ product(d,X2,X3)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_89,c_237395]) ).
tcf(c_245517,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_245077,c_237395]) ).
tcf(c_245518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(h,g,X3)
| ~ product(d,X1,X2)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_235931,c_237395]) ).
tcf(c_245519,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),domain(X0))
| ~ defined(c,X2)
| ~ product(d,X2,domain(X0))
| ~ product(domain(X0),g,X1) ),
inference(superposition,[status(thm)],[c_236023,c_237395]) ).
tcf(c_245520,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),codomain(X0))
| ~ defined(c,X2)
| ~ product(d,X2,codomain(X0))
| ~ product(codomain(X0),g,X1) ),
inference(superposition,[status(thm)],[c_236052,c_237395]) ).
tcf(c_245521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(g,g,X3)
| ~ product(d,X1,X2)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_236632,c_237395]) ).
tcf(c_245522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,compose(c,X3),X2)
| ~ defined(c,X3)
| ~ defined(X0,h)
| ~ product(d,X3,c)
| ~ product(X0,d,X2)
| ~ product(compose(X0,h),g,X1) ),
inference(superposition,[status(thm)],[c_236911,c_237395]) ).
tcf(c_245523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,compose(c,X3),compose(X0,d))
| ~ defined(c,X3)
| ~ defined(X0,d)
| ~ product(d,X3,c)
| ~ product(X1,g,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_237395]) ).
tcf(c_245524,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),domain(c))
| ~ identity_map(d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_244195,c_237395]) ).
tcf(c_245525,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_244686,c_237395]) ).
tcf(c_245526,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(compose(codomain(d),g),g,X0) ),
inference(superposition,[status(thm)],[c_237501,c_237395]) ).
tcf(c_245527,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_238065,c_237395]) ).
tcf(c_245528,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(g)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_237502,c_237395]) ).
tcf(c_245529,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),d)
| ~ defined(c,X0)
| ~ product(d,g,X1)
| ~ product(d,X0,domain(c)) ),
inference(superposition,[status(thm)],[c_244243,c_237395]) ).
tcf(c_245530,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(a),g,X0) ),
inference(superposition,[status(thm)],[c_243724,c_237395]) ).
tcf(c_245824,plain,
( defined(d,domain(codomain(h)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_244979]) ).
tcf(c_245826,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_244979]) ).
tcf(c_245829,plain,
( defined(d,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_237759,c_244979]) ).
tcf(c_245831,plain,
( defined(d,g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_244979]) ).
tcf(c_245832,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241275,c_244979]) ).
tcf(c_245833,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_241205,c_244979]) ).
tcf(c_245834,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_244979]) ).
tcf(c_245836,plain,
( defined(d,codomain(g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_244979]) ).
tcf(c_245837,plain,
( defined(d,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(codomain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_244979]) ).
tcf(c_245838,plain,
( defined(d,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_244979]) ).
tcf(c_245854,plain,
( defined(d,a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245829,c_234199]) ).
tcf(c_245960,plain,
product(h,c,compose(codomain(h),d)),
inference(global_subsumption_just,[status(thm)],[c_237453,c_4472,c_18761]) ).
tcf(c_245962,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(h),d))
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_245960,c_237395]) ).
tcf(c_245963,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(h),d))
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_245960,c_237220]) ).
tcf(c_245964,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ product(X0,h,X2)
| ~ product(X0,compose(codomain(h),d),X1) ),
inference(superposition,[status(thm)],[c_245960,c_80]) ).
tcf(c_245965,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X2,X1)
| ~ product(c,X0,X2)
| ~ product(compose(codomain(h),d),X0,X1) ),
inference(superposition,[status(thm)],[c_245960,c_77]) ).
tcf(c_245966,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ product(X0,h,X1)
| ~ defined(X0,compose(codomain(h),d)) ),
inference(superposition,[status(thm)],[c_245960,c_79]) ).
tcf(c_245967,plain,
! [X0: $i] :
( ( compose(codomain(h),d) = X0 )
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_245960,c_90]) ).
tcf(c_245968,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,compose(codomain(h),d)) ),
inference(superposition,[status(thm)],[c_245960,c_78]) ).
tcf(c_245969,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ product(c,X0,X1)
| ~ defined(compose(codomain(h),d),X0) ),
inference(superposition,[status(thm)],[c_245960,c_76]) ).
tcf(c_245970,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(compose(codomain(h),d),X0) ),
inference(superposition,[status(thm)],[c_245960,c_75]) ).
tcf(c_245972,plain,
compose(codomain(h),d) = d,
inference(superposition,[status(thm)],[c_245960,c_234379]) ).
tcf(c_246101,plain,
( product(codomain(h),d,d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_245972,c_73]) ).
tcf(c_246102,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ defined(codomain(h),d)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_237174]) ).
tcf(c_246120,plain,
defined(d,codomain(domain(domain(c)))),
inference(superposition,[status(thm)],[c_84,c_244426]) ).
tcf(c_246122,plain,
! [X0: $i] :
( defined(d,codomain(codomain(X0)))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_244426]) ).
tcf(c_246130,plain,
( defined(d,codomain(c))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244366,c_244426]) ).
tcf(c_246131,plain,
( defined(d,codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_244426]) ).
tcf(c_246132,plain,
( defined(d,codomain(c))
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239403,c_244426]) ).
tcf(c_246133,plain,
( defined(d,codomain(c))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_244426]) ).
tcf(c_246134,plain,
defined(d,codomain(domain(c))),
inference(superposition,[status(thm)],[c_236024,c_244426]) ).
tcf(c_246135,plain,
( defined(d,codomain(codomain(a)))
| ~ identity_map(g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241275,c_244426]) ).
tcf(c_246136,plain,
( defined(d,codomain(codomain(a)))
| ~ identity_map(h)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_241205,c_244426]) ).
tcf(c_246137,plain,
( defined(d,codomain(codomain(a)))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_236324,c_244426]) ).
tcf(c_246138,plain,
( defined(d,codomain(codomain(h)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_244426]) ).
tcf(c_246139,plain,
( defined(d,codomain(codomain(g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_244426]) ).
tcf(c_246140,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_244426]) ).
tcf(c_246141,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_244426]) ).
tcf(c_246145,plain,
( defined(d,codomain(a))
| ~ defined(c,a) ),
inference(light_normalisation,[status(thm)],[c_246131,c_243648]) ).
tcf(c_246148,plain,
( defined(d,codomain(a))
| ~ defined(d,a) ),
inference(light_normalisation,[status(thm)],[c_246130,c_243648]) ).
tcf(c_246182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,compose(compose(c,X0),X1),X3)
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_237396]) ).
tcf(c_246183,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,compose(c,X1),X2)
| ~ defined(c,X1)
| ~ product(d,X1,X0)
| ~ product(X0,domain(compose(c,X1)),X2) ),
inference(superposition,[status(thm)],[c_86,c_237396]) ).
tcf(c_246184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X1,X3)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_237396]) ).
tcf(c_246185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,compose(c,X0),X3)
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ product(d,X0,X2)
| ~ product(X2,X1,X3)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_237396]) ).
tcf(c_246186,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X2,X1)
| ~ defined(c,h)
| ~ product(d,h,X0)
| ~ product(c,d,X2)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_236911,c_237396]) ).
tcf(c_246187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,compose(X0,d),X3)
| ~ defined(c,X1)
| ~ defined(X0,d)
| ~ product(d,X1,X2)
| ~ product(X2,c,X3)
| ~ product(X0,g,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_237174,c_237396]) ).
tcf(c_246188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X3,X2)
| ~ defined(c,domain(c))
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237396]) ).
tcf(c_246198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X3,X2)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246188,c_84]) ).
tcf(c_246227,plain,
product(codomain(h),d,d),
inference(global_subsumption_just,[status(thm)],[c_246101,c_19681]) ).
tcf(c_246229,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,d)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_246227,c_237395]) ).
tcf(c_246230,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,d)
| ~ product(codomain(h),h,X0) ),
inference(superposition,[status(thm)],[c_246227,c_237220]) ).
tcf(c_246231,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,d,X2)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(h),X1) ),
inference(superposition,[status(thm)],[c_246227,c_80]) ).
tcf(c_246232,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(h),X1,X2)
| ~ product(d,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_246227,c_77]) ).
tcf(c_246233,plain,
! [X0: $i,X1: $i] :
( defined(X1,d)
| ~ defined(X0,d)
| ~ product(X0,codomain(h),X1) ),
inference(superposition,[status(thm)],[c_246227,c_79]) ).
tcf(c_246234,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_246227,c_90]) ).
tcf(c_246236,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ defined(d,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_246227,c_76]) ).
tcf(c_246238,plain,
defined(codomain(h),d),
inference(superposition,[status(thm)],[c_246227,c_74]) ).
tcf(c_246239,plain,
( product(codomain(h),c,d)
| ~ identity_map(h)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_246227,c_236914]) ).
tcf(c_246241,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_246227,c_234699]) ).
tcf(c_246247,plain,
( product(codomain(h),c,d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246239,c_85]) ).
tcf(c_246270,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246238,c_81]) ).
tcf(c_246271,plain,
( defined(b,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246238,c_235210]) ).
tcf(c_246272,plain,
( defined(c,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246238,c_235201]) ).
tcf(c_246273,plain,
( defined(b,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246238,c_235191]) ).
tcf(c_246274,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246238,c_234516]) ).
tcf(c_246275,plain,
( defined(codomain(h),c)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_246238,c_239226]) ).
tcf(c_246276,plain,
( defined(codomain(h),c)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246238,c_239225]) ).
tcf(c_246277,plain,
( defined(codomain(h),a)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_246238,c_239218]) ).
tcf(c_246278,plain,
( defined(codomain(h),a)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246238,c_239217]) ).
tcf(c_246279,plain,
defined(codomain(h),g),
inference(superposition,[status(thm)],[c_246238,c_234317]) ).
tcf(c_246280,plain,
defined(codomain(h),h),
inference(superposition,[status(thm)],[c_246238,c_234316]) ).
tcf(c_246281,plain,
( defined(d,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246238,c_244979]) ).
tcf(c_246282,plain,
( defined(b,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246238,c_244967]) ).
tcf(c_246283,plain,
( defined(c,d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246238,c_244940]) ).
tcf(c_246285,plain,
( defined(b,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_246238,c_236268]) ).
tcf(c_246286,plain,
( defined(c,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_246238,c_235849]) ).
tcf(c_246287,plain,
( defined(b,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_246238,c_235440]) ).
tcf(c_246359,plain,
( ( codomain(h) = d )
| ~ identity_map(d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_89,c_246234]) ).
tcf(c_246361,plain,
( ( codomain(h) = d )
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246359,c_246238]) ).
tcf(c_246372,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246279,c_81]) ).
tcf(c_246373,plain,
( defined(b,g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246279,c_235210]) ).
tcf(c_246374,plain,
( defined(c,g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246279,c_235201]) ).
tcf(c_246375,plain,
( defined(b,g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246279,c_235191]) ).
tcf(c_246376,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246279,c_234516]) ).
tcf(c_246377,plain,
( defined(d,g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246279,c_244979]) ).
tcf(c_246378,plain,
( defined(b,g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246279,c_244967]) ).
tcf(c_246379,plain,
( defined(c,g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246279,c_244940]) ).
tcf(c_246428,plain,
( defined(a,d)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246281,c_238589]) ).
tcf(c_246431,plain,
( defined(d,c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_239226]) ).
tcf(c_246432,plain,
( defined(d,c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246281,c_239225]) ).
tcf(c_246433,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_239218]) ).
tcf(c_246437,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_240189]) ).
tcf(c_246438,plain,
( defined(b,c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246281,c_240188]) ).
tcf(c_246439,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_240181]) ).
tcf(c_246441,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_239917]) ).
tcf(c_246442,plain,
( defined(c,c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246281,c_239916]) ).
tcf(c_246443,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246281,c_239909]) ).
tcf(c_246445,plain,
( defined(a,g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246281,c_238593]) ).
tcf(c_246523,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246282,c_81]) ).
tcf(c_246540,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246283,c_81]) ).
tcf(c_246567,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246377,c_81]) ).
tcf(c_246579,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246378,c_81]) ).
tcf(c_246589,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246379,c_81]) ).
tcf(c_246617,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234236,c_246274]) ).
tcf(c_246618,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234347,c_246274]) ).
tcf(c_246619,plain,
( defined(domain(c),d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_244252,c_246274]) ).
tcf(c_246620,plain,
defined(codomain(d),d),
inference(superposition,[status(thm)],[c_234468,c_246274]) ).
tcf(c_246621,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_234489,c_246274]) ).
tcf(c_246622,plain,
( defined(codomain(d),d)
| ~ identity_map(g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_234478,c_246274]) ).
tcf(c_246623,plain,
( defined(codomain(d),d)
| ~ identity_map(h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_234469,c_246274]) ).
tcf(c_246626,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_246274]) ).
tcf(c_246628,plain,
( defined(domain(c),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244373,c_246274]) ).
tcf(c_246629,plain,
( defined(domain(c),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244827,c_246274]) ).
tcf(c_248082,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246275,c_235210]) ).
tcf(c_248083,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246275,c_235201]) ).
tcf(c_248084,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246275,c_235191]) ).
tcf(c_248085,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246275,c_234516]) ).
tcf(c_248217,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,g),compose(c,X0))
| ~ defined(c,X0)
| ~ defined(X2,g)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_237397]) ).
tcf(c_248218,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(c,X0))
| ~ defined(c,X0)
| ~ defined(codomain(g),X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_237397]) ).
tcf(c_248219,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,compose(c,X0))
| ~ identity_map(X2)
| ~ defined(c,X0)
| ~ defined(X2,g)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_237397]) ).
tcf(c_248220,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(c,X0))
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ defined(X2,g)
| ~ defined(X2,X1)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237397]) ).
tcf(c_248256,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_246270,c_81]) ).
tcf(c_248257,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_235210]) ).
tcf(c_248258,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_235201]) ).
tcf(c_248259,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_235191]) ).
tcf(c_248260,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246270,c_234516]) ).
tcf(c_248261,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_246270,c_234315]) ).
tcf(c_248262,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_246270,c_243756]) ).
tcf(c_248263,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(d)
| ~ identity_map(codomain(h))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_246270,c_236933]) ).
tcf(c_248265,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_246270,c_239225]) ).
tcf(c_248267,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_246270,c_239217]) ).
tcf(c_248269,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_246270,c_234316]) ).
tcf(c_248271,plain,
( ( codomain(b) = codomain(h) )
| ~ identity_map(d)
| ~ identity_map(codomain(h))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_246270,c_237196]) ).
tcf(c_248275,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_246270,c_236811]) ).
tcf(c_248276,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_236268]) ).
tcf(c_248277,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_235849]) ).
tcf(c_248278,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_235440]) ).
tcf(c_248279,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_246270,c_244206]) ).
tcf(c_248326,plain,
( ( codomain(b) = codomain(h) )
| ~ identity_map(d)
| ~ defined(d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248271,c_83]) ).
tcf(c_248330,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248263,c_83]) ).
tcf(c_248375,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246276,c_235210]) ).
tcf(c_248376,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246276,c_235201]) ).
tcf(c_248377,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246276,c_235191]) ).
tcf(c_248378,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246276,c_234516]) ).
tcf(c_248405,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246277,c_81]) ).
tcf(c_248406,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246277,c_235210]) ).
tcf(c_248407,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246277,c_235201]) ).
tcf(c_248408,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246277,c_235191]) ).
tcf(c_248409,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246277,c_234516]) ).
tcf(c_248411,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(g)
| ~ identity_map(codomain(h)) ),
inference(superposition,[status(thm)],[c_246277,c_236933]) ).
tcf(c_248431,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248411,c_83]) ).
tcf(c_248479,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246278,c_81]) ).
tcf(c_248480,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246278,c_235210]) ).
tcf(c_248481,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246278,c_235201]) ).
tcf(c_248482,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246278,c_235191]) ).
tcf(c_248483,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246278,c_234516]) ).
tcf(c_248485,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(h)
| ~ identity_map(codomain(h)) ),
inference(superposition,[status(thm)],[c_246278,c_236933]) ).
tcf(c_248505,plain,
( ( codomain(a) = codomain(h) )
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248485,c_83]) ).
tcf(c_248568,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234236,c_246376]) ).
tcf(c_248569,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(X0)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234347,c_246376]) ).
tcf(c_248570,plain,
( defined(domain(c),g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_244252,c_246376]) ).
tcf(c_248581,plain,
( defined(domain(c),g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244827,c_246376]) ).
tcf(c_248595,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246629,c_81]) ).
tcf(c_248596,plain,
( defined(c,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_234798]) ).
tcf(c_248598,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_239226]) ).
tcf(c_248599,plain,
( defined(domain(c),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246629,c_239225]) ).
tcf(c_248600,plain,
( defined(domain(c),a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_239218]) ).
tcf(c_248601,plain,
( defined(domain(c),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246629,c_239217]) ).
tcf(c_248604,plain,
( defined(d,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_244426]) ).
tcf(c_248607,plain,
( defined(b,codomain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_234782]) ).
tcf(c_248609,plain,
( defined(b,codomain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_236865]) ).
tcf(c_248613,plain,
( defined(c,codomain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_236859]) ).
tcf(c_248723,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_248581,c_81]) ).
tcf(c_248726,plain,
( defined(d,codomain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_248581,c_244426]) ).
tcf(c_248745,plain,
! [X0: $i,X1: $i] :
( ( compose(g,compose(c,X0)) = X1 )
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ defined(g,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_73,c_237398]) ).
tcf(c_248746,plain,
! [X0: $i,X1: $i] :
( ( compose(c,X0) = X1 )
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ defined(g,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_88,c_237398]) ).
tcf(c_248747,plain,
! [X0: $i,X1: $i] :
( ( X1 = g )
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ defined(g,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_89,c_237398]) ).
tcf(c_248749,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(c,domain(c))
| ~ product(g,c,X1)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237398]) ).
tcf(c_248750,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(g,c,X1)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248749,c_84]) ).
tcf(c_248774,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_246372,c_81]) ).
tcf(c_248775,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246372,c_235210]) ).
tcf(c_248776,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246372,c_235201]) ).
tcf(c_248777,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246372,c_235191]) ).
tcf(c_248778,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(g)
| ~ defined(g,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246372,c_234516]) ).
tcf(c_248787,plain,
( defined(codomain(h),h)
| ~ identity_map(g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_246372,c_234316]) ).
tcf(c_248790,plain,
( ( codomain(b) = codomain(h) )
| ~ identity_map(g)
| ~ identity_map(codomain(h))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_246372,c_237196]) ).
tcf(c_248798,plain,
( defined(codomain(h),h)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,domain(c)) ),
inference(superposition,[status(thm)],[c_246372,c_244206]) ).
tcf(c_248815,plain,
( ( codomain(b) = codomain(h) )
| ~ identity_map(g)
| ~ defined(g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248790,c_83]) ).
tcf(c_248944,plain,
( ( compose(compose(codomain(d),g),c) = d )
| ~ defined(compose(codomain(d),g),c) ),
inference(superposition,[status(thm)],[c_73,c_237508]) ).
tcf(c_248945,plain,
( ( c = d )
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),c) ),
inference(superposition,[status(thm)],[c_88,c_237508]) ).
tcf(c_248947,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ defined(X0,d)
| ~ product(X0,g,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_237174,c_237508]) ).
tcf(c_248949,plain,
compose(compose(codomain(d),g),c) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_248944,c_237512]) ).
tcf(c_248950,plain,
( ( c = d )
| ~ identity_map(compose(codomain(d),g)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248945,c_237512]) ).
tcf(c_248961,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_248596,c_81]) ).
tcf(c_248963,plain,
( defined(a,codomain(d))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_248596,c_238529]) ).
tcf(c_248968,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248961,c_83]) ).
tcf(c_248976,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_248604,c_81]) ).
tcf(c_248980,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248976,c_83]) ).
tcf(c_248988,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_248607,c_81]) ).
tcf(c_248990,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248988,c_83]) ).
tcf(c_248998,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_248609,c_81]) ).
tcf(c_248999,plain,
( defined(a,codomain(g))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_248609,c_234348]) ).
tcf(c_249003,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248998,c_83]) ).
tcf(c_249011,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_248613,c_81]) ).
tcf(c_249015,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249011,c_83]) ).
tcf(c_249023,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_248726,c_81]) ).
tcf(c_249027,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249023,c_83]) ).
tcf(c_249035,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_246247,c_237395]) ).
tcf(c_249036,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(h),h,X0) ),
inference(superposition,[status(thm)],[c_246247,c_237220]) ).
tcf(c_249037,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(h),X1) ),
inference(superposition,[status(thm)],[c_246247,c_80]) ).
tcf(c_249038,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(h),X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_246247,c_77]) ).
tcf(c_249039,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,codomain(h),X1) ),
inference(superposition,[status(thm)],[c_246247,c_79]) ).
tcf(c_249040,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(codomain(h),c,X0) ),
inference(superposition,[status(thm)],[c_246247,c_90]) ).
tcf(c_249041,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_246247,c_78]) ).
tcf(c_249042,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_246247,c_76]) ).
tcf(c_249081,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_235975,c_246617]) ).
tcf(c_249082,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_235976,c_246617]) ).
tcf(c_249083,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_81]) ).
tcf(c_249084,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_234798]) ).
tcf(c_249086,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_239226]) ).
tcf(c_249087,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_239225]) ).
tcf(c_249088,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_239218]) ).
tcf(c_249089,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_239217]) ).
tcf(c_249091,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_234316]) ).
tcf(c_249092,plain,
( defined(d,codomain(d))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_244426]) ).
tcf(c_249093,plain,
( defined(d,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_244305]) ).
tcf(c_249094,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_235792]) ).
tcf(c_249095,plain,
( defined(b,codomain(d))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_234782]) ).
tcf(c_249097,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_235829]) ).
tcf(c_249098,plain,
( defined(c,codomain(d))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_234754]) ).
tcf(c_249099,plain,
( defined(b,codomain(d))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_234526]) ).
tcf(c_249102,plain,
( defined(b,codomain(g))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_236869]) ).
tcf(c_249103,plain,
( defined(c,codomain(g))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_236868]) ).
tcf(c_249104,plain,
( defined(b,codomain(h))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_236791]) ).
tcf(c_249105,plain,
( defined(c,codomain(h))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_236790]) ).
tcf(c_249107,plain,
( defined(c,h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_235408]) ).
tcf(c_249109,plain,
( defined(b,h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246617,c_235349]) ).
tcf(c_249110,plain,
( defined(b,codomain(g))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_236865]) ).
tcf(c_249111,plain,
( defined(b,codomain(h))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_236787]) ).
tcf(c_249113,plain,
( defined(b,h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_235591]) ).
tcf(c_249114,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_236859]) ).
tcf(c_249115,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_246617,c_236781]) ).
tcf(c_249118,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246617,c_235781]) ).
tcf(c_249119,plain,
( defined(g,d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_246617,c_237155]) ).
tcf(c_249120,plain,
( defined(h,d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_246617,c_237017]) ).
tcf(c_249334,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_73,c_237399]) ).
tcf(c_249336,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_237399]) ).
tcf(c_249337,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(c,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_89,c_237399]) ).
tcf(c_249338,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ defined(c,c)
| ~ defined(X1,d)
| ~ product(X1,g,d)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_237174,c_237399]) ).
tcf(c_249369,plain,
( defined(c,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_248968]) ).
tcf(c_249371,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_248968]) ).
tcf(c_249380,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_248968]) ).
tcf(c_249383,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_248968]) ).
tcf(c_249384,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_248968]) ).
tcf(c_249385,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_248968]) ).
tcf(c_249389,plain,
( defined(c,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_248968]) ).
tcf(c_249403,plain,
( defined(c,compose(codomain(d),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249389,c_85]) ).
tcf(c_249406,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249384,c_85]) ).
tcf(c_249410,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249383,c_85]) ).
tcf(c_249456,plain,
( defined(d,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_248980]) ).
tcf(c_249458,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_248980]) ).
tcf(c_249467,plain,
( defined(d,a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_248980]) ).
tcf(c_249470,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_248980]) ).
tcf(c_249471,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_248980]) ).
tcf(c_249472,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_248980]) ).
tcf(c_249476,plain,
( defined(d,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_248980]) ).
tcf(c_249490,plain,
( defined(d,compose(codomain(d),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249476,c_85]) ).
tcf(c_249493,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249471,c_85]) ).
tcf(c_249497,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249470,c_85]) ).
tcf(c_249609,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246619,c_81]) ).
tcf(c_249612,plain,
( defined(domain(c),c)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_239226]) ).
tcf(c_249613,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_239225]) ).
tcf(c_249614,plain,
( defined(domain(c),a)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_239218]) ).
tcf(c_249615,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_239217]) ).
tcf(c_249617,plain,
( defined(domain(c),h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_234316]) ).
tcf(c_249618,plain,
( defined(d,codomain(d))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_244426]) ).
tcf(c_249619,plain,
( defined(d,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_244305]) ).
tcf(c_249657,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_235975,c_248568]) ).
tcf(c_249658,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_235976,c_248568]) ).
tcf(c_249659,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(g)
| ~ defined(g,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_248568,c_81]) ).
tcf(c_249662,plain,
( defined(d,codomain(g))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_248568,c_244426]) ).
tcf(c_249663,plain,
( defined(d,g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_248568,c_244305]) ).
tcf(c_249664,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_248568,c_235792]) ).
tcf(c_249667,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_248568,c_235829]) ).
tcf(c_249672,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_248568,c_235781]) ).
tcf(c_249673,plain,
( defined(g,g)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_248568,c_237155]) ).
tcf(c_249674,plain,
( defined(h,g)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_248568,c_237017]) ).
tcf(c_249813,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_248570,c_81]) ).
tcf(c_249816,plain,
( defined(d,codomain(g))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_248570,c_244426]) ).
tcf(c_249817,plain,
( defined(d,g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_248570,c_244305]) ).
tcf(c_249833,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(d))
| ~ defined(X1,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249084,c_81]) ).
tcf(c_249834,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(d)))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_234798]) ).
tcf(c_249835,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_234369]) ).
tcf(c_249836,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_235210]) ).
tcf(c_249837,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_235201]) ).
tcf(c_249838,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_235191]) ).
tcf(c_249839,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_234516]) ).
tcf(c_249841,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_249084,c_238529]) ).
tcf(c_249843,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249084,c_234348]) ).
tcf(c_249844,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_249084,c_238589]) ).
tcf(c_249847,plain,
( defined(g,codomain(d))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_249084,c_234456]) ).
tcf(c_249848,plain,
( defined(h,codomain(d))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_249084,c_234446]) ).
tcf(c_249849,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_244426]) ).
tcf(c_249850,plain,
( defined(d,codomain(d))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_244305]) ).
tcf(c_249851,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_235792]) ).
tcf(c_249852,plain,
( defined(b,codomain(codomain(d)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_234782]) ).
tcf(c_249853,plain,
( defined(b,codomain(d))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_234366]) ).
tcf(c_249854,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_235829]) ).
tcf(c_249855,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_234754]) ).
tcf(c_249856,plain,
( defined(b,codomain(codomain(d)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_234526]) ).
tcf(c_249857,plain,
( defined(c,codomain(d))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_234363]) ).
tcf(c_249858,plain,
( defined(b,codomain(d))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_234360]) ).
tcf(c_249861,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249084,c_235781]) ).
tcf(c_249862,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_236771]) ).
tcf(c_249863,plain,
( defined(b,codomain(d))
| ~ defined(c,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_236255]) ).
tcf(c_249864,plain,
( defined(c,codomain(d))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_235839]) ).
tcf(c_249865,plain,
( defined(b,codomain(d))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_235431]) ).
tcf(c_249866,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_240413]) ).
tcf(c_249867,plain,
( defined(g,codomain(d))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_240404]) ).
tcf(c_249868,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_239515]) ).
tcf(c_249869,plain,
( defined(h,codomain(d))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_239495]) ).
tcf(c_249873,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_236811]) ).
tcf(c_249874,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_236268]) ).
tcf(c_249875,plain,
( defined(c,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_235849]) ).
tcf(c_249876,plain,
( defined(b,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_235440]) ).
tcf(c_249877,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(g),h) ),
inference(superposition,[status(thm)],[c_249084,c_236889]) ).
tcf(c_249881,plain,
( defined(g,codomain(d))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_237155]) ).
tcf(c_249882,plain,
( defined(h,codomain(d))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_237017]) ).
tcf(c_249953,plain,
( defined(b,codomain(d))
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249876,c_85]) ).
tcf(c_249956,plain,
( defined(c,codomain(d))
| ~ defined(d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249875,c_85]) ).
tcf(c_249959,plain,
( defined(b,codomain(d))
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249874,c_85]) ).
tcf(c_249987,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249833,c_83]) ).
tcf(c_250146,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,compose(compose(c,X0),X1))
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_237400]) ).
tcf(c_250147,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(c,X1))
| ~ defined(c,X1)
| ~ product(d,X1,X0)
| ~ defined(X0,domain(compose(c,X1))) ),
inference(superposition,[status(thm)],[c_86,c_237400]) ).
tcf(c_250148,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X1)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_88,c_237400]) ).
tcf(c_250149,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,compose(c,X0))
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ defined(X2,X1)
| ~ product(d,X0,X2)
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_237400]) ).
tcf(c_250150,plain,
! [X0: $i,X1: $i] :
( defined(g,X0)
| ~ defined(c,h)
| ~ defined(X1,c)
| ~ product(d,h,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_236911,c_237400]) ).
tcf(c_250151,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,compose(X0,d))
| ~ defined(c,X1)
| ~ defined(X2,c)
| ~ defined(X0,d)
| ~ product(d,X1,X2)
| ~ product(X0,g,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_237174,c_237400]) ).
tcf(c_250152,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X2)
| ~ defined(X0,X1)
| ~ defined(c,domain(c))
| ~ product(c,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_235952,c_237400]) ).
tcf(c_250162,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X2)
| ~ defined(X0,X1)
| ~ product(c,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250152,c_84]) ).
tcf(c_250197,plain,
( defined(b,domain(codomain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_248990]) ).
tcf(c_250199,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_248990]) ).
tcf(c_250208,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_248990]) ).
tcf(c_250211,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_248990]) ).
tcf(c_250212,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_248990]) ).
tcf(c_250213,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_248990]) ).
tcf(c_250217,plain,
( defined(b,compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_248990]) ).
tcf(c_250232,plain,
( defined(b,compose(codomain(d),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250217,c_85]) ).
tcf(c_250235,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250212,c_85]) ).
tcf(c_250239,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250211,c_85]) ).
tcf(c_250266,plain,
( defined(b,domain(codomain(g)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_249003]) ).
tcf(c_250268,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_249003]) ).
tcf(c_250270,plain,
( defined(b,h)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237761,c_249003]) ).
tcf(c_250273,plain,
( defined(b,g)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237760,c_249003]) ).
tcf(c_250276,plain,
( defined(b,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_249003]) ).
tcf(c_250302,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249092,c_81]) ).
tcf(c_250305,plain,
( defined(c,codomain(d))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_249092,c_234233]) ).
tcf(c_250308,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250302,c_83]) ).
tcf(c_250322,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249095,c_81]) ).
tcf(c_250324,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250322,c_83]) ).
tcf(c_250332,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249098,c_81]) ).
tcf(c_250336,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250332,c_83]) ).
tcf(c_250353,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249099,c_81]) ).
tcf(c_250355,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250353,c_83]) ).
tcf(c_250363,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(g))
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249102,c_81]) ).
tcf(c_250364,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_249102,c_234348]) ).
tcf(c_250368,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250363,c_83]) ).
tcf(c_250440,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(g))
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249103,c_81]) ).
tcf(c_250444,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250440,c_83]) ).
tcf(c_250452,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(g))
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249110,c_81]) ).
tcf(c_250453,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_249110,c_234348]) ).
tcf(c_250457,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250452,c_83]) ).
tcf(c_250465,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(g))
| ~ defined(X1,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249114,c_81]) ).
tcf(c_250466,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(g)))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_234798]) ).
tcf(c_250467,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_234369]) ).
tcf(c_250468,plain,
! [X0: $i] :
( defined(b,codomain(g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_235210]) ).
tcf(c_250469,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_235201]) ).
tcf(c_250470,plain,
! [X0: $i] :
( defined(b,codomain(g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_235191]) ).
tcf(c_250471,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_234516]) ).
tcf(c_250475,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249114,c_234348]) ).
tcf(c_250479,plain,
( defined(g,codomain(g))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_249114,c_234456]) ).
tcf(c_250480,plain,
( defined(h,codomain(g))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_249114,c_234446]) ).
tcf(c_250481,plain,
( defined(d,codomain(codomain(g)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_244426]) ).
tcf(c_250482,plain,
( defined(d,codomain(g))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_244305]) ).
tcf(c_250483,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_235792]) ).
tcf(c_250484,plain,
( defined(b,codomain(codomain(g)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_234782]) ).
tcf(c_250485,plain,
( defined(b,codomain(g))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_234366]) ).
tcf(c_250486,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_235829]) ).
tcf(c_250487,plain,
( defined(c,codomain(codomain(g)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_234754]) ).
tcf(c_250488,plain,
( defined(b,codomain(codomain(g)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_234526]) ).
tcf(c_250489,plain,
( defined(c,codomain(g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_234363]) ).
tcf(c_250490,plain,
( defined(b,codomain(g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_234360]) ).
tcf(c_250494,plain,
( defined(a,codomain(g))
| ~ identity_map(b)
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249114,c_235781]) ).
tcf(c_250495,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_236771]) ).
tcf(c_250496,plain,
( defined(b,codomain(g))
| ~ defined(c,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_236255]) ).
tcf(c_250497,plain,
( defined(c,codomain(g))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_235839]) ).
tcf(c_250498,plain,
( defined(b,codomain(g))
| ~ defined(d,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_235431]) ).
tcf(c_250499,plain,
( defined(g,codomain(codomain(g)))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_240413]) ).
tcf(c_250500,plain,
( defined(g,codomain(g))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_240404]) ).
tcf(c_250501,plain,
( defined(h,codomain(codomain(g)))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_239515]) ).
tcf(c_250502,plain,
( defined(h,codomain(g))
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_239495]) ).
tcf(c_250515,plain,
( defined(g,codomain(g))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_237155]) ).
tcf(c_250516,plain,
( defined(h,codomain(g))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_237017]) ).
tcf(c_250593,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250465,c_83]) ).
tcf(c_250689,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237402,c_36666]) ).
tcf(c_250696,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_250689,c_81]) ).
tcf(c_250708,plain,
( defined(c,domain(codomain(g)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_249015]) ).
tcf(c_250710,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_249015]) ).
tcf(c_250712,plain,
( defined(c,h)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237761,c_249015]) ).
tcf(c_250715,plain,
( defined(c,g)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237760,c_249015]) ).
tcf(c_250718,plain,
( defined(c,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_249015]) ).
tcf(c_250763,plain,
( defined(d,domain(codomain(g)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_249027]) ).
tcf(c_250765,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_249027]) ).
tcf(c_250767,plain,
( defined(d,h)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237761,c_249027]) ).
tcf(c_250770,plain,
( defined(d,g)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237760,c_249027]) ).
tcf(c_250773,plain,
( defined(d,codomain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_249027]) ).
tcf(c_250861,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(g))
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249662,c_81]) ).
tcf(c_250864,plain,
( defined(c,codomain(g))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_249662,c_234233]) ).
tcf(c_250867,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250861,c_83]) ).
tcf(c_250888,plain,
( defined(d,codomain(h))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_244440]) ).
tcf(c_250890,plain,
( defined(d,codomain(h))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_244440]) ).
tcf(c_250895,plain,
( product(g,c,domain(c))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_237442,c_4461,c_22286]) ).
tcf(c_250901,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),domain(c))
| ~ identity_map(d)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_250895,c_237395]) ).
tcf(c_250902,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),domain(c))
| ~ identity_map(d)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_250895,c_237220]) ).
tcf(c_250903,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ identity_map(d)
| ~ product(X0,g,X2)
| ~ product(X0,domain(c),X1) ),
inference(superposition,[status(thm)],[c_250895,c_80]) ).
tcf(c_250904,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X2,X1)
| ~ identity_map(d)
| ~ product(c,X0,X2)
| ~ product(domain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_250895,c_77]) ).
tcf(c_250905,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X0,domain(c))
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_250895,c_79]) ).
tcf(c_250906,plain,
! [X0: $i] :
( ( domain(c) = X0 )
| ~ identity_map(d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_250895,c_90]) ).
tcf(c_250907,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_250895,c_78]) ).
tcf(c_250908,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(d)
| ~ defined(domain(c),X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_250895,c_76]) ).
tcf(c_250953,plain,
( defined(codomain(domain(c)),g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_85,c_250907]) ).
tcf(c_250954,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_234236,c_250907]) ).
tcf(c_250955,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_234347,c_250907]) ).
tcf(c_250962,plain,
( defined(h,g)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236962,c_250907]) ).
tcf(c_250963,plain,
( defined(g,g)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_237031,c_250907]) ).
tcf(c_251001,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_244824,c_81]) ).
tcf(c_251017,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_245289,c_81]) ).
tcf(c_251019,plain,
( defined(a,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_245289,c_238529]) ).
tcf(c_251040,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_245344,c_81]) ).
tcf(c_251043,plain,
( ( codomain(a) = b )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_245344,c_236933]) ).
tcf(c_251059,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_245854,c_81]) ).
tcf(c_251066,plain,
( ( codomain(a) = d )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_245854,c_236933]) ).
tcf(c_251081,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246428,c_81]) ).
tcf(c_251082,plain,
( defined(a,c)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246428,c_239226]) ).
tcf(c_251083,plain,
( defined(a,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246428,c_239225]) ).
tcf(c_251084,plain,
( defined(a,a)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246428,c_239218]) ).
tcf(c_251092,plain,
( defined(g,d)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_246428,c_234456]) ).
tcf(c_251093,plain,
( defined(h,d)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_246428,c_234446]) ).
tcf(c_251180,plain,
( product(h,c,codomain(h))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_237455,c_4474,c_18761]) ).
tcf(c_251186,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),codomain(h))
| ~ identity_map(d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_251180,c_237395]) ).
tcf(c_251187,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),codomain(h))
| ~ identity_map(d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_251180,c_237220]) ).
tcf(c_251188,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ identity_map(d)
| ~ product(X0,h,X2)
| ~ product(X0,codomain(h),X1) ),
inference(superposition,[status(thm)],[c_251180,c_80]) ).
tcf(c_251189,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,X2,X1)
| ~ identity_map(d)
| ~ product(c,X0,X2)
| ~ product(codomain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_251180,c_77]) ).
tcf(c_251190,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X0,codomain(h))
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_251180,c_79]) ).
tcf(c_251191,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ~ identity_map(d)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_251180,c_90]) ).
tcf(c_251192,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_251180,c_78]) ).
tcf(c_251193,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(d)
| ~ defined(codomain(h),X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_251180,c_76]) ).
tcf(c_251604,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,codomain(h)) ),
inference(global_subsumption_just,[status(thm)],[c_251192,c_2045,c_92501]) ).
tcf(c_251611,plain,
defined(codomain(codomain(h)),h),
inference(superposition,[status(thm)],[c_85,c_251604]) ).
tcf(c_251612,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_251604]) ).
tcf(c_251614,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_251604]) ).
tcf(c_251615,plain,
( defined(domain(c),h)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_251604]) ).
tcf(c_251621,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_235638,c_251604]) ).
tcf(c_251622,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_235637,c_251604]) ).
tcf(c_251623,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_235634,c_251604]) ).
tcf(c_251624,plain,
( defined(h,h)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_236959,c_251604]) ).
tcf(c_251628,plain,
( defined(g,h)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_237028,c_251604]) ).
tcf(c_251629,plain,
( defined(codomain(h),h)
| ~ identity_map(g)
| ~ defined(g,codomain(h)) ),
inference(superposition,[status(thm)],[c_246372,c_251604]) ).
tcf(c_251630,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_246270,c_251604]) ).
tcf(c_251640,plain,
( defined(d,h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_244553,c_251604]) ).
tcf(c_251676,plain,
! [X0: $i] :
( defined(d,domain(codomain(X0)))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_84,c_245443]) ).
tcf(c_251678,plain,
! [X0: $i,X1: $i] :
( defined(d,codomain(X1))
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_245443]) ).
tcf(c_251679,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_245443]) ).
tcf(c_251681,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234478,c_245443]) ).
tcf(c_251682,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_245443]) ).
tcf(c_251687,plain,
! [X0: $i] :
( defined(d,h)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_245443]) ).
tcf(c_251688,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246372,c_245443]) ).
tcf(c_251690,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246278,c_245443]) ).
tcf(c_251691,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246277,c_245443]) ).
tcf(c_251692,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_245443]) ).
tcf(c_251694,plain,
! [X0: $i] :
( defined(d,g)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_245443]) ).
tcf(c_251696,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241275,c_245443]) ).
tcf(c_251697,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_241205,c_245443]) ).
tcf(c_251698,plain,
! [X0: $i] :
( defined(d,codomain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_236324,c_245443]) ).
tcf(c_251699,plain,
! [X0: $i] :
( defined(d,codomain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_245443]) ).
tcf(c_251700,plain,
! [X0: $i] :
( defined(d,codomain(g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_245443]) ).
tcf(c_251701,plain,
! [X0: $i] :
( defined(d,codomain(g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_245443]) ).
tcf(c_251702,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_245443]) ).
tcf(c_251703,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_245443]) ).
tcf(c_251704,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_245443]) ).
tcf(c_251707,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246276,c_245443]) ).
tcf(c_251708,plain,
( defined(d,c)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246275,c_245443]) ).
tcf(c_251711,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(c,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_245443]) ).
tcf(c_251712,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(c,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_245443]) ).
tcf(c_251930,plain,
( defined(d,domain(codomain(a)))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_84,c_245466]) ).
tcf(c_251932,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,c)
| ~ defined(codomain(a),X0) ),
inference(superposition,[status(thm)],[c_234320,c_245466]) ).
tcf(c_251933,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234347,c_245466]) ).
tcf(c_251934,plain,
( defined(d,h)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237761,c_245466]) ).
tcf(c_251935,plain,
( defined(d,a)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_237759,c_245466]) ).
tcf(c_251937,plain,
( defined(d,g)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237760,c_245466]) ).
tcf(c_251938,plain,
( defined(d,c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_243725,c_245466]) ).
tcf(c_251939,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241275,c_245466]) ).
tcf(c_251940,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_241205,c_245466]) ).
tcf(c_251942,plain,
( defined(d,codomain(h))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236325,c_245466]) ).
tcf(c_251943,plain,
( defined(d,codomain(g))
| ~ defined(c,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249114,c_245466]) ).
tcf(c_251944,plain,
( defined(d,codomain(g))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_236326,c_245466]) ).
tcf(c_251945,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,c)
| ~ defined(domain(codomain(a)),d) ),
inference(superposition,[status(thm)],[c_237655,c_245466]) ).
tcf(c_251946,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,c)
| ~ defined(codomain(a),d) ),
inference(superposition,[status(thm)],[c_237509,c_245466]) ).
tcf(c_251947,plain,
( defined(d,codomain(d))
| ~ defined(c,c)
| ~ defined(codomain(a),h) ),
inference(superposition,[status(thm)],[c_249084,c_245466]) ).
tcf(c_252003,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246433,c_81]) ).
tcf(c_252010,plain,
( ( codomain(a) = d )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246433,c_236933]) ).
tcf(c_252045,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246439,c_81]) ).
tcf(c_252048,plain,
( ( codomain(a) = b )
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_246439,c_236933]) ).
tcf(c_252092,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246443,c_81]) ).
tcf(c_252111,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_246445,c_81]) ).
tcf(c_252127,plain,
! [X0: $i] :
( product(g,c,compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237481,c_43216]) ).
tcf(c_252137,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_252127,c_237395]) ).
tcf(c_252138,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_252127,c_237220]) ).
tcf(c_252139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,g,X3)
| ~ product(X0,compose(d,X1),X2) ),
inference(superposition,[status(thm)],[c_252127,c_80]) ).
tcf(c_252140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X3,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X3)
| ~ product(compose(d,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_252127,c_77]) ).
tcf(c_252141,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,g,X2)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_252127,c_79]) ).
tcf(c_252142,plain,
! [X0: $i,X1: $i] :
( ( compose(d,X1) = X0 )
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_252127,c_90]) ).
tcf(c_252143,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,compose(d,X1)) ),
inference(superposition,[status(thm)],[c_252127,c_78]) ).
tcf(c_252144,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X2)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X2)
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_252127,c_76]) ).
tcf(c_252249,plain,
( defined(d,domain(codomain(h)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_245480]) ).
tcf(c_252251,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_245480]) ).
tcf(c_252253,plain,
( defined(d,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_246238,c_245480]) ).
tcf(c_252254,plain,
( defined(d,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237761,c_245480]) ).
tcf(c_252259,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237759,c_245480]) ).
tcf(c_252261,plain,
( defined(d,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237760,c_245480]) ).
tcf(c_252264,plain,
( defined(d,codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_236324,c_245480]) ).
tcf(c_252270,plain,
( defined(d,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_245480]) ).
tcf(c_252278,plain,
( defined(d,codomain(d))
| ~ defined(c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252270,c_85]) ).
tcf(c_252319,plain,
( defined(d,domain(codomain(g)))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_84,c_245494]) ).
tcf(c_252321,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_245494]) ).
tcf(c_252323,plain,
( defined(d,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237761,c_245494]) ).
tcf(c_252324,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237759,c_245494]) ).
tcf(c_252326,plain,
( defined(d,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237760,c_245494]) ).
tcf(c_252329,plain,
( defined(d,codomain(a))
| ~ defined(c,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_245494]) ).
tcf(c_252357,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_249403,c_81]) ).
tcf(c_252359,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_249403,c_238529]) ).
tcf(c_252372,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_249490,c_81]) ).
tcf(c_252389,plain,
! [X0: $i] :
( defined(domain(X0),codomain(d))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_235975,c_249835]) ).
tcf(c_252390,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(d))
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_235976,c_249835]) ).
tcf(c_252402,plain,
( defined(d,codomain(d))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_244373,c_249850]) ).
tcf(c_252415,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_237483,c_44528]) ).
tcf(c_252425,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_252415,c_237395]) ).
tcf(c_252426,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_252415,c_237220]) ).
tcf(c_252427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(X0,g,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_252415,c_80]) ).
tcf(c_252428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_252415,c_77]) ).
tcf(c_252429,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_252415,c_79]) ).
tcf(c_252430,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_252415,c_90]) ).
tcf(c_252431,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_252415,c_78]) ).
tcf(c_252432,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_252415,c_76]) ).
tcf(c_252492,plain,
! [X0: $i] :
( defined(X0,domain(codomain(d)))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_84,c_249987]) ).
tcf(c_252494,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_249987]) ).
tcf(c_252498,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234469,c_249987]) ).
tcf(c_252503,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_237759,c_249987]) ).
tcf(c_252505,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_237760,c_249987]) ).
tcf(c_252506,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(g)
| ~ defined(X0,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_249987]) ).
tcf(c_252507,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_249987]) ).
tcf(c_252508,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ defined(X0,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_249987]) ).
tcf(c_252509,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_249987]) ).
tcf(c_252513,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_249987]) ).
tcf(c_252538,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252513,c_85]) ).
tcf(c_252541,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252507,c_85]) ).
tcf(c_252545,plain,
! [X0: $i] :
( defined(X0,codomain(a))
| ~ identity_map(g)
| ~ defined(X0,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252506,c_85]) ).
tcf(c_252569,plain,
( defined(g,codomain(d))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237761,c_249867]) ).
tcf(c_252578,plain,
( defined(h,codomain(d))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237761,c_249869]) ).
tcf(c_252586,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_250232,c_81]) ).
tcf(c_252601,plain,
! [X0: $i] :
( defined(domain(X0),codomain(g))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_235975,c_250467]) ).
tcf(c_252602,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(g))
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_235976,c_250467]) ).
tcf(c_252655,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,compose(codomain(d),g)),c,X1)
| ~ product(X0,d,X1)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_73,c_237505]) ).
tcf(c_252656,plain,
! [X0: $i] :
( product(compose(codomain(d),g),c,X0)
| ~ product(codomain(compose(codomain(d),g)),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_237505]) ).
tcf(c_252657,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),c,X1)
| ~ identity_map(X0)
| ~ product(X0,d,X1)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_88,c_237505]) ).
tcf(c_252658,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ product(X0,d,X1)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_89,c_237505]) ).
tcf(c_252694,plain,
( defined(d,domain(codomain(d)))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_84,c_250308]) ).
tcf(c_252696,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250308]) ).
tcf(c_252700,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_250308]) ).
tcf(c_252708,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_250308]) ).
tcf(c_252709,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_250308]) ).
tcf(c_252710,plain,
( defined(d,codomain(a))
| ~ defined(c,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_250308]) ).
tcf(c_252711,plain,
( defined(d,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_250308]) ).
tcf(c_252715,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_250308]) ).
tcf(c_252732,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252715,c_85]) ).
tcf(c_252735,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252709,c_85]) ).
tcf(c_252739,plain,
( defined(d,codomain(a))
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252708,c_85]) ).
tcf(c_252812,plain,
( defined(b,domain(codomain(d)))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_84,c_250324]) ).
tcf(c_252814,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250324]) ).
tcf(c_252818,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_250324]) ).
tcf(c_252826,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_250324]) ).
tcf(c_252827,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_250324]) ).
tcf(c_252828,plain,
( defined(b,codomain(a))
| ~ defined(c,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_250324]) ).
tcf(c_252829,plain,
( defined(b,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_250324]) ).
tcf(c_252833,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_250324]) ).
tcf(c_252850,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252833,c_85]) ).
tcf(c_252853,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252827,c_85]) ).
tcf(c_252857,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252826,c_85]) ).
tcf(c_252981,plain,
defined(domain(codomain(codomain(h))),h),
inference(superposition,[status(thm)],[c_85,c_251612]) ).
tcf(c_252982,plain,
! [X0: $i] :
( defined(domain(domain(X0)),h)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_251612]) ).
tcf(c_252984,plain,
! [X0: $i] :
( defined(domain(codomain(X0)),h)
| ~ identity_map(X0)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_251612]) ).
tcf(c_252985,plain,
( defined(domain(domain(c)),h)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_251612]) ).
tcf(c_252986,plain,
( defined(domain(codomain(d)),h)
| ~ identity_map(g)
| ~ defined(g,codomain(h)) ),
inference(superposition,[status(thm)],[c_234478,c_251612]) ).
tcf(c_252987,plain,
( defined(domain(codomain(d)),h)
| ~ identity_map(h)
| ~ defined(h,codomain(h)) ),
inference(superposition,[status(thm)],[c_234469,c_251612]) ).
tcf(c_252988,plain,
( defined(domain(b),h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_234745,c_251612]) ).
tcf(c_252989,plain,
( defined(domain(b),h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_234510,c_251612]) ).
tcf(c_252991,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_235638,c_251612]) ).
tcf(c_252992,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_235637,c_251612]) ).
tcf(c_252993,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_235634,c_251612]) ).
tcf(c_252994,plain,
( defined(domain(h),h)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_236959,c_251612]) ).
tcf(c_252995,plain,
( defined(domain(b),h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244912,c_251612]) ).
tcf(c_252996,plain,
( defined(domain(b),h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236171,c_251612]) ).
tcf(c_252997,plain,
( defined(domain(b),h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235264,c_251612]) ).
tcf(c_252998,plain,
( defined(domain(g),h)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_237028,c_251612]) ).
tcf(c_253001,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236783,c_251612]) ).
tcf(c_253002,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236264,c_251612]) ).
tcf(c_253003,plain,
( defined(domain(a),h)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235653,c_251612]) ).
tcf(c_253004,plain,
defined(domain(codomain(h)),h),
inference(superposition,[status(thm)],[c_236053,c_251612]) ).
tcf(c_253007,plain,
( defined(domain(g),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237034,c_251612]) ).
tcf(c_253008,plain,
( defined(domain(h),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_236965,c_251612]) ).
tcf(c_253010,plain,
( defined(domain(d),h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_244553,c_251612]) ).
tcf(c_253011,plain,
( defined(domain(d),h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_244564,c_251612]) ).
tcf(c_253012,plain,
( defined(domain(d),h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244932,c_251612]) ).
tcf(c_253139,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_252995,c_81]) ).
tcf(c_253142,plain,
( defined(domain(b),g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_252995,c_246376]) ).
tcf(c_253143,plain,
( defined(domain(b),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_252995,c_246274]) ).
tcf(c_253159,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_253012,c_81]) ).
tcf(c_253162,plain,
( defined(domain(d),g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253012,c_246376]) ).
tcf(c_253163,plain,
( defined(domain(d),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253012,c_246274]) ).
tcf(c_253187,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253142,c_81]) ).
tcf(c_253227,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253143,c_81]) ).
tcf(c_253230,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253143,c_239226]) ).
tcf(c_253231,plain,
( defined(domain(b),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253143,c_239225]) ).
tcf(c_253232,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253143,c_239218]) ).
tcf(c_253233,plain,
( defined(domain(b),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253143,c_239217]) ).
tcf(c_253281,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(g)
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253162,c_81]) ).
tcf(c_253297,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253163,c_81]) ).
tcf(c_253300,plain,
( defined(domain(d),c)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253163,c_239226]) ).
tcf(c_253301,plain,
( defined(domain(d),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253163,c_239225]) ).
tcf(c_253302,plain,
( defined(domain(d),a)
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_253163,c_239218]) ).
tcf(c_253303,plain,
( defined(domain(d),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253163,c_239217]) ).
tcf(c_253342,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(d,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_252988,c_81]) ).
tcf(c_253345,plain,
( defined(domain(b),g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_252988,c_246376]) ).
tcf(c_253346,plain,
( defined(domain(b),d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_252988,c_246274]) ).
tcf(c_253362,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_252989,c_81]) ).
tcf(c_253365,plain,
( defined(domain(b),g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_252989,c_246376]) ).
tcf(c_253366,plain,
( defined(domain(b),d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_252989,c_246274]) ).
tcf(c_253382,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_252996,c_81]) ).
tcf(c_253385,plain,
( defined(domain(b),g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_252996,c_246376]) ).
tcf(c_253386,plain,
( defined(domain(b),d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_252996,c_246274]) ).
tcf(c_253404,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),compose(c,X0),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_237506]) ).
tcf(c_253405,plain,
! [X0: $i] :
( product(compose(codomain(d),g),c,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_237506]) ).
tcf(c_253407,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),c,X1)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237506]) ).
tcf(c_253408,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),compose(X0,d),X1)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_237506]) ).
tcf(c_253500,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_253227,c_96817]) ).
tcf(c_253506,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_253500,c_81]) ).
tcf(c_253509,plain,
( defined(domain(b),a)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_253500,c_234315]) ).
tcf(c_253510,plain,
( defined(domain(b),c)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_253500,c_243756]) ).
tcf(c_253511,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(domain(b))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_253500,c_236933]) ).
tcf(c_253512,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_253500,c_239226]) ).
tcf(c_253513,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_253500,c_239225]) ).
tcf(c_253514,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_253500,c_239218]) ).
tcf(c_253515,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_253500,c_239217]) ).
tcf(c_253516,plain,
( defined(domain(b),g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_253500,c_234317]) ).
tcf(c_253520,plain,
( ( domain(b) = codomain(b) )
| ~ identity_map(domain(b))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_253500,c_237196]) ).
tcf(c_253530,plain,
( defined(domain(domain(b)),h)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_251612]) ).
tcf(c_253531,plain,
( defined(domain(b),h)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_251604]) ).
tcf(c_253556,plain,
( ( domain(b) = codomain(b) )
| ~ defined(d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253520,c_82]) ).
tcf(c_253559,plain,
( ( domain(b) = codomain(a) )
| ~ defined(d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253511,c_82]) ).
tcf(c_253579,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_253297,c_80398]) ).
tcf(c_253587,plain,
( defined(c,domain(codomain(d)))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_84,c_250336]) ).
tcf(c_253589,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250336]) ).
tcf(c_253593,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_250336]) ).
tcf(c_253598,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_250336]) ).
tcf(c_253601,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_250336]) ).
tcf(c_253602,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_250336]) ).
tcf(c_253603,plain,
( defined(c,codomain(a))
| ~ defined(d,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_250336]) ).
tcf(c_253604,plain,
( defined(c,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_250336]) ).
tcf(c_253608,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_250336]) ).
tcf(c_253629,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253608,c_85]) ).
tcf(c_253632,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253602,c_85]) ).
tcf(c_253636,plain,
( defined(c,codomain(a))
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253601,c_85]) ).
tcf(c_253678,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_252997,c_81]) ).
tcf(c_253682,plain,
( defined(domain(b),d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_252997,c_246274]) ).
tcf(c_253696,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(c,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_253010,c_81]) ).
tcf(c_253699,plain,
( defined(domain(d),g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253010,c_246376]) ).
tcf(c_253700,plain,
( defined(domain(d),d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253010,c_246274]) ).
tcf(c_253702,plain,
( defined(c,codomain(h))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253010,c_234754]) ).
tcf(c_253830,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_253011,c_81]) ).
tcf(c_253833,plain,
( defined(domain(d),g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253011,c_246376]) ).
tcf(c_253834,plain,
( defined(domain(d),d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253011,c_246274]) ).
tcf(c_253838,plain,
( defined(c,h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253011,c_234363]) ).
tcf(c_253845,plain,
( defined(c,codomain(d))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253011,c_249857]) ).
tcf(c_253862,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253345,c_81]) ).
tcf(c_253874,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253346,c_81]) ).
tcf(c_253877,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_253346,c_239226]) ).
tcf(c_253878,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_253346,c_239225]) ).
tcf(c_253879,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_253346,c_239218]) ).
tcf(c_253880,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_253346,c_239217]) ).
tcf(c_253908,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253365,c_81]) ).
tcf(c_253920,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253366,c_81]) ).
tcf(c_253923,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253366,c_239226]) ).
tcf(c_253924,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253366,c_239225]) ).
tcf(c_253925,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253366,c_239218]) ).
tcf(c_253926,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253366,c_239217]) ).
tcf(c_253967,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253385,c_81]) ).
tcf(c_253979,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253386,c_81]) ).
tcf(c_253982,plain,
( defined(domain(b),c)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253386,c_239226]) ).
tcf(c_253983,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253386,c_239225]) ).
tcf(c_253984,plain,
( defined(domain(b),a)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253386,c_239218]) ).
tcf(c_253985,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253386,c_239217]) ).
tcf(c_253992,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253386,c_235781]) ).
tcf(c_254125,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(a)
| ~ defined(d,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_253509,c_81]) ).
tcf(c_254128,plain,
( defined(domain(b),c)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_253509,c_243756]) ).
tcf(c_254129,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(domain(b))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_253509,c_236933]) ).
tcf(c_254133,plain,
( ( domain(b) = codomain(a) )
| ~ defined(d,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254129,c_82]) ).
tcf(c_254147,plain,
( defined(domain(b),a)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_253510,c_234315]) ).
tcf(c_254159,plain,
! [X0: $i] :
( defined(compose(X0,compose(codomain(d),g)),c)
| ~ defined(X0,d)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_73,c_237507]) ).
tcf(c_254162,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_89,c_237507]) ).
tcf(c_254176,plain,
( defined(b,domain(codomain(d)))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_84,c_250355]) ).
tcf(c_254178,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250355]) ).
tcf(c_254182,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_250355]) ).
tcf(c_254187,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,h)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_250355]) ).
tcf(c_254190,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241275,c_250355]) ).
tcf(c_254191,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_241205,c_250355]) ).
tcf(c_254192,plain,
( defined(b,codomain(a))
| ~ defined(d,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_236324,c_250355]) ).
tcf(c_254193,plain,
( defined(b,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_250355]) ).
tcf(c_254197,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_250355]) ).
tcf(c_254218,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254197,c_85]) ).
tcf(c_254221,plain,
( defined(b,codomain(a))
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254191,c_85]) ).
tcf(c_254225,plain,
( defined(b,codomain(a))
| ~ identity_map(g)
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254190,c_85]) ).
tcf(c_254236,plain,
( defined(b,domain(codomain(g)))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_84,c_250368]) ).
tcf(c_254238,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250368]) ).
tcf(c_254240,plain,
( defined(b,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237761,c_250368]) ).
tcf(c_254241,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237759,c_250368]) ).
tcf(c_254243,plain,
( defined(b,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237760,c_250368]) ).
tcf(c_254246,plain,
( defined(b,codomain(a))
| ~ defined(d,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_250368]) ).
tcf(c_254247,plain,
( defined(b,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_250368]) ).
tcf(c_254296,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(g)
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253516,c_81]) ).
tcf(c_254329,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(g)
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253699,c_81]) ).
tcf(c_254335,plain,
( defined(c,g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253699,c_234363]) ).
tcf(c_254347,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253700,c_81]) ).
tcf(c_254350,plain,
( defined(domain(d),c)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_239226]) ).
tcf(c_254351,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_239225]) ).
tcf(c_254352,plain,
( defined(domain(d),a)
| ~ identity_map(g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_239218]) ).
tcf(c_254353,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_239217]) ).
tcf(c_254359,plain,
( defined(c,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_234363]) ).
tcf(c_254475,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(g)
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_253833,c_81]) ).
tcf(c_254481,plain,
( defined(c,g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253833,c_234363]) ).
tcf(c_254493,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_253834,c_81]) ).
tcf(c_254496,plain,
( defined(domain(d),c)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_239226]) ).
tcf(c_254497,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_239225]) ).
tcf(c_254498,plain,
( defined(domain(d),a)
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_239218]) ).
tcf(c_254499,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_239217]) ).
tcf(c_254541,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),compose(c,X0))
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_237510]) ).
tcf(c_254545,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),compose(X0,d))
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_237510]) ).
tcf(c_254559,plain,
( defined(c,domain(codomain(g)))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_84,c_250444]) ).
tcf(c_254561,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250444]) ).
tcf(c_254563,plain,
( defined(c,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237761,c_250444]) ).
tcf(c_254564,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237759,c_250444]) ).
tcf(c_254566,plain,
( defined(c,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_237760,c_250444]) ).
tcf(c_254569,plain,
( defined(c,codomain(a))
| ~ defined(d,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_250444]) ).
tcf(c_254570,plain,
( defined(c,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_250444]) ).
tcf(c_254603,plain,
( defined(b,domain(codomain(g)))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_84,c_250457]) ).
tcf(c_254605,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250457]) ).
tcf(c_254607,plain,
( defined(b,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237761,c_250457]) ).
tcf(c_254608,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237759,c_250457]) ).
tcf(c_254610,plain,
( defined(b,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237760,c_250457]) ).
tcf(c_254613,plain,
( defined(b,codomain(a))
| ~ defined(c,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_236324,c_250457]) ).
tcf(c_254614,plain,
( defined(b,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_250457]) ).
tcf(c_254647,plain,
( defined(domain(c),h)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_244553,c_251615]) ).
tcf(c_254648,plain,
( defined(domain(c),h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_244564,c_251615]) ).
tcf(c_254667,plain,
domain(codomain(c)) = codomain(a),
inference(superposition,[status(thm)],[c_85,c_243657]) ).
tcf(c_254668,plain,
! [X0: $i] :
( ( domain(domain(X0)) = codomain(a) )
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234236,c_243657]) ).
tcf(c_254669,plain,
! [X0: $i] :
( ( domain(codomain(X0)) = codomain(a) )
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234347,c_243657]) ).
tcf(c_254670,plain,
domain(h) = codomain(a),
inference(superposition,[status(thm)],[c_234199,c_243657]) ).
tcf(c_254671,plain,
domain(g) = codomain(a),
inference(superposition,[status(thm)],[c_234200,c_243657]) ).
tcf(c_254672,plain,
( ( domain(domain(c)) = codomain(a) )
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244252,c_243657]) ).
tcf(c_254675,plain,
( ( domain(c) = codomain(a) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246442,c_243657]) ).
tcf(c_254676,plain,
( ( domain(c) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246441,c_243657]) ).
tcf(c_254677,plain,
( ( domain(d) = codomain(a) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246432,c_243657]) ).
tcf(c_254678,plain,
( ( domain(d) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246431,c_243657]) ).
tcf(c_254679,plain,
( ( domain(domain(c)) = codomain(a) )
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244366,c_243657]) ).
tcf(c_254680,plain,
! [X0: $i] :
( ( domain(domain(X0)) = codomain(a) )
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_243882,c_243657]) ).
tcf(c_254681,plain,
! [X0: $i] :
( ( domain(domain(X0)) = codomain(a) )
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239403,c_243657]) ).
tcf(c_254682,plain,
! [X0: $i] :
( ( domain(domain(X0)) = codomain(a) )
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239384,c_243657]) ).
tcf(c_254683,plain,
( ( domain(domain(b)) = codomain(a) )
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_253500,c_243657]) ).
tcf(c_254685,plain,
( ( domain(codomain(h)) = codomain(a) )
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_246270,c_243657]) ).
tcf(c_254687,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246438,c_243657]) ).
tcf(c_254688,plain,
( ( domain(b) = codomain(a) )
| ~ identity_map(g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246437,c_243657]) ).
tcf(c_254689,plain,
domain(compose(codomain(d),g)) = codomain(a),
inference(superposition,[status(thm)],[c_237512,c_243657]) ).
tcf(c_254690,plain,
( ( domain(codomain(d)) = codomain(a) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_238093,c_243657]) ).
tcf(c_254691,plain,
( ( domain(codomain(d)) = codomain(a) )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_237542,c_243657]) ).
tcf(c_254692,plain,
( ( domain(domain(b)) = codomain(a) )
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_253510,c_243657]) ).
tcf(c_254693,plain,
( ( domain(codomain(h)) = codomain(a) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246276,c_243657]) ).
tcf(c_254694,plain,
( ( domain(codomain(h)) = codomain(a) )
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_246275,c_243657]) ).
tcf(c_254738,plain,
! [X0: $i] :
( ( domain(X0) = domain(h) )
| ~ defined(X0,c) ),
inference(demodulation,[status(thm)],[c_243657,c_254670]) ).
tcf(c_254739,plain,
( defined(h,codomain(g))
| ~ defined(domain(h),h) ),
inference(demodulation,[status(thm)],[c_250502,c_254670]) ).
tcf(c_254740,plain,
( defined(g,codomain(g))
| ~ defined(domain(h),h) ),
inference(demodulation,[status(thm)],[c_250500,c_254670]) ).
tcf(c_254741,plain,
( defined(h,codomain(d))
| ~ defined(domain(h),h) ),
inference(demodulation,[status(thm)],[c_249869,c_254670]) ).
tcf(c_254742,plain,
( defined(g,codomain(d))
| ~ defined(domain(h),h) ),
inference(demodulation,[status(thm)],[c_249867,c_254670]) ).
tcf(c_254743,plain,
( ( domain(h) = codomain(h) )
| ~ identity_map(h) ),
inference(demodulation,[status(thm)],[c_248505,c_254670]) ).
tcf(c_254744,plain,
( ( domain(h) = codomain(h) )
| ~ identity_map(g) ),
inference(demodulation,[status(thm)],[c_248431,c_254670]) ).
tcf(c_254745,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,c)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_245466,c_254670]) ).
tcf(c_254746,plain,
( defined(d,domain(h))
| ~ defined(domain(c),c) ),
inference(demodulation,[status(thm)],[c_244439,c_254670]) ).
tcf(c_254747,plain,
( ( domain(h) = codomain(d) )
| ~ identity_map(h) ),
inference(demodulation,[status(thm)],[c_243652,c_254670]) ).
tcf(c_254748,plain,
( ( domain(h) = codomain(d) )
| ~ identity_map(g) ),
inference(demodulation,[status(thm)],[c_243649,c_254670]) ).
tcf(c_254749,plain,
( defined(d,domain(h))
| ~ defined(c,c) ),
inference(demodulation,[status(thm)],[c_244563,c_254670]) ).
tcf(c_254750,plain,
( ( domain(h) = h )
| ~ identity_map(h) ),
inference(demodulation,[status(thm)],[c_243632,c_254670]) ).
tcf(c_254751,plain,
( ( domain(h) = g )
| ~ identity_map(g) ),
inference(demodulation,[status(thm)],[c_243631,c_254670]) ).
tcf(c_254752,plain,
compose(domain(h),c) = c,
inference(demodulation,[status(thm)],[c_243715,c_254670]) ).
tcf(c_254753,plain,
product(domain(h),c,c),
inference(demodulation,[status(thm)],[c_243724,c_254670]) ).
tcf(c_254754,plain,
defined(domain(h),c),
inference(demodulation,[status(thm)],[c_243725,c_254670]) ).
tcf(c_254755,plain,
domain(h) = codomain(c),
inference(demodulation,[status(thm)],[c_243648,c_254670]) ).
tcf(c_254756,plain,
! [X0: $i] :
( ( domain(h) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(demodulation,[status(thm)],[c_236933,c_254670]) ).
tcf(c_254757,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,c)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_236771,c_254670]) ).
tcf(c_254758,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,c)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_236255,c_254670]) ).
tcf(c_254759,plain,
( defined(b,domain(h))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(demodulation,[status(thm)],[c_241282,c_254670]) ).
tcf(c_254760,plain,
( defined(c,domain(h))
| ~ identity_map(g)
| ~ defined(d,d) ),
inference(demodulation,[status(thm)],[c_241281,c_254670]) ).
tcf(c_254761,plain,
( defined(b,domain(h))
| ~ identity_map(g)
| ~ defined(c,d) ),
inference(demodulation,[status(thm)],[c_241278,c_254670]) ).
tcf(c_254762,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(g)
| ~ defined(X0,d) ),
inference(demodulation,[status(thm)],[c_241275,c_254670]) ).
tcf(c_254763,plain,
( defined(b,domain(h))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(demodulation,[status(thm)],[c_241212,c_254670]) ).
tcf(c_254764,plain,
( defined(c,domain(h))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(demodulation,[status(thm)],[c_241211,c_254670]) ).
tcf(c_254765,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,c)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_235839,c_254670]) ).
tcf(c_254766,plain,
( defined(b,domain(h))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(demodulation,[status(thm)],[c_241208,c_254670]) ).
tcf(c_254767,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(demodulation,[status(thm)],[c_241205,c_254670]) ).
tcf(c_254768,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_240419,c_254670]) ).
tcf(c_254769,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_239521,c_254670]) ).
tcf(c_254770,plain,
( defined(g,codomain(g))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_240418,c_254670]) ).
tcf(c_254771,plain,
( defined(g,codomain(h))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_240417,c_254670]) ).
tcf(c_254772,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,c)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_235431,c_254670]) ).
tcf(c_254773,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_240413,c_254670]) ).
tcf(c_254774,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_240404,c_254670]) ).
tcf(c_254775,plain,
defined(g,domain(h)),
inference(demodulation,[status(thm)],[c_240401,c_254670]) ).
tcf(c_254776,plain,
( defined(h,codomain(g))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_239520,c_254670]) ).
tcf(c_254777,plain,
( defined(h,codomain(h))
| ~ defined(domain(h),d) ),
inference(demodulation,[status(thm)],[c_239519,c_254670]) ).
tcf(c_254778,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_239515,c_254670]) ).
tcf(c_254779,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(domain(h),X0) ),
inference(demodulation,[status(thm)],[c_239495,c_254670]) ).
tcf(c_254780,plain,
defined(h,domain(h)),
inference(demodulation,[status(thm)],[c_239492,c_254670]) ).
tcf(c_254781,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(demodulation,[status(thm)],[c_236743,c_254670]) ).
tcf(c_254782,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(demodulation,[status(thm)],[c_236251,c_254670]) ).
tcf(c_254783,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(d,c) ),
inference(demodulation,[status(thm)],[c_235639,c_254670]) ).
tcf(c_254784,plain,
( defined(b,domain(h))
| ~ defined(domain(d),c) ),
inference(demodulation,[status(thm)],[c_236751,c_254670]) ).
tcf(c_254785,plain,
( defined(c,domain(h))
| ~ defined(domain(d),c) ),
inference(demodulation,[status(thm)],[c_236750,c_254670]) ).
tcf(c_254786,plain,
( defined(b,domain(h))
| ~ defined(domain(c),c) ),
inference(demodulation,[status(thm)],[c_236747,c_254670]) ).
tcf(c_254787,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(domain(X0),c) ),
inference(demodulation,[status(thm)],[c_236741,c_254670]) ).
tcf(c_254788,plain,
! [X0: $i] :
( ( domain(h) = X0 )
| ~ product(X0,a,a) ),
inference(demodulation,[status(thm)],[c_234420,c_254670]) ).
tcf(c_254789,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,c) ),
inference(demodulation,[status(thm)],[c_236324,c_254670]) ).
tcf(c_254790,plain,
( defined(b,domain(h))
| ~ defined(c,c) ),
inference(demodulation,[status(thm)],[c_236170,c_254670]) ).
tcf(c_254791,plain,
( defined(c,domain(h))
| ~ defined(d,c) ),
inference(demodulation,[status(thm)],[c_235494,c_254670]) ).
tcf(c_254792,plain,
( defined(b,domain(h))
| ~ defined(d,c) ),
inference(demodulation,[status(thm)],[c_235263,c_254670]) ).
tcf(c_254944,plain,
defined(domain(h),a),
inference(superposition,[status(thm)],[c_254754,c_234315]) ).
tcf(c_254946,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254775,c_81]) ).
tcf(c_254948,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254944,c_81]) ).
tcf(c_254955,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(domain(h),g,X0) ),
inference(superposition,[status(thm)],[c_254753,c_237395]) ).
tcf(c_254956,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),c)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(domain(h),h,X0) ),
inference(superposition,[status(thm)],[c_254753,c_237220]) ).
tcf(c_254957,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,c,X2)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_254753,c_80]) ).
tcf(c_254958,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(h),X1,X2)
| ~ product(c,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_254753,c_77]) ).
tcf(c_254959,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,c)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_254753,c_79]) ).
tcf(c_254960,plain,
! [X0: $i] :
( ( X0 = c )
| ~ product(domain(h),c,X0) ),
inference(superposition,[status(thm)],[c_254753,c_90]) ).
tcf(c_254962,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ defined(c,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_254753,c_76]) ).
tcf(c_255102,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_245443]) ).
tcf(c_255103,plain,
( defined(d,domain(h))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_254670,c_244553]) ).
tcf(c_255104,plain,
! [X0: $i] :
( ( codomain(a) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_236045]) ).
tcf(c_255106,plain,
( defined(domain(h),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_254670,c_237760]) ).
tcf(c_255109,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_235210]) ).
tcf(c_255110,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_235201]) ).
tcf(c_255111,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_235191]) ).
tcf(c_255112,plain,
( defined(h,domain(h))
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_254670,c_236959]) ).
tcf(c_255113,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_234516]) ).
tcf(c_255114,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_254670,c_235638]) ).
tcf(c_255115,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_254670,c_235637]) ).
tcf(c_255116,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_254670,c_235634]) ).
tcf(c_255118,plain,
codomain(domain(h)) = domain(h),
inference(superposition,[status(thm)],[c_254670,c_236672]) ).
tcf(c_255119,plain,
compose(domain(h),a) = a,
inference(superposition,[status(thm)],[c_254670,c_236653]) ).
tcf(c_255120,plain,
! [X0: $i] :
( ( X0 = a )
| ~ product(domain(h),a,X0) ),
inference(superposition,[status(thm)],[c_254670,c_234383]) ).
tcf(c_255121,plain,
compose(domain(h),domain(h)) = domain(h),
inference(superposition,[status(thm)],[c_254670,c_236044]) ).
tcf(c_255122,plain,
product(domain(h),domain(h),domain(h)),
inference(superposition,[status(thm)],[c_254670,c_236052]) ).
tcf(c_255123,plain,
defined(domain(h),domain(h)),
inference(superposition,[status(thm)],[c_254670,c_236053]) ).
tcf(c_255124,plain,
domain(domain(h)) = domain(h),
inference(superposition,[status(thm)],[c_254670,c_235976]) ).
tcf(c_255125,plain,
( defined(b,domain(h))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_254670,c_234745]) ).
tcf(c_255126,plain,
( defined(c,domain(h))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_254670,c_234511]) ).
tcf(c_255127,plain,
( defined(b,domain(h))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_254670,c_234510]) ).
tcf(c_255128,plain,
product(domain(h),a,a),
inference(superposition,[status(thm)],[c_254670,c_87]) ).
tcf(c_255130,plain,
identity_map(domain(h)),
inference(superposition,[status(thm)],[c_254670,c_83]) ).
tcf(c_255131,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_254670,c_234320]) ).
tcf(c_255168,plain,
! [X0: $i] :
( ( domain(h) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(light_normalisation,[status(thm)],[c_255104,c_254670]) ).
tcf(c_255360,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),a)
| ~ defined(c,X1)
| ~ product(d,X1,a)
| ~ product(domain(h),g,X0) ),
inference(superposition,[status(thm)],[c_255128,c_237395]) ).
tcf(c_255361,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),a)
| ~ defined(c,X1)
| ~ product(d,X1,a)
| ~ product(domain(h),h,X0) ),
inference(superposition,[status(thm)],[c_255128,c_237220]) ).
tcf(c_255362,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,a,X2)
| ~ product(X0,a,X2)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_255128,c_80]) ).
tcf(c_255363,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(domain(h),X1,X2)
| ~ product(a,X0,X2)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_255128,c_77]) ).
tcf(c_255364,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ defined(X0,a)
| ~ product(X0,domain(h),X1) ),
inference(superposition,[status(thm)],[c_255128,c_79]) ).
tcf(c_255367,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ defined(a,X0)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_255128,c_76]) ).
tcf(c_255390,plain,
domain(h) = domain(g),
inference(light_normalisation,[status(thm)],[c_254671,c_254670]) ).
tcf(c_255393,plain,
( defined(domain(h),g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255390,c_248568]) ).
tcf(c_255394,plain,
( defined(domain(h),d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255390,c_246617]) ).
tcf(c_255396,plain,
! [X0: $i] :
( ( domain(g) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(superposition,[status(thm)],[c_255390,c_236016]) ).
tcf(c_255406,plain,
( defined(g,g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255390,c_235614]) ).
tcf(c_255407,plain,
( defined(g,h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255390,c_235613]) ).
tcf(c_255411,plain,
compose(g,domain(h)) = g,
inference(superposition,[status(thm)],[c_255390,c_235952]) ).
tcf(c_255412,plain,
! [X0: $i] :
( ( X0 = g )
| ~ product(g,domain(h),X0) ),
inference(superposition,[status(thm)],[c_255390,c_234382]) ).
tcf(c_255414,plain,
( defined(domain(h),h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255390,c_234489]) ).
tcf(c_255415,plain,
( defined(domain(h),g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255390,c_234488]) ).
tcf(c_255418,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255390,c_234236]) ).
tcf(c_255419,plain,
product(g,domain(h),g),
inference(superposition,[status(thm)],[c_255390,c_86]) ).
tcf(c_255510,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),g)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_255419,c_237395]) ).
tcf(c_255511,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),g)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,domain(h)) ),
inference(superposition,[status(thm)],[c_255419,c_237220]) ).
tcf(c_255512,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ product(X0,g,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_255419,c_80]) ).
tcf(c_255513,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X1,X2)
| ~ product(g,X0,X2)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_255419,c_77]) ).
tcf(c_255514,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,g)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_255419,c_79]) ).
tcf(c_255517,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(g,X0)
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_255419,c_76]) ).
tcf(c_255616,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ defined(X0,d)
| ~ product(X0,g,domain(h)) ),
inference(superposition,[status(thm)],[c_237174,c_254960]) ).
tcf(c_255627,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_254948,c_81]) ).
tcf(c_255638,plain,
( defined(domain(h),g)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_254948,c_246376]) ).
tcf(c_255639,plain,
( defined(domain(h),d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_254948,c_246274]) ).
tcf(c_255640,plain,
( ( domain(h) = codomain(b) )
| ~ identity_map(a)
| ~ identity_map(domain(h))
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_254948,c_237196]) ).
tcf(c_255648,plain,
( defined(domain(domain(h)),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_254948,c_251612]) ).
tcf(c_255649,plain,
( defined(domain(h),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_254948,c_251604]) ).
tcf(c_255650,plain,
( defined(domain(h),g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_254948,c_250907]) ).
tcf(c_255651,plain,
( defined(domain(h),h)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_254948,c_244206]) ).
tcf(c_255672,plain,
( ( domain(h) = codomain(b) )
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255640,c_82,c_234198]) ).
tcf(c_255686,plain,
! [X0: $i] :
( defined(X0,domain(codomain(g)))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_84,c_250593]) ).
tcf(c_255688,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250593]) ).
tcf(c_255691,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_237759,c_250593]) ).
tcf(c_255693,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_237760,c_250593]) ).
tcf(c_255694,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_250593]) ).
tcf(c_255716,plain,
! [X0: $i] :
( ( codomain(c) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(superposition,[status(thm)],[c_254755,c_236045]) ).
tcf(c_255724,plain,
( defined(h,domain(h))
| ~ identity_map(a)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_254755,c_236959]) ).
tcf(c_255752,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(c,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254749,c_81]) ).
tcf(c_255755,plain,
( defined(c,domain(h))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_254749,c_234233]) ).
tcf(c_255767,plain,
defined(g,domain(domain(h))),
inference(superposition,[status(thm)],[c_84,c_254774]) ).
tcf(c_255768,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234236,c_254774]) ).
tcf(c_255773,plain,
( defined(g,h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_234489,c_254774]) ).
tcf(c_255774,plain,
( defined(g,g)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_248568,c_254774]) ).
tcf(c_255775,plain,
( defined(g,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_234488,c_254774]) ).
tcf(c_255779,plain,
( defined(g,d)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_246617,c_254774]) ).
tcf(c_255784,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_254774]) ).
tcf(c_255819,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234320,c_255768]) ).
tcf(c_255829,plain,
( defined(g,codomain(h))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_236325,c_255768]) ).
tcf(c_255830,plain,
( defined(g,codomain(g))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_249114,c_255768]) ).
tcf(c_255831,plain,
( defined(g,codomain(g))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_236326,c_255768]) ).
tcf(c_255835,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237509,c_255768]) ).
tcf(c_255836,plain,
( defined(g,codomain(d))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_249084,c_255768]) ).
tcf(c_255960,plain,
domain(compose(codomain(d),g)) = domain(h),
inference(light_normalisation,[status(thm)],[c_254689,c_254670]) ).
tcf(c_255961,plain,
( defined(compose(codomain(d),g),codomain(g))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_255960,c_250467]) ).
tcf(c_255962,plain,
( defined(compose(codomain(d),g),codomain(d))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_255960,c_249835]) ).
tcf(c_255963,plain,
( defined(domain(h),g)
| ~ defined(compose(codomain(d),g),h) ),
inference(superposition,[status(thm)],[c_255960,c_248568]) ).
tcf(c_255964,plain,
( defined(domain(h),d)
| ~ defined(compose(codomain(d),g),h) ),
inference(superposition,[status(thm)],[c_255960,c_246617]) ).
tcf(c_255966,plain,
! [X0: $i] :
( ( domain(compose(codomain(d),g)) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(superposition,[status(thm)],[c_255960,c_236016]) ).
tcf(c_255971,plain,
( defined(compose(codomain(d),g),codomain(g))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255960,c_236859]) ).
tcf(c_255972,plain,
( defined(compose(codomain(d),g),codomain(h))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255960,c_236781]) ).
tcf(c_255974,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),codomain(X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255960,c_234798]) ).
tcf(c_255976,plain,
( defined(compose(codomain(d),g),g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255960,c_235614]) ).
tcf(c_255977,plain,
( defined(compose(codomain(d),g),h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_255960,c_235613]) ).
tcf(c_255981,plain,
compose(compose(codomain(d),g),domain(h)) = compose(codomain(d),g),
inference(superposition,[status(thm)],[c_255960,c_235952]) ).
tcf(c_255982,plain,
! [X0: $i] :
( ( compose(codomain(d),g) = X0 )
| ~ product(compose(codomain(d),g),domain(h),X0) ),
inference(superposition,[status(thm)],[c_255960,c_234382]) ).
tcf(c_255984,plain,
( defined(domain(h),h)
| ~ defined(compose(codomain(d),g),d) ),
inference(superposition,[status(thm)],[c_255960,c_234489]) ).
tcf(c_255985,plain,
( defined(domain(h),g)
| ~ defined(compose(codomain(d),g),d) ),
inference(superposition,[status(thm)],[c_255960,c_234488]) ).
tcf(c_255987,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255960,c_234369]) ).
tcf(c_255988,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_255960,c_234236]) ).
tcf(c_255989,plain,
product(compose(codomain(d),g),domain(h),compose(codomain(d),g)),
inference(superposition,[status(thm)],[c_255960,c_86]) ).
tcf(c_255990,plain,
defined(compose(codomain(d),g),domain(h)),
inference(superposition,[status(thm)],[c_255960,c_84]) ).
tcf(c_256141,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255990,c_81]) ).
tcf(c_256144,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(d),g))
| ~ defined(c,X1)
| ~ product(d,X1,domain(h))
| ~ product(compose(codomain(d),g),g,X0) ),
inference(superposition,[status(thm)],[c_255989,c_237395]) ).
tcf(c_256145,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(d),g))
| ~ defined(c,X1)
| ~ product(d,X1,domain(h))
| ~ product(compose(codomain(d),g),h,X0) ),
inference(superposition,[status(thm)],[c_255989,c_237220]) ).
tcf(c_256146,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ product(X0,compose(codomain(d),g),X2)
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_255989,c_80]) ).
tcf(c_256147,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(codomain(d),g),X2,X1)
| ~ product(domain(h),X0,X2)
| ~ product(compose(codomain(d),g),X0,X1) ),
inference(superposition,[status(thm)],[c_255989,c_77]) ).
tcf(c_256148,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,compose(codomain(d),g))
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_255989,c_79]) ).
tcf(c_256151,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),g),X1)
| ~ product(domain(h),X0,X1)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_255989,c_76]) ).
tcf(c_256180,plain,
( defined(d,domain(codomain(g)))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_84,c_250867]) ).
tcf(c_256182,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_250867]) ).
tcf(c_256184,plain,
( defined(d,h)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237761,c_250867]) ).
tcf(c_256185,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ defined(g,c)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237759,c_250867]) ).
tcf(c_256187,plain,
( defined(d,g)
| ~ identity_map(g)
| ~ defined(g,d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_237760,c_250867]) ).
tcf(c_256188,plain,
( defined(d,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_250867]) ).
tcf(c_256223,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(h))
| ~ defined(X1,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254789,c_81]) ).
tcf(c_256224,plain,
! [X0: $i] :
( defined(X0,codomain(domain(h)))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_234798]) ).
tcf(c_256226,plain,
! [X0: $i] :
( defined(d,domain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_245443]) ).
tcf(c_256227,plain,
! [X0: $i] :
( defined(b,domain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_235210]) ).
tcf(c_256228,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_235201]) ).
tcf(c_256229,plain,
! [X0: $i] :
( defined(b,domain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_235191]) ).
tcf(c_256230,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_234516]) ).
tcf(c_256241,plain,
( defined(d,codomain(domain(h)))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_244426]) ).
tcf(c_256243,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_235792]) ).
tcf(c_256244,plain,
( defined(b,codomain(domain(h)))
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_234782]) ).
tcf(c_256246,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_235829]) ).
tcf(c_256247,plain,
( defined(c,codomain(domain(h)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_234754]) ).
tcf(c_256248,plain,
( defined(b,codomain(domain(h)))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_234526]) ).
tcf(c_256251,plain,
( defined(b,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_250355]) ).
tcf(c_256252,plain,
( defined(c,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_250336]) ).
tcf(c_256253,plain,
( defined(b,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_250324]) ).
tcf(c_256254,plain,
( defined(d,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_250308]) ).
tcf(c_256255,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_249987]) ).
tcf(c_256256,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_248990]) ).
tcf(c_256257,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_248980]) ).
tcf(c_256258,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_248968]) ).
tcf(c_256259,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_254789,c_235781]) ).
tcf(c_256260,plain,
( defined(d,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_245480]) ).
tcf(c_256261,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_244979]) ).
tcf(c_256262,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_244967]) ).
tcf(c_256263,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_244940]) ).
tcf(c_256264,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_236811]) ).
tcf(c_256265,plain,
( defined(b,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_236268]) ).
tcf(c_256266,plain,
( defined(c,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_235849]) ).
tcf(c_256267,plain,
( defined(b,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_235440]) ).
tcf(c_256268,plain,
( defined(d,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_250867]) ).
tcf(c_256269,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_250593]) ).
tcf(c_256270,plain,
( defined(b,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_250457]) ).
tcf(c_256271,plain,
( defined(c,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_250444]) ).
tcf(c_256272,plain,
( defined(b,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_250368]) ).
tcf(c_256273,plain,
( defined(d,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_245494]) ).
tcf(c_256274,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_249027]) ).
tcf(c_256275,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_249015]) ).
tcf(c_256276,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_249003]) ).
tcf(c_256277,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_236889]) ).
tcf(c_256278,plain,
( defined(b,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_236304]) ).
tcf(c_256279,plain,
( defined(c,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_235872]) ).
tcf(c_256280,plain,
( defined(b,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_235449]) ).
tcf(c_256282,plain,
( defined(h,domain(h))
| ~ identity_map(a)
| ~ defined(domain(a),c) ),
inference(superposition,[status(thm)],[c_254789,c_237017]) ).
tcf(c_256615,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(h))
| ~ defined(c,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254790,c_81]) ).
tcf(c_256730,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(h))
| ~ defined(d,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254791,c_81]) ).
tcf(c_256731,plain,
( defined(d,domain(h))
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_254791,c_244425]) ).
tcf(c_256741,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(h))
| ~ defined(d,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254792,c_81]) ).
tcf(c_256748,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(c,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255103,c_81]) ).
tcf(c_256751,plain,
( defined(c,domain(h))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_255103,c_234233]) ).
tcf(c_256759,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(h))
| ~ defined(d,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255125,c_81]) ).
tcf(c_256766,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(h))
| ~ defined(d,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255126,c_81]) ).
tcf(c_256767,plain,
( defined(d,domain(h))
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_255126,c_244425]) ).
tcf(c_256777,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(h))
| ~ defined(c,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255127,c_81]) ).
tcf(c_256784,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(h))
| ~ defined(X1,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255131,c_81]) ).
tcf(c_256785,plain,
! [X0: $i] :
( defined(X0,codomain(domain(h)))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_234798]) ).
tcf(c_256786,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_234369]) ).
tcf(c_256787,plain,
! [X0: $i] :
( defined(d,domain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_245443]) ).
tcf(c_256788,plain,
! [X0: $i] :
( defined(b,domain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_235210]) ).
tcf(c_256789,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_235201]) ).
tcf(c_256790,plain,
! [X0: $i] :
( defined(b,domain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_235191]) ).
tcf(c_256791,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_234516]) ).
tcf(c_256802,plain,
( defined(d,codomain(domain(h)))
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_244426]) ).
tcf(c_256803,plain,
( defined(d,domain(h))
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_244305]) ).
tcf(c_256804,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_235792]) ).
tcf(c_256805,plain,
( defined(b,codomain(domain(h)))
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_234782]) ).
tcf(c_256806,plain,
( defined(b,domain(h))
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_234366]) ).
tcf(c_256807,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_235829]) ).
tcf(c_256808,plain,
( defined(c,codomain(domain(h)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_234754]) ).
tcf(c_256809,plain,
( defined(b,codomain(domain(h)))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_234526]) ).
tcf(c_256810,plain,
( defined(c,domain(h))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_234363]) ).
tcf(c_256811,plain,
( defined(b,domain(h))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_234360]) ).
tcf(c_256812,plain,
( defined(b,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_250355]) ).
tcf(c_256813,plain,
( defined(c,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_250336]) ).
tcf(c_256814,plain,
( defined(b,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_250324]) ).
tcf(c_256815,plain,
( defined(d,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_250308]) ).
tcf(c_256816,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_249987]) ).
tcf(c_256817,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_248990]) ).
tcf(c_256818,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_248980]) ).
tcf(c_256819,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_248968]) ).
tcf(c_256820,plain,
( defined(a,domain(h))
| ~ identity_map(b)
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_255131,c_235781]) ).
tcf(c_256821,plain,
( defined(d,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_245480]) ).
tcf(c_256822,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_244979]) ).
tcf(c_256823,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_244967]) ).
tcf(c_256824,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_244940]) ).
tcf(c_256825,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_236811]) ).
tcf(c_256826,plain,
( defined(b,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_236268]) ).
tcf(c_256827,plain,
( defined(c,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_235849]) ).
tcf(c_256828,plain,
( defined(b,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_235440]) ).
tcf(c_256829,plain,
( defined(d,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_250867]) ).
tcf(c_256830,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_250593]) ).
tcf(c_256831,plain,
( defined(b,domain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_250457]) ).
tcf(c_256832,plain,
( defined(c,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_250444]) ).
tcf(c_256833,plain,
( defined(b,domain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_250368]) ).
tcf(c_256834,plain,
( defined(d,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_245494]) ).
tcf(c_256835,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_249027]) ).
tcf(c_256836,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_249015]) ).
tcf(c_256837,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_249003]) ).
tcf(c_256838,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_236889]) ).
tcf(c_256839,plain,
( defined(b,domain(h))
| ~ defined(c,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_236304]) ).
tcf(c_256840,plain,
( defined(c,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_235872]) ).
tcf(c_256841,plain,
( defined(b,domain(h))
| ~ defined(d,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_235449]) ).
tcf(c_256843,plain,
( defined(h,domain(h))
| ~ identity_map(a)
| ~ defined(domain(a),a) ),
inference(superposition,[status(thm)],[c_255131,c_237017]) ).
tcf(c_257269,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,X1)))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_234235]) ).
tcf(c_257270,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,codomain(X2))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_234320,c_234235]) ).
tcf(c_257271,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_236325,c_234235]) ).
tcf(c_257272,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),h) ),
inference(superposition,[status(thm)],[c_249114,c_234235]) ).
tcf(c_257273,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_236326,c_234235]) ).
tcf(c_257274,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X0,X1)
| ~ defined(domain(compose(X0,X1)),d) ),
inference(superposition,[status(thm)],[c_237655,c_234235]) ).
tcf(c_257275,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_237509,c_234235]) ).
tcf(c_257278,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),h) ),
inference(superposition,[status(thm)],[c_249084,c_234235]) ).
tcf(c_257279,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),a) ),
inference(superposition,[status(thm)],[c_255131,c_234235]) ).
tcf(c_257280,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),c) ),
inference(superposition,[status(thm)],[c_254789,c_234235]) ).
tcf(c_257282,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(a,b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234947,c_234235]) ).
tcf(c_257285,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(h,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_235137,c_234235]) ).
tcf(c_257286,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(g,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_235154,c_234235]) ).
tcf(c_257338,plain,
! [X0: $i] :
( defined(domain(X0),domain(domain(X0)))
| ~ defined(domain(X0),domain(X0)) ),
inference(superposition,[status(thm)],[c_236015,c_257269]) ).
tcf(c_257339,plain,
! [X0: $i] :
( defined(codomain(X0),domain(codomain(X0)))
| ~ defined(codomain(X0),codomain(X0)) ),
inference(superposition,[status(thm)],[c_236044,c_257269]) ).
tcf(c_257340,plain,
( defined(domain(c),domain(d))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_243916,c_257269]) ).
tcf(c_257341,plain,
( defined(d,domain(d))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_245972,c_257269]) ).
tcf(c_257342,plain,
( defined(c,domain(c))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_254752,c_257269]) ).
tcf(c_257343,plain,
( defined(a,domain(a))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_255119,c_257269]) ).
tcf(c_257344,plain,
( defined(domain(h),domain(g))
| ~ defined(g,domain(h)) ),
inference(superposition,[status(thm)],[c_255411,c_257269]) ).
tcf(c_257345,plain,
( defined(domain(h),domain(compose(codomain(d),g)))
| ~ defined(compose(codomain(d),g),domain(h)) ),
inference(superposition,[status(thm)],[c_255981,c_257269]) ).
tcf(c_257347,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_257269,c_81]) ).
tcf(c_257348,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(domain(compose(X0,domain(X1)))))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_234798]) ).
tcf(c_257349,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,domain(X1))))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_234369]) ).
tcf(c_257350,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(X0,codomain(X1))))
| ~ defined(c,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_245443]) ).
tcf(c_257351,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(compose(X0,codomain(X1))))
| ~ defined(d,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_235210]) ).
tcf(c_257352,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(X0,codomain(X1))))
| ~ defined(d,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_235201]) ).
tcf(c_257353,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(compose(X0,codomain(X1))))
| ~ defined(c,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_235191]) ).
tcf(c_257354,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_257269,c_234516]) ).
tcf(c_257355,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,c)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_257269,c_244425]) ).
tcf(c_257356,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,c)))
| ~ identity_map(b)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_257269,c_238529]) ).
tcf(c_257357,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,c)))
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_257269,c_234232]) ).
tcf(c_257358,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,b)))
| ~ identity_map(b)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_257269,c_234348]) ).
tcf(c_257359,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,d)))
| ~ identity_map(b)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_257269,c_238589]) ).
tcf(c_257360,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,d)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_257269,c_234525]) ).
tcf(c_257361,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,d)))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_257269,c_234233]) ).
tcf(c_257362,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_257269,c_234235]) ).
tcf(c_257363,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,a)))
| ~ identity_map(a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_257269,c_234456]) ).
tcf(c_257364,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,a)))
| ~ identity_map(a)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_257269,c_234446]) ).
tcf(c_257365,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,h)))
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_257269,c_255768]) ).
tcf(c_257366,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(X0,domain(c)))))
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_244426]) ).
tcf(c_257367,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(c))))
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_244305]) ).
tcf(c_257368,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,domain(c))))
| ~ identity_map(b)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_235792]) ).
tcf(c_257369,plain,
! [X0: $i] :
( defined(b,codomain(domain(compose(X0,domain(c)))))
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_234782]) ).
tcf(c_257370,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(c))))
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_234366]) ).
tcf(c_257371,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,domain(d))))
| ~ identity_map(b)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_235829]) ).
tcf(c_257372,plain,
! [X0: $i] :
( defined(c,codomain(domain(compose(X0,domain(d)))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_234754]) ).
tcf(c_257373,plain,
! [X0: $i] :
( defined(b,codomain(domain(compose(X0,domain(d)))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_234526]) ).
tcf(c_257374,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_234363]) ).
tcf(c_257375,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_234360]) ).
tcf(c_257376,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(d,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_250355]) ).
tcf(c_257377,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(d,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_250336]) ).
tcf(c_257378,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(c,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_250324]) ).
tcf(c_257379,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(c,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_250308]) ).
tcf(c_257380,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(d))))
| ~ defined(X1,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_249987]) ).
tcf(c_257381,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_248990]) ).
tcf(c_257382,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_248980]) ).
tcf(c_257383,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ identity_map(d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_248968]) ).
tcf(c_257384,plain,
! [X0: $i] :
( defined(a,domain(compose(X0,domain(b))))
| ~ identity_map(b)
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_257269,c_235781]) ).
tcf(c_257385,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(h))))
| ~ defined(c,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_245480]) ).
tcf(c_257386,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(h))))
| ~ identity_map(d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_244979]) ).
tcf(c_257387,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(h))))
| ~ identity_map(d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_244967]) ).
tcf(c_257388,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(h))))
| ~ identity_map(d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_244940]) ).
tcf(c_257389,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(h))))
| ~ defined(X1,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_236811]) ).
tcf(c_257390,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(h))))
| ~ defined(c,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_236268]) ).
tcf(c_257391,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(h))))
| ~ defined(d,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_235849]) ).
tcf(c_257392,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(h))))
| ~ defined(d,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_235440]) ).
tcf(c_257393,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(g))))
| ~ defined(c,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_250867]) ).
tcf(c_257394,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(g))))
| ~ defined(X1,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_250593]) ).
tcf(c_257395,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(g))))
| ~ defined(c,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_250457]) ).
tcf(c_257396,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(g))))
| ~ defined(d,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_250444]) ).
tcf(c_257397,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(g))))
| ~ defined(d,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_250368]) ).
tcf(c_257398,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(g))))
| ~ defined(c,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_245494]) ).
tcf(c_257399,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(g))))
| ~ identity_map(d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_249027]) ).
tcf(c_257400,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(g))))
| ~ identity_map(d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_249015]) ).
tcf(c_257401,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(g))))
| ~ identity_map(d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_249003]) ).
tcf(c_257402,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(g))))
| ~ defined(X1,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_236889]) ).
tcf(c_257403,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(g))))
| ~ defined(c,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_236304]) ).
tcf(c_257404,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(g))))
| ~ defined(d,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_235872]) ).
tcf(c_257405,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(g))))
| ~ defined(d,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_235449]) ).
tcf(c_257406,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(a))))
| ~ identity_map(a)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_257269,c_237155]) ).
tcf(c_257407,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,domain(a))))
| ~ identity_map(a)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_257269,c_237017]) ).
tcf(c_257408,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,domain(h))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_254774]) ).
tcf(c_257419,plain,
( defined(domain(h),domain(h))
| ~ defined(g,domain(h)) ),
inference(light_normalisation,[status(thm)],[c_257344,c_255390]) ).
tcf(c_257420,plain,
defined(domain(c),domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[c_257340,c_244253]) ).
tcf(c_257577,plain,
( defined(domain(h),domain(h))
| ~ defined(compose(codomain(d),g),domain(h)) ),
inference(light_normalisation,[status(thm)],[c_257345,c_255960]) ).
tcf(c_257581,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_257347,c_82]) ).
tcf(c_257959,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(domain(X0),X1))
| ~ defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_234276]) ).
tcf(c_257964,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,d))
| ~ defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,g,domain(X1)) ),
inference(superposition,[status(thm)],[c_237174,c_234276]) ).
tcf(c_257978,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_257420,c_81]) ).
tcf(c_257981,plain,
defined(d,codomain(domain(d))),
inference(superposition,[status(thm)],[c_257420,c_244426]) ).
tcf(c_257986,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257978,c_82]) ).
tcf(c_257994,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(g)
| ~ defined(g,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255393,c_81]) ).
tcf(c_257995,plain,
( defined(h,codomain(g))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255393,c_234798]) ).
tcf(c_257996,plain,
( defined(h,g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255393,c_234369]) ).
tcf(c_257997,plain,
( defined(g,g)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255393,c_254774]) ).
tcf(c_258039,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(g,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_255394,c_81]) ).
tcf(c_258040,plain,
( defined(h,codomain(d))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_234798]) ).
tcf(c_258041,plain,
( defined(h,d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_234369]) ).
tcf(c_258047,plain,
( defined(domain(h),h)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_234316]) ).
tcf(c_258049,plain,
( defined(h,codomain(h))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_236781]) ).
tcf(c_258051,plain,
( defined(h,h)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_235613]) ).
tcf(c_258052,plain,
( defined(g,d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_255394,c_254774]) ).
tcf(c_258116,plain,
( defined(g,h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_246617,c_255407]) ).
tcf(c_258129,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,codomain(d)),c,X1)
| ~ identity_map(g)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_237535]) ).
tcf(c_258130,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(g)
| ~ product(codomain(codomain(d)),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_237535]) ).
tcf(c_258131,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),c,X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_237535]) ).
tcf(c_258132,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(g)
| ~ identity_map(codomain(d))
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_237535]) ).
tcf(c_258133,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(g)
| ~ product(codomain(d),d,X0) ),
inference(superposition,[status(thm)],[c_236052,c_237535]) ).
tcf(c_258144,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(g)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258132,c_83]) ).
tcf(c_258229,plain,
defined(domain(c),domain(domain(d))),
inference(superposition,[status(thm)],[c_84,c_257986]) ).
tcf(c_258231,plain,
! [X0: $i] :
( defined(domain(c),codomain(X0))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_257986]) ).
tcf(c_258238,plain,
( defined(domain(c),d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_257986]) ).
tcf(c_258239,plain,
( defined(domain(c),d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253700,c_257986]) ).
tcf(c_258246,plain,
( defined(domain(c),codomain(h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_257986]) ).
tcf(c_258247,plain,
( defined(domain(c),codomain(g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_257986]) ).
tcf(c_258248,plain,
( defined(domain(c),codomain(g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_257986]) ).
tcf(c_258249,plain,
( defined(domain(c),compose(codomain(d),g))
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_257986]) ).
tcf(c_258250,plain,
( defined(domain(c),compose(codomain(d),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_257986]) ).
tcf(c_258251,plain,
( defined(domain(c),codomain(d))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_257986]) ).
tcf(c_258252,plain,
( defined(domain(c),domain(h))
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_257986]) ).
tcf(c_258253,plain,
( defined(domain(c),domain(h))
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_257986]) ).
tcf(c_258254,plain,
! [X0: $i] :
( defined(domain(c),domain(compose(X0,domain(d))))
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_257986]) ).
tcf(c_258258,plain,
( defined(domain(c),g)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253833,c_257986]) ).
tcf(c_258259,plain,
( defined(domain(c),g)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253699,c_257986]) ).
tcf(c_258349,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_234277,c_74,c_796]) ).
tcf(c_258357,plain,
defined(codomain(g),d),
inference(superposition,[status(thm)],[c_95,c_258349]) ).
tcf(c_258358,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(X0,X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_258349]) ).
tcf(c_258360,plain,
! [X0: $i] : defined(codomain(codomain(X0)),X0),
inference(superposition,[status(thm)],[c_87,c_258349]) ).
tcf(c_258363,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245077,c_258349]) ).
tcf(c_258364,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252415,c_258349]) ).
tcf(c_258365,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_258349]) ).
tcf(c_258366,plain,
! [X0: $i] : defined(codomain(domain(X0)),domain(X0)),
inference(superposition,[status(thm)],[c_236023,c_258349]) ).
tcf(c_258367,plain,
! [X0: $i] : defined(codomain(codomain(X0)),codomain(X0)),
inference(superposition,[status(thm)],[c_236052,c_258349]) ).
tcf(c_258368,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_258349]) ).
tcf(c_258369,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,h)),X1)
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_258349]) ).
tcf(c_258370,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X1),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_258349]) ).
tcf(c_258371,plain,
( defined(codomain(h),domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_244195,c_258349]) ).
tcf(c_258372,plain,
! [X0: $i] :
( defined(codomain(h),compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244686,c_258349]) ).
tcf(c_258373,plain,
( defined(codomain(g),domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_250895,c_258349]) ).
tcf(c_258374,plain,
( defined(codomain(h),codomain(h))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_251180,c_258349]) ).
tcf(c_258375,plain,
defined(codomain(compose(codomain(d),g)),d),
inference(superposition,[status(thm)],[c_237501,c_258349]) ).
tcf(c_258376,plain,
( defined(codomain(codomain(d)),d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_238065,c_258349]) ).
tcf(c_258377,plain,
( defined(codomain(codomain(d)),d)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_237502,c_258349]) ).
tcf(c_258378,plain,
! [X0: $i] :
( defined(codomain(g),compose(d,X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252127,c_258349]) ).
tcf(c_258380,plain,
defined(codomain(codomain(h)),d),
inference(superposition,[status(thm)],[c_246227,c_258349]) ).
tcf(c_258381,plain,
defined(codomain(domain(h)),c),
inference(superposition,[status(thm)],[c_254753,c_258349]) ).
tcf(c_258382,plain,
defined(codomain(domain(h)),a),
inference(superposition,[status(thm)],[c_255128,c_258349]) ).
tcf(c_258383,plain,
defined(codomain(g),g),
inference(superposition,[status(thm)],[c_255419,c_258349]) ).
tcf(c_258384,plain,
defined(codomain(compose(codomain(d),g)),compose(codomain(d),g)),
inference(superposition,[status(thm)],[c_255989,c_258349]) ).
tcf(c_258558,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258357,c_81]) ).
tcf(c_258559,plain,
( defined(d,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258357,c_245443]) ).
tcf(c_258560,plain,
( defined(b,d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258357,c_235210]) ).
tcf(c_258561,plain,
( defined(c,d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258357,c_235201]) ).
tcf(c_258562,plain,
( defined(b,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258357,c_235191]) ).
tcf(c_258563,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258357,c_234516]) ).
tcf(c_258564,plain,
( defined(codomain(g),c)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_258357,c_239226]) ).
tcf(c_258565,plain,
( defined(codomain(g),c)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_258357,c_239225]) ).
tcf(c_258566,plain,
( defined(codomain(g),a)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_258357,c_239218]) ).
tcf(c_258567,plain,
( defined(codomain(g),a)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_258357,c_239217]) ).
tcf(c_258569,plain,
defined(codomain(g),h),
inference(superposition,[status(thm)],[c_258357,c_234316]) ).
tcf(c_258645,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258569,c_81]) ).
tcf(c_258646,plain,
( defined(d,h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258569,c_245443]) ).
tcf(c_258647,plain,
( defined(b,h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258569,c_235210]) ).
tcf(c_258648,plain,
( defined(c,h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258569,c_235201]) ).
tcf(c_258649,plain,
( defined(b,h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258569,c_235191]) ).
tcf(c_258650,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258569,c_234516]) ).
tcf(c_258713,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(d),g)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258375,c_81]) ).
tcf(c_258714,plain,
( defined(d,d)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_245443]) ).
tcf(c_258715,plain,
( defined(b,d)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_235210]) ).
tcf(c_258716,plain,
( defined(c,d)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_235201]) ).
tcf(c_258717,plain,
( defined(b,d)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_235191]) ).
tcf(c_258718,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_234516]) ).
tcf(c_258719,plain,
( defined(codomain(compose(codomain(d),g)),c)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_258375,c_239226]) ).
tcf(c_258720,plain,
( defined(codomain(compose(codomain(d),g)),c)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_258375,c_239225]) ).
tcf(c_258721,plain,
( defined(codomain(compose(codomain(d),g)),a)
| ~ identity_map(g) ),
inference(superposition,[status(thm)],[c_258375,c_239218]) ).
tcf(c_258722,plain,
( defined(codomain(compose(codomain(d),g)),a)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_258375,c_239217]) ).
tcf(c_258723,plain,
defined(codomain(compose(codomain(d),g)),g),
inference(superposition,[status(thm)],[c_258375,c_234317]) ).
tcf(c_258724,plain,
defined(codomain(compose(codomain(d),g)),h),
inference(superposition,[status(thm)],[c_258375,c_234316]) ).
tcf(c_258809,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_234236,c_258563]) ).
tcf(c_258810,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_234347,c_258563]) ).
tcf(c_258812,plain,
( defined(domain(c),d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_244252,c_258563]) ).
tcf(c_258813,plain,
( defined(codomain(d),d)
| ~ identity_map(g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_234478,c_258563]) ).
tcf(c_258814,plain,
( defined(codomain(d),d)
| ~ identity_map(h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_234469,c_258563]) ).
tcf(c_258820,plain,
( defined(domain(b),d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_253500,c_258563]) ).
tcf(c_258825,plain,
( defined(domain(h),d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_254948,c_258563]) ).
tcf(c_258886,plain,
( defined(d,c)
| ~ identity_map(g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258564,c_245443]) ).
tcf(c_258887,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258564,c_235210]) ).
tcf(c_258888,plain,
( defined(c,c)
| ~ identity_map(g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258564,c_235201]) ).
tcf(c_258889,plain,
( defined(b,c)
| ~ identity_map(g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258564,c_235191]) ).
tcf(c_258890,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(g)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258564,c_234516]) ).
tcf(c_258925,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258565,c_245443]) ).
tcf(c_258926,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258565,c_235210]) ).
tcf(c_258927,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258565,c_235201]) ).
tcf(c_258928,plain,
( defined(b,c)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258565,c_235191]) ).
tcf(c_258929,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258565,c_234516]) ).
tcf(c_258986,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),compose(c,X0),X1)
| ~ identity_map(g)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_237536]) ).
tcf(c_258987,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(g)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_237536]) ).
tcf(c_258989,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),c,X1)
| ~ identity_map(g)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237536]) ).
tcf(c_258990,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),compose(X0,d),X1)
| ~ identity_map(g)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_237536]) ).
tcf(c_259034,plain,
! [X0: $i] :
( defined(domain(h),compose(a,X0))
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254670,c_258358]) ).
tcf(c_259035,plain,
! [X0: $i] :
( defined(domain(h),compose(c,X0))
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_254755,c_258358]) ).
tcf(c_259036,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),compose(codomain(X0),X1))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_258358]) ).
tcf(c_259037,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),compose(domain(X0),X1))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_258358]) ).
tcf(c_259038,plain,
( defined(codomain(a),c)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_234947,c_258358]) ).
tcf(c_259040,plain,
! [X0: $i] :
( defined(codomain(codomain(X0)),X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_236653,c_258358]) ).
tcf(c_259043,plain,
! [X0: $i] :
( defined(codomain(domain(X0)),domain(X0))
| ~ defined(domain(X0),domain(X0)) ),
inference(superposition,[status(thm)],[c_236015,c_258358]) ).
tcf(c_259044,plain,
! [X0: $i] :
( defined(codomain(codomain(X0)),codomain(X0))
| ~ defined(codomain(X0),codomain(X0)) ),
inference(superposition,[status(thm)],[c_236044,c_258358]) ).
tcf(c_259045,plain,
( defined(codomain(d),d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_243916,c_258358]) ).
tcf(c_259046,plain,
( defined(codomain(codomain(h)),d)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_245972,c_258358]) ).
tcf(c_259047,plain,
( defined(codomain(domain(h)),c)
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_254752,c_258358]) ).
tcf(c_259048,plain,
( defined(codomain(domain(h)),a)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_255119,c_258358]) ).
tcf(c_259049,plain,
( defined(codomain(g),g)
| ~ defined(g,domain(h)) ),
inference(superposition,[status(thm)],[c_255411,c_258358]) ).
tcf(c_259050,plain,
( defined(codomain(compose(codomain(d),g)),compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),domain(h)) ),
inference(superposition,[status(thm)],[c_255981,c_258358]) ).
tcf(c_259052,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_258358,c_81]) ).
tcf(c_259053,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(X0,X1))
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_245443]) ).
tcf(c_259054,plain,
! [X0: $i,X1: $i] :
( defined(b,compose(X0,X1))
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_235210]) ).
tcf(c_259055,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(X0,X1))
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_235201]) ).
tcf(c_259056,plain,
! [X0: $i,X1: $i] :
( defined(b,compose(X0,X1))
| ~ defined(c,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_235191]) ).
tcf(c_259057,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,compose(X0,X1))
| ~ defined(X2,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_234516]) ).
tcf(c_259058,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250355]) ).
tcf(c_259059,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(d,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250336]) ).
tcf(c_259060,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250324]) ).
tcf(c_259061,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250308]) ).
tcf(c_259062,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_258358,c_249987]) ).
tcf(c_259063,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_248990]) ).
tcf(c_259064,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_248980]) ).
tcf(c_259065,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_248968]) ).
tcf(c_259066,plain,
! [X0: $i] :
( defined(d,compose(h,X0))
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_245480]) ).
tcf(c_259067,plain,
! [X0: $i] :
( defined(d,compose(h,X0))
| ~ identity_map(d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_244979]) ).
tcf(c_259068,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ identity_map(d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_244967]) ).
tcf(c_259069,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ identity_map(d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_244940]) ).
tcf(c_259070,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(h,X1))
| ~ defined(h,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_258358,c_236811]) ).
tcf(c_259071,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(c,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_236268]) ).
tcf(c_259072,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_235849]) ).
tcf(c_259073,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(d,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_235440]) ).
tcf(c_259074,plain,
! [X0: $i] :
( defined(d,compose(g,X0))
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250867]) ).
tcf(c_259075,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(g,X1))
| ~ defined(g,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_258358,c_250593]) ).
tcf(c_259076,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ defined(c,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250457]) ).
tcf(c_259077,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250444]) ).
tcf(c_259078,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ defined(d,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_250368]) ).
tcf(c_259079,plain,
! [X0: $i] :
( defined(d,compose(g,X0))
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_245494]) ).
tcf(c_259080,plain,
! [X0: $i] :
( defined(d,compose(g,X0))
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_249027]) ).
tcf(c_259081,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_249015]) ).
tcf(c_259082,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ identity_map(d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_249003]) ).
tcf(c_259083,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(g,X1))
| ~ defined(g,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_258358,c_236889]) ).
tcf(c_259084,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ defined(c,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_236304]) ).
tcf(c_259085,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_235872]) ).
tcf(c_259086,plain,
! [X0: $i] :
( defined(b,compose(g,X0))
| ~ defined(d,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_235449]) ).
tcf(c_259087,plain,
( defined(domain(h),c)
| ~ defined(a,b) ),
inference(light_normalisation,[status(thm)],[c_259038,c_254670]) ).
tcf(c_259537,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258558,c_81]) ).
tcf(c_259539,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_235210]) ).
tcf(c_259540,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_235201]) ).
tcf(c_259541,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_235191]) ).
tcf(c_259542,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258558,c_234516]) ).
tcf(c_259543,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_258558,c_234315]) ).
tcf(c_259544,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_258558,c_243756]) ).
tcf(c_259546,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_258558,c_239225]) ).
tcf(c_259548,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_258558,c_239217]) ).
tcf(c_259549,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_258558,c_234317]) ).
tcf(c_259551,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_258558,c_246376]) ).
tcf(c_259554,plain,
( ( codomain(b) = codomain(g) )
| ~ identity_map(d)
| ~ identity_map(codomain(g))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_258558,c_237196]) ).
tcf(c_259568,plain,
( defined(domain(codomain(g)),h)
| ~ identity_map(d)
| ~ defined(d,codomain(h)) ),
inference(superposition,[status(thm)],[c_258558,c_251612]) ).
tcf(c_259570,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_258558,c_250907]) ).
tcf(c_259605,plain,
( ( codomain(b) = codomain(g) )
| ~ identity_map(d)
| ~ defined(d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259554,c_83]) ).
tcf(c_259643,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258645,c_81]) ).
tcf(c_259644,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_245443]) ).
tcf(c_259645,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_235210]) ).
tcf(c_259646,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_235201]) ).
tcf(c_259647,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(h)
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_235191]) ).
tcf(c_259648,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258645,c_234516]) ).
tcf(c_259655,plain,
( defined(codomain(g),g)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_258645,c_234317]) ).
tcf(c_259657,plain,
( defined(codomain(g),g)
| ~ identity_map(h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_258645,c_246376]) ).
tcf(c_259660,plain,
( ( codomain(b) = codomain(g) )
| ~ identity_map(h)
| ~ identity_map(codomain(g))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_258645,c_237196]) ).
tcf(c_259674,plain,
( defined(domain(codomain(g)),h)
| ~ identity_map(h)
| ~ defined(h,codomain(h)) ),
inference(superposition,[status(thm)],[c_258645,c_251612]) ).
tcf(c_259676,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,domain(c)) ),
inference(superposition,[status(thm)],[c_258645,c_250907]) ).
tcf(c_259701,plain,
( ( codomain(b) = codomain(g) )
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259660,c_83]) ).
tcf(c_259762,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,X1)),X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_234318]) ).
tcf(c_259763,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X1)
| ~ defined(X1,X2)
| ~ defined(X0,compose(X1,X2)) ),
inference(superposition,[status(thm)],[c_234236,c_234318]) ).
tcf(c_259764,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_234347,c_234318]) ).
tcf(c_259765,plain,
! [X0: $i,X1: $i] :
( defined(domain(c),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_244252,c_234318]) ).
tcf(c_259766,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X0)
| ~ identity_map(g)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_234478,c_234318]) ).
tcf(c_259767,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X0)
| ~ identity_map(h)
| ~ defined(X0,X1)
| ~ defined(h,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_234469,c_234318]) ).
tcf(c_259770,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_253500,c_234318]) ).
tcf(c_259771,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X0)
| ~ identity_map(g)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_246372,c_234318]) ).
tcf(c_259772,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_246270,c_234318]) ).
tcf(c_259773,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X0)
| ~ identity_map(h)
| ~ defined(X0,X1)
| ~ defined(h,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_258645,c_234318]) ).
tcf(c_259774,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_258558,c_234318]) ).
tcf(c_259775,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(codomain(d),g)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_237655,c_234318]) ).
tcf(c_259776,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_237509,c_234318]) ).
tcf(c_259778,plain,
( defined(b,codomain(d))
| ~ defined(codomain(d),g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237667,c_234318]) ).
tcf(c_259779,plain,
( defined(b,codomain(d))
| ~ defined(codomain(d),g)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237663,c_234318]) ).
tcf(c_259780,plain,
( defined(b,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_237658,c_234318]) ).
tcf(c_259781,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_237656,c_234318]) ).
tcf(c_259783,plain,
( defined(c,codomain(d))
| ~ defined(codomain(d),g)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237666,c_234318]) ).
tcf(c_259784,plain,
( defined(c,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_237659,c_234318]) ).
tcf(c_259785,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X0)
| ~ identity_map(a)
| ~ defined(X0,X1)
| ~ defined(a,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_254948,c_234318]) ).
tcf(c_259788,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(a,b)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234947,c_234318]) ).
tcf(c_259790,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),X0) ),
inference(superposition,[status(thm)],[c_236653,c_234318]) ).
tcf(c_259791,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(h,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_235137,c_234318]) ).
tcf(c_259792,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(g,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_235154,c_234318]) ).
tcf(c_259812,plain,
( defined(c,codomain(d))
| ~ defined(domain(d),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259783,c_234477]) ).
tcf(c_259815,plain,
( defined(b,codomain(d))
| ~ defined(domain(c),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259779,c_234477]) ).
tcf(c_259818,plain,
( defined(b,codomain(d))
| ~ defined(domain(d),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259778,c_234477]) ).
tcf(c_259821,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(domain(X0),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259775,c_234477]) ).
tcf(c_259988,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(g)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_258566,c_81]) ).
tcf(c_259989,plain,
( defined(d,a)
| ~ identity_map(g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258566,c_245443]) ).
tcf(c_259990,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258566,c_235210]) ).
tcf(c_259991,plain,
( defined(c,a)
| ~ identity_map(g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258566,c_235201]) ).
tcf(c_259992,plain,
( defined(b,a)
| ~ identity_map(g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258566,c_235191]) ).
tcf(c_259993,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(g)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258566,c_234516]) ).
tcf(c_260151,plain,
! [X0: $i] :
( ( X0 = compose(h,a) )
| ~ product(X0,b,d)
| ~ product(compose(h,a),b,d) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_260152,plain,
( ( a = compose(h,a) )
| ~ product(a,b,d)
| ~ product(compose(h,a),b,d) ),
inference(instantiation,[status(thm)],[c_260151]) ).
tcf(c_260195,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_258567,c_81]) ).
tcf(c_260196,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258567,c_245443]) ).
tcf(c_260197,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258567,c_235210]) ).
tcf(c_260198,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258567,c_235201]) ).
tcf(c_260199,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258567,c_235191]) ).
tcf(c_260200,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258567,c_234516]) ).
tcf(c_260259,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_234236,c_258650]) ).
tcf(c_260260,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_234347,c_258650]) ).
tcf(c_260262,plain,
( defined(domain(c),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_244252,c_258650]) ).
tcf(c_260270,plain,
( defined(domain(b),h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_253500,c_258650]) ).
tcf(c_260271,plain,
( defined(codomain(h),h)
| ~ identity_map(g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_246372,c_258650]) ).
tcf(c_260272,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_246270,c_258650]) ).
tcf(c_260277,plain,
( defined(domain(h),h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_254948,c_258650]) ).
tcf(c_260303,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(d),g)),X0)
| ~ identity_map(g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258723,c_81]) ).
tcf(c_260304,plain,
( defined(d,g)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_245443]) ).
tcf(c_260305,plain,
( defined(b,g)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_235210]) ).
tcf(c_260306,plain,
( defined(c,g)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_235201]) ).
tcf(c_260307,plain,
( defined(b,g)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_235191]) ).
tcf(c_260308,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_234516]) ).
tcf(c_260346,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(d),g)),X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258724,c_81]) ).
tcf(c_260347,plain,
( defined(d,h)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_245443]) ).
tcf(c_260348,plain,
( defined(b,h)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_235210]) ).
tcf(c_260349,plain,
( defined(c,h)
| ~ defined(d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_235201]) ).
tcf(c_260350,plain,
( defined(b,h)
| ~ defined(c,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_235191]) ).
tcf(c_260351,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_234516]) ).
tcf(c_260380,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(h)
| ~ defined(g,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_255414,c_81]) ).
tcf(c_260381,plain,
( defined(h,codomain(h))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_234798]) ).
tcf(c_260382,plain,
( defined(h,h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_234369]) ).
tcf(c_260384,plain,
( defined(domain(h),d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_246274]) ).
tcf(c_260385,plain,
( defined(h,codomain(g))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_250467]) ).
tcf(c_260386,plain,
( defined(h,codomain(d))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_249835]) ).
tcf(c_260387,plain,
( defined(g,h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255414,c_254774]) ).
tcf(c_260511,plain,
~ identity_map(g),
inference(global_subsumption_just,[status(thm)],[c_237537,c_95,c_94,c_93,c_96,c_391,c_885,c_1016,c_1015,c_1357,c_6081,c_33080,c_63710,c_74379,c_235226,c_260152]) ).
tcf(c_260517,plain,
( defined(codomain(c),a)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_234947,c_259762]) ).
tcf(c_260525,plain,
( defined(codomain(d),codomain(h))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_245972,c_259762]) ).
tcf(c_260526,plain,
( defined(codomain(c),domain(h))
| ~ defined(domain(h),c) ),
inference(superposition,[status(thm)],[c_254752,c_259762]) ).
tcf(c_260527,plain,
( defined(codomain(a),domain(h))
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_255119,c_259762]) ).
tcf(c_260530,plain,
( defined(codomain(d),compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),c) ),
inference(superposition,[status(thm)],[c_248949,c_259762]) ).
tcf(c_260531,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_259762,c_81]) ).
tcf(c_260532,plain,
! [X0: $i,X1: $i] :
( defined(d,X0)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_245443]) ).
tcf(c_260533,plain,
! [X0: $i,X1: $i] :
( defined(b,X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_235210]) ).
tcf(c_260534,plain,
! [X0: $i,X1: $i] :
( defined(c,X0)
| ~ defined(X0,X1)
| ~ defined(d,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_235201]) ).
tcf(c_260535,plain,
! [X0: $i,X1: $i] :
( defined(b,X0)
| ~ defined(X0,X1)
| ~ defined(c,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_235191]) ).
tcf(c_260537,plain,
! [X0: $i] :
( defined(codomain(compose(c,X0)),a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_259762,c_234315]) ).
tcf(c_260538,plain,
! [X0: $i] :
( defined(codomain(compose(a,X0)),c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_259762,c_243756]) ).
tcf(c_260539,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),c)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_259762,c_239225]) ).
tcf(c_260540,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),a)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_259762,c_239217]) ).
tcf(c_260541,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_259762,c_234317]) ).
tcf(c_260542,plain,
! [X0: $i] :
( defined(codomain(compose(d,X0)),h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_259762,c_234316]) ).
tcf(c_260543,plain,
! [X0: $i] :
( defined(codomain(compose(h,X0)),g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_259762,c_246376]) ).
tcf(c_260544,plain,
! [X0: $i] :
( defined(codomain(compose(h,X0)),d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_259762,c_246274]) ).
tcf(c_260545,plain,
! [X0: $i] :
( defined(codomain(compose(g,X0)),h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_259762,c_258650]) ).
tcf(c_260546,plain,
! [X0: $i] :
( defined(codomain(compose(g,X0)),d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_259762,c_258563]) ).
tcf(c_260547,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_259762,c_234318]) ).
tcf(c_260548,plain,
! [X0: $i] :
( ( codomain(compose(b,X0)) = codomain(b) )
| ~ defined(b,X0)
| ~ identity_map(codomain(compose(b,X0))) ),
inference(superposition,[status(thm)],[c_259762,c_237196]) ).
tcf(c_260549,plain,
! [X0: $i] :
( defined(domain(codomain(compose(codomain(h),X0))),h)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_251612]) ).
tcf(c_260550,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(h),X0)),h)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_251604]) ).
tcf(c_260551,plain,
! [X0: $i] :
( defined(codomain(compose(domain(c),X0)),g)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_259762,c_250907]) ).
tcf(c_260552,plain,
! [X0: $i] :
( defined(codomain(compose(domain(c),X0)),h)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_259762,c_244206]) ).
tcf(c_260553,plain,
( defined(domain(h),a)
| ~ defined(a,b) ),
inference(light_normalisation,[status(thm)],[c_260517,c_254755]) ).
tcf(c_260570,plain,
( defined(domain(h),domain(h))
| ~ defined(domain(h),a) ),
inference(light_normalisation,[status(thm)],[c_260527,c_254670]) ).
tcf(c_260571,plain,
( defined(domain(h),domain(h))
| ~ defined(domain(h),c) ),
inference(light_normalisation,[status(thm)],[c_260526,c_254755]) ).
tcf(c_260572,plain,
defined(codomain(d),codomain(h)),
inference(forward_subsumption_resolution,[status(thm)],[c_260525,c_246238]) ).
tcf(c_260595,plain,
defined(codomain(d),compose(codomain(d),g)),
inference(forward_subsumption_resolution,[status(thm)],[c_260530,c_237512]) ).
tcf(c_260606,plain,
! [X0: $i] :
( ( codomain(compose(b,X0)) = codomain(b) )
| ~ defined(b,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260548,c_83]) ).
tcf(c_260614,plain,
! [X0: $i] :
( defined(h,compose(c,X0))
| ~ defined(d,X0) ),
inference(global_subsumption_just,[status(thm)],[c_234545,c_21472]) ).
tcf(c_260621,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,X0)
| ~ identity_map(compose(c,X0))
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_260614,c_81]) ).
tcf(c_260623,plain,
! [X0: $i] :
( defined(g,compose(c,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260614,c_255768]) ).
tcf(c_260630,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ product(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_234599,c_74,c_1158]) ).
tcf(c_260636,plain,
defined(c,domain(b)),
inference(superposition,[status(thm)],[c_93,c_260630]) ).
tcf(c_260639,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,X1),domain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_260630]) ).
tcf(c_260642,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X1))
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_260630]) ).
tcf(c_260643,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(X1))
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_260630]) ).
tcf(c_260644,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245077,c_260630]) ).
tcf(c_260647,plain,
! [X0: $i] : defined(domain(X0),domain(domain(X0))),
inference(superposition,[status(thm)],[c_236023,c_260630]) ).
tcf(c_260648,plain,
! [X0: $i] : defined(codomain(X0),domain(codomain(X0))),
inference(superposition,[status(thm)],[c_236052,c_260630]) ).
tcf(c_260649,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(c,X0)))
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_260630]) ).
tcf(c_260650,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(c))
| ~ defined(X0,h)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_260630]) ).
tcf(c_260651,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,d),domain(c))
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_260630]) ).
tcf(c_260654,plain,
( defined(domain(c),domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_250895,c_260630]) ).
tcf(c_260658,plain,
! [X0: $i] :
( defined(compose(d,X0),domain(c))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252127,c_260630]) ).
tcf(c_260662,plain,
defined(a,domain(a)),
inference(superposition,[status(thm)],[c_255128,c_260630]) ).
tcf(c_260664,plain,
defined(compose(codomain(d),g),domain(domain(h))),
inference(superposition,[status(thm)],[c_255989,c_260630]) ).
tcf(c_260689,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260636,c_81]) ).
tcf(c_260690,plain,
defined(d,domain(b)),
inference(superposition,[status(thm)],[c_260636,c_244425]) ).
tcf(c_260692,plain,
defined(b,domain(b)),
inference(superposition,[status(thm)],[c_260636,c_234232]) ).
tcf(c_260693,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260689,c_82]) ).
tcf(c_260696,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(b))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260690,c_81]) ).
tcf(c_260700,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(domain(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260696,c_82]) ).
tcf(c_260703,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260572,c_81]) ).
tcf(c_260717,plain,
defined(domain(codomain(d)),h),
inference(superposition,[status(thm)],[c_260572,c_251612]) ).
tcf(c_260719,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260703,c_83]) ).
tcf(c_260723,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_260595,c_81]) ).
tcf(c_260729,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_260595,c_234318]) ).
tcf(c_260747,plain,
( defined(h,g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255415,c_234369]) ).
tcf(c_260750,plain,
( defined(g,g)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_255415,c_254774]) ).
tcf(c_260763,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_255418,c_81]) ).
tcf(c_260764,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_234798]) ).
tcf(c_260765,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_234369]) ).
tcf(c_260774,plain,
( defined(domain(h),h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_255418,c_258650]) ).
tcf(c_260775,plain,
( defined(domain(h),d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_255418,c_258563]) ).
tcf(c_260776,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X0)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_255418,c_234318]) ).
tcf(c_260777,plain,
( ( domain(h) = codomain(b) )
| ~ identity_map(domain(h))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_255418,c_237196]) ).
tcf(c_260785,plain,
( defined(domain(domain(h)),h)
| ~ defined(g,codomain(h)) ),
inference(superposition,[status(thm)],[c_255418,c_251612]) ).
tcf(c_260786,plain,
( defined(domain(h),h)
| ~ defined(g,codomain(h)) ),
inference(superposition,[status(thm)],[c_255418,c_251604]) ).
tcf(c_260787,plain,
( defined(domain(h),g)
| ~ identity_map(d)
| ~ defined(g,domain(c)) ),
inference(superposition,[status(thm)],[c_255418,c_250907]) ).
tcf(c_260788,plain,
( defined(domain(h),h)
| ~ identity_map(d)
| ~ defined(g,domain(c)) ),
inference(superposition,[status(thm)],[c_255418,c_244206]) ).
tcf(c_260810,plain,
( ( domain(h) = codomain(b) )
| ~ defined(g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260777,c_82]) ).
tcf(c_260846,plain,
defined(h,domain(g)),
inference(superposition,[status(thm)],[c_84,c_260765]) ).
tcf(c_260862,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(domain(g),d) ),
inference(superposition,[status(thm)],[c_237655,c_260765]) ).
tcf(c_260863,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_237509,c_260765]) ).
tcf(c_260865,plain,
( defined(h,domain(h))
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_255131,c_260765]) ).
tcf(c_260866,plain,
( defined(h,domain(h))
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_254789,c_260765]) ).
tcf(c_260868,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,g)))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_257269,c_260765]) ).
tcf(c_260881,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_255819]) ).
tcf(c_260882,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ defined(h,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_255819]) ).
tcf(c_260883,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(codomain(X0))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_255819,c_81]) ).
tcf(c_260884,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_255819,c_260765]) ).
tcf(c_260885,plain,
( defined(domain(g),h)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_255819,c_251612]) ).
tcf(c_260887,plain,
( defined(domain(h),h)
| ~ defined(h,h) ),
inference(light_normalisation,[status(thm)],[c_260885,c_255390]) ).
tcf(c_260896,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260883,c_83]) ).
tcf(c_260926,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(h))
| ~ defined(h,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_255829,c_81]) ).
tcf(c_260927,plain,
( defined(h,codomain(h))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_255829,c_260765]) ).
tcf(c_260928,plain,
( defined(domain(g),h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_255829,c_251612]) ).
tcf(c_260930,plain,
( defined(domain(h),h)
| ~ defined(h,d) ),
inference(light_normalisation,[status(thm)],[c_260928,c_255390]) ).
tcf(c_260935,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260926,c_83]) ).
tcf(c_260954,plain,
defined(c,domain(domain(b))),
inference(superposition,[status(thm)],[c_84,c_260693]) ).
tcf(c_260955,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234236,c_260693]) ).
tcf(c_260956,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_234320,c_260693]) ).
tcf(c_260957,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239326,c_260693]) ).
tcf(c_260958,plain,
( defined(c,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_260693]) ).
tcf(c_260959,plain,
( defined(c,h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234489,c_260693]) ).
tcf(c_260960,plain,
( defined(c,g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_248568,c_260693]) ).
tcf(c_260961,plain,
( defined(c,g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234488,c_260693]) ).
tcf(c_260962,plain,
( defined(c,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_260693]) ).
tcf(c_260963,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239384,c_260693]) ).
tcf(c_260964,plain,
( defined(c,d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246617,c_260693]) ).
tcf(c_260968,plain,
( defined(c,codomain(h))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236325,c_260693]) ).
tcf(c_260969,plain,
( defined(c,codomain(g))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249114,c_260693]) ).
tcf(c_260970,plain,
( defined(c,codomain(g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236326,c_260693]) ).
tcf(c_260971,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(domain(b)),d) ),
inference(superposition,[status(thm)],[c_237655,c_260693]) ).
tcf(c_260972,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_237509,c_260693]) ).
tcf(c_260973,plain,
( defined(c,codomain(d))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249084,c_260693]) ).
tcf(c_260979,plain,
( defined(c,domain(h))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_255131,c_260693]) ).
tcf(c_260980,plain,
( defined(c,domain(h))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_254789,c_260693]) ).
tcf(c_260981,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(b))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_257269,c_260693]) ).
tcf(c_261116,plain,
defined(d,domain(domain(b))),
inference(superposition,[status(thm)],[c_84,c_260700]) ).
tcf(c_261117,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234236,c_260700]) ).
tcf(c_261118,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_234320,c_260700]) ).
tcf(c_261119,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239326,c_260700]) ).
tcf(c_261120,plain,
( defined(d,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_260700]) ).
tcf(c_261121,plain,
( defined(d,h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234489,c_260700]) ).
tcf(c_261122,plain,
( defined(d,g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_248568,c_260700]) ).
tcf(c_261123,plain,
( defined(d,g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_234488,c_260700]) ).
tcf(c_261124,plain,
( defined(d,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_260700]) ).
tcf(c_261125,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239384,c_260700]) ).
tcf(c_261126,plain,
( defined(d,d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246617,c_260700]) ).
tcf(c_261130,plain,
( defined(d,codomain(h))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236325,c_260700]) ).
tcf(c_261131,plain,
( defined(d,codomain(g))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249114,c_260700]) ).
tcf(c_261132,plain,
( defined(d,codomain(g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236326,c_260700]) ).
tcf(c_261133,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(domain(b)),d) ),
inference(superposition,[status(thm)],[c_237655,c_260700]) ).
tcf(c_261134,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_237509,c_260700]) ).
tcf(c_261135,plain,
( defined(d,codomain(d))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249084,c_260700]) ).
tcf(c_261141,plain,
( defined(d,domain(h))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_255131,c_260700]) ).
tcf(c_261142,plain,
( defined(d,domain(h))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_254789,c_260700]) ).
tcf(c_261143,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(b))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_257269,c_260700]) ).
tcf(c_261281,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234320,c_260955]) ).
tcf(c_261297,plain,
( defined(c,codomain(h))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236325,c_260955]) ).
tcf(c_261298,plain,
( defined(c,codomain(g))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249114,c_260955]) ).
tcf(c_261299,plain,
( defined(c,codomain(g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236326,c_260955]) ).
tcf(c_261303,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237509,c_260955]) ).
tcf(c_261304,plain,
( defined(c,codomain(d))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249084,c_260955]) ).
tcf(c_261307,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237663,c_260955]) ).
tcf(c_261309,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_237656,c_260955]) ).
tcf(c_261310,plain,
( defined(c,domain(h))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255131,c_260955]) ).
tcf(c_261311,plain,
( defined(c,domain(h))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_254789,c_260955]) ).
tcf(c_261316,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,b)))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_257269,c_260955]) ).
tcf(c_261377,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234320,c_261117]) ).
tcf(c_261393,plain,
( defined(d,codomain(h))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236325,c_261117]) ).
tcf(c_261394,plain,
( defined(d,codomain(g))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249114,c_261117]) ).
tcf(c_261395,plain,
( defined(d,codomain(g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_236326,c_261117]) ).
tcf(c_261399,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237509,c_261117]) ).
tcf(c_261400,plain,
( defined(d,codomain(d))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_249084,c_261117]) ).
tcf(c_261406,plain,
( defined(d,domain(h))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255131,c_261117]) ).
tcf(c_261407,plain,
( defined(d,domain(h))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_254789,c_261117]) ).
tcf(c_261412,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,b)))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_257269,c_261117]) ).
tcf(c_261489,plain,
defined(codomain(d),domain(codomain(h))),
inference(superposition,[status(thm)],[c_84,c_260719]) ).
tcf(c_261491,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_260719]) ).
tcf(c_261495,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_260719]) ).
tcf(c_261502,plain,
( defined(codomain(d),codomain(g))
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_260719]) ).
tcf(c_261505,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_260719]) ).
tcf(c_261506,plain,
( defined(codomain(d),domain(h))
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_260719]) ).
tcf(c_261507,plain,
( defined(codomain(d),domain(h))
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_260719]) ).
tcf(c_261509,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,codomain(h))))
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_260719]) ).
tcf(c_261510,plain,
! [X0: $i] :
( defined(codomain(d),compose(h,X0))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_260719]) ).
tcf(c_261518,plain,
defined(codomain(d),codomain(g)),
inference(forward_subsumption_resolution,[status(thm)],[c_261502,c_246238]) ).
tcf(c_261589,plain,
! [X0: $i] :
( defined(X0,domain(domain(X0)))
| ~ defined(X0,domain(X0)) ),
inference(superposition,[status(thm)],[c_235952,c_260639]) ).
tcf(c_261595,plain,
( defined(d,domain(domain(c)))
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_243916,c_260639]) ).
tcf(c_261599,plain,
( defined(g,domain(domain(h)))
| ~ defined(g,domain(h)) ),
inference(superposition,[status(thm)],[c_255411,c_260639]) ).
tcf(c_261602,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,domain(X1)),domain(X1))
| ~ defined(X0,domain(X1)) ),
inference(superposition,[status(thm)],[c_235975,c_260639]) ).
tcf(c_261603,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(X1)),codomain(X1))
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_235976,c_260639]) ).
tcf(c_261604,plain,
! [X0: $i] :
( defined(compose(X0,g),domain(h))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_255390,c_260639]) ).
tcf(c_261605,plain,
! [X0: $i] :
( defined(compose(X0,compose(codomain(d),g)),domain(h))
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_255960,c_260639]) ).
tcf(c_261606,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_260639,c_81]) ).
tcf(c_261607,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X1))
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_260639,c_234235]) ).
tcf(c_261608,plain,
! [X0: $i] :
( defined(compose(X0,c),g)
| ~ identity_map(d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_260639,c_250907]) ).
tcf(c_261609,plain,
! [X0: $i] :
( defined(compose(X0,c),h)
| ~ identity_map(d)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_260639,c_244206]) ).
tcf(c_261627,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_261606,c_82]) ).
tcf(c_261699,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(compose(codomain(d),g))
| ~ defined(X0,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_255960,c_260643]) ).
tcf(c_261700,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_260643,c_81]) ).
tcf(c_261701,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(domain(X1)))
| ~ identity_map(X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_234798]) ).
tcf(c_261702,plain,
! [X0: $i,X1: $i] :
( defined(X0,domain(X1))
| ~ identity_map(X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_234369]) ).
tcf(c_261703,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(X1))
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_245443]) ).
tcf(c_261704,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(X1))
| ~ identity_map(X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_235210]) ).
tcf(c_261705,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(X1))
| ~ identity_map(X1)
| ~ defined(d,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_235201]) ).
tcf(c_261706,plain,
! [X0: $i,X1: $i] :
( defined(b,domain(X1))
| ~ identity_map(X1)
| ~ defined(c,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_235191]) ).
tcf(c_261707,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_260643,c_234516]) ).
tcf(c_261708,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_260643,c_244425]) ).
tcf(c_261709,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_260643,c_238529]) ).
tcf(c_261710,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234232]) ).
tcf(c_261711,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_260643,c_261117]) ).
tcf(c_261712,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_260643,c_260955]) ).
tcf(c_261713,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234348]) ).
tcf(c_261714,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260643,c_238589]) ).
tcf(c_261715,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234525]) ).
tcf(c_261716,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234233]) ).
tcf(c_261717,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_260643,c_234235]) ).
tcf(c_261718,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234456]) ).
tcf(c_261719,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_260643,c_234446]) ).
tcf(c_261720,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260643,c_255768]) ).
tcf(c_261721,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_260643,c_260765]) ).
tcf(c_261722,plain,
! [X0: $i] :
( defined(d,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_244426]) ).
tcf(c_261723,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_244305]) ).
tcf(c_261724,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235792]) ).
tcf(c_261725,plain,
! [X0: $i] :
( defined(b,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234782]) ).
tcf(c_261726,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234366]) ).
tcf(c_261727,plain,
! [X0: $i] :
( defined(domain(c),domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_257986]) ).
tcf(c_261728,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235829]) ).
tcf(c_261729,plain,
! [X0: $i] :
( defined(c,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234754]) ).
tcf(c_261730,plain,
! [X0: $i] :
( defined(b,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234526]) ).
tcf(c_261731,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234363]) ).
tcf(c_261732,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_234360]) ).
tcf(c_261733,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250355]) ).
tcf(c_261734,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250336]) ).
tcf(c_261735,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250324]) ).
tcf(c_261736,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250308]) ).
tcf(c_261737,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_249987]) ).
tcf(c_261738,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_248990]) ).
tcf(c_261739,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_248980]) ).
tcf(c_261740,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_248968]) ).
tcf(c_261741,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260643,c_260700]) ).
tcf(c_261742,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260643,c_260693]) ).
tcf(c_261743,plain,
! [X0: $i] :
( defined(a,domain(X0))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235781]) ).
tcf(c_261744,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_260719]) ).
tcf(c_261745,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_245480]) ).
tcf(c_261746,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_244979]) ).
tcf(c_261747,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_244967]) ).
tcf(c_261748,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_244940]) ).
tcf(c_261749,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_236811]) ).
tcf(c_261750,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_236268]) ).
tcf(c_261751,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235849]) ).
tcf(c_261752,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235440]) ).
tcf(c_261753,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250867]) ).
tcf(c_261754,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250593]) ).
tcf(c_261755,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250457]) ).
tcf(c_261756,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250444]) ).
tcf(c_261757,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_250368]) ).
tcf(c_261758,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_245494]) ).
tcf(c_261759,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_249027]) ).
tcf(c_261760,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_249015]) ).
tcf(c_261761,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_249003]) ).
tcf(c_261762,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_236889]) ).
tcf(c_261763,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_236304]) ).
tcf(c_261764,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235872]) ).
tcf(c_261765,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_235449]) ).
tcf(c_261766,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_260643,c_237155]) ).
tcf(c_261767,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_260643,c_237017]) ).
tcf(c_261770,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_254774]) ).
tcf(c_262015,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_261700,c_82]) ).
tcf(c_262535,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_261518,c_81]) ).
tcf(c_262549,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262535,c_83]) ).
tcf(c_262566,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(g))
| ~ defined(h,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_255830,c_81]) ).
tcf(c_262567,plain,
( defined(h,codomain(g))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_255830,c_260765]) ).
tcf(c_262570,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262566,c_83]) ).
tcf(c_262578,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(g))
| ~ defined(h,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_255831,c_81]) ).
tcf(c_262579,plain,
( defined(h,codomain(g))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_255831,c_260765]) ).
tcf(c_262582,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262578,c_83]) ).
tcf(c_262623,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_255836,c_81]) ).
tcf(c_262624,plain,
( defined(h,codomain(d))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_255836,c_260765]) ).
tcf(c_262627,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262623,c_83]) ).
tcf(c_262635,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(g))
| ~ defined(g,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_257995,c_81]) ).
tcf(c_262636,plain,
( defined(g,codomain(g))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_257995,c_255768]) ).
tcf(c_262639,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262635,c_83]) ).
tcf(c_262647,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_258040,c_81]) ).
tcf(c_262648,plain,
( defined(g,codomain(d))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_258040,c_255768]) ).
tcf(c_262651,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262647,c_83]) ).
tcf(c_262665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,compose(X1,h)),c,X3)
| ~ defined(X1,h)
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_73,c_237605]) ).
tcf(c_262666,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),c,X2)
| ~ defined(X0,h)
| ~ product(X0,d,X1)
| ~ product(codomain(compose(X0,h)),X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_237605]) ).
tcf(c_262667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X1,h),c,X3)
| ~ identity_map(X0)
| ~ defined(X1,h)
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_88,c_237605]) ).
tcf(c_262668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,c,X3)
| ~ defined(X1,h)
| ~ identity_map(compose(X1,h))
| ~ product(X1,d,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_89,c_237605]) ).
tcf(c_262669,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ defined(c,h)
| ~ product(d,h,X2)
| ~ product(c,d,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_237605]) ).
tcf(c_262670,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ defined(c,h)
| ~ product(d,h,X2)
| ~ product(c,d,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_237605]) ).
tcf(c_262671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ defined(codomain(h),h)
| ~ product(X1,h,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_236653,c_237605]) ).
tcf(c_262686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ product(X1,h,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262671,c_85]) ).
tcf(c_262720,plain,
defined(codomain(d),domain(codomain(g))),
inference(superposition,[status(thm)],[c_84,c_262549]) ).
tcf(c_262722,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262549]) ).
tcf(c_262723,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262549]) ).
tcf(c_262738,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(g),h) ),
inference(superposition,[status(thm)],[c_249084,c_262549]) ).
tcf(c_262739,plain,
( defined(codomain(d),domain(h))
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_262549]) ).
tcf(c_262740,plain,
( defined(codomain(d),domain(h))
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_262549]) ).
tcf(c_262742,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,codomain(g))))
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_262549]) ).
tcf(c_262743,plain,
! [X0: $i] :
( defined(codomain(d),compose(g,X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262549]) ).
tcf(c_262793,plain,
! [X0: $i] :
( defined(g,domain(codomain(X0)))
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_84,c_260896]) ).
tcf(c_262795,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(X1))
| ~ identity_map(X1)
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_260896]) ).
tcf(c_262796,plain,
! [X0: $i,X1: $i] :
( defined(g,codomain(X1))
| ~ defined(h,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_260896]) ).
tcf(c_262797,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_260896]) ).
tcf(c_262799,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_260896]) ).
tcf(c_262803,plain,
( defined(g,d)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_258357,c_260896]) ).
tcf(c_262804,plain,
! [X0: $i] :
( defined(g,h)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_260896]) ).
tcf(c_262805,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_260896]) ).
tcf(c_262807,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(h)
| ~ defined(h,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_260896]) ).
tcf(c_262808,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_260896]) ).
tcf(c_262812,plain,
! [X0: $i] :
( defined(g,g)
| ~ identity_map(X0)
| ~ defined(h,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_260896]) ).
tcf(c_262813,plain,
! [X0: $i] :
( defined(g,codomain(h))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_260896]) ).
tcf(c_262814,plain,
! [X0: $i] :
( defined(g,codomain(g))
| ~ defined(h,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_260896]) ).
tcf(c_262815,plain,
! [X0: $i] :
( defined(g,codomain(g))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_260896]) ).
tcf(c_262816,plain,
! [X0: $i] :
( defined(g,compose(codomain(d),g))
| ~ defined(h,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_260896]) ).
tcf(c_262817,plain,
! [X0: $i] :
( defined(g,compose(codomain(d),g))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_260896]) ).
tcf(c_262818,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_260896]) ).
tcf(c_262824,plain,
! [X0: $i,X1: $i] :
( defined(g,domain(compose(X0,codomain(X1))))
| ~ defined(h,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_260896]) ).
tcf(c_262825,plain,
! [X0: $i,X1: $i] :
( defined(g,X0)
| ~ defined(X0,X1)
| ~ defined(h,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_260896]) ).
tcf(c_262827,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(X0,X1))
| ~ defined(h,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_260896]) ).
tcf(c_262828,plain,
( defined(g,d)
| ~ defined(h,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_260896]) ).
tcf(c_262830,plain,
( defined(g,h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_258569,c_260896]) ).
tcf(c_262831,plain,
( defined(g,g)
| ~ defined(h,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_260896]) ).
tcf(c_262832,plain,
( defined(g,h)
| ~ defined(h,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_260896]) ).
tcf(c_262835,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_260896]) ).
tcf(c_262836,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254755,c_260896]) ).
tcf(c_262837,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_260896]) ).
tcf(c_262838,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(h,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_260896]) ).
tcf(c_262966,plain,
( defined(g,domain(codomain(h)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_260935]) ).
tcf(c_262968,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_260935]) ).
tcf(c_262969,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_260935]) ).
tcf(c_262971,plain,
( defined(g,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_246238,c_260935]) ).
tcf(c_262972,plain,
( defined(g,h)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_260935]) ).
tcf(c_262973,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(d)
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_260935]) ).
tcf(c_262977,plain,
( defined(g,g)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_260935]) ).
tcf(c_262983,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_260935]) ).
tcf(c_262987,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(h))))
| ~ defined(h,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_260935]) ).
tcf(c_262988,plain,
! [X0: $i] :
( defined(g,compose(h,X0))
| ~ defined(h,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_260935]) ).
tcf(c_263003,plain,
( defined(g,codomain(d))
| ~ defined(h,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262983,c_85]) ).
tcf(c_263040,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(h))
| ~ defined(g,h)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_258049,c_81]) ).
tcf(c_263041,plain,
( defined(g,codomain(h))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_258049,c_255768]) ).
tcf(c_263046,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,h)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263040,c_83]) ).
tcf(c_263134,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_258371,c_81]) ).
tcf(c_263135,plain,
( defined(g,domain(c))
| ~ identity_map(d)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_258371,c_260896]) ).
tcf(c_263138,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_258371,c_235201]) ).
tcf(c_263140,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_258371,c_234516]) ).
tcf(c_263141,plain,
( defined(g,domain(c))
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_258371,c_260935]) ).
tcf(c_263142,plain,
( defined(codomain(d),domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_258371,c_260719]) ).
tcf(c_263146,plain,
( defined(c,domain(c))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_258371,c_244940]) ).
tcf(c_263147,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_258371,c_236811]) ).
tcf(c_263149,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_258371,c_235849]) ).
tcf(c_263152,plain,
( defined(codomain(h),h)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_258371,c_244206]) ).
tcf(c_263167,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263134,c_82]) ).
tcf(c_263175,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_258373,c_81]) ).
tcf(c_263176,plain,
( defined(g,domain(c))
| ~ identity_map(d)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_258373,c_260896]) ).
tcf(c_263179,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258373,c_235201]) ).
tcf(c_263181,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258373,c_234516]) ).
tcf(c_263196,plain,
( defined(codomain(g),g)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_258373,c_250907]) ).
tcf(c_263204,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263175,c_82]) ).
tcf(c_263208,plain,
defined(codomain(codomain(d)),d),
inference(global_subsumption_just,[status(thm)],[c_258376,c_51180]) ).
tcf(c_263221,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,c)
| ~ defined(X0,h)
| ~ product(c,b,X1)
| ~ product(X0,d,a) ),
inference(superposition,[status(thm)],[c_93,c_237606]) ).
tcf(c_263222,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_94,c_237606]) ).
tcf(c_263223,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_95,c_237606]) ).
tcf(c_263224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,h),X3,compose(X1,X2))
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(c,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_237606]) ).
tcf(c_263225,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X2,h),X1,X0)
| ~ defined(X2,h)
| ~ product(X2,d,X0)
| ~ product(c,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_237606]) ).
tcf(c_263226,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,X1)
| ~ defined(X0,h)
| ~ product(c,X1,X2)
| ~ product(X0,d,codomain(X1)) ),
inference(superposition,[status(thm)],[c_87,c_237606]) ).
tcf(c_263227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,h),X3,X2)
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(c,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_237606]) ).
tcf(c_263228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,h),X3,X1)
| ~ identity_map(X2)
| ~ defined(X0,h)
| ~ defined(X1,X2)
| ~ product(c,X2,X3)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_237606]) ).
tcf(c_263229,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_245077,c_237606]) ).
tcf(c_263230,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_252415,c_237606]) ).
tcf(c_263231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X3,h),X1,X2)
| ~ defined(c,X0)
| ~ defined(X3,h)
| ~ product(X3,d,h)
| ~ product(d,X0,X2)
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_235931,c_237606]) ).
tcf(c_263232,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,domain(X1))
| ~ defined(X0,h)
| ~ product(c,domain(X1),X2)
| ~ product(X0,d,domain(X1)) ),
inference(superposition,[status(thm)],[c_236023,c_237606]) ).
tcf(c_263233,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,codomain(X1))
| ~ defined(X0,h)
| ~ product(c,codomain(X1),X2)
| ~ product(X0,d,codomain(X1)) ),
inference(superposition,[status(thm)],[c_236052,c_237606]) ).
tcf(c_263234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X3,h),X1,X2)
| ~ defined(c,X0)
| ~ defined(X3,h)
| ~ product(X3,d,g)
| ~ product(d,X0,X2)
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_236632,c_237606]) ).
tcf(c_263235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,h),X3,X2)
| ~ defined(X1,h)
| ~ defined(X0,h)
| ~ product(c,c,X3)
| ~ product(X1,d,X2)
| ~ product(X0,d,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_236911,c_237606]) ).
tcf(c_263236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X2,h),X3,compose(X0,d))
| ~ defined(X2,h)
| ~ defined(X0,d)
| ~ product(c,c,X3)
| ~ product(X2,d,X1)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_237174,c_237606]) ).
tcf(c_263237,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,domain(c))
| ~ identity_map(d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_244195,c_237606]) ).
tcf(c_263238,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_244686,c_237606]) ).
tcf(c_263239,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,domain(c))
| ~ identity_map(d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_250895,c_237606]) ).
tcf(c_263240,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,codomain(h))
| ~ identity_map(d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_251180,c_237606]) ).
tcf(c_263241,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_237501,c_237606]) ).
tcf(c_263242,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,codomain(d)) ),
inference(superposition,[status(thm)],[c_238065,c_237606]) ).
tcf(c_263243,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,compose(d,X2))
| ~ identity_map(X2)
| ~ defined(d,X2)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_252127,c_237606]) ).
tcf(c_263244,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,h),X0,d)
| ~ defined(X1,h)
| ~ product(X1,d,d)
| ~ product(c,domain(c),X0) ),
inference(superposition,[status(thm)],[c_244243,c_237606]) ).
tcf(c_263245,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,d,X1)
| ~ product(X0,d,codomain(h)) ),
inference(superposition,[status(thm)],[c_246227,c_237606]) ).
tcf(c_263246,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,c)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,domain(h)) ),
inference(superposition,[status(thm)],[c_254753,c_237606]) ).
tcf(c_263247,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,a)
| ~ defined(X0,h)
| ~ product(c,a,X1)
| ~ product(X0,d,domain(h)) ),
inference(superposition,[status(thm)],[c_255128,c_237606]) ).
tcf(c_263248,plain,
! [X0: $i,X1: $i] :
( product(compose(X1,h),X0,g)
| ~ defined(X1,h)
| ~ product(X1,d,g)
| ~ product(c,domain(h),X0) ),
inference(superposition,[status(thm)],[c_255419,c_237606]) ).
tcf(c_263249,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,compose(codomain(d),g))
| ~ defined(X0,h)
| ~ product(c,domain(h),X1)
| ~ product(X0,d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_255989,c_237606]) ).
tcf(c_263250,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,codomain(h)) ),
inference(superposition,[status(thm)],[c_246247,c_237606]) ).
tcf(c_263479,plain,
( defined(g,domain(codomain(g)))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_84,c_262570]) ).
tcf(c_263481,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262570]) ).
tcf(c_263482,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262570]) ).
tcf(c_263486,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(h)
| ~ defined(h,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_262570]) ).
tcf(c_263492,plain,
( defined(g,codomain(h))
| ~ defined(h,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_262570]) ).
tcf(c_263496,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(h,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_237509,c_262570]) ).
tcf(c_263501,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(g))))
| ~ defined(h,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_262570]) ).
tcf(c_263502,plain,
! [X0: $i] :
( defined(g,compose(g,X0))
| ~ defined(h,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262570]) ).
tcf(c_263510,plain,
( defined(g,codomain(h))
| ~ defined(h,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263492,c_258357]) ).
tcf(c_263520,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(h,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263496,c_258357]) ).
tcf(c_263554,plain,
( defined(g,domain(codomain(g)))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_84,c_262582]) ).
tcf(c_263556,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262582]) ).
tcf(c_263557,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262582]) ).
tcf(c_263576,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(g))))
| ~ defined(h,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_262582]) ).
tcf(c_263577,plain,
! [X0: $i] :
( defined(g,compose(g,X0))
| ~ defined(h,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262582]) ).
tcf(c_263599,plain,
! [X0: $i] :
( defined(domain(X0),d)
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_235975,c_258809]) ).
tcf(c_263600,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_235976,c_258809]) ).
tcf(c_263602,plain,
( defined(domain(h),d)
| ~ defined(compose(codomain(d),g),g) ),
inference(superposition,[status(thm)],[c_255960,c_258809]) ).
tcf(c_263603,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(d)
| ~ defined(d,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_81]) ).
tcf(c_263604,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_234798]) ).
tcf(c_263606,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_239225]) ).
tcf(c_263607,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ identity_map(h)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_239217]) ).
tcf(c_263608,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_234317]) ).
tcf(c_263610,plain,
( defined(d,codomain(d))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_244426]) ).
tcf(c_263612,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_235792]) ).
tcf(c_263613,plain,
( defined(b,codomain(d))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_234782]) ).
tcf(c_263616,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_235829]) ).
tcf(c_263617,plain,
( defined(c,codomain(d))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_234754]) ).
tcf(c_263618,plain,
( defined(b,codomain(d))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_234526]) ).
tcf(c_263621,plain,
( defined(b,codomain(g))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_236869]) ).
tcf(c_263622,plain,
( defined(c,codomain(g))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_236868]) ).
tcf(c_263623,plain,
( defined(b,codomain(h))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_236791]) ).
tcf(c_263624,plain,
( defined(c,codomain(h))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_236790]) ).
tcf(c_263625,plain,
( defined(c,g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_235409]) ).
tcf(c_263627,plain,
( defined(b,g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258809,c_235350]) ).
tcf(c_263629,plain,
( defined(d,codomain(g))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_244441]) ).
tcf(c_263630,plain,
( defined(d,codomain(h))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_244440]) ).
tcf(c_263631,plain,
( defined(b,codomain(g))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_236865]) ).
tcf(c_263632,plain,
( defined(b,codomain(h))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_236787]) ).
tcf(c_263633,plain,
( defined(b,g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_235592]) ).
tcf(c_263635,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_236859]) ).
tcf(c_263636,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258809,c_236781]) ).
tcf(c_263639,plain,
( defined(d,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258809,c_260700]) ).
tcf(c_263640,plain,
( defined(c,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258809,c_260693]) ).
tcf(c_263641,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258809,c_235781]) ).
tcf(c_263642,plain,
( defined(g,d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_258809,c_237155]) ).
tcf(c_263643,plain,
( defined(h,d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_258809,c_237017]) ).
tcf(c_263646,plain,
( defined(g,g)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_258809,c_255406]) ).
tcf(c_263861,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258812,c_81]) ).
tcf(c_263864,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_239225]) ).
tcf(c_263865,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_239217]) ).
tcf(c_263866,plain,
( defined(domain(c),g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_234317]) ).
tcf(c_263868,plain,
( defined(d,codomain(d))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_244426]) ).
tcf(c_263869,plain,
( defined(d,d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_244305]) ).
tcf(c_263873,plain,
( defined(d,codomain(g))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_244441]) ).
tcf(c_263874,plain,
( defined(d,codomain(h))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_244440]) ).
tcf(c_263907,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258820,c_81]) ).
tcf(c_263910,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258820,c_239225]) ).
tcf(c_263911,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258820,c_239217]) ).
tcf(c_263912,plain,
( defined(domain(b),g)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258820,c_234317]) ).
tcf(c_263937,plain,
! [X0: $i] :
( defined(domain(X0),h)
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_235975,c_260259]) ).
tcf(c_263938,plain,
! [X0: $i] :
( defined(codomain(X0),h)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_235976,c_260259]) ).
tcf(c_263940,plain,
( defined(domain(h),h)
| ~ defined(compose(codomain(d),g),g) ),
inference(superposition,[status(thm)],[c_255960,c_260259]) ).
tcf(c_263941,plain,
! [X0: $i,X1: $i] :
( defined(domain(X0),X1)
| ~ identity_map(h)
| ~ defined(h,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_260259,c_81]) ).
tcf(c_263948,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_260259,c_235792]) ).
tcf(c_263952,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_260259,c_235829]) ).
tcf(c_263959,plain,
( defined(d,h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_260259,c_260700]) ).
tcf(c_263960,plain,
( defined(c,h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_260259,c_260693]) ).
tcf(c_263961,plain,
( defined(a,h)
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_260259,c_235781]) ).
tcf(c_263962,plain,
( defined(g,h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_260259,c_237155]) ).
tcf(c_263963,plain,
( defined(h,h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_260259,c_237017]) ).
tcf(c_264073,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,compose(X1,h)),c)
| ~ defined(X1,h)
| ~ defined(X0,X2)
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_73,c_237607]) ).
tcf(c_264075,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X1,h),c)
| ~ identity_map(X0)
| ~ defined(X1,h)
| ~ defined(X0,X2)
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_88,c_237607]) ).
tcf(c_264076,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,c)
| ~ defined(X1,h)
| ~ defined(X0,X2)
| ~ identity_map(compose(X1,h))
| ~ product(X1,d,X2)
| ~ defined(X0,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_89,c_237607]) ).
tcf(c_264077,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(c,h)
| ~ defined(h,X0)
| ~ product(d,h,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_235931,c_237607]) ).
tcf(c_264078,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(c,h)
| ~ defined(g,X0)
| ~ product(d,h,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_236632,c_237607]) ).
tcf(c_264079,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,X0)
| ~ defined(codomain(h),h)
| ~ product(X1,h,X2)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_236653,c_237607]) ).
tcf(c_264090,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,X0)
| ~ product(X1,h,X2)
| ~ product(codomain(h),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264079,c_85]) ).
tcf(c_264119,plain,
( defined(g,domain(codomain(d)))
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_84,c_262627]) ).
tcf(c_264121,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262627]) ).
tcf(c_264122,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262627]) ).
tcf(c_264128,plain,
( defined(g,h)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_237761,c_262627]) ).
tcf(c_264131,plain,
( defined(g,g)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_237760,c_262627]) ).
tcf(c_264141,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(h,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_262627]) ).
tcf(c_264143,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262627]) ).
tcf(c_264210,plain,
( defined(h,domain(codomain(g)))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_84,c_262639]) ).
tcf(c_264212,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262639]) ).
tcf(c_264213,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262639]) ).
tcf(c_264218,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_262639]) ).
tcf(c_264227,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(g,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_237509,c_262639]) ).
tcf(c_264229,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_262639]) ).
tcf(c_264230,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_262639]) ).
tcf(c_264232,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(g))))
| ~ defined(g,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_262639]) ).
tcf(c_264233,plain,
! [X0: $i] :
( defined(h,compose(g,X0))
| ~ defined(g,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262639]) ).
tcf(c_264235,plain,
( defined(h,domain(c))
| ~ identity_map(d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_258373,c_262639]) ).
tcf(c_264251,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(g,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264227,c_258357]) ).
tcf(c_264289,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260262,c_81]) ).
tcf(c_264295,plain,
( defined(d,h)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_260262,c_244305]) ).
tcf(c_264315,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260270,c_81]) ).
tcf(c_264333,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(h))
| ~ defined(g,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260381,c_81]) ).
tcf(c_264334,plain,
( defined(g,codomain(h))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_260381,c_255768]) ).
tcf(c_264339,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264333,c_83]) ).
tcf(c_264347,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(g))
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260385,c_81]) ).
tcf(c_264348,plain,
( defined(g,codomain(g))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_260385,c_255768]) ).
tcf(c_264351,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264347,c_83]) ).
tcf(c_264359,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260386,c_81]) ).
tcf(c_264360,plain,
( defined(g,codomain(d))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_260386,c_255768]) ).
tcf(c_264363,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,d)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264359,c_83]) ).
tcf(c_264400,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_260764]) ).
tcf(c_264401,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ defined(g,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_260764]) ).
tcf(c_264402,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(codomain(X0))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260764,c_81]) ).
tcf(c_264403,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_260764,c_255768]) ).
tcf(c_264412,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264402,c_83]) ).
tcf(c_264420,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(h)
| ~ defined(g,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260774,c_81]) ).
tcf(c_264421,plain,
( defined(h,codomain(h))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_234798]) ).
tcf(c_264422,plain,
( defined(h,h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_234369]) ).
tcf(c_264423,plain,
( defined(domain(h),g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_246376]) ).
tcf(c_264425,plain,
( defined(h,codomain(g))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_250467]) ).
tcf(c_264426,plain,
( defined(h,codomain(d))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_249835]) ).
tcf(c_264427,plain,
( defined(g,h)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_254774]) ).
tcf(c_264473,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,h),c) = X1 )
| ~ defined(X0,h)
| ~ product(X0,d,X1)
| ~ defined(compose(X0,h),c) ),
inference(superposition,[status(thm)],[c_73,c_237608]) ).
tcf(c_264474,plain,
! [X0: $i,X1: $i] :
( ( X1 = c )
| ~ defined(X0,h)
| ~ identity_map(compose(X0,h))
| ~ product(X0,d,X1)
| ~ defined(compose(X0,h),c) ),
inference(superposition,[status(thm)],[c_88,c_237608]) ).
tcf(c_264476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,h)
| ~ product(X0,d,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_236911,c_237608]) ).
tcf(c_264477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(X0,d) = X2 )
| ~ defined(X1,h)
| ~ defined(X0,d)
| ~ product(X1,d,X2)
| ~ product(X0,g,compose(X1,h)) ),
inference(superposition,[status(thm)],[c_237174,c_237608]) ).
tcf(c_264478,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(codomain(h),h)
| ~ product(h,c,X1)
| ~ product(codomain(h),d,X0) ),
inference(superposition,[status(thm)],[c_236653,c_237608]) ).
tcf(c_264483,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(h,c,X1)
| ~ product(codomain(h),d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264478,c_85]) ).
tcf(c_264565,plain,
( defined(h,domain(codomain(d)))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_84,c_262651]) ).
tcf(c_264567,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_262651]) ).
tcf(c_264568,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_262651]) ).
tcf(c_264574,plain,
( defined(h,h)
| ~ identity_map(d)
| ~ defined(g,h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237761,c_262651]) ).
tcf(c_264577,plain,
( defined(h,g)
| ~ identity_map(d)
| ~ defined(g,h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237760,c_262651]) ).
tcf(c_264578,plain,
( defined(h,codomain(h))
| ~ defined(g,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_262651]) ).
tcf(c_264585,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_262651]) ).
tcf(c_264586,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_262651]) ).
tcf(c_264587,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(g,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_262651]) ).
tcf(c_264589,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_262651]) ).
tcf(c_264636,plain,
( defined(h,domain(codomain(h)))
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_84,c_263046]) ).
tcf(c_264638,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_263046]) ).
tcf(c_264639,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,h)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_263046]) ).
tcf(c_264642,plain,
( defined(h,h)
| ~ identity_map(h)
| ~ defined(g,h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_263046]) ).
tcf(c_264647,plain,
( defined(h,g)
| ~ identity_map(h)
| ~ defined(g,h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_263046]) ).
tcf(c_264648,plain,
( defined(h,codomain(h))
| ~ defined(g,h)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_263046]) ).
tcf(c_264654,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_263046]) ).
tcf(c_264655,plain,
( defined(h,domain(h))
| ~ defined(g,h)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_263046]) ).
tcf(c_264657,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(h))))
| ~ defined(g,h)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_263046]) ).
tcf(c_264658,plain,
! [X0: $i] :
( defined(h,compose(h,X0))
| ~ defined(g,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_263046]) ).
tcf(c_264720,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ identity_map(d)
| ~ defined(g,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260775,c_81]) ).
tcf(c_264722,plain,
( defined(h,d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260775,c_234369]) ).
tcf(c_264729,plain,
( defined(h,g)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260775,c_235614]) ).
tcf(c_264731,plain,
( defined(g,d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260775,c_254774]) ).
tcf(c_264769,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_261281]) ).
tcf(c_264770,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ defined(b,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_261281]) ).
tcf(c_264771,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(codomain(X0))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_261281,c_81]) ).
tcf(c_264774,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_261281,c_234232]) ).
tcf(c_264775,plain,
( defined(domain(c),h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261281,c_251612]) ).
tcf(c_264776,plain,
( defined(c,h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261281,c_251604]) ).
tcf(c_264787,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264771,c_83]) ).
tcf(c_264795,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_261297,c_81]) ).
tcf(c_264798,plain,
( defined(b,codomain(h))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261297,c_234232]) ).
tcf(c_264799,plain,
( defined(domain(c),h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261297,c_251612]) ).
tcf(c_264805,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264795,c_83]) ).
tcf(c_264817,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(X1,h))
| ~ defined(X1,d)
| ~ defined(X1,h)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_73,c_237609]) ).
tcf(c_264818,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(X0,d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_87,c_237609]) ).
tcf(c_264819,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,h))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_88,c_237609]) ).
tcf(c_264820,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(X1,h))
| ~ identity_map(d)
| ~ defined(X1,d)
| ~ defined(X1,h)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237609]) ).
tcf(c_264821,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),h))
| ~ defined(X0,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_246227,c_237609]) ).
tcf(c_264822,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),h))
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264821,c_85]) ).
tcf(c_264825,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264818,c_234468]) ).
tcf(c_264857,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ identity_map(compose(codomain(d),h))
| ~ defined(compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_264825,c_81]) ).
tcf(c_264858,plain,
! [X0: $i] :
( defined(X0,codomain(compose(codomain(d),h)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_234798]) ).
tcf(c_264859,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_234369]) ).
tcf(c_264860,plain,
! [X0: $i] :
( defined(g,compose(codomain(d),h))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_260896]) ).
tcf(c_264861,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_245443]) ).
tcf(c_264862,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_235210]) ).
tcf(c_264863,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_235201]) ).
tcf(c_264864,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_235191]) ).
tcf(c_264865,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),h))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_234516]) ).
tcf(c_264866,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_264825,c_244425]) ).
tcf(c_264867,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_264825,c_238529]) ).
tcf(c_264868,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_264825,c_234232]) ).
tcf(c_264869,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264825,c_261117]) ).
tcf(c_264870,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264825,c_260955]) ).
tcf(c_264871,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264825,c_234348]) ).
tcf(c_264872,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_264825,c_238589]) ).
tcf(c_264873,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_264825,c_234525]) ).
tcf(c_264874,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_264825,c_234233]) ).
tcf(c_264875,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),h))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_264825,c_234235]) ).
tcf(c_264876,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_264825,c_234318]) ).
tcf(c_264877,plain,
( defined(g,compose(codomain(d),h))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_264825,c_234456]) ).
tcf(c_264878,plain,
( defined(h,compose(codomain(d),h))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_264825,c_234446]) ).
tcf(c_264879,plain,
( defined(g,compose(codomain(d),h))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_264825,c_255768]) ).
tcf(c_264880,plain,
( defined(h,compose(codomain(d),h))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_264825,c_260765]) ).
tcf(c_264881,plain,
( defined(d,codomain(compose(codomain(d),h)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_244426]) ).
tcf(c_264882,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_244305]) ).
tcf(c_264883,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_235792]) ).
tcf(c_264884,plain,
( defined(b,codomain(compose(codomain(d),h)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_234782]) ).
tcf(c_264885,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_234366]) ).
tcf(c_264886,plain,
( defined(domain(c),compose(codomain(d),h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_257986]) ).
tcf(c_264887,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_235829]) ).
tcf(c_264888,plain,
( defined(c,codomain(compose(codomain(d),h)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_234754]) ).
tcf(c_264889,plain,
( defined(b,codomain(compose(codomain(d),h)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_234526]) ).
tcf(c_264890,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_234363]) ).
tcf(c_264891,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_234360]) ).
tcf(c_264902,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_264825,c_260700]) ).
tcf(c_264903,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_264825,c_260693]) ).
tcf(c_264904,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_264825,c_235781]) ).
tcf(c_264916,plain,
( defined(h,compose(codomain(d),h))
| ~ defined(g,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_262639]) ).
tcf(c_264918,plain,
( defined(g,compose(codomain(d),h))
| ~ defined(h,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_262570]) ).
tcf(c_264919,plain,
( defined(codomain(d),compose(codomain(d),h))
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_262549]) ).
tcf(c_264920,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_250867]) ).
tcf(c_264921,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(X0,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_250593]) ).
tcf(c_264922,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_250457]) ).
tcf(c_264923,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_250444]) ).
tcf(c_264924,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_250368]) ).
tcf(c_264926,plain,
( defined(d,compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_249027]) ).
tcf(c_264927,plain,
( defined(c,compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_249015]) ).
tcf(c_264928,plain,
( defined(b,compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_249003]) ).
tcf(c_264933,plain,
( defined(g,compose(codomain(d),h))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_264825,c_237155]) ).
tcf(c_264934,plain,
( defined(h,compose(codomain(d),h))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_264825,c_237017]) ).
tcf(c_264935,plain,
( defined(g,compose(codomain(d),h))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_254774]) ).
tcf(c_264968,plain,
defined(codomain(d),compose(codomain(d),h)),
inference(forward_subsumption_resolution,[status(thm)],[c_264919,c_258357]) ).
tcf(c_265003,plain,
( defined(b,compose(codomain(d),h))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264928,c_258357]) ).
tcf(c_265006,plain,
( defined(c,compose(codomain(d),h))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264927,c_258357]) ).
tcf(c_265009,plain,
( defined(d,compose(codomain(d),h))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264926,c_258357]) ).
tcf(c_265021,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264924,c_258357]) ).
tcf(c_265024,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264923,c_258357]) ).
tcf(c_265027,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264922,c_258357]) ).
tcf(c_265030,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(X0,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264921,c_258357]) ).
tcf(c_265033,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264920,c_258357]) ).
tcf(c_265036,plain,
( defined(g,compose(codomain(d),h))
| ~ defined(h,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264918,c_258357]) ).
tcf(c_265039,plain,
( defined(h,compose(codomain(d),h))
| ~ defined(g,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264916,c_258357]) ).
tcf(c_265514,plain,
( defined(codomain(h),domain(domain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_263167]) ).
tcf(c_265515,plain,
! [X0: $i] :
( defined(codomain(h),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_263167]) ).
tcf(c_265516,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234236,c_263167]) ).
tcf(c_265517,plain,
! [X0: $i] :
( defined(codomain(h),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_263167]) ).
tcf(c_265520,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_263167]) ).
tcf(c_265521,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_263167]) ).
tcf(c_265522,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_260259,c_263167]) ).
tcf(c_265523,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234489,c_263167]) ).
tcf(c_265530,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_263167]) ).
tcf(c_265531,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_263167]) ).
tcf(c_265535,plain,
( defined(codomain(h),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_263167]) ).
tcf(c_265536,plain,
( defined(codomain(h),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_263167]) ).
tcf(c_265537,plain,
( defined(codomain(h),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_263167]) ).
tcf(c_265538,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_263167]) ).
tcf(c_265539,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_263167]) ).
tcf(c_265540,plain,
( defined(codomain(h),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_263167]) ).
tcf(c_265541,plain,
( defined(codomain(h),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_263167]) ).
tcf(c_265542,plain,
( defined(codomain(h),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_263167]) ).
tcf(c_265543,plain,
! [X0: $i] :
( defined(codomain(h),domain(compose(X0,domain(c))))
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_263167]) ).
tcf(c_265544,plain,
( defined(codomain(h),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_257420,c_263167]) ).
tcf(c_265551,plain,
( defined(codomain(h),compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_263167]) ).
tcf(c_265642,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(compose(codomain(d),h))
| ~ defined(compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_264968,c_81]) ).
tcf(c_265649,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_264968,c_234318]) ).
tcf(c_265667,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(g))
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_261298,c_81]) ).
tcf(c_265670,plain,
( defined(b,codomain(g))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261298,c_234232]) ).
tcf(c_265673,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265667,c_83]) ).
tcf(c_265681,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(g))
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_261299,c_81]) ).
tcf(c_265684,plain,
( defined(b,codomain(g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261299,c_234232]) ).
tcf(c_265687,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265681,c_83]) ).
tcf(c_265756,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_261304,c_81]) ).
tcf(c_265759,plain,
( defined(b,codomain(d))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261304,c_234232]) ).
tcf(c_265762,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265756,c_83]) ).
tcf(c_265793,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(h))
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_261310,c_81]) ).
tcf(c_265796,plain,
( defined(b,domain(h))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_261310,c_234232]) ).
tcf(c_265799,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265793,c_82]) ).
tcf(c_265823,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(h))
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_261311,c_81]) ).
tcf(c_265826,plain,
( defined(b,domain(h))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_261311,c_234232]) ).
tcf(c_265829,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265823,c_82]) ).
tcf(c_265839,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,codomain(X0)) ),
inference(superposition,[status(thm)],[c_236672,c_261377]) ).
tcf(c_265840,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ defined(b,domain(X0)) ),
inference(superposition,[status(thm)],[c_236671,c_261377]) ).
tcf(c_265841,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(codomain(X0))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_261377,c_81]) ).
tcf(c_265845,plain,
( defined(domain(d),h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261377,c_251612]) ).
tcf(c_265846,plain,
( defined(d,h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261377,c_251604]) ).
tcf(c_265847,plain,
( defined(domain(b),h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261377,c_253531]) ).
tcf(c_265859,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265841,c_83]) ).
tcf(c_265885,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_261393,c_81]) ).
tcf(c_265889,plain,
( defined(domain(d),h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261393,c_251612]) ).
tcf(c_265891,plain,
( defined(domain(b),h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261393,c_253531]) ).
tcf(c_265897,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265885,c_83]) ).
tcf(c_265905,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(g))
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_261394,c_81]) ).
tcf(c_265909,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265905,c_83]) ).
tcf(c_265917,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(g))
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_261395,c_81]) ).
tcf(c_265921,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265917,c_83]) ).
tcf(c_265942,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_261400,c_81]) ).
tcf(c_265946,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265942,c_83]) ).
tcf(c_265960,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,h),X2)
| ~ defined(X0,d)
| ~ defined(X0,h)
| ~ product(c,X1,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_73,c_237610]) ).
tcf(c_265961,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),h),X1)
| ~ defined(d,X0)
| ~ defined(codomain(d),h)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_237610]) ).
tcf(c_265962,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,h),X1)
| ~ identity_map(X2)
| ~ defined(d,X0)
| ~ defined(X2,d)
| ~ defined(X2,h)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_237610]) ).
tcf(c_265963,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,h),X1)
| ~ identity_map(d)
| ~ defined(X2,d)
| ~ defined(X2,h)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237610]) ).
tcf(c_265964,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),h),X1)
| ~ defined(d,X0)
| ~ defined(codomain(h),h)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_246227,c_237610]) ).
tcf(c_265965,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),h),X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265964,c_85]) ).
tcf(c_265969,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),h),X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265961,c_234468]) ).
tcf(c_266064,plain,
( defined(codomain(g),domain(domain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_263204]) ).
tcf(c_266065,plain,
! [X0: $i] :
( defined(codomain(g),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_263204]) ).
tcf(c_266066,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234236,c_263204]) ).
tcf(c_266067,plain,
! [X0: $i] :
( defined(codomain(g),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_263204]) ).
tcf(c_266070,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_263204]) ).
tcf(c_266071,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_263204]) ).
tcf(c_266074,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_248568,c_263204]) ).
tcf(c_266075,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_234488,c_263204]) ).
tcf(c_266080,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_263204]) ).
tcf(c_266081,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_263204]) ).
tcf(c_266085,plain,
( defined(codomain(g),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236325,c_263204]) ).
tcf(c_266086,plain,
( defined(codomain(g),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249114,c_263204]) ).
tcf(c_266087,plain,
( defined(codomain(g),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_236326,c_263204]) ).
tcf(c_266088,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(domain(c)),d) ),
inference(superposition,[status(thm)],[c_237655,c_263204]) ).
tcf(c_266089,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237509,c_263204]) ).
tcf(c_266090,plain,
( defined(codomain(g),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_263204]) ).
tcf(c_266091,plain,
( defined(codomain(g),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_263204]) ).
tcf(c_266092,plain,
( defined(codomain(g),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_263204]) ).
tcf(c_266093,plain,
! [X0: $i] :
( defined(codomain(g),domain(compose(X0,domain(c))))
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_263204]) ).
tcf(c_266094,plain,
( defined(codomain(g),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_257420,c_263204]) ).
tcf(c_266101,plain,
( defined(codomain(g),compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_264825,c_263204]) ).
tcf(c_266304,plain,
( defined(h,domain(codomain(h)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_264339]) ).
tcf(c_266306,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_264339]) ).
tcf(c_266307,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_264339]) ).
tcf(c_266309,plain,
( defined(h,d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_246238,c_264339]) ).
tcf(c_266310,plain,
( defined(h,h)
| ~ identity_map(h)
| ~ defined(g,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_264339]) ).
tcf(c_266311,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_264339]) ).
tcf(c_266315,plain,
( defined(h,g)
| ~ identity_map(h)
| ~ defined(g,d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_264339]) ).
tcf(c_266321,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_264339]) ).
tcf(c_266322,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_264339]) ).
tcf(c_266323,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_264339]) ).
tcf(c_266325,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(h))))
| ~ defined(g,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_264339]) ).
tcf(c_266326,plain,
! [X0: $i] :
( defined(h,compose(h,X0))
| ~ defined(g,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_264339]) ).
tcf(c_266327,plain,
( defined(h,domain(c))
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_258371,c_264339]) ).
tcf(c_266380,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_261406,c_81]) ).
tcf(c_266384,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266380,c_82]) ).
tcf(c_266400,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(h))
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_261407,c_81]) ).
tcf(c_266404,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266400,c_82]) ).
tcf(c_266412,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ identity_map(domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_263142,c_81]) ).
tcf(c_266431,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266412,c_82]) ).
tcf(c_266443,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ defined(X0,h)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_73,c_237611]) ).
tcf(c_266445,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(X0,d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_88,c_237611]) ).
tcf(c_266446,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ defined(X0,h)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_237611]) ).
tcf(c_266468,plain,
( defined(h,domain(codomain(g)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_264351]) ).
tcf(c_266470,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_264351]) ).
tcf(c_266471,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_264351]) ).
tcf(c_266486,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(g),h) ),
inference(superposition,[status(thm)],[c_249084,c_264351]) ).
tcf(c_266487,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_264351]) ).
tcf(c_266488,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_264351]) ).
tcf(c_266490,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(g))))
| ~ defined(g,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_264351]) ).
tcf(c_266491,plain,
! [X0: $i] :
( defined(h,compose(g,X0))
| ~ defined(g,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_264351]) ).
tcf(c_266518,plain,
( defined(h,domain(codomain(d)))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_84,c_264363]) ).
tcf(c_266520,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_264363]) ).
tcf(c_266521,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,d)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_264363]) ).
tcf(c_266527,plain,
( defined(h,h)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237761,c_264363]) ).
tcf(c_266530,plain,
( defined(h,g)
| ~ identity_map(d)
| ~ defined(g,d)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237760,c_264363]) ).
tcf(c_266536,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_264363]) ).
tcf(c_266538,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_264363]) ).
tcf(c_266539,plain,
( defined(h,domain(h))
| ~ defined(g,d)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_264363]) ).
tcf(c_266540,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(g,d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_264363]) ).
tcf(c_266542,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_264363]) ).
tcf(c_266608,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(d))
| ~ defined(X1,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263604,c_81]) ).
tcf(c_266609,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(d)))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_234798]) ).
tcf(c_266610,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_234369]) ).
tcf(c_266611,plain,
! [X0: $i] :
( defined(g,codomain(d))
| ~ defined(h,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_260896]) ).
tcf(c_266612,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_245443]) ).
tcf(c_266613,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_235210]) ).
tcf(c_266614,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_235201]) ).
tcf(c_266615,plain,
! [X0: $i] :
( defined(b,codomain(d))
| ~ defined(c,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_235191]) ).
tcf(c_266616,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_234516]) ).
tcf(c_266618,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263604,c_238529]) ).
tcf(c_266620,plain,
( defined(d,codomain(d))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263604,c_261117]) ).
tcf(c_266621,plain,
( defined(c,codomain(d))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263604,c_260955]) ).
tcf(c_266622,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263604,c_234348]) ).
tcf(c_266623,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_263604,c_238589]) ).
tcf(c_266626,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),g) ),
inference(superposition,[status(thm)],[c_263604,c_234235]) ).
tcf(c_266627,plain,
( defined(g,codomain(d))
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_263604,c_234456]) ).
tcf(c_266628,plain,
( defined(h,codomain(d))
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_263604,c_234446]) ).
tcf(c_266629,plain,
( defined(g,codomain(d))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_263604,c_255768]) ).
tcf(c_266631,plain,
( defined(codomain(g),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_263204]) ).
tcf(c_266632,plain,
( defined(codomain(h),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_263167]) ).
tcf(c_266633,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_244426]) ).
tcf(c_266634,plain,
( defined(d,codomain(d))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_244305]) ).
tcf(c_266635,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_235792]) ).
tcf(c_266636,plain,
( defined(b,codomain(codomain(d)))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_234782]) ).
tcf(c_266637,plain,
( defined(b,codomain(d))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_234366]) ).
tcf(c_266638,plain,
( defined(domain(c),codomain(d))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_257986]) ).
tcf(c_266639,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_235829]) ).
tcf(c_266640,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_234754]) ).
tcf(c_266641,plain,
( defined(b,codomain(codomain(d)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_234526]) ).
tcf(c_266642,plain,
( defined(c,codomain(d))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_234363]) ).
tcf(c_266643,plain,
( defined(b,codomain(d))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_234360]) ).
tcf(c_266644,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_264363]) ).
tcf(c_266655,plain,
( defined(d,codomain(d))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263604,c_260700]) ).
tcf(c_266656,plain,
( defined(c,codomain(d))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263604,c_260693]) ).
tcf(c_266657,plain,
( defined(a,codomain(d))
| ~ identity_map(b)
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263604,c_235781]) ).
tcf(c_266658,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_264339]) ).
tcf(c_266660,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_260935]) ).
tcf(c_266661,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_260719]) ).
tcf(c_266662,plain,
( defined(d,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_245480]) ).
tcf(c_266666,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_236811]) ).
tcf(c_266667,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_236268]) ).
tcf(c_266668,plain,
( defined(c,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_235849]) ).
tcf(c_266669,plain,
( defined(b,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_235440]) ).
tcf(c_266670,plain,
( defined(h,codomain(d))
| ~ defined(g,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_264351]) ).
tcf(c_266672,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_262582]) ).
tcf(c_266674,plain,
( defined(codomain(d),codomain(d))
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_262549]) ).
tcf(c_266680,plain,
( defined(d,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_245494]) ).
tcf(c_266684,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ defined(X0,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_236889]) ).
tcf(c_266685,plain,
( defined(b,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_236304]) ).
tcf(c_266686,plain,
( defined(c,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_235872]) ).
tcf(c_266687,plain,
( defined(b,codomain(d))
| ~ defined(d,d)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263604,c_235449]) ).
tcf(c_266688,plain,
( defined(g,codomain(d))
| ~ identity_map(a)
| ~ defined(domain(a),g) ),
inference(superposition,[status(thm)],[c_263604,c_237155]) ).
tcf(c_266689,plain,
( defined(h,codomain(d))
| ~ identity_map(a)
| ~ defined(domain(a),g) ),
inference(superposition,[status(thm)],[c_263604,c_237017]) ).
tcf(c_266690,plain,
( defined(g,codomain(d))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_254774]) ).
tcf(c_266797,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266608,c_83]) ).
tcf(c_266933,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263610,c_81]) ).
tcf(c_266936,plain,
( defined(c,codomain(d))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263610,c_234233]) ).
tcf(c_266939,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266933,c_83]) ).
tcf(c_266957,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263613,c_81]) ).
tcf(c_266961,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266957,c_83]) ).
tcf(c_266969,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263617,c_81]) ).
tcf(c_266973,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266969,c_83]) ).
tcf(c_266981,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(d))
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263618,c_81]) ).
tcf(c_266985,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266981,c_83]) ).
tcf(c_266993,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263623,c_81]) ).
tcf(c_266996,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_263623,c_234348]) ).
tcf(c_267002,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266993,c_83]) ).
tcf(c_267010,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263624,c_81]) ).
tcf(c_267016,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267010,c_83]) ).
tcf(c_267024,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263630,c_81]) ).
tcf(c_267025,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263630,c_238589]) ).
tcf(c_267027,plain,
( defined(c,codomain(h))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263630,c_234233]) ).
tcf(c_267028,plain,
( defined(domain(d),h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263630,c_251612]) ).
tcf(c_267030,plain,
( defined(domain(b),h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263630,c_253531]) ).
tcf(c_267031,plain,
( defined(domain(c),h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_263630,c_251615]) ).
tcf(c_267043,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267024,c_83]) ).
tcf(c_267069,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,h) ),
inference(global_subsumption_just,[status(thm)],[c_237612,c_51964]) ).
tcf(c_267078,plain,
! [X0: $i] :
( defined(compose(X0,h),a)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_267069,c_234315]) ).
tcf(c_267087,plain,
! [X0: $i] :
( defined(h,domain(codomain(X0)))
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_84,c_264412]) ).
tcf(c_267089,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(X1))
| ~ identity_map(X1)
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_264412]) ).
tcf(c_267090,plain,
! [X0: $i,X1: $i] :
( defined(h,codomain(X1))
| ~ defined(g,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_264412]) ).
tcf(c_267091,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_264412]) ).
tcf(c_267098,plain,
! [X0: $i] :
( defined(h,h)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_264412]) ).
tcf(c_267102,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(d)
| ~ defined(g,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_264412]) ).
tcf(c_267106,plain,
! [X0: $i] :
( defined(h,g)
| ~ identity_map(X0)
| ~ defined(g,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_264412]) ).
tcf(c_267107,plain,
! [X0: $i] :
( defined(h,codomain(h))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_264412]) ).
tcf(c_267108,plain,
! [X0: $i] :
( defined(h,codomain(g))
| ~ defined(g,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_264412]) ).
tcf(c_267109,plain,
! [X0: $i] :
( defined(h,codomain(g))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_264412]) ).
tcf(c_267110,plain,
! [X0: $i] :
( defined(h,compose(codomain(d),g))
| ~ defined(g,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_264412]) ).
tcf(c_267111,plain,
! [X0: $i] :
( defined(h,compose(codomain(d),g))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_264412]) ).
tcf(c_267112,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_264412]) ).
tcf(c_267113,plain,
! [X0: $i] :
( defined(h,codomain(d))
| ~ defined(g,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_264412]) ).
tcf(c_267115,plain,
! [X0: $i] :
( defined(h,domain(h))
| ~ defined(g,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_264412]) ).
tcf(c_267116,plain,
! [X0: $i] :
( defined(h,domain(h))
| ~ defined(g,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_264412]) ).
tcf(c_267119,plain,
! [X0: $i,X1: $i] :
( defined(h,domain(compose(X0,codomain(X1))))
| ~ defined(g,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_264412]) ).
tcf(c_267120,plain,
! [X0: $i,X1: $i] :
( defined(h,X0)
| ~ defined(X0,X1)
| ~ defined(g,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_264412]) ).
tcf(c_267122,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(X0,X1))
| ~ defined(g,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_264412]) ).
tcf(c_267124,plain,
( defined(h,d)
| ~ defined(g,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_264412]) ).
tcf(c_267127,plain,
( defined(h,g)
| ~ defined(g,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_264412]) ).
tcf(c_267128,plain,
( defined(h,h)
| ~ defined(g,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_264412]) ).
tcf(c_267131,plain,
( defined(h,domain(c))
| ~ identity_map(d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_258373,c_264412]) ).
tcf(c_267133,plain,
! [X0: $i] :
( defined(h,compose(codomain(d),h))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_264412]) ).
tcf(c_267135,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254670,c_264412]) ).
tcf(c_267136,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254755,c_264412]) ).
tcf(c_267137,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_264412]) ).
tcf(c_267138,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(g,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_264412]) ).
tcf(c_267296,plain,
! [X0: $i] :
( defined(c,domain(codomain(X0)))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_84,c_264787]) ).
tcf(c_267298,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(X1))
| ~ identity_map(X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_264787]) ).
tcf(c_267299,plain,
! [X0: $i,X1: $i] :
( defined(c,codomain(X1))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_264787]) ).
tcf(c_267300,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_264787]) ).
tcf(c_267302,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_264787]) ).
tcf(c_267307,plain,
! [X0: $i] :
( defined(c,h)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_264787]) ).
tcf(c_267308,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_264787]) ).
tcf(c_267309,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246278,c_264787]) ).
tcf(c_267310,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_264787]) ).
tcf(c_267311,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258558,c_264787]) ).
tcf(c_267312,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258567,c_264787]) ).
tcf(c_267313,plain,
! [X0: $i] :
( defined(c,a)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_264787]) ).
tcf(c_267315,plain,
! [X0: $i] :
( defined(c,g)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_264787]) ).
tcf(c_267316,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_264787]) ).
tcf(c_267317,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_264787]) ).
tcf(c_267318,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_264787]) ).
tcf(c_267319,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_264787]) ).
tcf(c_267320,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_264787]) ).
tcf(c_267321,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_264787]) ).
tcf(c_267322,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_264787]) ).
tcf(c_267324,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_264787]) ).
tcf(c_267325,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_264787]) ).
tcf(c_267326,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246276,c_264787]) ).
tcf(c_267327,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258565,c_264787]) ).
tcf(c_267328,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(X0,codomain(X1))))
| ~ defined(b,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_264787]) ).
tcf(c_267329,plain,
! [X0: $i,X1: $i] :
( defined(c,X0)
| ~ defined(X0,X1)
| ~ defined(b,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_264787]) ).
tcf(c_267331,plain,
! [X0: $i,X1: $i] :
( defined(c,compose(X0,X1))
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_264787]) ).
tcf(c_267332,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_258371,c_264787]) ).
tcf(c_267333,plain,
( defined(c,d)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_264787]) ).
tcf(c_267336,plain,
( defined(c,g)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_264787]) ).
tcf(c_267337,plain,
( defined(c,h)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_264787]) ).
tcf(c_267340,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258373,c_264787]) ).
tcf(c_267341,plain,
( defined(c,domain(c))
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_263142,c_264787]) ).
tcf(c_267342,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_264787]) ).
tcf(c_267346,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_264787]) ).
tcf(c_267347,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(b,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_264787]) ).
tcf(c_267506,plain,
( defined(c,domain(codomain(h)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_264805]) ).
tcf(c_267508,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_264805]) ).
tcf(c_267509,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_264805]) ).
tcf(c_267511,plain,
( defined(c,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_246238,c_264805]) ).
tcf(c_267512,plain,
( defined(c,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237761,c_264805]) ).
tcf(c_267513,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246270,c_264805]) ).
tcf(c_267515,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237759,c_264805]) ).
tcf(c_267517,plain,
( defined(c,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237760,c_264805]) ).
tcf(c_267524,plain,
( defined(c,codomain(d))
| ~ defined(b,d)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_264805]) ).
tcf(c_267525,plain,
( defined(c,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_264805]) ).
tcf(c_267526,plain,
( defined(c,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_264805]) ).
tcf(c_267528,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(h))))
| ~ defined(b,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_264805]) ).
tcf(c_267529,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_264805]) ).
tcf(c_267546,plain,
( defined(c,codomain(d))
| ~ defined(b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267524,c_85]) ).
tcf(c_267658,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(codomain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263632,c_81]) ).
tcf(c_267664,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267658,c_83]) ).
tcf(c_267672,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(codomain(h))
| ~ defined(X1,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263636,c_81]) ).
tcf(c_267673,plain,
! [X0: $i] :
( defined(X0,codomain(codomain(h)))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_234798]) ).
tcf(c_267674,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_234369]) ).
tcf(c_267675,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_264787]) ).
tcf(c_267676,plain,
! [X0: $i] :
( defined(h,codomain(h))
| ~ defined(g,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_264412]) ).
tcf(c_267677,plain,
! [X0: $i] :
( defined(g,codomain(h))
| ~ defined(h,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_260896]) ).
tcf(c_267678,plain,
! [X0: $i] :
( defined(d,codomain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_245443]) ).
tcf(c_267679,plain,
! [X0: $i] :
( defined(b,codomain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_235210]) ).
tcf(c_267680,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(d,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_235201]) ).
tcf(c_267681,plain,
! [X0: $i] :
( defined(b,codomain(h))
| ~ defined(c,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_235191]) ).
tcf(c_267682,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_234516]) ).
tcf(c_267686,plain,
( defined(d,codomain(h))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263636,c_261117]) ).
tcf(c_267687,plain,
( defined(c,codomain(h))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263636,c_260955]) ).
tcf(c_267688,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_263636,c_234348]) ).
tcf(c_267692,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),g) ),
inference(superposition,[status(thm)],[c_263636,c_234235]) ).
tcf(c_267693,plain,
( defined(g,codomain(h))
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_263636,c_234456]) ).
tcf(c_267694,plain,
( defined(h,codomain(h))
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_263636,c_234446]) ).
tcf(c_267695,plain,
( defined(g,codomain(h))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_263636,c_255768]) ).
tcf(c_267697,plain,
( defined(codomain(g),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_263204]) ).
tcf(c_267698,plain,
( defined(codomain(h),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_263167]) ).
tcf(c_267699,plain,
( defined(d,codomain(codomain(h)))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_244426]) ).
tcf(c_267700,plain,
( defined(d,codomain(h))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_244305]) ).
tcf(c_267701,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_235792]) ).
tcf(c_267702,plain,
( defined(b,codomain(codomain(h)))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_234782]) ).
tcf(c_267703,plain,
( defined(b,codomain(h))
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263636,c_234366]) ).
tcf(c_267704,plain,
( defined(domain(c),codomain(h))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_257986]) ).
tcf(c_267705,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_235829]) ).
tcf(c_267706,plain,
( defined(c,codomain(codomain(h)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_234754]) ).
tcf(c_267707,plain,
( defined(b,codomain(codomain(h)))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_234526]) ).
tcf(c_267708,plain,
( defined(c,codomain(h))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_234363]) ).
tcf(c_267709,plain,
( defined(b,codomain(h))
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_234360]) ).
tcf(c_267710,plain,
( defined(h,codomain(h))
| ~ defined(g,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_262651]) ).
tcf(c_267711,plain,
( defined(g,codomain(h))
| ~ defined(h,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_262627]) ).
tcf(c_267712,plain,
( defined(b,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_250355]) ).
tcf(c_267713,plain,
( defined(c,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_250336]) ).
tcf(c_267714,plain,
( defined(b,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_250324]) ).
tcf(c_267715,plain,
( defined(d,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_250308]) ).
tcf(c_267716,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_249987]) ).
tcf(c_267720,plain,
( defined(d,codomain(h))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263636,c_260700]) ).
tcf(c_267721,plain,
( defined(c,codomain(h))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263636,c_260693]) ).
tcf(c_267722,plain,
( defined(a,codomain(h))
| ~ identity_map(b)
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263636,c_235781]) ).
tcf(c_267736,plain,
( defined(h,codomain(h))
| ~ defined(g,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_262639]) ).
tcf(c_267738,plain,
( defined(g,codomain(h))
| ~ defined(h,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_262570]) ).
tcf(c_267740,plain,
( defined(d,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_250867]) ).
tcf(c_267741,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ defined(X0,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_250593]) ).
tcf(c_267742,plain,
( defined(b,codomain(h))
| ~ defined(c,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_250457]) ).
tcf(c_267743,plain,
( defined(c,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_250444]) ).
tcf(c_267744,plain,
( defined(b,codomain(h))
| ~ defined(d,h)
| ~ defined(codomain(g),g) ),
inference(superposition,[status(thm)],[c_263636,c_250368]) ).
tcf(c_267755,plain,
( defined(g,codomain(h))
| ~ identity_map(a)
| ~ defined(domain(a),g) ),
inference(superposition,[status(thm)],[c_263636,c_237155]) ).
tcf(c_267756,plain,
( defined(h,codomain(h))
| ~ identity_map(a)
| ~ defined(domain(a),g) ),
inference(superposition,[status(thm)],[c_263636,c_237017]) ).
tcf(c_267757,plain,
( defined(g,codomain(h))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_254774]) ).
tcf(c_267862,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267672,c_83]) ).
tcf(c_268030,plain,
! [X0: $i] :
( product(h,c,compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_237924,c_55264]) ).
tcf(c_268040,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,compose(X2,d))
| ~ identity_map(X2)
| ~ defined(X2,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_268030,c_237606]) ).
tcf(c_268041,plain,
! [X0: $i] :
( defined(compose(X0,d),domain(c))
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268030,c_260630]) ).
tcf(c_268042,plain,
! [X0: $i] :
( defined(codomain(h),compose(X0,d))
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268030,c_258349]) ).
tcf(c_268043,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),compose(X2,d))
| ~ identity_map(X2)
| ~ defined(c,X1)
| ~ defined(X2,d)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_268030,c_237395]) ).
tcf(c_268044,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),compose(X2,d))
| ~ identity_map(X2)
| ~ defined(c,X1)
| ~ defined(X2,d)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_268030,c_237220]) ).
tcf(c_268045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(X0,h,X3)
| ~ product(X0,compose(X1,d),X2) ),
inference(superposition,[status(thm)],[c_268030,c_80]) ).
tcf(c_268046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_268030,c_77]) ).
tcf(c_268047,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(X0,h,X2)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_268030,c_79]) ).
tcf(c_268048,plain,
! [X0: $i,X1: $i] :
( ( compose(X1,d) = X0 )
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_268030,c_90]) ).
tcf(c_268049,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_268030,c_78]) ).
tcf(c_268050,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X2)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(c,X1,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_268030,c_76]) ).
tcf(c_268051,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_268030,c_75]) ).
tcf(c_268053,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268030,c_234379]) ).
tcf(c_268119,plain,
( defined(c,domain(codomain(g)))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_84,c_265673]) ).
tcf(c_268121,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265673]) ).
tcf(c_268122,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265673]) ).
tcf(c_268126,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(h)
| ~ defined(b,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_265673]) ).
tcf(c_268133,plain,
( defined(c,codomain(h))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_236325,c_265673]) ).
tcf(c_268137,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_237509,c_265673]) ).
tcf(c_268140,plain,
( defined(c,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_265673]) ).
tcf(c_268141,plain,
( defined(c,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_265673]) ).
tcf(c_268143,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(g))))
| ~ defined(b,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_265673]) ).
tcf(c_268144,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ defined(b,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265673]) ).
tcf(c_268147,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_265673]) ).
tcf(c_268159,plain,
( defined(c,codomain(h))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268133,c_258357]) ).
tcf(c_268169,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268147,c_258357]) ).
tcf(c_268172,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268137,c_258357]) ).
tcf(c_268293,plain,
( defined(c,domain(codomain(g)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_265687]) ).
tcf(c_268295,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265687]) ).
tcf(c_268296,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265687]) ).
tcf(c_268314,plain,
( defined(c,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_265687]) ).
tcf(c_268315,plain,
( defined(c,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_265687]) ).
tcf(c_268317,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(g))))
| ~ defined(b,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_265687]) ).
tcf(c_268318,plain,
! [X0: $i] :
( defined(c,compose(g,X0))
| ~ defined(b,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265687]) ).
tcf(c_268420,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(h))
| ~ defined(g,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_264421,c_81]) ).
tcf(c_268421,plain,
( defined(g,codomain(h))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_264421,c_255768]) ).
tcf(c_268426,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268420,c_83]) ).
tcf(c_268434,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(codomain(d))
| ~ defined(g,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_264426,c_81]) ).
tcf(c_268435,plain,
( defined(g,codomain(d))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_264426,c_255768]) ).
tcf(c_268438,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268434,c_83]) ).
tcf(c_268446,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(h)
| ~ defined(b,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_264775,c_81]) ).
tcf(c_268449,plain,
( defined(domain(c),g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_264775,c_246376]) ).
tcf(c_268450,plain,
( defined(domain(c),d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_264775,c_246274]) ).
tcf(c_268452,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_264775,c_263167]) ).
tcf(c_268453,plain,
( defined(d,codomain(h))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_264775,c_244426]) ).
tcf(c_268456,plain,
( defined(b,codomain(h))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_264775,c_234782]) ).
tcf(c_268480,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(h)
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_264799,c_81]) ).
tcf(c_268483,plain,
( defined(domain(c),g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_246376]) ).
tcf(c_268484,plain,
( defined(domain(c),d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_246274]) ).
tcf(c_268486,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_263167]) ).
tcf(c_268491,plain,
( defined(b,h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_234366]) ).
tcf(c_268496,plain,
( defined(b,codomain(d))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_249853]) ).
tcf(c_268497,plain,
( defined(d,codomain(d))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_264799,c_249850]) ).
tcf(c_268516,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_265544,c_81]) ).
tcf(c_268518,plain,
( defined(h,domain(d))
| ~ identity_map(d)
| ~ defined(g,h) ),
inference(superposition,[status(thm)],[c_265544,c_264412]) ).
tcf(c_268519,plain,
( defined(g,domain(d))
| ~ identity_map(d)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_265544,c_260896]) ).
tcf(c_268520,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_265544,c_245443]) ).
tcf(c_268524,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_265544,c_234516]) ).
tcf(c_268526,plain,
( defined(h,domain(d))
| ~ identity_map(d)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_265544,c_264339]) ).
tcf(c_268527,plain,
( defined(g,domain(d))
| ~ identity_map(d)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_265544,c_260935]) ).
tcf(c_268528,plain,
( defined(codomain(d),domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_265544,c_260719]) ).
tcf(c_268529,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_265544,c_245480]) ).
tcf(c_268530,plain,
( defined(d,domain(d))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_265544,c_244979]) ).
tcf(c_268533,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_265544,c_236811]) ).
tcf(c_268557,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268516,c_82]) ).
tcf(c_268561,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_237927,c_56337]) ).
tcf(c_268571,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,h) ),
inference(superposition,[status(thm)],[c_268561,c_237606]) ).
tcf(c_268572,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268561,c_260630]) ).
tcf(c_268573,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268561,c_258349]) ).
tcf(c_268574,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(c,X1)
| ~ defined(X2,d)
| ~ product(d,X1,c)
| ~ product(h,g,X0) ),
inference(superposition,[status(thm)],[c_268561,c_237395]) ).
tcf(c_268575,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X1),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(c,X1)
| ~ defined(X2,d)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_268561,c_237220]) ).
tcf(c_268576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(X0,h,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_268561,c_80]) ).
tcf(c_268577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_268561,c_77]) ).
tcf(c_268578,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,d)
| ~ defined(X0,X2)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_268561,c_79]) ).
tcf(c_268579,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(h,c,X0) ),
inference(superposition,[status(thm)],[c_268561,c_90]) ).
tcf(c_268580,plain,
! [X0: $i,X1: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_268561,c_78]) ).
tcf(c_268581,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,d)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_268561,c_76]) ).
tcf(c_268582,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_268561,c_75]) ).
tcf(c_268584,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268561,c_234379]) ).
tcf(c_268790,plain,
( defined(c,domain(codomain(d)))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_84,c_265762]) ).
tcf(c_268792,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265762]) ).
tcf(c_268793,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265762]) ).
tcf(c_268812,plain,
( defined(c,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_265762]) ).
tcf(c_268813,plain,
( defined(c,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_265762]) ).
tcf(c_268814,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(b,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_265762]) ).
tcf(c_268816,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265762]) ).
tcf(c_268850,plain,
( defined(c,domain(domain(h)))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_84,c_265799]) ).
tcf(c_268851,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265799]) ).
tcf(c_268852,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,a)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234236,c_265799]) ).
tcf(c_268853,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265799]) ).
tcf(c_268854,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_239326,c_265799]) ).
tcf(c_268855,plain,
( defined(c,a)
| ~ defined(h,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234487,c_265799]) ).
tcf(c_268856,plain,
( defined(c,h)
| ~ defined(h,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260259,c_265799]) ).
tcf(c_268857,plain,
( defined(c,h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234489,c_265799]) ).
tcf(c_268858,plain,
( defined(c,g)
| ~ defined(h,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_248568,c_265799]) ).
tcf(c_268859,plain,
( defined(c,g)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234488,c_265799]) ).
tcf(c_268860,plain,
( defined(c,c)
| ~ defined(h,a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_265799]) ).
tcf(c_268861,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_239384,c_265799]) ).
tcf(c_268862,plain,
( defined(c,d)
| ~ defined(h,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_258809,c_265799]) ).
tcf(c_268863,plain,
( defined(c,d)
| ~ defined(h,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_246617,c_265799]) ).
tcf(c_268865,plain,
( defined(c,codomain(h))
| ~ defined(b,a)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_265799]) ).
tcf(c_268866,plain,
( defined(c,codomain(h))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_265799]) ).
tcf(c_268867,plain,
( defined(c,codomain(g))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_265799]) ).
tcf(c_268868,plain,
( defined(c,codomain(g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_265799]) ).
tcf(c_268869,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_265799]) ).
tcf(c_268870,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_265799]) ).
tcf(c_268871,plain,
( defined(c,codomain(d))
| ~ defined(b,a)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_265799]) ).
tcf(c_268872,plain,
( defined(c,codomain(d))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_265799]) ).
tcf(c_268876,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,a)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_265799]) ).
tcf(c_268877,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(b,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254948,c_265799]) ).
tcf(c_268878,plain,
( defined(c,a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_254944,c_265799]) ).
tcf(c_268879,plain,
( defined(c,h)
| ~ defined(g,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260774,c_265799]) ).
tcf(c_268880,plain,
( defined(c,h)
| ~ defined(g,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255414,c_265799]) ).
tcf(c_268881,plain,
( defined(c,g)
| ~ defined(g,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255415,c_265799]) ).
tcf(c_268882,plain,
( defined(c,g)
| ~ defined(g,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255393,c_265799]) ).
tcf(c_268883,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(h))))
| ~ defined(b,a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_265799]) ).
tcf(c_268884,plain,
( defined(c,d)
| ~ defined(g,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260775,c_265799]) ).
tcf(c_268885,plain,
( defined(c,d)
| ~ defined(g,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255394,c_265799]) ).
tcf(c_268886,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_265799]) ).
tcf(c_269087,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(b,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_265845,c_81]) ).
tcf(c_269090,plain,
( defined(domain(d),g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_265845,c_246376]) ).
tcf(c_269091,plain,
( defined(domain(d),d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_265845,c_246274]) ).
tcf(c_269116,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_265889,c_81]) ).
tcf(c_269119,plain,
( defined(domain(d),g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_265889,c_246376]) ).
tcf(c_269120,plain,
( defined(domain(d),d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_265889,c_246274]) ).
tcf(c_269145,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_266094,c_81]) ).
tcf(c_269147,plain,
( defined(h,domain(d))
| ~ identity_map(d)
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_266094,c_264412]) ).
tcf(c_269148,plain,
( defined(g,domain(d))
| ~ identity_map(d)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_266094,c_260896]) ).
tcf(c_269149,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_266094,c_245443]) ).
tcf(c_269153,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_266094,c_234516]) ).
tcf(c_269183,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269145,c_82]) ).
tcf(c_269191,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_266620,c_81]) ).
tcf(c_269193,plain,
( defined(b,codomain(d))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_266620,c_234525]) ).
tcf(c_269197,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269191,c_83]) ).
tcf(c_269236,plain,
! [X0: $i] :
( product(X0,c,compose(X0,d))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_238061,c_57275]) ).
tcf(c_269246,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,compose(X1,d))
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_269236,c_237606]) ).
tcf(c_269247,plain,
! [X0: $i] :
( defined(compose(X0,d),domain(c))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_269236,c_260630]) ).
tcf(c_269248,plain,
! [X0: $i] :
( defined(codomain(X0),compose(X0,d))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_269236,c_258349]) ).
tcf(c_269249,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),compose(X0,d))
| ~ identity_map(h)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_269236,c_237395]) ).
tcf(c_269250,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),compose(X0,d))
| ~ identity_map(h)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_269236,c_237220]) ).
tcf(c_269251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ product(X0,X1,X3)
| ~ product(X0,compose(X1,d),X2) ),
inference(superposition,[status(thm)],[c_269236,c_80]) ).
tcf(c_269252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X3,X2)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_269236,c_77]) ).
tcf(c_269253,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ product(X0,X1,X2)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_269236,c_79]) ).
tcf(c_269254,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,d) = X1 )
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_269236,c_90]) ).
tcf(c_269255,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_269236,c_78]) ).
tcf(c_269256,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(c,X1,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_269236,c_76]) ).
tcf(c_269257,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_269236,c_75]) ).
tcf(c_269259,plain,
( defined(a,compose(b,d))
| ~ identity_map(h)
| ~ defined(c,c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_269236,c_234272]) ).
tcf(c_269260,plain,
( defined(compose(codomain(d),g),compose(c,d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_269236,c_237510]) ).
tcf(c_269261,plain,
! [X0: $i] :
( product(compose(codomain(d),g),compose(c,d),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_269236,c_237506]) ).
tcf(c_269262,plain,
! [X0: $i] :
( product(g,compose(c,d),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_269236,c_234651]) ).
tcf(c_269263,plain,
! [X0: $i] :
( product(h,compose(c,d),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_269236,c_234650]) ).
tcf(c_269264,plain,
( defined(g,compose(c,d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_269236,c_234274]) ).
tcf(c_269265,plain,
( defined(h,compose(c,d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_269236,c_234273]) ).
tcf(c_269266,plain,
! [X0: $i] :
( defined(X0,compose(domain(X0),d))
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_269236,c_234276]) ).
tcf(c_269267,plain,
( ( compose(h,d) = d )
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_269236,c_234379]) ).
tcf(c_269268,plain,
( ( compose(g,d) = d )
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_269236,c_234380]) ).
tcf(c_269269,plain,
( ( compose(codomain(c),d) = c )
| ~ identity_map(h)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_269236,c_234383]) ).
tcf(c_269270,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(c,c)
| ~ defined(X0,compose(d,d)) ),
inference(superposition,[status(thm)],[c_269236,c_237399]) ).
tcf(c_269271,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(c,c)
| ~ defined(X0,compose(d,d)) ),
inference(superposition,[status(thm)],[c_269236,c_237224]) ).
tcf(c_269274,plain,
( ( compose(domain(h),d) = c )
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_269236,c_254960]) ).
tcf(c_269275,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,h),d) = X1 )
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(X0,d,X1)
| ~ defined(compose(X0,h),d) ),
inference(superposition,[status(thm)],[c_269236,c_237608]) ).
tcf(c_269276,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(compose(c,X0),d))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_269236,c_237400]) ).
tcf(c_269277,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,compose(compose(c,X0),d),X2)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_269236,c_237396]) ).
tcf(c_269278,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(compose(c,X0),d))
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_269236,c_237225]) ).
tcf(c_269279,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,compose(compose(c,X0),d),X2)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_269236,c_237221]) ).
tcf(c_269280,plain,
( ( compose(compose(codomain(d),g),d) = d )
| ~ identity_map(h)
| ~ defined(compose(codomain(d),g),d) ),
inference(superposition,[status(thm)],[c_269236,c_237508]) ).
tcf(c_269606,plain,
( defined(c,domain(domain(h)))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_84,c_265829]) ).
tcf(c_269607,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265829]) ).
tcf(c_269608,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234236,c_265829]) ).
tcf(c_269609,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265829]) ).
tcf(c_269610,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_239326,c_265829]) ).
tcf(c_269611,plain,
( defined(c,a)
| ~ defined(h,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_265829]) ).
tcf(c_269612,plain,
( defined(c,h)
| ~ defined(h,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260259,c_265829]) ).
tcf(c_269613,plain,
( defined(c,h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234489,c_265829]) ).
tcf(c_269614,plain,
( defined(c,g)
| ~ defined(h,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_248568,c_265829]) ).
tcf(c_269615,plain,
( defined(c,g)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234488,c_265829]) ).
tcf(c_269616,plain,
( defined(c,c)
| ~ defined(h,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_243882,c_265829]) ).
tcf(c_269617,plain,
( defined(c,c)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_239384,c_265829]) ).
tcf(c_269618,plain,
( defined(c,d)
| ~ defined(h,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_258809,c_265829]) ).
tcf(c_269619,plain,
( defined(c,d)
| ~ defined(h,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_246617,c_265829]) ).
tcf(c_269621,plain,
( defined(c,codomain(h))
| ~ defined(b,c)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_265829]) ).
tcf(c_269622,plain,
( defined(c,codomain(h))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_265829]) ).
tcf(c_269623,plain,
( defined(c,codomain(g))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_265829]) ).
tcf(c_269624,plain,
( defined(c,codomain(g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_265829]) ).
tcf(c_269625,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_265829]) ).
tcf(c_269626,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_265829]) ).
tcf(c_269627,plain,
( defined(c,codomain(d))
| ~ defined(b,c)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_265829]) ).
tcf(c_269628,plain,
( defined(c,codomain(d))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_265829]) ).
tcf(c_269631,plain,
( defined(c,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_254754,c_265829]) ).
tcf(c_269632,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_265829]) ).
tcf(c_269633,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254948,c_265829]) ).
tcf(c_269635,plain,
( defined(c,h)
| ~ defined(g,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260774,c_265829]) ).
tcf(c_269636,plain,
( defined(c,h)
| ~ defined(g,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255414,c_265829]) ).
tcf(c_269637,plain,
( defined(c,g)
| ~ defined(g,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255415,c_265829]) ).
tcf(c_269638,plain,
( defined(c,g)
| ~ defined(g,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255393,c_265829]) ).
tcf(c_269639,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,domain(h))))
| ~ defined(b,c)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_265829]) ).
tcf(c_269640,plain,
( defined(c,d)
| ~ defined(g,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260775,c_265829]) ).
tcf(c_269641,plain,
( defined(c,d)
| ~ defined(g,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255394,c_265829]) ).
tcf(c_269642,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_265829]) ).
tcf(c_269932,plain,
! [X0: $i] :
( defined(d,domain(codomain(X0)))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_84,c_265859]) ).
tcf(c_269934,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(X1))
| ~ identity_map(X1)
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_265859]) ).
tcf(c_269935,plain,
! [X0: $i,X1: $i] :
( defined(d,codomain(X1))
| ~ defined(b,X0)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_265859]) ).
tcf(c_269936,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234347,c_265859]) ).
tcf(c_269938,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234469,c_265859]) ).
tcf(c_269943,plain,
! [X0: $i] :
( defined(d,h)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237761,c_265859]) ).
tcf(c_269945,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246278,c_265859]) ).
tcf(c_269946,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_265859]) ).
tcf(c_269948,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258567,c_265859]) ).
tcf(c_269949,plain,
! [X0: $i] :
( defined(d,a)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_265859]) ).
tcf(c_269951,plain,
! [X0: $i] :
( defined(d,g)
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_237760,c_265859]) ).
tcf(c_269952,plain,
! [X0: $i] :
( defined(d,codomain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263636,c_265859]) ).
tcf(c_269953,plain,
! [X0: $i] :
( defined(d,codomain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236325,c_265859]) ).
tcf(c_269954,plain,
! [X0: $i] :
( defined(d,codomain(g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249114,c_265859]) ).
tcf(c_269955,plain,
! [X0: $i] :
( defined(d,codomain(g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_236326,c_265859]) ).
tcf(c_269956,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(domain(codomain(X0)),d) ),
inference(superposition,[status(thm)],[c_237655,c_265859]) ).
tcf(c_269957,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_237509,c_265859]) ).
tcf(c_269958,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_263604,c_265859]) ).
tcf(c_269959,plain,
! [X0: $i] :
( defined(d,codomain(d))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_249084,c_265859]) ).
tcf(c_269961,plain,
! [X0: $i] :
( defined(d,domain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_255131,c_265859]) ).
tcf(c_269962,plain,
! [X0: $i] :
( defined(d,domain(h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_254789,c_265859]) ).
tcf(c_269963,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_246276,c_265859]) ).
tcf(c_269964,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_258565,c_265859]) ).
tcf(c_269965,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(X0,codomain(X1))))
| ~ defined(b,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_257269,c_265859]) ).
tcf(c_269966,plain,
! [X0: $i,X1: $i] :
( defined(d,X0)
| ~ defined(X0,X1)
| ~ defined(b,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_259762,c_265859]) ).
tcf(c_269968,plain,
! [X0: $i,X1: $i] :
( defined(d,compose(X0,X1))
| ~ defined(b,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_258358,c_265859]) ).
tcf(c_269970,plain,
( defined(d,d)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258375,c_265859]) ).
tcf(c_269973,plain,
( defined(d,g)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258723,c_265859]) ).
tcf(c_269974,plain,
( defined(d,h)
| ~ defined(b,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_258724,c_265859]) ).
tcf(c_269979,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_266094,c_265859]) ).
tcf(c_269980,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_265544,c_265859]) ).
tcf(c_269981,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),h))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_264825,c_265859]) ).
tcf(c_269985,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(b,codomain(X0))
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236672,c_265859]) ).
tcf(c_269986,plain,
! [X0: $i,X1: $i] :
( defined(d,X1)
| ~ defined(b,domain(X0))
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236671,c_265859]) ).
tcf(c_270297,plain,
( defined(d,domain(codomain(h)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_265897]) ).
tcf(c_270299,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265897]) ).
tcf(c_270300,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265897]) ).
tcf(c_270302,plain,
( defined(d,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_246238,c_265897]) ).
tcf(c_270303,plain,
( defined(d,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237761,c_265897]) ).
tcf(c_270306,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237759,c_265897]) ).
tcf(c_270308,plain,
( defined(d,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_237760,c_265897]) ).
tcf(c_270317,plain,
( defined(d,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_265897]) ).
tcf(c_270318,plain,
( defined(d,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_265897]) ).
tcf(c_270320,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(h))))
| ~ defined(b,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_265897]) ).
tcf(c_270321,plain,
! [X0: $i] :
( defined(d,compose(h,X0))
| ~ defined(b,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265897]) ).
tcf(c_270324,plain,
( defined(d,domain(d))
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_265544,c_265897]) ).
tcf(c_270427,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(d))
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_266621,c_81]) ).
tcf(c_270431,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270427,c_83]) ).
tcf(c_270439,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(d))
| ~ defined(h,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_266629,c_81]) ).
tcf(c_270440,plain,
( defined(h,codomain(d))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_266629,c_260765]) ).
tcf(c_270443,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,g)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270439,c_83]) ).
tcf(c_270451,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_267028,c_81]) ).
tcf(c_270454,plain,
( defined(domain(d),g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267028,c_246376]) ).
tcf(c_270455,plain,
( defined(domain(d),d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267028,c_246274]) ).
tcf(c_270460,plain,
( defined(c,h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267028,c_234363]) ).
tcf(c_270465,plain,
( defined(c,codomain(g))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267028,c_250489]) ).
tcf(c_270484,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(h)
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_267030,c_81]) ).
tcf(c_270487,plain,
( defined(domain(b),g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267030,c_246376]) ).
tcf(c_270488,plain,
( defined(domain(b),d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_267030,c_246274]) ).
tcf(c_270552,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(codomain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_267686,c_81]) ).
tcf(c_270554,plain,
( defined(b,codomain(h))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_267686,c_234525]) ).
tcf(c_270556,plain,
( defined(domain(d),h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_267686,c_251612]) ).
tcf(c_270558,plain,
( defined(domain(b),h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_267686,c_253531]) ).
tcf(c_270559,plain,
( defined(domain(c),h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_267686,c_251615]) ).
tcf(c_270568,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270552,c_83]) ).
tcf(c_270616,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_238063,c_757,c_5658]) ).
tcf(c_270626,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,d)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_270616,c_237606]) ).
tcf(c_270628,plain,
! [X0: $i] :
( defined(codomain(X0),d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_258349]) ).
tcf(c_270629,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_270616,c_237395]) ).
tcf(c_270630,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_270616,c_237220]) ).
tcf(c_270631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ product(X0,d,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_270616,c_80]) ).
tcf(c_270632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,X2)
| ~ identity_map(h)
| ~ identity_map(X3)
| ~ defined(X3,d)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_270616,c_77]) ).
tcf(c_270633,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(X1,d)
| ~ defined(X0,d)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_270616,c_79]) ).
tcf(c_270634,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_270616,c_90]) ).
tcf(c_270635,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_78]) ).
tcf(c_270636,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(h)
| ~ identity_map(X2)
| ~ defined(d,X0)
| ~ defined(X2,d)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_270616,c_76]) ).
tcf(c_270637,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_75]) ).
tcf(c_270638,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_74]) ).
tcf(c_270639,plain,
( defined(a,d)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(c,c)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_270616,c_234272]) ).
tcf(c_270646,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(h)
| ~ identity_map(domain(X0))
| ~ defined(X0,c)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_270616,c_234276]) ).
tcf(c_270650,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(c,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_237399]) ).
tcf(c_270651,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d)
| ~ defined(c,c)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_270616,c_237224]) ).
tcf(c_270655,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ identity_map(compose(X0,h))
| ~ product(X0,d,X1)
| ~ defined(compose(X0,h),d) ),
inference(superposition,[status(thm)],[c_270616,c_237608]) ).
tcf(c_270656,plain,
! [X0: $i,X1: $i] :
( defined(g,d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_270616,c_237400]) ).
tcf(c_270657,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,d,X2)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_270616,c_237396]) ).
tcf(c_270658,plain,
! [X0: $i,X1: $i] :
( defined(h,d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_270616,c_237225]) ).
tcf(c_270659,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,d,X2)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_270616,c_237221]) ).
tcf(c_270684,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(h)
| ~ defined(X0,c)
| ~ defined(domain(X0),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270646,c_82]) ).
tcf(c_271002,plain,
( defined(d,domain(codomain(g)))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_84,c_265909]) ).
tcf(c_271004,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265909]) ).
tcf(c_271005,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,h)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265909]) ).
tcf(c_271009,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(h)
| ~ defined(b,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258645,c_265909]) ).
tcf(c_271020,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_237509,c_265909]) ).
tcf(c_271023,plain,
( defined(d,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_265909]) ).
tcf(c_271024,plain,
( defined(d,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_265909]) ).
tcf(c_271026,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(g))))
| ~ defined(b,h)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_265909]) ).
tcf(c_271027,plain,
! [X0: $i] :
( defined(d,compose(g,X0))
| ~ defined(b,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265909]) ).
tcf(c_271031,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_264825,c_265909]) ).
tcf(c_271050,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271031,c_258357]) ).
tcf(c_271053,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271020,c_258357]) ).
tcf(c_271070,plain,
( defined(d,domain(codomain(g)))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_84,c_265921]) ).
tcf(c_271072,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265921]) ).
tcf(c_271073,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,d)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265921]) ).
tcf(c_271091,plain,
( defined(d,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(g),a) ),
inference(superposition,[status(thm)],[c_255131,c_265921]) ).
tcf(c_271092,plain,
( defined(d,domain(h))
| ~ defined(b,d)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_254789,c_265921]) ).
tcf(c_271094,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(g))))
| ~ defined(b,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_257269,c_265921]) ).
tcf(c_271095,plain,
! [X0: $i] :
( defined(d,compose(g,X0))
| ~ defined(b,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265921]) ).
tcf(c_271125,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(codomain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_267687,c_81]) ).
tcf(c_271131,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271125,c_83]) ).
tcf(c_271139,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(codomain(h))
| ~ defined(h,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_267695,c_81]) ).
tcf(c_271140,plain,
( defined(h,codomain(h))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_267695,c_260765]) ).
tcf(c_271141,plain,
( defined(domain(g),h)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_267695,c_251612]) ).
tcf(c_271143,plain,
( defined(domain(h),h)
| ~ defined(h,g) ),
inference(light_normalisation,[status(thm)],[c_271141,c_255390]) ).
tcf(c_271148,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,g)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271139,c_83]) ).
tcf(c_271161,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268449,c_263204]) ).
tcf(c_271167,plain,
( defined(b,g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268449,c_234366]) ).
tcf(c_271174,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_268450,c_81]) ).
tcf(c_271177,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268450,c_239225]) ).
tcf(c_271178,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268450,c_239217]) ).
tcf(c_271187,plain,
( defined(b,d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268450,c_234366]) ).
tcf(c_271219,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268483,c_263204]) ).
tcf(c_271225,plain,
( defined(b,g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268483,c_234366]) ).
tcf(c_271228,plain,
! [X0: $i] :
( product(X0,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_238064,c_60231]) ).
tcf(c_271238,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,X1)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_271228,c_237606]) ).
tcf(c_271239,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_271228,c_260630]) ).
tcf(c_271241,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_271228,c_237395]) ).
tcf(c_271242,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X2)
| ~ defined(X0,d)
| ~ product(d,X2,c)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_271228,c_237220]) ).
tcf(c_271243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_271228,c_80]) ).
tcf(c_271244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X3,X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_271228,c_77]) ).
tcf(c_271245,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X1,d)
| ~ defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_271228,c_79]) ).
tcf(c_271246,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_271228,c_90]) ).
tcf(c_271248,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X2,d)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_271228,c_76]) ).
tcf(c_271249,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_271228,c_75]) ).
tcf(c_271250,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_271228,c_74]) ).
tcf(c_271253,plain,
! [X0: $i] :
( product(compose(codomain(d),g),c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_271228,c_237506]) ).
tcf(c_271254,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_271228,c_234651]) ).
tcf(c_271255,plain,
! [X0: $i] :
( product(h,c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_271228,c_234650]) ).
tcf(c_271259,plain,
( ( h = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_271228,c_234379]) ).
tcf(c_271260,plain,
( ( d = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_271228,c_234380]) ).
tcf(c_271261,plain,
( ( codomain(c) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(c),d) ),
inference(superposition,[status(thm)],[c_271228,c_234383]) ).
tcf(c_271266,plain,
( ( domain(h) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_271228,c_254960]) ).
tcf(c_271267,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,h) = X1 )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(X0,d,X1)
| ~ defined(compose(X0,h),d) ),
inference(superposition,[status(thm)],[c_271228,c_237608]) ).
tcf(c_271268,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_271228,c_237400]) ).
tcf(c_271269,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_271228,c_237396]) ).
tcf(c_271270,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(d,X0,X1)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_271228,c_237225]) ).
tcf(c_271271,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(h,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1)
| ~ product(X1,c,X2)
| ~ defined(compose(c,X0),d) ),
inference(superposition,[status(thm)],[c_271228,c_237221]) ).
tcf(c_271272,plain,
( ( compose(codomain(d),g) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(compose(codomain(d),g),d) ),
inference(superposition,[status(thm)],[c_271228,c_237508]) ).
tcf(c_271578,plain,
( defined(d,domain(codomain(d)))
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_84,c_265946]) ).
tcf(c_271580,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_265946]) ).
tcf(c_271581,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,h)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_265946]) ).
tcf(c_271591,plain,
( defined(d,codomain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_265946]) ).
tcf(c_271592,plain,
( defined(d,codomain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_265946]) ).
tcf(c_271600,plain,
( defined(d,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_265946]) ).
tcf(c_271601,plain,
( defined(d,domain(h))
| ~ defined(b,h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_265946]) ).
tcf(c_271602,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(b,h)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_265946]) ).
tcf(c_271604,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_265946]) ).
tcf(c_271640,plain,
( defined(d,domain(domain(h)))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_84,c_266384]) ).
tcf(c_271641,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266384]) ).
tcf(c_271642,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,a)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234236,c_266384]) ).
tcf(c_271643,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266384]) ).
tcf(c_271644,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_239326,c_266384]) ).
tcf(c_271645,plain,
( defined(d,a)
| ~ defined(h,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234487,c_266384]) ).
tcf(c_271646,plain,
( defined(d,h)
| ~ defined(h,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260259,c_266384]) ).
tcf(c_271647,plain,
( defined(d,h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234489,c_266384]) ).
tcf(c_271648,plain,
( defined(d,g)
| ~ defined(h,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_248568,c_266384]) ).
tcf(c_271649,plain,
( defined(d,g)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_234488,c_266384]) ).
tcf(c_271650,plain,
( defined(d,c)
| ~ defined(h,a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_266384]) ).
tcf(c_271651,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_239384,c_266384]) ).
tcf(c_271652,plain,
( defined(d,d)
| ~ defined(h,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_258809,c_266384]) ).
tcf(c_271653,plain,
( defined(d,d)
| ~ defined(h,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_246617,c_266384]) ).
tcf(c_271655,plain,
( defined(d,codomain(h))
| ~ defined(b,a)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_266384]) ).
tcf(c_271656,plain,
( defined(d,codomain(h))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_266384]) ).
tcf(c_271657,plain,
( defined(d,codomain(g))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_266384]) ).
tcf(c_271658,plain,
( defined(d,codomain(g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_266384]) ).
tcf(c_271659,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_266384]) ).
tcf(c_271660,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_266384]) ).
tcf(c_271661,plain,
( defined(d,codomain(d))
| ~ defined(b,a)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_266384]) ).
tcf(c_271662,plain,
( defined(d,codomain(d))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_266384]) ).
tcf(c_271666,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,a)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_266384]) ).
tcf(c_271667,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(b,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254948,c_266384]) ).
tcf(c_271668,plain,
( defined(d,a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_254944,c_266384]) ).
tcf(c_271669,plain,
( defined(d,h)
| ~ defined(g,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260774,c_266384]) ).
tcf(c_271670,plain,
( defined(d,h)
| ~ defined(g,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255414,c_266384]) ).
tcf(c_271671,plain,
( defined(d,g)
| ~ defined(g,d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255415,c_266384]) ).
tcf(c_271672,plain,
( defined(d,g)
| ~ defined(g,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255393,c_266384]) ).
tcf(c_271673,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(h))))
| ~ defined(b,a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_266384]) ).
tcf(c_271674,plain,
( defined(d,d)
| ~ defined(g,g)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_260775,c_266384]) ).
tcf(c_271675,plain,
( defined(d,d)
| ~ defined(g,h)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_255394,c_266384]) ).
tcf(c_271676,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_266384]) ).
tcf(c_271865,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_268484,c_81]) ).
tcf(c_271868,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268484,c_239225]) ).
tcf(c_271869,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268484,c_239217]) ).
tcf(c_271876,plain,
( defined(a,d)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268484,c_235792]) ).
tcf(c_271906,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ identity_map(domain(d))
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_268528,c_81]) ).
tcf(c_271928,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271906,c_82]) ).
tcf(c_271951,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_269091,c_81]) ).
tcf(c_271954,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_269091,c_239225]) ).
tcf(c_271955,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_269091,c_239217]) ).
tcf(c_272055,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_269120,c_81]) ).
tcf(c_272058,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_269120,c_239225]) ).
tcf(c_272059,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_269120,c_239217]) ).
tcf(c_272098,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,codomain(d)),c,X1)
| ~ identity_map(h)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_73,c_238086]) ).
tcf(c_272099,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(h)
| ~ product(codomain(codomain(d)),d,X0) ),
inference(superposition,[status(thm)],[c_87,c_238086]) ).
tcf(c_272100,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),c,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_88,c_238086]) ).
tcf(c_272101,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(h)
| ~ identity_map(codomain(d))
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(superposition,[status(thm)],[c_89,c_238086]) ).
tcf(c_272102,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(h)
| ~ product(codomain(d),d,X0) ),
inference(superposition,[status(thm)],[c_236052,c_238086]) ).
tcf(c_272113,plain,
! [X0: $i,X1: $i] :
( product(X0,c,X1)
| ~ identity_map(h)
| ~ defined(X0,codomain(d))
| ~ product(X0,d,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272101,c_83]) ).
tcf(c_272130,plain,
( defined(d,domain(domain(h)))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_84,c_266404]) ).
tcf(c_272131,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266404]) ).
tcf(c_272132,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,c)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234236,c_266404]) ).
tcf(c_272133,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266404]) ).
tcf(c_272134,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_239326,c_266404]) ).
tcf(c_272135,plain,
( defined(d,a)
| ~ defined(h,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_266404]) ).
tcf(c_272136,plain,
( defined(d,h)
| ~ defined(h,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260259,c_266404]) ).
tcf(c_272137,plain,
( defined(d,h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234489,c_266404]) ).
tcf(c_272138,plain,
( defined(d,g)
| ~ defined(h,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_248568,c_266404]) ).
tcf(c_272139,plain,
( defined(d,g)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234488,c_266404]) ).
tcf(c_272140,plain,
( defined(d,c)
| ~ defined(h,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_243882,c_266404]) ).
tcf(c_272141,plain,
( defined(d,c)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_239384,c_266404]) ).
tcf(c_272142,plain,
( defined(d,d)
| ~ defined(h,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_258809,c_266404]) ).
tcf(c_272143,plain,
( defined(d,d)
| ~ defined(h,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_246617,c_266404]) ).
tcf(c_272145,plain,
( defined(d,codomain(h))
| ~ defined(b,c)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_266404]) ).
tcf(c_272146,plain,
( defined(d,codomain(h))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_266404]) ).
tcf(c_272147,plain,
( defined(d,codomain(g))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_266404]) ).
tcf(c_272148,plain,
( defined(d,codomain(g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_266404]) ).
tcf(c_272149,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_266404]) ).
tcf(c_272150,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_266404]) ).
tcf(c_272151,plain,
( defined(d,codomain(d))
| ~ defined(b,c)
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_266404]) ).
tcf(c_272152,plain,
( defined(d,codomain(d))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_266404]) ).
tcf(c_272155,plain,
( defined(d,c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_254754,c_266404]) ).
tcf(c_272156,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,c)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255418,c_266404]) ).
tcf(c_272157,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_254948,c_266404]) ).
tcf(c_272159,plain,
( defined(d,h)
| ~ defined(g,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260774,c_266404]) ).
tcf(c_272160,plain,
( defined(d,h)
| ~ defined(g,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255414,c_266404]) ).
tcf(c_272161,plain,
( defined(d,g)
| ~ defined(g,d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255415,c_266404]) ).
tcf(c_272162,plain,
( defined(d,g)
| ~ defined(g,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255393,c_266404]) ).
tcf(c_272163,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,domain(h))))
| ~ defined(b,c)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_266404]) ).
tcf(c_272164,plain,
( defined(d,d)
| ~ defined(g,g)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_260775,c_266404]) ).
tcf(c_272165,plain,
( defined(d,d)
| ~ defined(g,h)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_255394,c_266404]) ).
tcf(c_272166,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_266404]) ).
tcf(c_272422,plain,
( defined(codomain(d),domain(domain(c)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_266431]) ).
tcf(c_272423,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266431]) ).
tcf(c_272424,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234236,c_266431]) ).
tcf(c_272425,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266431]) ).
tcf(c_272427,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244365,c_266431]) ).
tcf(c_272428,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239326,c_266431]) ).
tcf(c_272429,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_234487,c_266431]) ).
tcf(c_272434,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244366,c_266431]) ).
tcf(c_272435,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_268484,c_266431]) ).
tcf(c_272436,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_268450,c_266431]) ).
tcf(c_272437,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_258812,c_266431]) ).
tcf(c_272438,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246619,c_266431]) ).
tcf(c_272439,plain,
( defined(codomain(d),d)
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_246629,c_266431]) ).
tcf(c_272440,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_243882,c_266431]) ).
tcf(c_272441,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_266431]) ).
tcf(c_272442,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_258809,c_266431]) ).
tcf(c_272443,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_246617,c_266431]) ).
tcf(c_272451,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),g) ),
inference(superposition,[status(thm)],[c_263604,c_266431]) ).
tcf(c_272452,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_249084,c_266431]) ).
tcf(c_272453,plain,
( defined(codomain(d),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),a) ),
inference(superposition,[status(thm)],[c_255131,c_266431]) ).
tcf(c_272454,plain,
( defined(codomain(d),domain(h))
| ~ identity_map(d)
| ~ defined(domain(c),c) ),
inference(superposition,[status(thm)],[c_254789,c_266431]) ).
tcf(c_272455,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,domain(c))))
| ~ identity_map(d)
| ~ defined(X0,domain(c)) ),
inference(superposition,[status(thm)],[c_257269,c_266431]) ).
tcf(c_272590,plain,
( defined(d,g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270454,c_234369]) ).
tcf(c_272593,plain,
( defined(domain(c),g)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270454,c_257986]) ).
tcf(c_272594,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270454,c_235829]) ).
tcf(c_272610,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_270455,c_81]) ).
tcf(c_272613,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270455,c_239225]) ).
tcf(c_272614,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270455,c_239217]) ).
tcf(c_272617,plain,
( defined(domain(c),d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270455,c_257986]) ).
tcf(c_272621,plain,
( defined(c,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270455,c_234363]) ).
tcf(c_272691,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_270488,c_81]) ).
tcf(c_272694,plain,
( defined(domain(b),c)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270488,c_239225]) ).
tcf(c_272695,plain,
( defined(domain(b),a)
| ~ identity_map(h)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270488,c_239217]) ).
tcf(c_272719,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(h)
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_270556,c_81]) ).
tcf(c_272722,plain,
( defined(domain(d),g)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_246376]) ).
tcf(c_272723,plain,
( defined(domain(d),d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_246274]) ).
tcf(c_272729,plain,
( defined(b,h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_234360]) ).
tcf(c_272730,plain,
( defined(d,codomain(g))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_250467]) ).
tcf(c_272732,plain,
( defined(b,codomain(g))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_250490]) ).
tcf(c_272733,plain,
( defined(c,codomain(g))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270556,c_250489]) ).
tcf(c_272760,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),compose(c,X0),X1)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_238087]) ).
tcf(c_272761,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(h)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_86,c_238087]) ).
tcf(c_272763,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),c,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_238087]) ).
tcf(c_272765,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),compose(X0,d),X1)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_238087]) ).
tcf(c_272766,plain,
! [X0: $i] :
( product(codomain(d),compose(c,d),X0)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_269236,c_238087]) ).
tcf(c_272767,plain,
! [X0: $i] :
( product(codomain(d),c,X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,d)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_271228,c_238087]) ).
tcf(c_272816,plain,
! [X0: $i] :
( defined(X0,domain(codomain(d)))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_84,c_266797]) ).
tcf(c_272818,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266797]) ).
tcf(c_272819,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266797]) ).
tcf(c_272825,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_237761,c_266797]) ).
tcf(c_272826,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ defined(d,c)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_237759,c_266797]) ).
tcf(c_272831,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_266797]) ).
tcf(c_272832,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_266797]) ).
tcf(c_272838,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_266797]) ).
tcf(c_272839,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_266797]) ).
tcf(c_272840,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(d))))
| ~ defined(X1,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_266797]) ).
tcf(c_272841,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_260595,c_266797]) ).
tcf(c_272842,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258358,c_266797]) ).
tcf(c_272848,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_264968,c_266797]) ).
tcf(c_272921,plain,
( defined(d,domain(codomain(d)))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_84,c_266939]) ).
tcf(c_272923,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266939]) ).
tcf(c_272924,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266939]) ).
tcf(c_272936,plain,
( defined(d,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_266939]) ).
tcf(c_272937,plain,
( defined(d,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_266939]) ).
tcf(c_272943,plain,
( defined(d,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_266939]) ).
tcf(c_272944,plain,
( defined(d,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_266939]) ).
tcf(c_272945,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(c,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_266939]) ).
tcf(c_272946,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_260595,c_266939]) ).
tcf(c_272947,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_266939]) ).
tcf(c_272953,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_264968,c_266939]) ).
tcf(c_273059,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(h)
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_270559,c_81]) ).
tcf(c_273062,plain,
( defined(domain(c),g)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270559,c_246376]) ).
tcf(c_273063,plain,
( defined(domain(c),d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270559,c_246274]) ).
tcf(c_273066,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_270559,c_263167]) ).
tcf(c_273116,plain,
( defined(d,g)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272722,c_234369]) ).
tcf(c_273120,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272722,c_235829]) ).
tcf(c_273123,plain,
( defined(c,g)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272722,c_234363]) ).
tcf(c_273136,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_272723,c_81]) ).
tcf(c_273139,plain,
( defined(domain(d),c)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272723,c_239225]) ).
tcf(c_273140,plain,
( defined(domain(d),a)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272723,c_239217]) ).
tcf(c_273148,plain,
( defined(b,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_272723,c_234360]) ).
tcf(c_273181,plain,
! [X0: $i] :
( defined(compose(X0,codomain(d)),c)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_73,c_238088]) ).
tcf(c_273184,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(codomain(d))
| ~ defined(X0,d)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_89,c_238088]) ).
tcf(c_273198,plain,
( defined(b,domain(codomain(d)))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_84,c_266961]) ).
tcf(c_273200,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266961]) ).
tcf(c_273201,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266961]) ).
tcf(c_273213,plain,
( defined(b,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_266961]) ).
tcf(c_273214,plain,
( defined(b,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_266961]) ).
tcf(c_273220,plain,
( defined(b,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_266961]) ).
tcf(c_273221,plain,
( defined(b,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_266961]) ).
tcf(c_273222,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(c,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_266961]) ).
tcf(c_273223,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_260595,c_266961]) ).
tcf(c_273224,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_266961]) ).
tcf(c_273230,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_264968,c_266961]) ).
tcf(c_273265,plain,
( defined(c,domain(codomain(d)))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_84,c_266973]) ).
tcf(c_273267,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266973]) ).
tcf(c_273268,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266973]) ).
tcf(c_273275,plain,
( defined(c,a)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_266973]) ).
tcf(c_273280,plain,
( defined(c,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_266973]) ).
tcf(c_273281,plain,
( defined(c,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_266973]) ).
tcf(c_273287,plain,
( defined(c,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_266973]) ).
tcf(c_273288,plain,
( defined(c,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_266973]) ).
tcf(c_273289,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(d,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_266973]) ).
tcf(c_273290,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_260595,c_266973]) ).
tcf(c_273291,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_266973]) ).
tcf(c_273297,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_264968,c_266973]) ).
tcf(c_273414,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_273062,c_263204]) ).
tcf(c_273425,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_273063,c_81]) ).
tcf(c_273428,plain,
( defined(domain(c),c)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_273063,c_239225]) ).
tcf(c_273429,plain,
( defined(domain(c),a)
| ~ identity_map(h)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_273063,c_239217]) ).
tcf(c_273432,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_273063,c_266431]) ).
tcf(c_273465,plain,
( defined(g,codomain(g))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_260259,c_254740]) ).
tcf(c_273469,plain,
( defined(g,codomain(g))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_260774,c_254740]) ).
tcf(c_273498,plain,
( defined(d,domain(h))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_239384,c_254746]) ).
tcf(c_273508,plain,
( ( compose(codomain(d),c) = d )
| ~ identity_map(h)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_73,c_238089]) ).
tcf(c_273512,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,g,codomain(d)) ),
inference(superposition,[status(thm)],[c_237174,c_238089]) ).
tcf(c_273514,plain,
( ( compose(codomain(d),d) = d )
| ~ identity_map(h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_269236,c_238089]) ).
tcf(c_273515,plain,
( ( codomain(d) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_271228,c_238089]) ).
tcf(c_273519,plain,
( ( codomain(d) = d )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273515,c_85]) ).
tcf(c_273534,plain,
( defined(b,domain(codomain(d)))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_84,c_266985]) ).
tcf(c_273536,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_266985]) ).
tcf(c_273537,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_266985]) ).
tcf(c_273544,plain,
( defined(b,a)
| ~ identity_map(d)
| ~ defined(d,g)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_237759,c_266985]) ).
tcf(c_273549,plain,
( defined(b,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_266985]) ).
tcf(c_273550,plain,
( defined(b,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_266985]) ).
tcf(c_273556,plain,
( defined(b,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_266985]) ).
tcf(c_273557,plain,
( defined(b,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_266985]) ).
tcf(c_273558,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(d))))
| ~ defined(d,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_266985]) ).
tcf(c_273559,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_260595,c_266985]) ).
tcf(c_273560,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(d,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_266985]) ).
tcf(c_273566,plain,
( defined(b,compose(codomain(d),h))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_264968,c_266985]) ).
tcf(c_273605,plain,
( defined(b,domain(codomain(h)))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_84,c_267002]) ).
tcf(c_273607,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_267002]) ).
tcf(c_273608,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_267002]) ).
tcf(c_273611,plain,
( defined(b,h)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_267002]) ).
tcf(c_273616,plain,
( defined(b,g)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_267002]) ).
tcf(c_273619,plain,
( defined(b,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_267002]) ).
tcf(c_273620,plain,
( defined(b,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_267002]) ).
tcf(c_273625,plain,
( defined(b,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_267002]) ).
tcf(c_273626,plain,
( defined(b,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_267002]) ).
tcf(c_273628,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(h))))
| ~ defined(d,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_267002]) ).
tcf(c_273629,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_267002]) ).
tcf(c_273769,plain,
defined(g,codomain(domain(domain(h)))),
inference(superposition,[status(thm)],[c_84,c_254773]) ).
tcf(c_273770,plain,
! [X0: $i] :
( defined(g,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_254773]) ).
tcf(c_273772,plain,
! [X0: $i] :
( defined(g,codomain(codomain(X0)))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_254773]) ).
tcf(c_273773,plain,
( defined(g,codomain(a))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_239326,c_254773]) ).
tcf(c_273774,plain,
( defined(g,codomain(a))
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_234487,c_254773]) ).
tcf(c_273779,plain,
( defined(g,codomain(c))
| ~ defined(h,a) ),
inference(superposition,[status(thm)],[c_243882,c_254773]) ).
tcf(c_273780,plain,
( defined(g,codomain(c))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_239384,c_254773]) ).
tcf(c_273783,plain,
defined(g,codomain(domain(h))),
inference(superposition,[status(thm)],[c_236024,c_254773]) ).
tcf(c_273784,plain,
( defined(g,codomain(codomain(h)))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263636,c_254773]) ).
tcf(c_273785,plain,
( defined(g,codomain(codomain(h)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236325,c_254773]) ).
tcf(c_273786,plain,
( defined(g,codomain(codomain(g)))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_254773]) ).
tcf(c_273787,plain,
( defined(g,codomain(codomain(g)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_254773]) ).
tcf(c_273788,plain,
( defined(g,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(h)),d) ),
inference(superposition,[status(thm)],[c_237655,c_254773]) ).
tcf(c_273789,plain,
( defined(g,codomain(compose(codomain(d),g)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_254773]) ).
tcf(c_273790,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_263604,c_254773]) ).
tcf(c_273791,plain,
( defined(g,codomain(codomain(d)))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_249084,c_254773]) ).
tcf(c_273802,plain,
! [X0: $i] :
( defined(g,codomain(domain(compose(X0,domain(h)))))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_254773]) ).
tcf(c_273805,plain,
( defined(g,codomain(compose(codomain(d),h)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_254773]) ).
tcf(c_273806,plain,
( defined(g,domain(h))
| ~ defined(h,a) ),
inference(light_normalisation,[status(thm)],[c_273779,c_254755]) ).
tcf(c_273807,plain,
( defined(g,domain(h))
| ~ defined(h,c) ),
inference(light_normalisation,[status(thm)],[c_273774,c_254670]) ).
tcf(c_273821,plain,
( defined(g,domain(h))
| ~ identity_map(h)
| ~ defined(h,d) ),
inference(light_normalisation,[status(thm)],[c_273780,c_254755]) ).
tcf(c_273940,plain,
! [X0: $i] :
( defined(codomain(d),compose(c,X0))
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_73,c_238091]) ).
tcf(c_273945,plain,
! [X0: $i] :
( defined(codomain(d),compose(X0,d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_238091]) ).
tcf(c_273946,plain,
( defined(codomain(d),compose(c,d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_269236,c_238091]) ).
tcf(c_273947,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_271228,c_238091]) ).
tcf(c_273973,plain,
( defined(c,domain(codomain(h)))
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_84,c_267016]) ).
tcf(c_273975,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_267016]) ).
tcf(c_273976,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(d,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_267016]) ).
tcf(c_273979,plain,
( defined(c,h)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_267016]) ).
tcf(c_273984,plain,
( defined(c,g)
| ~ identity_map(h)
| ~ defined(d,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_267016]) ).
tcf(c_273987,plain,
( defined(c,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_267016]) ).
tcf(c_273988,plain,
( defined(c,codomain(g))
| ~ defined(d,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_267016]) ).
tcf(c_273993,plain,
( defined(c,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_267016]) ).
tcf(c_273994,plain,
( defined(c,domain(h))
| ~ defined(d,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_267016]) ).
tcf(c_273996,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(h))))
| ~ defined(d,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_267016]) ).
tcf(c_273997,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(d,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_267016]) ).
tcf(c_274040,plain,
( defined(d,domain(codomain(h)))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_84,c_267043]) ).
tcf(c_274042,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_267043]) ).
tcf(c_274043,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_267043]) ).
tcf(c_274046,plain,
( defined(d,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237761,c_267043]) ).
tcf(c_274049,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237759,c_267043]) ).
tcf(c_274051,plain,
( defined(d,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237760,c_267043]) ).
tcf(c_274054,plain,
( defined(d,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_267043]) ).
tcf(c_274055,plain,
( defined(d,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_267043]) ).
tcf(c_274060,plain,
( defined(d,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_267043]) ).
tcf(c_274061,plain,
( defined(d,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_267043]) ).
tcf(c_274063,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(h))))
| ~ defined(c,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_267043]) ).
tcf(c_274064,plain,
! [X0: $i] :
( defined(d,compose(h,X0))
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_267043]) ).
tcf(c_274133,plain,
! [X0: $i] :
( defined(domain(X0),domain(h))
| ~ defined(domain(X0),c) ),
inference(superposition,[status(thm)],[c_235975,c_254787]) ).
tcf(c_274134,plain,
! [X0: $i] :
( defined(codomain(X0),domain(h))
| ~ defined(codomain(X0),c) ),
inference(superposition,[status(thm)],[c_235976,c_254787]) ).
tcf(c_274159,plain,
! [X0: $i] :
( defined(domain(X0),domain(h))
| ~ defined(domain(X0),a) ),
inference(superposition,[status(thm)],[c_235975,c_256786]) ).
tcf(c_274160,plain,
! [X0: $i] :
( defined(codomain(X0),domain(h))
| ~ defined(codomain(X0),a) ),
inference(superposition,[status(thm)],[c_235976,c_256786]) ).
tcf(c_274209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,compose(X0,compose(X1,d)))
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_73,c_238314]) ).
tcf(c_274210,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ product(codomain(compose(X0,d)),X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_238314]) ).
tcf(c_274211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,compose(X1,d))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_88,c_238314]) ).
tcf(c_274212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X0)
| ~ defined(X1,d)
| ~ identity_map(compose(X1,d))
| ~ product(X1,g,X2)
| ~ product(X0,X2,X3)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_89,c_238314]) ).
tcf(c_274213,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ defined(c,d)
| ~ product(d,d,X2)
| ~ product(c,g,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_235931,c_238314]) ).
tcf(c_274214,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ defined(c,d)
| ~ product(d,d,X2)
| ~ product(c,g,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_236632,c_238314]) ).
tcf(c_274215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ defined(codomain(d),d)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_238314]) ).
tcf(c_274216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ defined(codomain(h),d)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_238314]) ).
tcf(c_274231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274216,c_246238]) ).
tcf(c_274236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(d),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274215,c_85]) ).
tcf(c_274294,plain,
( defined(b,domain(codomain(h)))
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_84,c_267664]) ).
tcf(c_274296,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_267664]) ).
tcf(c_274297,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ defined(c,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_267664]) ).
tcf(c_274300,plain,
( defined(b,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237761,c_267664]) ).
tcf(c_274303,plain,
( defined(b,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237759,c_267664]) ).
tcf(c_274305,plain,
( defined(b,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_237760,c_267664]) ).
tcf(c_274308,plain,
( defined(b,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_267664]) ).
tcf(c_274309,plain,
( defined(b,codomain(g))
| ~ defined(c,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_267664]) ).
tcf(c_274314,plain,
( defined(b,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_267664]) ).
tcf(c_274315,plain,
( defined(b,domain(h))
| ~ defined(c,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_267664]) ).
tcf(c_274317,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,codomain(h))))
| ~ defined(c,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_267664]) ).
tcf(c_274318,plain,
! [X0: $i] :
( defined(b,compose(h,X0))
| ~ defined(c,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_267664]) ).
tcf(c_274362,plain,
! [X0: $i] :
( defined(X0,domain(codomain(h)))
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_84,c_267862]) ).
tcf(c_274364,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X0)
| ~ defined(X1,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_267862]) ).
tcf(c_274365,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ defined(X1,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_267862]) ).
tcf(c_274368,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_237761,c_267862]) ).
tcf(c_274371,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_237759,c_267862]) ).
tcf(c_274376,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_267862]) ).
tcf(c_274377,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ defined(X0,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_267862]) ).
tcf(c_274382,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_267862]) ).
tcf(c_274383,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ defined(X0,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_267862]) ).
tcf(c_274385,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,codomain(h))))
| ~ defined(X1,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_267862]) ).
tcf(c_274386,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(h,X1))
| ~ defined(h,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_258358,c_267862]) ).
tcf(c_274463,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,X0)
| ~ identity_map(compose(c,X0))
| ~ defined(compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_260623,c_81]) ).
tcf(c_274496,plain,
defined(c,codomain(domain(domain(b)))),
inference(superposition,[status(thm)],[c_84,c_260956]) ).
tcf(c_274497,plain,
! [X0: $i] :
( defined(c,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260643,c_260956]) ).
tcf(c_274499,plain,
! [X0: $i] :
( defined(c,codomain(codomain(X0)))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_234320,c_260956]) ).
tcf(c_274500,plain,
( defined(c,codomain(a))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239326,c_260956]) ).
tcf(c_274501,plain,
( defined(c,codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_260956]) ).
tcf(c_274506,plain,
( defined(c,codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_260956]) ).
tcf(c_274507,plain,
( defined(c,codomain(c))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239384,c_260956]) ).
tcf(c_274512,plain,
defined(c,codomain(domain(b))),
inference(superposition,[status(thm)],[c_236024,c_260956]) ).
tcf(c_274513,plain,
( defined(c,codomain(codomain(h)))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263636,c_260956]) ).
tcf(c_274514,plain,
( defined(c,codomain(codomain(h)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236325,c_260956]) ).
tcf(c_274515,plain,
( defined(c,codomain(codomain(g)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249114,c_260956]) ).
tcf(c_274516,plain,
( defined(c,codomain(codomain(g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236326,c_260956]) ).
tcf(c_274517,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(b)),d) ),
inference(superposition,[status(thm)],[c_237655,c_260956]) ).
tcf(c_274518,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_237509,c_260956]) ).
tcf(c_274519,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263604,c_260956]) ).
tcf(c_274520,plain,
( defined(c,codomain(codomain(d)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249084,c_260956]) ).
tcf(c_274528,plain,
( defined(c,codomain(domain(h)))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_255131,c_260956]) ).
tcf(c_274529,plain,
( defined(c,codomain(domain(h)))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_254789,c_260956]) ).
tcf(c_274530,plain,
! [X0: $i] :
( defined(c,codomain(domain(compose(X0,domain(b)))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_257269,c_260956]) ).
tcf(c_274543,plain,
( defined(c,codomain(compose(codomain(d),h)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_264825,c_260956]) ).
tcf(c_274563,plain,
( defined(c,domain(h))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(light_normalisation,[status(thm)],[c_274507,c_254755]) ).
tcf(c_274736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,compose(compose(X0,d),X1))
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_73,c_238315]) ).
tcf(c_274737,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ product(c,domain(compose(X0,d)),X1) ),
inference(superposition,[status(thm)],[c_86,c_238315]) ).
tcf(c_274738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,X1)
| ~ defined(X0,d)
| ~ identity_map(compose(X0,d))
| ~ product(c,X1,X3)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_88,c_238315]) ).
tcf(c_274739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,compose(X0,d))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ product(c,X1,X3)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_89,c_238315]) ).
tcf(c_274740,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X2,d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ identity_map(compose(X0,d))
| ~ product(c,c,X2)
| ~ product(X0,g,X1)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_270616,c_238315]) ).
tcf(c_274741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,X3,compose(X0,d))
| ~ defined(X1,d)
| ~ defined(X0,d)
| ~ product(c,c,X3)
| ~ product(X1,g,X2)
| ~ product(X0,g,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_237174,c_238315]) ).
tcf(c_274742,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X2,compose(compose(X0,d),d))
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(c,c,X2)
| ~ product(X0,g,X1)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_269236,c_238315]) ).
tcf(c_274743,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X2,compose(X0,d))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(c,c,X2)
| ~ product(X0,g,X1)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_271228,c_238315]) ).
tcf(c_274744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ defined(codomain(d),d)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_238315]) ).
tcf(c_274745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ defined(codomain(h),d)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_238315]) ).
tcf(c_274750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(h),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274745,c_246238]) ).
tcf(c_274755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(d),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274744,c_85]) ).
tcf(c_274810,plain,
( defined(h,domain(codomain(h)))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_84,c_268426]) ).
tcf(c_274812,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_268426]) ).
tcf(c_274813,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_268426]) ).
tcf(c_274816,plain,
( defined(h,h)
| ~ identity_map(h)
| ~ defined(g,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_268426]) ).
tcf(c_274821,plain,
( defined(h,g)
| ~ identity_map(h)
| ~ defined(g,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_268426]) ).
tcf(c_274824,plain,
( defined(h,codomain(g))
| ~ defined(g,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_268426]) ).
tcf(c_274825,plain,
( defined(h,codomain(g))
| ~ defined(g,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_268426]) ).
tcf(c_274827,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(g,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_237509,c_268426]) ).
tcf(c_274830,plain,
( defined(h,domain(h))
| ~ defined(g,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_268426]) ).
tcf(c_274831,plain,
( defined(h,domain(h))
| ~ defined(g,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_268426]) ).
tcf(c_274833,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(h))))
| ~ defined(g,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_268426]) ).
tcf(c_274834,plain,
! [X0: $i] :
( defined(h,compose(h,X0))
| ~ defined(g,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_268426]) ).
tcf(c_274838,plain,
( defined(h,compose(codomain(d),h))
| ~ defined(g,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_264825,c_268426]) ).
tcf(c_274857,plain,
( defined(h,compose(codomain(d),h))
| ~ defined(g,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274838,c_246238]) ).
tcf(c_274860,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(g,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274827,c_246238]) ).
tcf(c_274881,plain,
( defined(h,domain(codomain(d)))
| ~ defined(g,g) ),
inference(superposition,[status(thm)],[c_84,c_268438]) ).
tcf(c_274883,plain,
! [X0: $i] :
( defined(h,domain(X0))
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_268438]) ).
tcf(c_274884,plain,
! [X0: $i] :
( defined(h,codomain(X0))
| ~ defined(g,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_268438]) ).
tcf(c_274890,plain,
( defined(h,h)
| ~ identity_map(d)
| ~ defined(g,g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237761,c_268438]) ).
tcf(c_274893,plain,
( defined(h,g)
| ~ identity_map(d)
| ~ defined(g,g)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_237760,c_268438]) ).
tcf(c_274896,plain,
( defined(h,codomain(g))
| ~ defined(g,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_268438]) ).
tcf(c_274897,plain,
( defined(h,codomain(g))
| ~ defined(g,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_268438]) ).
tcf(c_274903,plain,
( defined(h,domain(h))
| ~ defined(g,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_268438]) ).
tcf(c_274904,plain,
( defined(h,domain(h))
| ~ defined(g,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_268438]) ).
tcf(c_274905,plain,
! [X0: $i] :
( defined(h,domain(compose(X0,codomain(d))))
| ~ defined(g,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_268438]) ).
tcf(c_274907,plain,
! [X0: $i] :
( defined(h,compose(d,X0))
| ~ defined(g,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_268438]) ).
tcf(c_274939,plain,
! [X0: $i] :
( identity_map(c)
| ~ identity_map(X0)
| ( c != X0 ) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_274940,plain,
( identity_map(c)
| ~ identity_map(a)
| ( c != a ) ),
inference(instantiation,[status(thm)],[c_274939]) ).
tcf(c_274975,plain,
defined(d,codomain(domain(domain(b)))),
inference(superposition,[status(thm)],[c_84,c_261118]) ).
tcf(c_274976,plain,
! [X0: $i] :
( defined(d,codomain(domain(X0)))
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260643,c_261118]) ).
tcf(c_274978,plain,
! [X0: $i] :
( defined(d,codomain(codomain(X0)))
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_234320,c_261118]) ).
tcf(c_274979,plain,
( defined(d,codomain(a))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239326,c_261118]) ).
tcf(c_274980,plain,
( defined(d,codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_234487,c_261118]) ).
tcf(c_274985,plain,
( defined(d,codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_243882,c_261118]) ).
tcf(c_274986,plain,
( defined(d,codomain(c))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_239384,c_261118]) ).
tcf(c_274991,plain,
defined(d,codomain(domain(b))),
inference(superposition,[status(thm)],[c_236024,c_261118]) ).
tcf(c_274992,plain,
( defined(d,codomain(codomain(h)))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263636,c_261118]) ).
tcf(c_274993,plain,
( defined(d,codomain(codomain(h)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236325,c_261118]) ).
tcf(c_274994,plain,
( defined(d,codomain(codomain(g)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249114,c_261118]) ).
tcf(c_274995,plain,
( defined(d,codomain(codomain(g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_236326,c_261118]) ).
tcf(c_274996,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(domain(b)),d) ),
inference(superposition,[status(thm)],[c_237655,c_261118]) ).
tcf(c_274997,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_237509,c_261118]) ).
tcf(c_274998,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(b),g) ),
inference(superposition,[status(thm)],[c_263604,c_261118]) ).
tcf(c_274999,plain,
( defined(d,codomain(codomain(d)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_249084,c_261118]) ).
tcf(c_275007,plain,
( defined(d,codomain(domain(h)))
| ~ defined(domain(b),a) ),
inference(superposition,[status(thm)],[c_255131,c_261118]) ).
tcf(c_275008,plain,
( defined(d,codomain(domain(h)))
| ~ defined(domain(b),c) ),
inference(superposition,[status(thm)],[c_254789,c_261118]) ).
tcf(c_275009,plain,
! [X0: $i] :
( defined(d,codomain(domain(compose(X0,domain(b)))))
| ~ defined(X0,domain(b)) ),
inference(superposition,[status(thm)],[c_257269,c_261118]) ).
tcf(c_275022,plain,
( defined(d,codomain(compose(codomain(d),h)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_264825,c_261118]) ).
tcf(c_275042,plain,
( defined(d,domain(h))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(light_normalisation,[status(thm)],[c_274986,c_254755]) ).
tcf(c_275156,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ product(codomain(compose(X0,d)),X1,X2) ),
inference(superposition,[status(thm)],[c_85,c_238316]) ).
tcf(c_275157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,c)
| ~ defined(X3,d)
| ~ product(X3,g,X1)
| ~ defined(X0,compose(X3,d))
| ~ product(domain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_234236,c_238316]) ).
tcf(c_275158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,c)
| ~ identity_map(X0)
| ~ defined(X3,d)
| ~ product(X3,g,X1)
| ~ defined(X0,compose(X3,d))
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_234347,c_238316]) ).
tcf(c_275159,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(d,compose(X2,d))
| ~ product(domain(c),X0,X1) ),
inference(superposition,[status(thm)],[c_244252,c_238316]) ).
tcf(c_275160,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(h,compose(X2,d))
| ~ product(codomain(d),X0,X1) ),
inference(superposition,[status(thm)],[c_234469,c_238316]) ).
tcf(c_275161,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(d,d)
| ~ defined(c,d)
| ~ product(c,g,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_260614,c_238316]) ).
tcf(c_275162,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(c,d)
| ~ product(c,g,X0)
| ~ product(h,X0,X1) ),
inference(superposition,[status(thm)],[c_243305,c_238316]) ).
tcf(c_275163,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(d,d)
| ~ defined(c,d)
| ~ product(c,g,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_260623,c_238316]) ).
tcf(c_275164,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(c,d)
| ~ product(c,g,X0)
| ~ product(g,X0,X1) ),
inference(superposition,[status(thm)],[c_250689,c_238316]) ).
tcf(c_275165,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(d,compose(X2,d))
| ~ product(domain(b),X0,X1) ),
inference(superposition,[status(thm)],[c_253500,c_238316]) ).
tcf(c_275166,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(d,compose(X2,d))
| ~ product(codomain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_246270,c_238316]) ).
tcf(c_275167,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(h,compose(X2,d))
| ~ product(codomain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_258645,c_238316]) ).
tcf(c_275168,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(d,compose(X2,d))
| ~ product(codomain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_258558,c_238316]) ).
tcf(c_275169,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(g,compose(X2,d))
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_255418,c_238316]) ).
tcf(c_275170,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(a)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(a,compose(X2,d))
| ~ product(domain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_254948,c_238316]) ).
tcf(c_275171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,c)
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1)
| ~ product(codomain(compose(compose(X0,d),X1)),X2,X3) ),
inference(superposition,[status(thm)],[c_259762,c_238316]) ).
tcf(c_275172,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ product(codomain(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_258358,c_238316]) ).
tcf(c_275173,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ defined(codomain(d),d)
| ~ product(X1,X0,X2)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_238316]) ).
tcf(c_275174,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ defined(codomain(h),d)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_238316]) ).
tcf(c_275201,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ product(X1,X0,X2)
| ~ product(codomain(h),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275174,c_246238]) ).
tcf(c_275206,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ product(X1,X0,X2)
| ~ product(codomain(d),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275173,c_85]) ).
tcf(c_275697,plain,
( defined(codomain(h),domain(domain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_268557]) ).
tcf(c_275698,plain,
! [X0: $i] :
( defined(codomain(h),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_268557]) ).
tcf(c_275700,plain,
! [X0: $i] :
( defined(codomain(h),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_268557]) ).
tcf(c_275719,plain,
( defined(codomain(h),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_268557]) ).
tcf(c_275720,plain,
( defined(codomain(h),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_268557]) ).
tcf(c_275721,plain,
( defined(codomain(h),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_268557]) ).
tcf(c_275722,plain,
( defined(codomain(h),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_268557]) ).
tcf(c_275723,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_268557]) ).
tcf(c_275724,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_268557]) ).
tcf(c_275725,plain,
( defined(codomain(h),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_268557]) ).
tcf(c_275726,plain,
( defined(codomain(h),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_268557]) ).
tcf(c_275727,plain,
( defined(codomain(h),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_268557]) ).
tcf(c_275728,plain,
( defined(codomain(h),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_268557]) ).
tcf(c_275729,plain,
! [X0: $i] :
( defined(codomain(h),domain(compose(X0,domain(d))))
| ~ identity_map(d)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_268557]) ).
tcf(c_275735,plain,
( defined(codomain(h),h)
| ~ identity_map(d)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_253010,c_268557]) ).
tcf(c_275744,plain,
( defined(codomain(h),compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_268557]) ).
tcf(c_275791,plain,
( defined(codomain(g),domain(domain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_269183]) ).
tcf(c_275792,plain,
! [X0: $i] :
( defined(codomain(g),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_269183]) ).
tcf(c_275794,plain,
! [X0: $i] :
( defined(codomain(g),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_269183]) ).
tcf(c_275813,plain,
( defined(codomain(g),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263636,c_269183]) ).
tcf(c_275814,plain,
( defined(codomain(g),codomain(h))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236325,c_269183]) ).
tcf(c_275815,plain,
( defined(codomain(g),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_269183]) ).
tcf(c_275816,plain,
( defined(codomain(g),codomain(g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_269183]) ).
tcf(c_275817,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(domain(d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_269183]) ).
tcf(c_275818,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237509,c_269183]) ).
tcf(c_275819,plain,
( defined(codomain(g),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_269183]) ).
tcf(c_275820,plain,
( defined(codomain(g),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_269183]) ).
tcf(c_275821,plain,
( defined(codomain(g),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_269183]) ).
tcf(c_275822,plain,
( defined(codomain(g),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_269183]) ).
tcf(c_275823,plain,
! [X0: $i] :
( defined(codomain(g),domain(compose(X0,domain(d))))
| ~ identity_map(d)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_269183]) ).
tcf(c_275832,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_270454,c_269183]) ).
tcf(c_275838,plain,
( defined(codomain(g),compose(codomain(d),h))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_264825,c_269183]) ).
tcf(c_275917,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),h))
| ~ defined(compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_265003,c_81]) ).
tcf(c_275920,plain,
( defined(a,compose(codomain(d),h))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_265003,c_234348]) ).
tcf(c_275933,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),h))
| ~ defined(compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_265006,c_81]) ).
tcf(c_275946,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(d),h))
| ~ defined(compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_265009,c_81]) ).
tcf(c_275987,plain,
! [X0: $i] :
( defined(domain(X0),codomain(d))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_235975,c_266610]) ).
tcf(c_275988,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(d))
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_235976,c_266610]) ).
tcf(c_275990,plain,
( defined(compose(codomain(d),g),codomain(d))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_255960,c_266610]) ).
tcf(c_276005,plain,
! [X0: $i,X1: $i] :
( ( compose(X0,d) = X1 )
| ~ defined(X0,g)
| ~ defined(X0,d)
| ~ product(compose(X0,g),c,X1) ),
inference(superposition,[status(thm)],[c_73,c_238317]) ).
tcf(c_276006,plain,
! [X0: $i] :
( ( compose(codomain(g),d) = X0 )
| ~ defined(codomain(g),d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_87,c_238317]) ).
tcf(c_276007,plain,
! [X0: $i,X1: $i] :
( ( compose(X1,d) = X0 )
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ defined(X1,d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_88,c_238317]) ).
tcf(c_276009,plain,
! [X0: $i] :
( ( compose(codomain(g),d) = X0 )
| ~ product(g,c,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276006,c_258357]) ).
tcf(c_276028,plain,
( defined(d,domain(codomain(d)))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_84,c_269197]) ).
tcf(c_276030,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_269197]) ).
tcf(c_276031,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_269197]) ).
tcf(c_276043,plain,
( defined(d,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_269197]) ).
tcf(c_276044,plain,
( defined(d,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_269197]) ).
tcf(c_276050,plain,
( defined(d,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_269197]) ).
tcf(c_276051,plain,
( defined(d,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_269197]) ).
tcf(c_276052,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(d))))
| ~ defined(b,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_269197]) ).
tcf(c_276053,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_260595,c_269197]) ).
tcf(c_276054,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_269197]) ).
tcf(c_276060,plain,
( defined(d,compose(codomain(d),h))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_264968,c_269197]) ).
tcf(c_276095,plain,
( defined(c,domain(codomain(d)))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_84,c_270431]) ).
tcf(c_276097,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_270431]) ).
tcf(c_276098,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_270431]) ).
tcf(c_276110,plain,
( defined(c,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_270431]) ).
tcf(c_276111,plain,
( defined(c,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_270431]) ).
tcf(c_276117,plain,
( defined(c,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_270431]) ).
tcf(c_276118,plain,
( defined(c,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_270431]) ).
tcf(c_276119,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(d))))
| ~ defined(b,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_270431]) ).
tcf(c_276120,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_260595,c_270431]) ).
tcf(c_276121,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_270431]) ).
tcf(c_276127,plain,
( defined(c,compose(codomain(d),h))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_264968,c_270431]) ).
tcf(c_276304,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,h),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_267078,c_81]) ).
tcf(c_276343,plain,
! [X0: $i] :
( defined(domain(X0),codomain(h))
| ~ defined(domain(X0),g) ),
inference(superposition,[status(thm)],[c_235975,c_267674]) ).
tcf(c_276344,plain,
! [X0: $i] :
( defined(codomain(X0),codomain(h))
| ~ defined(codomain(X0),g) ),
inference(superposition,[status(thm)],[c_235976,c_267674]) ).
tcf(c_276346,plain,
( defined(compose(codomain(d),g),codomain(h))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_255960,c_267674]) ).
tcf(c_276403,plain,
! [X0: $i,X1: $i] :
( defined(codomain(compose(X0,d)),X1)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_85,c_238318]) ).
tcf(c_276404,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(domain(X0),X2)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_234236,c_238318]) ).
tcf(c_276405,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(X0),X2)
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_234347,c_238318]) ).
tcf(c_276406,plain,
! [X0: $i,X1: $i] :
( defined(domain(c),X1)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(d,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_244252,c_238318]) ).
tcf(c_276407,plain,
! [X0: $i,X1: $i] :
( defined(codomain(d),X1)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(h,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_234469,c_238318]) ).
tcf(c_276408,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,d)
| ~ defined(c,d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_260614,c_238318]) ).
tcf(c_276409,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(c,d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_243305,c_238318]) ).
tcf(c_276410,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,d)
| ~ defined(c,d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_260623,c_238318]) ).
tcf(c_276411,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(c,d)
| ~ product(c,g,X0) ),
inference(superposition,[status(thm)],[c_250689,c_238318]) ).
tcf(c_276412,plain,
! [X0: $i,X1: $i] :
( defined(domain(b),X1)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(d,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_253500,c_238318]) ).
tcf(c_276413,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(d,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_246270,c_238318]) ).
tcf(c_276414,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(h,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_258645,c_238318]) ).
tcf(c_276415,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(d,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_258558,c_238318]) ).
tcf(c_276416,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(g,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_255418,c_238318]) ).
tcf(c_276417,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ identity_map(a)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(a,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_254948,c_238318]) ).
tcf(c_276418,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(codomain(compose(compose(X0,d),X1)),X2)
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_259762,c_238318]) ).
tcf(c_276419,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),X1)
| ~ defined(X0,d)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_258358,c_238318]) ).
tcf(c_276420,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(d),d)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_238318]) ).
tcf(c_276421,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(h),d)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_238318]) ).
tcf(c_276442,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ product(codomain(h),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276421,c_246238]) ).
tcf(c_276446,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ product(codomain(d),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276420,c_85]) ).
tcf(c_276562,plain,
( defined(g,domain(codomain(d)))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_84,c_270443]) ).
tcf(c_276564,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_270443]) ).
tcf(c_276565,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,g)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_270443]) ).
tcf(c_276571,plain,
( defined(g,h)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_237761,c_270443]) ).
tcf(c_276574,plain,
( defined(g,g)
| ~ identity_map(d)
| ~ defined(d,d)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_237760,c_270443]) ).
tcf(c_276577,plain,
( defined(g,codomain(g))
| ~ defined(h,g)
| ~ defined(codomain(d),h) ),
inference(superposition,[status(thm)],[c_249114,c_270443]) ).
tcf(c_276578,plain,
( defined(g,codomain(g))
| ~ defined(h,g)
| ~ defined(codomain(d),d) ),
inference(superposition,[status(thm)],[c_236326,c_270443]) ).
tcf(c_276586,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(d))))
| ~ defined(h,g)
| ~ defined(X0,codomain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_270443]) ).
tcf(c_276587,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_260595,c_270443]) ).
tcf(c_276588,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_258358,c_270443]) ).
tcf(c_276594,plain,
( defined(g,compose(codomain(d),h))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_264968,c_270443]) ).
tcf(c_276723,plain,
( defined(d,domain(codomain(h)))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_84,c_270568]) ).
tcf(c_276725,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_270568]) ).
tcf(c_276726,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_270568]) ).
tcf(c_276729,plain,
( defined(d,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237761,c_270568]) ).
tcf(c_276732,plain,
( defined(d,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237759,c_270568]) ).
tcf(c_276734,plain,
( defined(d,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237760,c_270568]) ).
tcf(c_276737,plain,
( defined(d,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_270568]) ).
tcf(c_276738,plain,
( defined(d,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_270568]) ).
tcf(c_276743,plain,
( defined(d,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_270568]) ).
tcf(c_276744,plain,
( defined(d,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_270568]) ).
tcf(c_276746,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,codomain(h))))
| ~ defined(b,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_270568]) ).
tcf(c_276747,plain,
! [X0: $i] :
( defined(d,compose(h,X0))
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_270568]) ).
tcf(c_276901,plain,
! [X0: $i] :
( ( domain(X0) = domain(h) )
| ~ defined(X0,a) ),
inference(light_normalisation,[status(thm)],[c_243660,c_254670]) ).
tcf(c_276908,plain,
domain(codomain(a)) = domain(h),
inference(superposition,[status(thm)],[c_85,c_276901]) ).
tcf(c_276909,plain,
! [X0: $i] :
( ( domain(domain(X0)) = domain(h) )
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234236,c_276901]) ).
tcf(c_276910,plain,
! [X0: $i] :
( ( domain(codomain(X0)) = domain(h) )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(superposition,[status(thm)],[c_234347,c_276901]) ).
tcf(c_276911,plain,
( ( domain(h) = domain(d) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_245854,c_276901]) ).
tcf(c_276912,plain,
( ( domain(c) = domain(h) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_245289,c_276901]) ).
tcf(c_276913,plain,
( ( domain(b) = domain(h) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_245344,c_276901]) ).
tcf(c_276916,plain,
( ( domain(domain(c)) = domain(h) )
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_244252,c_276901]) ).
tcf(c_276917,plain,
( ( domain(domain(c)) = domain(h) )
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_244365,c_276901]) ).
tcf(c_276918,plain,
! [X0: $i] :
( ( domain(domain(X0)) = domain(h) )
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_239326,c_276901]) ).
tcf(c_276919,plain,
! [X0: $i] :
( ( domain(domain(X0)) = domain(h) )
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_234487,c_276901]) ).
tcf(c_276921,plain,
( ( domain(codomain(d)) = domain(h) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_237947,c_276901]) ).
tcf(c_276922,plain,
( ( domain(domain(b)) = domain(h) )
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_253500,c_276901]) ).
tcf(c_276923,plain,
( ( domain(domain(b)) = domain(h) )
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_253509,c_276901]) ).
tcf(c_276924,plain,
( ( domain(codomain(h)) = domain(h) )
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_246270,c_276901]) ).
tcf(c_276925,plain,
( ( domain(codomain(h)) = domain(h) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_246278,c_276901]) ).
tcf(c_276927,plain,
( ( domain(codomain(g)) = domain(h) )
| ~ identity_map(d)
| ~ defined(d,a) ),
inference(superposition,[status(thm)],[c_258558,c_276901]) ).
tcf(c_276928,plain,
( ( domain(codomain(g)) = domain(h) )
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_258567,c_276901]) ).
tcf(c_276929,plain,
! [X0: $i] :
( ( domain(codomain(X0)) = domain(h) )
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_237759,c_276901]) ).
tcf(c_276931,plain,
( ( domain(domain(h)) = domain(h) )
| ~ defined(g,a) ),
inference(superposition,[status(thm)],[c_255418,c_276901]) ).
tcf(c_276932,plain,
( ( domain(domain(h)) = domain(h) )
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_254948,c_276901]) ).
tcf(c_276934,plain,
! [X0: $i] :
( ( domain(codomain(compose(a,X0))) = domain(h) )
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_259762,c_276901]) ).
tcf(c_276935,plain,
! [X0: $i] :
( ( domain(compose(X0,h)) = domain(h) )
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_267078,c_276901]) ).
tcf(c_276966,plain,
! [X0: $i] :
( ( codomain(X0) = domain(h) )
| ~ identity_map(X0)
| ~ defined(X0,c) ),
inference(light_normalisation,[status(thm)],[c_276929,c_235976]) ).
tcf(c_276976,plain,
! [X0: $i] :
( ( domain(X0) = domain(h) )
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(light_normalisation,[status(thm)],[c_276918,c_235975]) ).
tcf(c_276980,plain,
! [X0: $i] :
( ( codomain(X0) = domain(h) )
| ~ identity_map(X0)
| ~ defined(X0,a) ),
inference(light_normalisation,[status(thm)],[c_276910,c_235976]) ).
tcf(c_277048,plain,
domain(codomain(b)) = codomain(b),
inference(superposition,[status(thm)],[c_85,c_244016]) ).
tcf(c_277049,plain,
! [X0: $i] :
( ( domain(domain(X0)) = codomain(b) )
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_234236,c_244016]) ).
tcf(c_277050,plain,
! [X0: $i] :
( ( domain(codomain(X0)) = codomain(b) )
| ~ identity_map(X0)
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_234347,c_244016]) ).
tcf(c_277051,plain,
domain(a) = codomain(b),
inference(superposition,[status(thm)],[c_234198,c_244016]) ).
tcf(c_277052,plain,
( ( domain(domain(c)) = codomain(b) )
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_244252,c_244016]) ).
tcf(c_277053,plain,
( ( domain(codomain(d)) = codomain(b) )
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_234469,c_244016]) ).
tcf(c_277054,plain,
( ( domain(domain(b)) = codomain(b) )
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_253500,c_244016]) ).
tcf(c_277055,plain,
( ( domain(codomain(h)) = codomain(b) )
| ~ identity_map(d)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_246270,c_244016]) ).
tcf(c_277056,plain,
( ( domain(codomain(g)) = codomain(b) )
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_258645,c_244016]) ).
tcf(c_277057,plain,
( ( domain(codomain(g)) = codomain(b) )
| ~ identity_map(d)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_258558,c_244016]) ).
tcf(c_277059,plain,
( ( domain(g) = codomain(b) )
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_237029,c_244016]) ).
tcf(c_277060,plain,
( ( domain(domain(h)) = codomain(b) )
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_255418,c_244016]) ).
tcf(c_277061,plain,
( ( domain(domain(h)) = codomain(b) )
| ~ identity_map(a)
| ~ defined(a,b) ),
inference(superposition,[status(thm)],[c_254948,c_244016]) ).
tcf(c_277062,plain,
! [X0: $i] :
( ( domain(codomain(compose(b,X0))) = codomain(b) )
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_259762,c_244016]) ).
tcf(c_277073,plain,
( ( domain(domain(h)) = codomain(b) )
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277061,c_234198]) ).
tcf(c_277089,plain,
! [X0: $i] :
( ( domain(X0) = domain(a) )
| ~ defined(X0,b) ),
inference(demodulation,[status(thm)],[c_244016,c_277051]) ).
tcf(c_277090,plain,
( ( domain(a) = domain(h) )
| ~ identity_map(a) ),
inference(demodulation,[status(thm)],[c_255672,c_277051]) ).
tcf(c_277091,plain,
( ( domain(a) = a )
| ~ identity_map(a) ),
inference(demodulation,[status(thm)],[c_244003,c_277051]) ).
tcf(c_277092,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ identity_map(X0)
| ~ defined(X0,b) ),
inference(demodulation,[status(thm)],[c_237196,c_277051]) ).
tcf(c_277093,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ product(X0,b,b) ),
inference(demodulation,[status(thm)],[c_234560,c_277051]) ).
tcf(c_277145,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_265859]) ).
tcf(c_277146,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_264787]) ).
tcf(c_277147,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_264412]) ).
tcf(c_277148,plain,
( defined(d,domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_277051,c_261377]) ).
tcf(c_277149,plain,
( defined(c,domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_277051,c_261281]) ).
tcf(c_277150,plain,
( defined(h,domain(a))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_277051,c_260764]) ).
tcf(c_277151,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_260896]) ).
tcf(c_277152,plain,
( defined(g,domain(a))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_277051,c_255819]) ).
tcf(c_277153,plain,
! [X0: $i] :
( defined(domain(a),compose(b,X0))
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_277051,c_258358]) ).
tcf(c_277154,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_245443]) ).
tcf(c_277155,plain,
( defined(d,domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_277051,c_244553]) ).
tcf(c_277156,plain,
! [X0: $i] :
( ( codomain(b) = X0 )
| ~ product(domain(a),domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_236045]) ).
tcf(c_277158,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_277051,c_237760]) ).
tcf(c_277159,plain,
( defined(domain(a),a)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_277051,c_237759]) ).
tcf(c_277161,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_235210]) ).
tcf(c_277162,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_235201]) ).
tcf(c_277163,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_235191]) ).
tcf(c_277165,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277051,c_234516]) ).
tcf(c_277166,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_277051,c_235638]) ).
tcf(c_277167,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_277051,c_235637]) ).
tcf(c_277168,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_277051,c_235634]) ).
tcf(c_277169,plain,
! [X0: $i] :
( defined(domain(a),X0)
| ~ identity_map(b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_277051,c_234347]) ).
tcf(c_277170,plain,
codomain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_277051,c_236672]) ).
tcf(c_277171,plain,
compose(domain(a),b) = b,
inference(superposition,[status(thm)],[c_277051,c_236653]) ).
tcf(c_277172,plain,
! [X0: $i] :
( ( X0 = b )
| ~ product(domain(a),b,X0) ),
inference(superposition,[status(thm)],[c_277051,c_234383]) ).
tcf(c_277173,plain,
compose(domain(a),domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_277051,c_236044]) ).
tcf(c_277174,plain,
product(domain(a),domain(a),domain(a)),
inference(superposition,[status(thm)],[c_277051,c_236052]) ).
tcf(c_277175,plain,
defined(domain(a),domain(a)),
inference(superposition,[status(thm)],[c_277051,c_236053]) ).
tcf(c_277176,plain,
domain(domain(a)) = domain(a),
inference(superposition,[status(thm)],[c_277051,c_235976]) ).
tcf(c_277177,plain,
( defined(b,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_277051,c_234745]) ).
tcf(c_277178,plain,
( defined(c,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_277051,c_234511]) ).
tcf(c_277179,plain,
( defined(b,domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_277051,c_234510]) ).
tcf(c_277180,plain,
product(domain(a),b,b),
inference(superposition,[status(thm)],[c_277051,c_87]) ).
tcf(c_277181,plain,
defined(domain(a),b),
inference(superposition,[status(thm)],[c_277051,c_85]) ).
tcf(c_277182,plain,
identity_map(domain(a)),
inference(superposition,[status(thm)],[c_277051,c_83]) ).
tcf(c_277183,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,b) ),
inference(superposition,[status(thm)],[c_277051,c_234320]) ).
tcf(c_277227,plain,
! [X0: $i] :
( ( domain(a) = X0 )
| ~ product(domain(a),domain(a),X0) ),
inference(light_normalisation,[status(thm)],[c_277156,c_277051]) ).
tcf(c_277336,plain,
defined(a,codomain(b)),
inference(superposition,[status(thm)],[c_277181,c_234798]) ).
tcf(c_277342,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,b)
| ~ defined(X0,h)
| ~ product(c,b,X1)
| ~ product(X0,d,domain(a)) ),
inference(superposition,[status(thm)],[c_277180,c_237606]) ).
tcf(c_277344,plain,
defined(codomain(domain(a)),b),
inference(superposition,[status(thm)],[c_277180,c_258349]) ).
tcf(c_277345,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),b)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(domain(a),g,X0) ),
inference(superposition,[status(thm)],[c_277180,c_237395]) ).
tcf(c_277346,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),b)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(domain(a),h,X0) ),
inference(superposition,[status(thm)],[c_277180,c_237220]) ).
tcf(c_277347,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_277180,c_80]) ).
tcf(c_277348,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_277180,c_77]) ).
tcf(c_277349,plain,
! [X0: $i,X1: $i] :
( defined(X1,b)
| ~ defined(X0,b)
| ~ product(X0,domain(a),X1) ),
inference(superposition,[status(thm)],[c_277180,c_79]) ).
tcf(c_277352,plain,
! [X0: $i,X1: $i] :
( defined(domain(a),X1)
| ~ defined(b,X0)
| ~ product(b,X0,X1) ),
inference(superposition,[status(thm)],[c_277180,c_76]) ).
tcf(c_277390,plain,
( defined(codomain(b),domain(a))
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_277171,c_259762]) ).
tcf(c_277391,plain,
( defined(codomain(domain(a)),b)
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_277171,c_258358]) ).
tcf(c_277392,plain,
( defined(b,domain(b))
| ~ defined(domain(a),b) ),
inference(superposition,[status(thm)],[c_277171,c_257269]) ).
tcf(c_277397,plain,
( defined(domain(a),domain(a))
| ~ defined(domain(a),b) ),
inference(light_normalisation,[status(thm)],[c_277390,c_277051]) ).
tcf(c_277404,plain,
( defined(c,domain(codomain(h)))
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_84,c_271131]) ).
tcf(c_277406,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_271131]) ).
tcf(c_277407,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ defined(b,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_271131]) ).
tcf(c_277410,plain,
( defined(c,h)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237761,c_271131]) ).
tcf(c_277413,plain,
( defined(c,a)
| ~ identity_map(h)
| ~ defined(h,c)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237759,c_271131]) ).
tcf(c_277415,plain,
( defined(c,g)
| ~ identity_map(h)
| ~ defined(h,d)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_237760,c_271131]) ).
tcf(c_277418,plain,
( defined(c,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_271131]) ).
tcf(c_277419,plain,
( defined(c,codomain(g))
| ~ defined(b,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_271131]) ).
tcf(c_277424,plain,
( defined(c,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),a) ),
inference(superposition,[status(thm)],[c_255131,c_271131]) ).
tcf(c_277425,plain,
( defined(c,domain(h))
| ~ defined(b,g)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_254789,c_271131]) ).
tcf(c_277427,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,codomain(h))))
| ~ defined(b,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_271131]) ).
tcf(c_277428,plain,
! [X0: $i] :
( defined(c,compose(h,X0))
| ~ defined(b,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_271131]) ).
tcf(c_277480,plain,
( defined(g,domain(codomain(h)))
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_84,c_271148]) ).
tcf(c_277482,plain,
! [X0: $i] :
( defined(g,domain(X0))
| ~ identity_map(X0)
| ~ defined(h,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_260643,c_271148]) ).
tcf(c_277483,plain,
! [X0: $i] :
( defined(g,codomain(X0))
| ~ defined(h,g)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_234320,c_271148]) ).
tcf(c_277486,plain,
( defined(g,h)
| ~ identity_map(h)
| ~ defined(h,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237761,c_271148]) ).
tcf(c_277491,plain,
( defined(g,g)
| ~ identity_map(h)
| ~ defined(h,g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_237760,c_271148]) ).
tcf(c_277494,plain,
( defined(g,codomain(g))
| ~ defined(h,g)
| ~ defined(codomain(h),h) ),
inference(superposition,[status(thm)],[c_249114,c_271148]) ).
tcf(c_277495,plain,
( defined(g,codomain(g))
| ~ defined(h,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_236326,c_271148]) ).
tcf(c_277503,plain,
! [X0: $i] :
( defined(g,domain(compose(X0,codomain(h))))
| ~ defined(h,g)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_257269,c_271148]) ).
tcf(c_277504,plain,
! [X0: $i] :
( defined(g,compose(h,X0))
| ~ defined(h,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258358,c_271148]) ).
tcf(c_277549,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(a))
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277148,c_81]) ).
tcf(c_277551,plain,
( defined(b,domain(a))
| ~ defined(b,b) ),
inference(superposition,[status(thm)],[c_277148,c_234525]) ).
tcf(c_277560,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(a))
| ~ defined(b,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277149,c_81]) ).
tcf(c_277569,plain,
! [X0: $i] :
( defined(h,X0)
| ~ identity_map(domain(a))
| ~ defined(g,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277150,c_81]) ).
tcf(c_277570,plain,
( defined(g,domain(a))
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_277150,c_255768]) ).
tcf(c_277578,plain,
! [X0: $i] :
( defined(g,X0)
| ~ identity_map(domain(a))
| ~ defined(h,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277152,c_81]) ).
tcf(c_277579,plain,
( defined(h,domain(a))
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_277152,c_260765]) ).
tcf(c_277587,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(domain(a))
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277155,c_81]) ).
tcf(c_277590,plain,
( defined(c,domain(a))
| ~ defined(c,b) ),
inference(superposition,[status(thm)],[c_277155,c_234233]) ).
tcf(c_277598,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(a))
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277177,c_81]) ).
tcf(c_277599,plain,
( defined(d,domain(a))
| ~ defined(d,b) ),
inference(superposition,[status(thm)],[c_277177,c_261117]) ).
tcf(c_277609,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(a))
| ~ defined(d,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277178,c_81]) ).
tcf(c_277618,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(domain(a))
| ~ defined(c,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277179,c_81]) ).
tcf(c_277627,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(domain(a))
| ~ defined(X1,b)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277183,c_81]) ).
tcf(c_277628,plain,
! [X0: $i] :
( defined(X0,codomain(domain(a)))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_234798]) ).
tcf(c_277629,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_234369]) ).
tcf(c_277630,plain,
! [X0: $i] :
( defined(d,domain(a))
| ~ defined(b,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_265859]) ).
tcf(c_277631,plain,
! [X0: $i] :
( defined(c,domain(a))
| ~ defined(b,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_264787]) ).
tcf(c_277632,plain,
! [X0: $i] :
( defined(h,domain(a))
| ~ defined(g,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_264412]) ).
tcf(c_277633,plain,
! [X0: $i] :
( defined(g,domain(a))
| ~ defined(h,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_260896]) ).
tcf(c_277634,plain,
! [X0: $i] :
( defined(d,domain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_245443]) ).
tcf(c_277635,plain,
! [X0: $i] :
( defined(b,domain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_235210]) ).
tcf(c_277636,plain,
! [X0: $i] :
( defined(c,domain(a))
| ~ defined(d,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_235201]) ).
tcf(c_277637,plain,
! [X0: $i] :
( defined(b,domain(a))
| ~ defined(c,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_235191]) ).
tcf(c_277638,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_277183,c_234516]) ).
tcf(c_277648,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),b) ),
inference(superposition,[status(thm)],[c_277183,c_234235]) ).
tcf(c_277653,plain,
( defined(codomain(d),domain(a))
| ~ identity_map(d)
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_266431]) ).
tcf(c_277654,plain,
( defined(codomain(g),domain(a))
| ~ identity_map(d)
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_263204]) ).
tcf(c_277655,plain,
( defined(codomain(h),domain(a))
| ~ identity_map(d)
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_263167]) ).
tcf(c_277656,plain,
( defined(d,codomain(domain(a)))
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_244426]) ).
tcf(c_277657,plain,
( defined(d,domain(a))
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_244305]) ).
tcf(c_277658,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_235792]) ).
tcf(c_277659,plain,
( defined(b,codomain(domain(a)))
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_234782]) ).
tcf(c_277660,plain,
( defined(b,domain(a))
| ~ defined(domain(c),b) ),
inference(superposition,[status(thm)],[c_277183,c_234366]) ).
tcf(c_277661,plain,
( defined(codomain(g),domain(a))
| ~ identity_map(d)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_269183]) ).
tcf(c_277662,plain,
( defined(codomain(h),domain(a))
| ~ identity_map(d)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_268557]) ).
tcf(c_277663,plain,
( defined(domain(c),domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_257986]) ).
tcf(c_277664,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_235829]) ).
tcf(c_277665,plain,
( defined(c,codomain(domain(a)))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_234754]) ).
tcf(c_277666,plain,
( defined(b,codomain(domain(a)))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_234526]) ).
tcf(c_277667,plain,
( defined(c,domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_234363]) ).
tcf(c_277668,plain,
( defined(b,domain(a))
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_234360]) ).
tcf(c_277669,plain,
( defined(g,domain(a))
| ~ defined(h,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_270443]) ).
tcf(c_277670,plain,
( defined(c,domain(a))
| ~ defined(b,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_270431]) ).
tcf(c_277671,plain,
( defined(d,domain(a))
| ~ defined(b,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_269197]) ).
tcf(c_277672,plain,
( defined(h,domain(a))
| ~ defined(g,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_268438]) ).
tcf(c_277673,plain,
( defined(b,domain(a))
| ~ defined(d,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_266985]) ).
tcf(c_277674,plain,
( defined(c,domain(a))
| ~ defined(d,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_266973]) ).
tcf(c_277675,plain,
( defined(b,domain(a))
| ~ defined(c,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_266961]) ).
tcf(c_277676,plain,
( defined(d,domain(a))
| ~ defined(c,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_266939]) ).
tcf(c_277677,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,g)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_266797]) ).
tcf(c_277678,plain,
( defined(d,domain(a))
| ~ defined(b,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_265946]) ).
tcf(c_277679,plain,
( defined(c,domain(a))
| ~ defined(b,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_265762]) ).
tcf(c_277680,plain,
( defined(h,domain(a))
| ~ defined(g,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_262651]) ).
tcf(c_277681,plain,
( defined(g,domain(a))
| ~ defined(h,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_262627]) ).
tcf(c_277682,plain,
( defined(b,domain(a))
| ~ defined(d,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_250355]) ).
tcf(c_277683,plain,
( defined(c,domain(a))
| ~ defined(d,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_250336]) ).
tcf(c_277684,plain,
( defined(b,domain(a))
| ~ defined(c,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_250324]) ).
tcf(c_277685,plain,
( defined(d,domain(a))
| ~ defined(c,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_250308]) ).
tcf(c_277686,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,h)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_249987]) ).
tcf(c_277687,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_248990]) ).
tcf(c_277688,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_248980]) ).
tcf(c_277689,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_248968]) ).
tcf(c_277690,plain,
( defined(d,codomain(domain(a)))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_277183,c_261118]) ).
tcf(c_277691,plain,
( defined(c,codomain(domain(a)))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_277183,c_260956]) ).
tcf(c_277692,plain,
( defined(d,domain(a))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_277183,c_260700]) ).
tcf(c_277693,plain,
( defined(c,domain(a))
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_277183,c_260693]) ).
tcf(c_277694,plain,
( defined(a,domain(a))
| ~ identity_map(b)
| ~ defined(domain(b),b) ),
inference(superposition,[status(thm)],[c_277183,c_235781]) ).
tcf(c_277695,plain,
( defined(g,domain(a))
| ~ defined(h,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_271148]) ).
tcf(c_277696,plain,
( defined(c,domain(a))
| ~ defined(b,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_271131]) ).
tcf(c_277697,plain,
( defined(d,domain(a))
| ~ defined(b,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_270568]) ).
tcf(c_277698,plain,
( defined(h,domain(a))
| ~ defined(g,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_268426]) ).
tcf(c_277699,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_267862]) ).
tcf(c_277700,plain,
( defined(b,domain(a))
| ~ defined(c,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_267664]) ).
tcf(c_277701,plain,
( defined(d,domain(a))
| ~ defined(c,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_267043]) ).
tcf(c_277702,plain,
( defined(c,domain(a))
| ~ defined(d,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_267016]) ).
tcf(c_277703,plain,
( defined(b,domain(a))
| ~ defined(d,g)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_267002]) ).
tcf(c_277704,plain,
( defined(d,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_265897]) ).
tcf(c_277705,plain,
( defined(c,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_264805]) ).
tcf(c_277706,plain,
( defined(h,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_264339]) ).
tcf(c_277707,plain,
( defined(g,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_260935]) ).
tcf(c_277708,plain,
( defined(codomain(d),domain(a))
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_260719]) ).
tcf(c_277709,plain,
( defined(d,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_245480]) ).
tcf(c_277710,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_244979]) ).
tcf(c_277711,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_244967]) ).
tcf(c_277712,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_244940]) ).
tcf(c_277713,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_236811]) ).
tcf(c_277714,plain,
( defined(b,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_236268]) ).
tcf(c_277715,plain,
( defined(c,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_235849]) ).
tcf(c_277716,plain,
( defined(b,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_235440]) ).
tcf(c_277717,plain,
( defined(d,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_265921]) ).
tcf(c_277718,plain,
( defined(d,domain(a))
| ~ defined(b,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_265909]) ).
tcf(c_277719,plain,
( defined(c,domain(a))
| ~ defined(b,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_265687]) ).
tcf(c_277720,plain,
( defined(c,domain(a))
| ~ defined(b,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_265673]) ).
tcf(c_277721,plain,
( defined(h,domain(a))
| ~ defined(g,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_264351]) ).
tcf(c_277722,plain,
( defined(h,domain(a))
| ~ defined(g,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_262639]) ).
tcf(c_277723,plain,
( defined(g,domain(a))
| ~ defined(h,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_262582]) ).
tcf(c_277724,plain,
( defined(g,domain(a))
| ~ defined(h,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_262570]) ).
tcf(c_277725,plain,
( defined(codomain(d),domain(a))
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_262549]) ).
tcf(c_277726,plain,
( defined(d,domain(a))
| ~ defined(c,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_250867]) ).
tcf(c_277727,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_250593]) ).
tcf(c_277728,plain,
( defined(b,domain(a))
| ~ defined(c,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_250457]) ).
tcf(c_277729,plain,
( defined(c,domain(a))
| ~ defined(d,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_250444]) ).
tcf(c_277730,plain,
( defined(b,domain(a))
| ~ defined(d,h)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_250368]) ).
tcf(c_277731,plain,
( defined(d,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_245494]) ).
tcf(c_277732,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_249027]) ).
tcf(c_277733,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_249015]) ).
tcf(c_277734,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_249003]) ).
tcf(c_277735,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ defined(X0,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_236889]) ).
tcf(c_277736,plain,
( defined(b,domain(a))
| ~ defined(c,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_236304]) ).
tcf(c_277737,plain,
( defined(c,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_235872]) ).
tcf(c_277738,plain,
( defined(b,domain(a))
| ~ defined(d,d)
| ~ defined(codomain(g),b) ),
inference(superposition,[status(thm)],[c_277183,c_235449]) ).
tcf(c_277741,plain,
( defined(g,codomain(domain(a)))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_254773]) ).
tcf(c_277742,plain,
( defined(d,domain(a))
| ~ defined(b,c)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_266404]) ).
tcf(c_277743,plain,
( defined(d,domain(a))
| ~ defined(b,a)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_266384]) ).
tcf(c_277744,plain,
( defined(c,domain(a))
| ~ defined(b,c)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_265829]) ).
tcf(c_277745,plain,
( defined(c,domain(a))
| ~ defined(b,a)
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_265799]) ).
tcf(c_277746,plain,
( defined(g,domain(a))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_277183,c_254774]) ).
tcf(c_278684,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X1)
| ~ defined(X0,d)
| ~ product(X0,g,X2)
| ~ product(c,domain(compose(X0,d)),X1) ),
inference(superposition,[status(thm)],[c_84,c_238319]) ).
tcf(c_278685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X1)
| ~ identity_map(X0)
| ~ defined(X2,d)
| ~ product(X2,g,X3)
| ~ defined(compose(X2,d),X0)
| ~ product(c,domain(X0),X1) ),
inference(superposition,[status(thm)],[c_260643,c_238319]) ).
tcf(c_278686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X1)
| ~ defined(X2,d)
| ~ product(X2,g,X3)
| ~ defined(compose(X2,d),X0)
| ~ product(c,codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234320,c_238319]) ).
tcf(c_278687,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),g)
| ~ product(c,codomain(h),X0) ),
inference(superposition,[status(thm)],[c_263636,c_238319]) ).
tcf(c_278688,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),d)
| ~ product(c,codomain(h),X0) ),
inference(superposition,[status(thm)],[c_236325,c_238319]) ).
tcf(c_278689,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),h)
| ~ product(c,codomain(g),X0) ),
inference(superposition,[status(thm)],[c_249114,c_238319]) ).
tcf(c_278690,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),d)
| ~ product(c,codomain(g),X0) ),
inference(superposition,[status(thm)],[c_236326,c_238319]) ).
tcf(c_278691,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(domain(compose(X1,d)),d)
| ~ product(c,compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237655,c_238319]) ).
tcf(c_278692,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),d)
| ~ product(c,compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237509,c_238319]) ).
tcf(c_278693,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),g)
| ~ product(c,codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263604,c_238319]) ).
tcf(c_278694,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),h)
| ~ product(c,codomain(d),X0) ),
inference(superposition,[status(thm)],[c_249084,c_238319]) ).
tcf(c_278695,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),a)
| ~ product(c,domain(h),X0) ),
inference(superposition,[status(thm)],[c_255131,c_238319]) ).
tcf(c_278696,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),c)
| ~ product(c,domain(h),X0) ),
inference(superposition,[status(thm)],[c_254789,c_238319]) ).
tcf(c_278697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ defined(X1,d)
| ~ product(X1,g,X3)
| ~ defined(X0,compose(X1,d))
| ~ product(c,domain(compose(X0,compose(X1,d))),X2) ),
inference(superposition,[status(thm)],[c_257269,c_238319]) ).
tcf(c_278698,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),b)
| ~ product(c,domain(a),X0) ),
inference(superposition,[status(thm)],[c_277183,c_238319]) ).
tcf(c_278699,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ product(c,domain(d),X0) ),
inference(superposition,[status(thm)],[c_260639,c_238319]) ).
tcf(c_278700,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),d)
| ~ product(c,compose(codomain(d),h),X0) ),
inference(superposition,[status(thm)],[c_264825,c_238319]) ).
tcf(c_278701,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ defined(codomain(d),d)
| ~ product(c,X1,X2)
| ~ product(codomain(d),g,X0) ),
inference(superposition,[status(thm)],[c_236653,c_238319]) ).
tcf(c_278702,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ defined(codomain(h),d)
| ~ product(c,X1,X2)
| ~ product(codomain(h),g,X0) ),
inference(superposition,[status(thm)],[c_245972,c_238319]) ).
tcf(c_278711,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ product(c,X1,X2)
| ~ product(codomain(h),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278702,c_246238]) ).
tcf(c_278716,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ product(c,X1,X2)
| ~ product(codomain(d),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278701,c_85]) ).
tcf(c_278813,plain,
( defined(codomain(d),domain(domain(d)))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_84,c_271928]) ).
tcf(c_278814,plain,
! [X0: $i] :
( defined(codomain(d),domain(X0))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_260643,c_271928]) ).
tcf(c_278816,plain,
! [X0: $i] :
( defined(codomain(d),codomain(X0))
| ~ identity_map(d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_234320,c_271928]) ).
tcf(c_278817,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239326,c_271928]) ).
tcf(c_278827,plain,
( defined(codomain(d),d)
| ~ identity_map(d)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_253834,c_271928]) ).
tcf(c_278831,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_239384,c_271928]) ).
tcf(c_278841,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),g) ),
inference(superposition,[status(thm)],[c_263604,c_271928]) ).
tcf(c_278842,plain,
( defined(codomain(d),codomain(d))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_249084,c_271928]) ).
tcf(c_278843,plain,
( defined(codomain(d),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),a) ),
inference(superposition,[status(thm)],[c_255131,c_271928]) ).
tcf(c_278844,plain,
( defined(codomain(d),domain(h))
| ~ identity_map(d)
| ~ defined(domain(d),c) ),
inference(superposition,[status(thm)],[c_254789,c_271928]) ).
tcf(c_278845,plain,
! [X0: $i] :
( defined(codomain(d),domain(compose(X0,domain(d))))
| ~ identity_map(d)
| ~ defined(X0,domain(d)) ),
inference(superposition,[status(thm)],[c_257269,c_271928]) ).
tcf(c_278846,plain,
( defined(codomain(d),domain(a))
| ~ identity_map(d)
| ~ defined(domain(d),b) ),
inference(superposition,[status(thm)],[c_277183,c_271928]) ).
tcf(c_278906,plain,
compose(codomain(g),d) = d,
inference(superposition,[status(thm)],[c_95,c_276009]) ).
tcf(c_278907,plain,
( ( compose(codomain(g),d) = compose(g,c) )
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_73,c_276009]) ).
tcf(c_278910,plain,
! [X0: $i] :
( ( compose(codomain(g),d) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252415,c_276009]) ).
tcf(c_278912,plain,
! [X0: $i] :
( ( compose(codomain(g),d) = compose(X0,d) )
| ~ defined(X0,d)
| ~ product(X0,g,g) ),
inference(superposition,[status(thm)],[c_237174,c_276009]) ).
tcf(c_278913,plain,
( ( compose(codomain(g),d) = domain(c) )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_250895,c_276009]) ).
tcf(c_278914,plain,
! [X0: $i] :
( ( compose(codomain(g),d) = compose(d,X0) )
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252127,c_276009]) ).
tcf(c_278915,plain,
( ( compose(codomain(g),d) = compose(g,d) )
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_269236,c_276009]) ).
tcf(c_278916,plain,
( ( compose(codomain(g),d) = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_271228,c_276009]) ).
tcf(c_278919,plain,
( ( compose(codomain(g),d) = d )
| ~ defined(g,c) ),
inference(light_normalisation,[status(thm)],[c_278907,c_235154]) ).
tcf(c_278951,plain,
( defined(codomain(codomain(g)),d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_278906,c_258358]) ).
tcf(c_278952,plain,
( defined(d,domain(d))
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_278906,c_257269]) ).
tcf(c_278954,plain,
( product(codomain(g),d,d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_278906,c_73]) ).
tcf(c_278956,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ defined(codomain(g),d)
| ~ product(c,X1,X2)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_238319]) ).
tcf(c_278957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ defined(codomain(g),d)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_238315]) ).
tcf(c_278958,plain,
( product(codomain(g),c,d)
| ~ identity_map(h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_278906,c_269236]) ).
tcf(c_278960,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ defined(codomain(g),d)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_237174]) ).
tcf(c_278961,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ defined(codomain(g),d)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_238318]) ).
tcf(c_278962,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ defined(codomain(g),d)
| ~ product(X1,X0,X2)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_238316]) ).
tcf(c_278963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ defined(codomain(g),d)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278906,c_238314]) ).
tcf(c_278964,plain,
product(codomain(g),d,d),
inference(forward_subsumption_resolution,[status(thm)],[c_278954,c_258357]) ).
tcf(c_278965,plain,
defined(codomain(codomain(g)),d),
inference(forward_subsumption_resolution,[status(thm)],[c_278951,c_258357]) ).
tcf(c_278966,plain,
( product(codomain(g),c,d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278958,c_258357]) ).
tcf(c_278969,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278960,c_258357]) ).
tcf(c_278972,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278961,c_258357]) ).
tcf(c_278976,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(X1,d)
| ~ product(X1,X0,X2)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278962,c_258357]) ).
tcf(c_278981,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X0,X2)
| ~ defined(d,X1)
| ~ product(c,X1,X2)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278956,c_258357]) ).
tcf(c_278986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ product(X1,d,X3)
| ~ product(X1,X0,X2)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278963,c_258357]) ).
tcf(c_278991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(d,X1,X3)
| ~ product(c,X1,X2)
| ~ product(codomain(g),g,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278957,c_258357]) ).
tcf(c_279326,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,d,X1)
| ~ product(X0,d,codomain(g)) ),
inference(superposition,[status(thm)],[c_278964,c_237606]) ).
tcf(c_279329,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,d)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278964,c_237395]) ).
tcf(c_279330,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,d)
| ~ product(codomain(g),h,X0) ),
inference(superposition,[status(thm)],[c_278964,c_237220]) ).
tcf(c_279331,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,d,X2)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(g),X1) ),
inference(superposition,[status(thm)],[c_278964,c_80]) ).
tcf(c_279332,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(g),X1,X2)
| ~ product(d,X0,X2)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_278964,c_77]) ).
tcf(c_279333,plain,
! [X0: $i,X1: $i] :
( defined(X1,d)
| ~ defined(X0,d)
| ~ product(X0,codomain(g),X1) ),
inference(superposition,[status(thm)],[c_278964,c_79]) ).
tcf(c_279334,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(codomain(g),d,X0) ),
inference(superposition,[status(thm)],[c_278964,c_90]) ).
tcf(c_279336,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ defined(d,X0)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_278964,c_76]) ).
tcf(c_279340,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(g),h),X1)
| ~ defined(d,X0)
| ~ defined(codomain(g),h)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_278964,c_237610]) ).
tcf(c_279341,plain,
! [X0: $i] :
( defined(X0,compose(codomain(g),h))
| ~ defined(X0,d)
| ~ defined(codomain(g),h) ),
inference(superposition,[status(thm)],[c_278964,c_237609]) ).
tcf(c_279353,plain,
! [X0: $i] :
( defined(X0,compose(codomain(g),h))
| ~ defined(X0,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279341,c_258569]) ).
tcf(c_279362,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(g),h),X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279340,c_258569]) ).
tcf(c_279383,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ identity_map(h)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,codomain(g)) ),
inference(superposition,[status(thm)],[c_278966,c_237606]) ).
tcf(c_279385,plain,
( defined(codomain(codomain(g)),d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_278966,c_258349]) ).
tcf(c_279386,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(g),g,X0) ),
inference(superposition,[status(thm)],[c_278966,c_237395]) ).
tcf(c_279387,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ identity_map(h)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(codomain(g),h,X0) ),
inference(superposition,[status(thm)],[c_278966,c_237220]) ).
tcf(c_279388,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ identity_map(h)
| ~ product(X0,d,X2)
| ~ product(X0,codomain(g),X1) ),
inference(superposition,[status(thm)],[c_278966,c_80]) ).
tcf(c_279389,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(codomain(g),X1,X2)
| ~ identity_map(h)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_278966,c_77]) ).
tcf(c_279390,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,codomain(g),X1) ),
inference(superposition,[status(thm)],[c_278966,c_79]) ).
tcf(c_279391,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(h)
| ~ product(codomain(g),c,X0) ),
inference(superposition,[status(thm)],[c_278966,c_90]) ).
tcf(c_279392,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(h)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_278966,c_78]) ).
tcf(c_279393,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ identity_map(h)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_278966,c_76]) ).
tcf(c_279549,plain,
! [X0: $i] :
( defined(domain(X0),domain(a))
| ~ defined(domain(X0),b) ),
inference(superposition,[status(thm)],[c_235975,c_277629]) ).
tcf(c_279550,plain,
! [X0: $i] :
( defined(codomain(X0),domain(a))
| ~ defined(codomain(X0),b) ),
inference(superposition,[status(thm)],[c_235976,c_277629]) ).
tcf(c_279552,plain,
( defined(compose(codomain(d),g),domain(a))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_255960,c_277629]) ).
tcf(c_279576,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(global_subsumption_just,[status(thm)],[c_238320,c_67756]) ).
tcf(c_279585,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(X1))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_260643,c_279576]) ).
tcf(c_279586,plain,
! [X0: $i,X1: $i] :
( defined(c,codomain(X1))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_234320,c_279576]) ).
tcf(c_279587,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),g) ),
inference(superposition,[status(thm)],[c_263636,c_279576]) ).
tcf(c_279588,plain,
! [X0: $i] :
( defined(c,codomain(h))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_236325,c_279576]) ).
tcf(c_279589,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),h) ),
inference(superposition,[status(thm)],[c_249114,c_279576]) ).
tcf(c_279590,plain,
! [X0: $i] :
( defined(c,codomain(g))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_236326,c_279576]) ).
tcf(c_279591,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(X0,d)
| ~ defined(domain(compose(X0,d)),d) ),
inference(superposition,[status(thm)],[c_237655,c_279576]) ).
tcf(c_279592,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_237509,c_279576]) ).
tcf(c_279593,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),g) ),
inference(superposition,[status(thm)],[c_263604,c_279576]) ).
tcf(c_279594,plain,
! [X0: $i] :
( defined(c,codomain(d))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),h) ),
inference(superposition,[status(thm)],[c_249084,c_279576]) ).
tcf(c_279595,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),a) ),
inference(superposition,[status(thm)],[c_255131,c_279576]) ).
tcf(c_279596,plain,
! [X0: $i] :
( defined(c,domain(h))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),c) ),
inference(superposition,[status(thm)],[c_254789,c_279576]) ).
tcf(c_279597,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(X0,compose(X1,d))))
| ~ defined(X1,d)
| ~ defined(X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_257269,c_279576]) ).
tcf(c_279598,plain,
! [X0: $i] :
( defined(c,domain(a))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),b) ),
inference(superposition,[status(thm)],[c_277183,c_279576]) ).
tcf(c_279600,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),h))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_264825,c_279576]) ).
tcf(c_279722,plain,
( ( codomain(g) = d )
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_89,c_279334]) ).
tcf(c_279724,plain,
( ( codomain(g) = d )
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279722,c_258357]) ).
tcf(c_279750,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,codomain(X1)),X1)
| ~ defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_73,c_234600]) ).
tcf(c_279752,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X1),X1)
| ~ identity_map(X0)
| ~ defined(X0,X1)
| ~ defined(X0,codomain(X1)) ),
inference(superposition,[status(thm)],[c_88,c_234600]) ).
tcf(c_280049,plain,
( ( domain(a) = domain(c) )
| ~ defined(d,b) ),
inference(light_normalisation,[status(thm)],[c_244410,c_277051]) ).
tcf(c_280056,plain,
( ( domain(c) = domain(h) )
| ~ defined(d,a) ),
inference(light_normalisation,[status(thm)],[c_244413,c_254670]) ).
tcf(c_280083,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ defined(codomain(d),d)
| ~ product(d,c,X0)
| ~ product(codomain(d),g,c) ),
inference(superposition,[status(thm)],[c_236653,c_238322]) ).
tcf(c_280084,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ defined(codomain(h),d)
| ~ product(d,c,X0)
| ~ product(codomain(h),g,c) ),
inference(superposition,[status(thm)],[c_245972,c_238322]) ).
tcf(c_280085,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ defined(codomain(g),d)
| ~ product(d,c,X0)
| ~ product(codomain(g),g,c) ),
inference(superposition,[status(thm)],[c_278906,c_238322]) ).
tcf(c_280086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X2,h),X1,X3)
| ~ defined(X2,h)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X2,d,g)
| ~ product(X0,g,c)
| ~ product(c,compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238322,c_237606]) ).
tcf(c_280087,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(compose(X0,d)))
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238322,c_260630]) ).
tcf(c_280088,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238322,c_258349]) ).
tcf(c_280089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(g,g,X3)
| ~ product(d,c,X2)
| ~ product(X1,g,c)
| ~ product(d,X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_238322,c_237395]) ).
tcf(c_280090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),X2)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(g,h,X3)
| ~ product(d,c,X2)
| ~ product(X1,g,c)
| ~ product(d,X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_238322,c_237220]) ).
tcf(c_280091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,compose(X4,d),X2)
| ~ defined(X4,d)
| ~ product(d,c,X1)
| ~ product(X4,g,c)
| ~ product(X0,g,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_238322,c_80]) ).
tcf(c_280092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(g,X2,X4)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(X3,X1,X4)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_238322,c_77]) ).
tcf(c_280093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,compose(X2,d))
| ~ defined(X2,d)
| ~ defined(X0,X3)
| ~ product(d,c,X3)
| ~ product(X2,g,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238322,c_79]) ).
tcf(c_280094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,d)
| ~ product(d,c,X2)
| ~ product(X0,g,c)
| ~ product(g,compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238322,c_90]) ).
tcf(c_280095,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,g)
| ~ defined(X0,d)
| ~ defined(X2,X1)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238322,c_78]) ).
tcf(c_280096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(g,X2)
| ~ defined(X0,d)
| ~ defined(X3,X1)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_238322,c_76]) ).
tcf(c_280097,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X0,d),X2)
| ~ defined(X0,d)
| ~ defined(X1,X2)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238322,c_75]) ).
tcf(c_280098,plain,
! [X0: $i,X1: $i] :
( defined(g,compose(X0,d))
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238322,c_74]) ).
tcf(c_280099,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ defined(c,d)
| ~ product(c,g,c)
| ~ product(d,d,X1)
| ~ product(d,c,X0) ),
inference(superposition,[status(thm)],[c_238322,c_237398]) ).
tcf(c_280100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(g,X1,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238322,c_238314]) ).
tcf(c_280113,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(g),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280085,c_258357]) ).
tcf(c_280117,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(h),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280084,c_246238]) ).
tcf(c_280121,plain,
! [X0: $i] :
( product(g,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(d),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280083,c_85]) ).
tcf(c_280198,plain,
! [X0: $i] :
( defined(compose(X0,h),c)
| ~ defined(X0,d) ),
inference(global_subsumption_just,[status(thm)],[c_235321,c_757,c_1889]) ).
tcf(c_280207,plain,
! [X0: $i] :
( defined(compose(X0,h),a)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_280198,c_234315]) ).
tcf(c_280210,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_235567,c_57771]) ).
tcf(c_280219,plain,
! [X0: $i] :
( defined(compose(X0,g),a)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_280210,c_234315]) ).
tcf(c_280222,plain,
( ~ identity_map(a)
| ~ identity_map(b) ),
inference(global_subsumption_just,[status(thm)],[c_237117,c_685,c_185667,c_241799,c_274940]) ).
tcf(c_280223,plain,
( ~ identity_map(b)
| ~ identity_map(a) ),
inference(renaming,[status(thm)],[c_280222]) ).
tcf(c_280233,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,h),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_280207,c_81]) ).
tcf(c_280235,plain,
! [X0: $i] :
( ( domain(compose(X0,h)) = domain(h) )
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_280207,c_276901]) ).
tcf(c_280248,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,g),X1)
| ~ identity_map(a)
| ~ defined(a,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_280219,c_81]) ).
tcf(c_280250,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(h) )
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_280219,c_276901]) ).
tcf(c_280269,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_244567,c_81]) ).
tcf(c_280273,plain,
( defined(d,codomain(d))
| ~ defined(c,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_244567,c_234318]) ).
tcf(c_280279,plain,
( ( domain(c) = domain(h) )
| ~ defined(d,c) ),
inference(light_normalisation,[status(thm)],[c_244679,c_254670]) ).
tcf(c_280293,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(codomain(h))
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_244933,c_81]) ).
tcf(c_280296,plain,
( defined(domain(a),h)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_244933,c_251612]) ).
tcf(c_280301,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ defined(codomain(h),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280293,c_83]) ).
tcf(c_280314,plain,
( product(compose(codomain(h),g),c,d)
| ~ defined(codomain(h),g) ),
inference(superposition,[status(thm)],[c_73,c_246241]) ).
tcf(c_280317,plain,
product(compose(codomain(h),g),c,d),
inference(forward_subsumption_resolution,[status(thm)],[c_280314,c_246279]) ).
tcf(c_280318,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280317,c_237606]) ).
tcf(c_280320,plain,
defined(codomain(compose(codomain(h),g)),d),
inference(superposition,[status(thm)],[c_280317,c_258349]) ).
tcf(c_280321,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(compose(codomain(h),g),g,X0) ),
inference(superposition,[status(thm)],[c_280317,c_237395]) ).
tcf(c_280322,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(compose(codomain(h),g),h,X0) ),
inference(superposition,[status(thm)],[c_280317,c_237220]) ).
tcf(c_280323,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,c,X2)
| ~ product(X0,d,X2)
| ~ product(X0,compose(codomain(h),g),X1) ),
inference(superposition,[status(thm)],[c_280317,c_80]) ).
tcf(c_280324,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(codomain(h),g),X1,X2)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_280317,c_77]) ).
tcf(c_280325,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(X0,d)
| ~ product(X0,compose(codomain(h),g),X1) ),
inference(superposition,[status(thm)],[c_280317,c_79]) ).
tcf(c_280326,plain,
! [X0: $i] :
( ( X0 = d )
| ~ product(compose(codomain(h),g),c,X0) ),
inference(superposition,[status(thm)],[c_280317,c_90]) ).
tcf(c_280327,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_280317,c_78]) ).
tcf(c_280328,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),g),X1)
| ~ defined(d,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_280317,c_76]) ).
tcf(c_280330,plain,
defined(compose(codomain(h),g),c),
inference(superposition,[status(thm)],[c_280317,c_74]) ).
tcf(c_280367,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ defined(codomain(d),d)
| ~ product(d,c,X0)
| ~ product(codomain(d),g,c) ),
inference(superposition,[status(thm)],[c_236653,c_238323]) ).
tcf(c_280368,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ defined(codomain(h),d)
| ~ product(d,c,X0)
| ~ product(codomain(h),g,c) ),
inference(superposition,[status(thm)],[c_245972,c_238323]) ).
tcf(c_280369,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ defined(codomain(g),d)
| ~ product(d,c,X0)
| ~ product(codomain(g),g,c) ),
inference(superposition,[status(thm)],[c_278906,c_238323]) ).
tcf(c_280370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X2,h),X1,X3)
| ~ defined(X2,h)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X2,d,h)
| ~ product(X0,g,c)
| ~ product(c,compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238323,c_237606]) ).
tcf(c_280372,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238323,c_258349]) ).
tcf(c_280373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,compose(c,X0),X3)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(d,c,X3)
| ~ product(h,g,X2)
| ~ product(X1,g,c)
| ~ product(d,X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_238323,c_237395]) ).
tcf(c_280374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,compose(c,X0),X3)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(d,c,X3)
| ~ product(h,h,X2)
| ~ product(X1,g,c)
| ~ product(d,X0,compose(X1,d)) ),
inference(superposition,[status(thm)],[c_238323,c_237220]) ).
tcf(c_280375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X3,compose(X4,d),X2)
| ~ defined(X4,d)
| ~ product(d,c,X1)
| ~ product(X4,g,c)
| ~ product(X0,h,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_238323,c_80]) ).
tcf(c_280376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(h,X2,X4)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(X3,X1,X4)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_238323,c_77]) ).
tcf(c_280377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X1,compose(X2,d))
| ~ defined(X2,d)
| ~ defined(X0,X3)
| ~ product(d,c,X3)
| ~ product(X2,g,c)
| ~ product(X0,h,X1) ),
inference(superposition,[status(thm)],[c_238323,c_79]) ).
tcf(c_280378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ defined(X0,d)
| ~ product(d,c,X2)
| ~ product(X0,g,c)
| ~ product(h,compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238323,c_90]) ).
tcf(c_280379,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,h)
| ~ defined(X0,d)
| ~ defined(X2,X1)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238323,c_78]) ).
tcf(c_280380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(h,X2)
| ~ defined(X0,d)
| ~ defined(X3,X1)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(compose(X0,d),X1,X2) ),
inference(superposition,[status(thm)],[c_238323,c_76]) ).
tcf(c_280382,plain,
! [X0: $i,X1: $i] :
( defined(h,compose(X0,d))
| ~ defined(X0,d)
| ~ product(d,c,X1)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238323,c_74]) ).
tcf(c_280384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ defined(X0,d)
| ~ product(d,c,X3)
| ~ product(X0,g,c)
| ~ product(h,X1,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238323,c_238314]) ).
tcf(c_280393,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(g),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280369,c_258357]) ).
tcf(c_280397,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(h),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280368,c_246238]) ).
tcf(c_280401,plain,
! [X0: $i] :
( product(h,d,X0)
| ~ product(d,c,X0)
| ~ product(codomain(d),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280367,c_85]) ).
tcf(c_280468,plain,
defined(compose(codomain(h),g),a),
inference(superposition,[status(thm)],[c_280330,c_234315]) ).
tcf(c_280473,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,d)
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280327,c_81]) ).
tcf(c_280474,plain,
! [X0: $i] :
( defined(X0,codomain(compose(codomain(h),g)))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_234798]) ).
tcf(c_280475,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_234369]) ).
tcf(c_280476,plain,
! [X0: $i] :
( defined(d,compose(codomain(h),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_265859]) ).
tcf(c_280477,plain,
! [X0: $i] :
( defined(c,compose(codomain(h),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_264787]) ).
tcf(c_280478,plain,
! [X0: $i] :
( defined(h,compose(codomain(h),g))
| ~ defined(g,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_264412]) ).
tcf(c_280479,plain,
! [X0: $i] :
( defined(g,compose(codomain(h),g))
| ~ defined(h,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_260896]) ).
tcf(c_280480,plain,
! [X0: $i] :
( defined(d,compose(codomain(h),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_245443]) ).
tcf(c_280481,plain,
! [X0: $i] :
( defined(b,compose(codomain(h),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_235210]) ).
tcf(c_280482,plain,
! [X0: $i] :
( defined(c,compose(codomain(h),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_235201]) ).
tcf(c_280483,plain,
! [X0: $i] :
( defined(b,compose(codomain(h),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_235191]) ).
tcf(c_280484,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(h),g))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),d) ),
inference(superposition,[status(thm)],[c_280327,c_234516]) ).
tcf(c_280485,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_280327,c_244425]) ).
tcf(c_280486,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_280327,c_238529]) ).
tcf(c_280487,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_280327,c_234232]) ).
tcf(c_280488,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_280327,c_261117]) ).
tcf(c_280489,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_280327,c_260955]) ).
tcf(c_280490,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_280327,c_234348]) ).
tcf(c_280491,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_280327,c_238589]) ).
tcf(c_280492,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_280327,c_234525]) ).
tcf(c_280493,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_280327,c_234233]) ).
tcf(c_280494,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(h),g))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),d) ),
inference(superposition,[status(thm)],[c_280327,c_234235]) ).
tcf(c_280496,plain,
( defined(g,compose(codomain(h),g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_280327,c_234456]) ).
tcf(c_280497,plain,
( defined(h,compose(codomain(h),g))
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_280327,c_234446]) ).
tcf(c_280498,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_280327,c_255768]) ).
tcf(c_280499,plain,
( defined(h,compose(codomain(h),g))
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_280327,c_260765]) ).
tcf(c_280501,plain,
( defined(codomain(g),compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_263204]) ).
tcf(c_280502,plain,
( defined(codomain(h),compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_263167]) ).
tcf(c_280503,plain,
( defined(d,codomain(compose(codomain(h),g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_244426]) ).
tcf(c_280504,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_244305]) ).
tcf(c_280505,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_235792]) ).
tcf(c_280506,plain,
( defined(b,codomain(compose(codomain(h),g)))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_234782]) ).
tcf(c_280507,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_280327,c_234366]) ).
tcf(c_280509,plain,
( defined(codomain(g),compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_269183]) ).
tcf(c_280510,plain,
( defined(codomain(h),compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_268557]) ).
tcf(c_280511,plain,
( defined(domain(c),compose(codomain(h),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_257986]) ).
tcf(c_280512,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_235829]) ).
tcf(c_280513,plain,
( defined(c,codomain(compose(codomain(h),g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_234754]) ).
tcf(c_280514,plain,
( defined(b,codomain(compose(codomain(h),g)))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_234526]) ).
tcf(c_280515,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_234363]) ).
tcf(c_280516,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_280327,c_234360]) ).
tcf(c_280538,plain,
( defined(d,codomain(compose(codomain(h),g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_280327,c_261118]) ).
tcf(c_280539,plain,
( defined(c,codomain(compose(codomain(h),g)))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_280327,c_260956]) ).
tcf(c_280540,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_280327,c_260700]) ).
tcf(c_280541,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_280327,c_260693]) ).
tcf(c_280542,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(b)
| ~ defined(domain(b),d) ),
inference(superposition,[status(thm)],[c_280327,c_235781]) ).
tcf(c_280543,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(h,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_271148]) ).
tcf(c_280544,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_271131]) ).
tcf(c_280545,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_270568]) ).
tcf(c_280546,plain,
( defined(h,compose(codomain(h),g))
| ~ defined(g,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_268426]) ).
tcf(c_280547,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(X0,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_267862]) ).
tcf(c_280548,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(c,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_267664]) ).
tcf(c_280549,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(c,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_267043]) ).
tcf(c_280550,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(d,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_267016]) ).
tcf(c_280551,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(d,g)
| ~ defined(codomain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_267002]) ).
tcf(c_280566,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_265909]) ).
tcf(c_280568,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_265673]) ).
tcf(c_280570,plain,
( defined(h,compose(codomain(h),g))
| ~ defined(g,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_262639]) ).
tcf(c_280572,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(h,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_262570]) ).
tcf(c_280573,plain,
( defined(codomain(d),compose(codomain(h),g))
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_262549]) ).
tcf(c_280574,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_250867]) ).
tcf(c_280575,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(X0,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_250593]) ).
tcf(c_280576,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(c,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_250457]) ).
tcf(c_280577,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_250444]) ).
tcf(c_280578,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(d,h)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_250368]) ).
tcf(c_280580,plain,
( defined(d,compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_249027]) ).
tcf(c_280581,plain,
( defined(c,compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_249015]) ).
tcf(c_280582,plain,
( defined(b,compose(codomain(h),g))
| ~ identity_map(d)
| ~ defined(codomain(g),d) ),
inference(superposition,[status(thm)],[c_280327,c_249003]) ).
tcf(c_280587,plain,
( defined(g,compose(codomain(h),g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_280327,c_237155]) ).
tcf(c_280588,plain,
( defined(h,compose(codomain(h),g))
| ~ identity_map(a)
| ~ defined(domain(a),d) ),
inference(superposition,[status(thm)],[c_280327,c_237017]) ).
tcf(c_280589,plain,
! [X0: $i] :
( defined(c,compose(codomain(h),g))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),d) ),
inference(superposition,[status(thm)],[c_280327,c_279576]) ).
tcf(c_280590,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),d)
| ~ product(c,compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280327,c_238319]) ).
tcf(c_280591,plain,
( defined(g,codomain(compose(codomain(h),g)))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_254773]) ).
tcf(c_280592,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_266404]) ).
tcf(c_280593,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_266384]) ).
tcf(c_280594,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_265829]) ).
tcf(c_280595,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,a)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_265799]) ).
tcf(c_280596,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_280327,c_254774]) ).
tcf(c_280631,plain,
defined(codomain(d),compose(codomain(h),g)),
inference(forward_subsumption_resolution,[status(thm)],[c_280573,c_258357]) ).
tcf(c_280669,plain,
( defined(b,compose(codomain(h),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280582,c_258357]) ).
tcf(c_280672,plain,
( defined(c,compose(codomain(h),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280581,c_258357]) ).
tcf(c_280675,plain,
( defined(d,compose(codomain(h),g))
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280580,c_258357]) ).
tcf(c_280699,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280578,c_258357]) ).
tcf(c_280702,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(d,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280577,c_258357]) ).
tcf(c_280705,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280576,c_258357]) ).
tcf(c_280708,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(X0,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280575,c_258357]) ).
tcf(c_280711,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(c,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280574,c_258357]) ).
tcf(c_280714,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(h,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280572,c_258357]) ).
tcf(c_280717,plain,
( defined(h,compose(codomain(h),g))
| ~ defined(g,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280570,c_258357]) ).
tcf(c_280720,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280568,c_258357]) ).
tcf(c_280723,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280566,c_258357]) ).
tcf(c_280726,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(d,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280551,c_246238]) ).
tcf(c_280729,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(d,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280550,c_246238]) ).
tcf(c_280732,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(c,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280549,c_246238]) ).
tcf(c_280735,plain,
( defined(b,compose(codomain(h),g))
| ~ defined(c,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280548,c_246238]) ).
tcf(c_280738,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ defined(X0,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280547,c_246238]) ).
tcf(c_280741,plain,
( defined(h,compose(codomain(h),g))
| ~ defined(g,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280546,c_246238]) ).
tcf(c_280744,plain,
( defined(d,compose(codomain(h),g))
| ~ defined(b,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280545,c_246238]) ).
tcf(c_280747,plain,
( defined(c,compose(codomain(h),g))
| ~ defined(b,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280544,c_246238]) ).
tcf(c_280750,plain,
( defined(g,compose(codomain(h),g))
| ~ defined(h,g) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280543,c_246238]) ).
tcf(c_281075,plain,
( ( compose(compose(codomain(h),g),c) = d )
| ~ defined(compose(codomain(h),g),c) ),
inference(superposition,[status(thm)],[c_73,c_280326]) ).
tcf(c_281076,plain,
( ( c = d )
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),c) ),
inference(superposition,[status(thm)],[c_88,c_280326]) ).
tcf(c_281079,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ defined(X0,d)
| ~ product(X0,g,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_237174,c_280326]) ).
tcf(c_281080,plain,
( ( compose(compose(codomain(h),g),d) = d )
| ~ identity_map(h)
| ~ defined(compose(codomain(h),g),d) ),
inference(superposition,[status(thm)],[c_269236,c_280326]) ).
tcf(c_281081,plain,
( ( compose(codomain(h),g) = d )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(compose(codomain(h),g),d) ),
inference(superposition,[status(thm)],[c_271228,c_280326]) ).
tcf(c_281083,plain,
compose(compose(codomain(h),g),c) = d,
inference(forward_subsumption_resolution,[status(thm)],[c_281075,c_280330]) ).
tcf(c_281084,plain,
( ( c = d )
| ~ identity_map(compose(codomain(h),g)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281076,c_280330]) ).
tcf(c_281104,plain,
! [X0: $i] :
( defined(compose(codomain(h),g),X0)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_280468,c_81]) ).
tcf(c_281106,plain,
domain(compose(codomain(h),g)) = domain(h),
inference(superposition,[status(thm)],[c_280468,c_276901]) ).
tcf(c_281111,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(h),g)),X0)
| ~ identity_map(d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_280320,c_81]) ).
tcf(c_281112,plain,
( defined(d,d)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_265859]) ).
tcf(c_281113,plain,
( defined(c,d)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_264787]) ).
tcf(c_281114,plain,
( defined(h,d)
| ~ defined(g,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_264412]) ).
tcf(c_281115,plain,
( defined(g,d)
| ~ defined(h,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_260896]) ).
tcf(c_281116,plain,
( defined(d,d)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_245443]) ).
tcf(c_281117,plain,
( defined(b,d)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_235210]) ).
tcf(c_281118,plain,
( defined(c,d)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_235201]) ).
tcf(c_281119,plain,
( defined(b,d)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_235191]) ).
tcf(c_281120,plain,
! [X0: $i] :
( defined(X0,d)
| ~ defined(X0,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_280320,c_234516]) ).
tcf(c_281121,plain,
( defined(codomain(compose(codomain(h),g)),c)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_280320,c_239225]) ).
tcf(c_281122,plain,
( defined(codomain(compose(codomain(h),g)),a)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_280320,c_239217]) ).
tcf(c_281123,plain,
defined(codomain(compose(codomain(h),g)),g),
inference(superposition,[status(thm)],[c_280320,c_234317]) ).
tcf(c_281124,plain,
defined(codomain(compose(codomain(h),g)),h),
inference(superposition,[status(thm)],[c_280320,c_234316]) ).
tcf(c_281209,plain,
! [X0: $i] :
( defined(codomain(d),X0)
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280631,c_81]) ).
tcf(c_281245,plain,
( defined(d,g)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_265859]) ).
tcf(c_281246,plain,
( defined(c,g)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_264787]) ).
tcf(c_281247,plain,
( defined(h,g)
| ~ defined(g,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_264412]) ).
tcf(c_281248,plain,
( defined(g,g)
| ~ defined(h,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_260896]) ).
tcf(c_281249,plain,
( defined(d,g)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_245443]) ).
tcf(c_281250,plain,
( defined(b,g)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_235210]) ).
tcf(c_281251,plain,
( defined(c,g)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_235201]) ).
tcf(c_281252,plain,
( defined(b,g)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_235191]) ).
tcf(c_281253,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281123,c_234516]) ).
tcf(c_281347,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(h),g)),X0)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_281124,c_81]) ).
tcf(c_281348,plain,
( defined(d,h)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_265859]) ).
tcf(c_281349,plain,
( defined(c,h)
| ~ defined(b,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_264787]) ).
tcf(c_281350,plain,
( defined(h,h)
| ~ defined(g,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_264412]) ).
tcf(c_281351,plain,
( defined(g,h)
| ~ defined(h,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_260896]) ).
tcf(c_281352,plain,
( defined(d,h)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_245443]) ).
tcf(c_281353,plain,
( defined(b,h)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_235210]) ).
tcf(c_281354,plain,
( defined(c,h)
| ~ defined(d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_235201]) ).
tcf(c_281355,plain,
( defined(b,h)
| ~ defined(c,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_235191]) ).
tcf(c_281356,plain,
! [X0: $i] :
( defined(X0,h)
| ~ defined(X0,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281124,c_234516]) ).
tcf(c_281552,plain,
! [X0: $i] :
( defined(b,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280669,c_81]) ).
tcf(c_281555,plain,
( defined(a,compose(codomain(h),g))
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_280669,c_234348]) ).
tcf(c_281568,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280672,c_81]) ).
tcf(c_281581,plain,
! [X0: $i] :
( defined(d,X0)
| ~ identity_map(d)
| ~ identity_map(compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280675,c_81]) ).
tcf(c_281625,plain,
( defined(compose(codomain(h),g),domain(a))
| ~ defined(domain(h),b) ),
inference(superposition,[status(thm)],[c_281106,c_277629]) ).
tcf(c_281626,plain,
( defined(compose(codomain(h),g),codomain(h))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_281106,c_267674]) ).
tcf(c_281627,plain,
( defined(compose(codomain(h),g),codomain(d))
| ~ defined(domain(h),g) ),
inference(superposition,[status(thm)],[c_281106,c_266610]) ).
tcf(c_281630,plain,
( defined(domain(h),h)
| ~ defined(compose(codomain(h),g),g) ),
inference(superposition,[status(thm)],[c_281106,c_260259]) ).
tcf(c_281631,plain,
( defined(domain(h),d)
| ~ defined(compose(codomain(h),g),g) ),
inference(superposition,[status(thm)],[c_281106,c_258809]) ).
tcf(c_281632,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),g),X1)
| ~ product(domain(h),X0,X1)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_281106,c_234276]) ).
tcf(c_281633,plain,
( defined(compose(codomain(h),g),codomain(g))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_281106,c_250467]) ).
tcf(c_281634,plain,
( defined(compose(codomain(h),g),codomain(d))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_281106,c_249835]) ).
tcf(c_281635,plain,
( defined(domain(h),g)
| ~ defined(compose(codomain(h),g),h) ),
inference(superposition,[status(thm)],[c_281106,c_248568]) ).
tcf(c_281636,plain,
( defined(domain(h),d)
| ~ defined(compose(codomain(h),g),h) ),
inference(superposition,[status(thm)],[c_281106,c_246617]) ).
tcf(c_281638,plain,
! [X0: $i] :
( ( domain(compose(codomain(h),g)) = X0 )
| ~ product(domain(h),domain(h),X0) ),
inference(superposition,[status(thm)],[c_281106,c_236016]) ).
tcf(c_281641,plain,
( defined(compose(codomain(h),g),codomain(g))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_281106,c_236859]) ).
tcf(c_281642,plain,
( defined(compose(codomain(h),g),codomain(h))
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_281106,c_236781]) ).
tcf(c_281644,plain,
! [X0: $i] :
( defined(compose(codomain(h),g),codomain(X0))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_281106,c_234798]) ).
tcf(c_281646,plain,
( defined(compose(codomain(h),g),g)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_281106,c_235614]) ).
tcf(c_281647,plain,
( defined(compose(codomain(h),g),h)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_281106,c_235613]) ).
tcf(c_281651,plain,
compose(compose(codomain(h),g),domain(h)) = compose(codomain(h),g),
inference(superposition,[status(thm)],[c_281106,c_235952]) ).
tcf(c_281652,plain,
! [X0: $i] :
( ( compose(codomain(h),g) = X0 )
| ~ product(compose(codomain(h),g),domain(h),X0) ),
inference(superposition,[status(thm)],[c_281106,c_234382]) ).
tcf(c_281654,plain,
( defined(domain(h),h)
| ~ defined(compose(codomain(h),g),d) ),
inference(superposition,[status(thm)],[c_281106,c_234489]) ).
tcf(c_281655,plain,
( defined(domain(h),g)
| ~ defined(compose(codomain(h),g),d) ),
inference(superposition,[status(thm)],[c_281106,c_234488]) ).
tcf(c_281657,plain,
! [X0: $i] :
( defined(compose(codomain(h),g),X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_281106,c_234369]) ).
tcf(c_281658,plain,
! [X0: $i] :
( defined(domain(h),X0)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_281106,c_234236]) ).
tcf(c_281659,plain,
product(compose(codomain(h),g),domain(h),compose(codomain(h),g)),
inference(superposition,[status(thm)],[c_281106,c_86]) ).
tcf(c_281660,plain,
defined(compose(codomain(h),g),domain(h)),
inference(superposition,[status(thm)],[c_281106,c_84]) ).
tcf(c_281662,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(compose(codomain(h),g))
| ~ defined(X0,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281106,c_260643]) ).
tcf(c_281663,plain,
! [X0: $i] :
( defined(compose(X0,compose(codomain(h),g)),domain(h))
| ~ defined(X0,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281106,c_260639]) ).
tcf(c_281860,plain,
! [X0: $i] :
( defined(compose(codomain(h),g),X0)
| ~ identity_map(domain(h))
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_281660,c_81]) ).
tcf(c_281867,plain,
( defined(compose(codomain(h),g),domain(domain(h)))
| ~ defined(compose(codomain(h),g),domain(h)) ),
inference(superposition,[status(thm)],[c_281651,c_260639]) ).
tcf(c_281868,plain,
( defined(codomain(compose(codomain(h),g)),compose(codomain(h),g))
| ~ defined(compose(codomain(h),g),domain(h)) ),
inference(superposition,[status(thm)],[c_281651,c_259762]) ).
tcf(c_281870,plain,
( defined(domain(h),domain(compose(codomain(h),g)))
| ~ defined(compose(codomain(h),g),domain(h)) ),
inference(superposition,[status(thm)],[c_281651,c_257269]) ).
tcf(c_281874,plain,
( defined(domain(h),domain(h))
| ~ defined(compose(codomain(h),g),domain(h)) ),
inference(light_normalisation,[status(thm)],[c_281870,c_281106]) ).
tcf(c_281875,plain,
defined(compose(codomain(h),g),domain(domain(h))),
inference(forward_subsumption_resolution,[status(thm)],[c_281867,c_281660]) ).
tcf(c_281880,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,compose(codomain(h),g))
| ~ defined(X0,h)
| ~ product(c,domain(h),X1)
| ~ product(X0,d,compose(codomain(h),g)) ),
inference(superposition,[status(thm)],[c_281659,c_237606]) ).
tcf(c_281882,plain,
defined(codomain(compose(codomain(h),g)),compose(codomain(h),g)),
inference(superposition,[status(thm)],[c_281659,c_258349]) ).
tcf(c_281883,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(h),g))
| ~ defined(c,X1)
| ~ product(d,X1,domain(h))
| ~ product(compose(codomain(h),g),g,X0) ),
inference(superposition,[status(thm)],[c_281659,c_237395]) ).
tcf(c_281884,plain,
! [X0: $i,X1: $i] :
( product(X0,compose(c,X1),compose(codomain(h),g))
| ~ defined(c,X1)
| ~ product(d,X1,domain(h))
| ~ product(compose(codomain(h),g),h,X0) ),
inference(superposition,[status(thm)],[c_281659,c_237220]) ).
tcf(c_281885,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,domain(h),X2)
| ~ product(X0,compose(codomain(h),g),X2)
| ~ product(X0,compose(codomain(h),g),X1) ),
inference(superposition,[status(thm)],[c_281659,c_80]) ).
tcf(c_281886,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(codomain(h),g),X2,X1)
| ~ product(domain(h),X0,X2)
| ~ product(compose(codomain(h),g),X0,X1) ),
inference(superposition,[status(thm)],[c_281659,c_77]) ).
tcf(c_281887,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ defined(X0,compose(codomain(h),g))
| ~ product(X0,compose(codomain(h),g),X1) ),
inference(superposition,[status(thm)],[c_281659,c_79]) ).
tcf(c_281944,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),g),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_237570,c_81]) ).
tcf(c_281951,plain,
( defined(compose(codomain(d),g),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237570,c_234317]) ).
tcf(c_281952,plain,
( defined(compose(codomain(d),g),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237570,c_234316]) ).
tcf(c_281953,plain,
( defined(compose(codomain(d),g),g)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_237570,c_246376]) ).
tcf(c_281954,plain,
( defined(compose(codomain(d),g),d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_237570,c_246274]) ).
tcf(c_281955,plain,
( defined(compose(codomain(d),g),h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_237570,c_258650]) ).
tcf(c_281956,plain,
( defined(compose(codomain(d),g),d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_237570,c_258563]) ).
tcf(c_281957,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),g),X0)
| ~ identity_map(a)
| ~ defined(X0,X1)
| ~ defined(a,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_237570,c_234318]) ).
tcf(c_281958,plain,
( defined(domain(compose(codomain(d),g)),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_237570,c_251612]) ).
tcf(c_281959,plain,
( defined(compose(codomain(d),g),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_237570,c_251604]) ).
tcf(c_281960,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(d),g),X1)
| ~ identity_map(a)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(a,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_237570,c_238318]) ).
tcf(c_281961,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(a)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(a,compose(X2,d))
| ~ product(compose(codomain(d),g),X0,X1) ),
inference(superposition,[status(thm)],[c_237570,c_238316]) ).
tcf(c_281962,plain,
( defined(compose(codomain(d),g),g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_237570,c_250907]) ).
tcf(c_281963,plain,
( defined(compose(codomain(d),g),h)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_237570,c_244206]) ).
tcf(c_282322,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234347,c_248378]) ).
tcf(c_282333,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246270,c_248378]) ).
tcf(c_282335,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_258558,c_248378]) ).
tcf(c_282342,plain,
! [X0: $i] :
( defined(codomain(compose(h,X0)),c)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_259762,c_248378]) ).
tcf(c_282446,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ defined(codomain(d),d)
| ~ product(codomain(d),g,c) ),
inference(superposition,[status(thm)],[c_236653,c_238324]) ).
tcf(c_282447,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ defined(codomain(h),d)
| ~ product(codomain(h),g,c) ),
inference(superposition,[status(thm)],[c_245972,c_238324]) ).
tcf(c_282448,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ defined(codomain(g),d)
| ~ product(codomain(g),g,c) ),
inference(superposition,[status(thm)],[c_278906,c_238324]) ).
tcf(c_282449,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ identity_map(compose(X0,d))
| ~ product(X0,g,c)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238324,c_81]) ).
tcf(c_282450,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238324,c_234318]) ).
tcf(c_282452,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238324,c_238318]) ).
tcf(c_282453,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c)
| ~ product(g,X1,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238324,c_238316]) ).
tcf(c_282458,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ product(codomain(g),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282448,c_258357]) ).
tcf(c_282462,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ product(codomain(h),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282447,c_246238]) ).
tcf(c_282466,plain,
( defined(g,d)
| ~ defined(d,c)
| ~ product(codomain(d),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282446,c_85]) ).
tcf(c_282569,plain,
( product(g,c,codomain(g))
| ~ identity_map(d) ),
inference(global_subsumption_just,[status(thm)],[c_239118,c_6509,c_18762]) ).
tcf(c_282575,plain,
! [X0: $i,X1: $i] :
( product(compose(X0,h),X1,codomain(g))
| ~ identity_map(d)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_282569,c_237606]) ).
tcf(c_282577,plain,
( defined(codomain(g),codomain(g))
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_282569,c_258349]) ).
tcf(c_282578,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),codomain(g))
| ~ identity_map(d)
| ~ defined(c,X0)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_282569,c_237395]) ).
tcf(c_282579,plain,
! [X0: $i,X1: $i] :
( product(X1,compose(c,X0),codomain(g))
| ~ identity_map(d)
| ~ defined(c,X0)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_282569,c_237220]) ).
tcf(c_282580,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,X1)
| ~ identity_map(d)
| ~ product(X0,g,X2)
| ~ product(X0,codomain(g),X1) ),
inference(superposition,[status(thm)],[c_282569,c_80]) ).
tcf(c_282581,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(g,X2,X1)
| ~ identity_map(d)
| ~ product(c,X0,X2)
| ~ product(codomain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_282569,c_77]) ).
tcf(c_282582,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ defined(X0,codomain(g))
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_282569,c_79]) ).
tcf(c_282583,plain,
! [X0: $i] :
( ( codomain(g) = X0 )
| ~ identity_map(d)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_282569,c_90]) ).
tcf(c_282584,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_282569,c_78]) ).
tcf(c_282585,plain,
! [X0: $i,X1: $i] :
( defined(g,X1)
| ~ identity_map(d)
| ~ defined(codomain(g),X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_282569,c_76]) ).
tcf(c_282626,plain,
! [X0: $i] :
( defined(X0,g)
| ~ defined(X0,codomain(g)) ),
inference(global_subsumption_just,[status(thm)],[c_282584,c_188523]) ).
tcf(c_282632,plain,
defined(codomain(codomain(g)),g),
inference(superposition,[status(thm)],[c_85,c_282626]) ).
tcf(c_282633,plain,
! [X0: $i] :
( defined(domain(X0),g)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_234236,c_282626]) ).
tcf(c_282635,plain,
! [X0: $i] :
( defined(codomain(X0),g)
| ~ identity_map(X0)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_234347,c_282626]) ).
tcf(c_282636,plain,
( defined(domain(c),g)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_244252,c_282626]) ).
tcf(c_282643,plain,
( defined(a,g)
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_235637,c_282626]) ).
tcf(c_282645,plain,
( defined(domain(b),g)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_253500,c_282626]) ).
tcf(c_282647,plain,
( defined(h,g)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_236959,c_282626]) ).
tcf(c_282654,plain,
( defined(g,g)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_237028,c_282626]) ).
tcf(c_282656,plain,
( defined(codomain(g),g)
| ~ identity_map(h)
| ~ defined(h,codomain(g)) ),
inference(superposition,[status(thm)],[c_258645,c_282626]) ).
tcf(c_282657,plain,
( defined(codomain(g),g)
| ~ identity_map(d)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_258558,c_282626]) ).
tcf(c_282677,plain,
( defined(compose(codomain(d),g),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_237570,c_282626]) ).
tcf(c_282678,plain,
( defined(domain(h),g)
| ~ defined(g,codomain(g)) ),
inference(superposition,[status(thm)],[c_255418,c_282626]) ).
tcf(c_282679,plain,
( defined(domain(h),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_254948,c_282626]) ).
tcf(c_282680,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(g),X0)),g)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_259762,c_282626]) ).
tcf(c_282803,plain,
! [X0: $i] :
( defined(a,compose(b,X0))
| ~ defined(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_239177,c_60883]) ).
tcf(c_282810,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,X0)
| ~ identity_map(compose(b,X0))
| ~ defined(compose(b,X0),X1) ),
inference(superposition,[status(thm)],[c_282803,c_81]) ).
tcf(c_282812,plain,
! [X0: $i] :
( defined(g,compose(b,X0))
| ~ identity_map(a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_282803,c_234456]) ).
tcf(c_282813,plain,
! [X0: $i] :
( defined(h,compose(b,X0))
| ~ identity_map(a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_282803,c_234446]) ).
tcf(c_282814,plain,
! [X0: $i] :
( defined(a,X0)
| ~ defined(c,d)
| ~ defined(b,d)
| ~ product(b,g,X0) ),
inference(superposition,[status(thm)],[c_282803,c_238318]) ).
tcf(c_282815,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(c,d)
| ~ defined(b,d)
| ~ product(b,g,X0)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_282803,c_238316]) ).
tcf(c_283111,plain,
defined(domain(codomain(codomain(g))),g),
inference(superposition,[status(thm)],[c_85,c_282633]) ).
tcf(c_283112,plain,
! [X0: $i] :
( defined(domain(domain(X0)),g)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_234236,c_282633]) ).
tcf(c_283114,plain,
! [X0: $i] :
( defined(domain(codomain(X0)),g)
| ~ identity_map(X0)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_234347,c_282633]) ).
tcf(c_283115,plain,
( defined(domain(domain(c)),g)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_244252,c_282633]) ).
tcf(c_283121,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(c,g) ),
inference(superposition,[status(thm)],[c_235638,c_282633]) ).
tcf(c_283122,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(d,g) ),
inference(superposition,[status(thm)],[c_235637,c_282633]) ).
tcf(c_283123,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_235634,c_282633]) ).
tcf(c_283124,plain,
( defined(domain(domain(b)),g)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_253500,c_282633]) ).
tcf(c_283132,plain,
( defined(domain(g),g)
| ~ defined(h,g) ),
inference(superposition,[status(thm)],[c_255819,c_282633]) ).
tcf(c_283133,plain,
( defined(domain(g),g)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_237028,c_282633]) ).
tcf(c_283134,plain,
( defined(domain(codomain(h)),g)
| ~ identity_map(d)
| ~ defined(d,codomain(g)) ),
inference(superposition,[status(thm)],[c_246270,c_282633]) ).
tcf(c_283138,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_236300,c_282633]) ).
tcf(c_283139,plain,
( defined(domain(a),g)
| ~ identity_map(b)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_235654,c_282633]) ).
tcf(c_283140,plain,
defined(domain(codomain(g)),g),
inference(superposition,[status(thm)],[c_236053,c_282633]) ).
tcf(c_283146,plain,
( defined(domain(g),g)
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_255831,c_282633]) ).
tcf(c_283147,plain,
( defined(domain(g),g)
| ~ defined(h,h) ),
inference(superposition,[status(thm)],[c_255830,c_282633]) ).
tcf(c_283148,plain,
( defined(domain(g),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_237035,c_282633]) ).
tcf(c_283156,plain,
( defined(domain(compose(codomain(d),g)),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_237570,c_282633]) ).
tcf(c_283157,plain,
( defined(domain(domain(h)),g)
| ~ defined(g,codomain(g)) ),
inference(superposition,[status(thm)],[c_255418,c_282633]) ).
tcf(c_283158,plain,
( defined(domain(domain(h)),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_254948,c_282633]) ).
tcf(c_283159,plain,
! [X0: $i] :
( defined(domain(codomain(compose(codomain(g),X0))),g)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_259762,c_282633]) ).
tcf(c_283160,plain,
defined(domain(codomain(d)),g),
inference(superposition,[status(thm)],[c_261518,c_282633]) ).
tcf(c_283166,plain,
( defined(domain(h),g)
| ~ defined(h,h) ),
inference(light_normalisation,[status(thm)],[c_283147,c_255390]) ).
tcf(c_283169,plain,
( defined(domain(h),g)
| ~ defined(h,d) ),
inference(light_normalisation,[status(thm)],[c_283146,c_255390]) ).
tcf(c_283172,plain,
( defined(domain(h),g)
| ~ defined(h,g) ),
inference(light_normalisation,[status(thm)],[c_283132,c_255390]) ).
tcf(c_283189,plain,
( defined(domain(h),g)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(light_normalisation,[status(thm)],[c_283133,c_255390]) ).
tcf(c_283619,plain,
( defined(domain(b),g)
| ~ defined(b,g) ),
inference(superposition,[status(thm)],[c_261377,c_282645]) ).
tcf(c_283621,plain,
( defined(domain(b),g)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_261395,c_282645]) ).
tcf(c_283622,plain,
( defined(domain(b),g)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_261394,c_282645]) ).
tcf(c_283640,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ defined(codomain(d),d)
| ~ product(codomain(d),g,c) ),
inference(superposition,[status(thm)],[c_236653,c_238325]) ).
tcf(c_283641,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ defined(codomain(h),d)
| ~ product(codomain(h),g,c) ),
inference(superposition,[status(thm)],[c_245972,c_238325]) ).
tcf(c_283642,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ defined(codomain(g),d)
| ~ product(codomain(g),g,c) ),
inference(superposition,[status(thm)],[c_278906,c_238325]) ).
tcf(c_283643,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ identity_map(compose(X0,d))
| ~ product(X0,g,c)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_238325,c_81]) ).
tcf(c_283644,plain,
! [X0: $i] :
( defined(h,X0)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238325,c_234318]) ).
tcf(c_283646,plain,
! [X0: $i,X1: $i] :
( defined(h,X1)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238325,c_238318]) ).
tcf(c_283647,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c)
| ~ product(h,X1,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_238325,c_238316]) ).
tcf(c_283652,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ product(codomain(g),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283642,c_258357]) ).
tcf(c_283656,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ product(codomain(h),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283641,c_246238]) ).
tcf(c_283660,plain,
( defined(h,d)
| ~ defined(d,c)
| ~ product(codomain(d),g,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283640,c_85]) ).
tcf(c_283681,plain,
! [X0: $i] :
( defined(compose(X0,a),b)
| ~ defined(X0,c) ),
inference(global_subsumption_just,[status(thm)],[c_239752,c_61010]) ).
tcf(c_283689,plain,
! [X0: $i,X1: $i] :
( defined(compose(X0,a),X1)
| ~ identity_map(b)
| ~ defined(b,X1)
| ~ defined(X0,c) ),
inference(superposition,[status(thm)],[c_283681,c_81]) ).
tcf(c_283702,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ defined(c,X0)
| ~ product(c,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_243800,c_254670]) ).
tcf(c_283706,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ product(c,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283702,c_74]) ).
tcf(c_283718,plain,
! [X0: $i] :
( defined(domain(h),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_237174,c_283706]) ).
tcf(c_283719,plain,
( defined(domain(h),compose(c,d))
| ~ identity_map(h)
| ~ defined(c,d) ),
inference(superposition,[status(thm)],[c_269236,c_283706]) ).
tcf(c_283734,plain,
( ( compose(h,c) = domain(c) )
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_73,c_244205]) ).
tcf(c_283735,plain,
( ( domain(c) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_88,c_244205]) ).
tcf(c_283737,plain,
! [X0: $i] :
( ( domain(c) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268561,c_244205]) ).
tcf(c_283738,plain,
! [X0: $i] :
( ( domain(c) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245077,c_244205]) ).
tcf(c_283740,plain,
! [X0: $i] :
( ( compose(X0,d) = domain(c) )
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,h) ),
inference(superposition,[status(thm)],[c_237174,c_244205]) ).
tcf(c_283742,plain,
! [X0: $i] :
( ( compose(d,X0) = domain(c) )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244686,c_244205]) ).
tcf(c_283743,plain,
( ( domain(c) = codomain(h) )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_251180,c_244205]) ).
tcf(c_283744,plain,
! [X0: $i] :
( ( compose(X0,d) = domain(c) )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268030,c_244205]) ).
tcf(c_283749,plain,
( ( domain(c) = d )
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(light_normalisation,[status(thm)],[c_283734,c_235137]) ).
tcf(c_283763,plain,
( ( domain(c) = c )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283735,c_234199]) ).
tcf(c_283881,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_234347,c_248483]) ).
tcf(c_283892,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_246270,c_248483]) ).
tcf(c_283894,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_258558,c_248483]) ).
tcf(c_283901,plain,
! [X0: $i] :
( defined(codomain(compose(h,X0)),a)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_259762,c_248483]) ).
tcf(c_283948,plain,
( defined(c,codomain(c))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_234798]) ).
tcf(c_283951,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_266431]) ).
tcf(c_283952,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_263204]) ).
tcf(c_283953,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_263167]) ).
tcf(c_283954,plain,
( defined(d,codomain(c))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_244426]) ).
tcf(c_283957,plain,
( defined(b,codomain(c))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_234782]) ).
tcf(c_283959,plain,
( defined(b,domain(h))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_254786]) ).
tcf(c_283960,plain,
( defined(d,domain(h))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_254746]) ).
tcf(c_283962,plain,
( defined(c,domain(h))
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248599,c_254787]) ).
tcf(c_284208,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_248601,c_81]) ).
tcf(c_284211,plain,
( ( domain(domain(c)) = domain(h) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248601,c_276901]) ).
tcf(c_284213,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248601,c_266431]) ).
tcf(c_284214,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248601,c_263204]) ).
tcf(c_284215,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_248601,c_263167]) ).
tcf(c_284379,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(codomain(d))
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_248963,c_81]) ).
tcf(c_284382,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ defined(codomain(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284379,c_83]) ).
tcf(c_284422,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(codomain(g))
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_248999,c_81]) ).
tcf(c_284425,plain,
( defined(domain(a),g)
| ~ identity_map(d)
| ~ identity_map(b) ),
inference(superposition,[status(thm)],[c_248999,c_282633]) ).
tcf(c_284430,plain,
! [X0: $i] :
( defined(a,X0)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ defined(codomain(g),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284422,c_83]) ).
tcf(c_284544,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(c))
| ~ product(X0,d,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244248,c_74]) ).
tcf(c_284551,plain,
! [X0: $i] :
( defined(compose(X0,d),domain(c))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_73,c_284544]) ).
tcf(c_284566,plain,
! [X0: $i,X1: $i] :
( defined(compose(X1,d),X0)
| ~ identity_map(domain(c))
| ~ defined(X1,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_284551,c_81]) ).
tcf(c_284568,plain,
! [X0: $i] :
( defined(c,domain(c))
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_284551,c_279576]) ).
tcf(c_284569,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ product(c,domain(c),X0) ),
inference(superposition,[status(thm)],[c_284551,c_238319]) ).
tcf(c_284570,plain,
! [X0: $i] :
( defined(compose(X0,d),g)
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_284551,c_250907]) ).
tcf(c_284571,plain,
! [X0: $i] :
( defined(compose(X0,d),h)
| ~ identity_map(d)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_284551,c_244206]) ).
tcf(c_284582,plain,
! [X0: $i,X1: $i] :
( defined(compose(X1,d),X0)
| ~ defined(X1,d)
| ~ defined(domain(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284566,c_82]) ).
tcf(c_284889,plain,
! [X0: $i] :
( defined(d,compose(domain(c),X0))
| ~ defined(d,X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_73,c_244251]) ).
tcf(c_284893,plain,
( defined(d,d)
| ~ identity_map(h)
| ~ identity_map(domain(c))
| ~ defined(d,c)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_270616,c_244251]) ).
tcf(c_284895,plain,
! [X0: $i] :
( defined(d,compose(X0,d))
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,domain(c)) ),
inference(superposition,[status(thm)],[c_237174,c_244251]) ).
tcf(c_284896,plain,
( defined(d,compose(domain(c),d))
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_269236,c_244251]) ).
tcf(c_284909,plain,
( defined(d,d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(domain(c),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284893,c_82]) ).
tcf(c_285096,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_88,c_238327]) ).
tcf(c_285111,plain,
! [X0: $i] :
( defined(c,domain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260643,c_244860]) ).
tcf(c_285112,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234320,c_244860]) ).
tcf(c_285115,plain,
! [X0: $i] :
( defined(c,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260614,c_244860]) ).
tcf(c_285116,plain,
! [X0: $i] :
( defined(c,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_243305,c_244860]) ).
tcf(c_285117,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_260764,c_244860]) ).
tcf(c_285118,plain,
! [X0: $i] :
( defined(c,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236959,c_244860]) ).
tcf(c_285119,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_277150,c_244860]) ).
tcf(c_285120,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236958,c_244860]) ).
tcf(c_285131,plain,
( defined(c,b)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236960,c_244860]) ).
tcf(c_285138,plain,
! [X0: $i] :
( defined(c,compose(X0,d))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238325,c_244860]) ).
tcf(c_285139,plain,
! [X0: $i] :
( defined(c,domain(compose(X0,h)))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_257269,c_244860]) ).
tcf(c_285140,plain,
( defined(c,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_277183,c_244860]) ).
tcf(c_285252,plain,
! [X0: $i] :
( defined(b,domain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260643,c_244885]) ).
tcf(c_285253,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234320,c_244885]) ).
tcf(c_285256,plain,
! [X0: $i] :
( defined(b,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260614,c_244885]) ).
tcf(c_285257,plain,
! [X0: $i] :
( defined(b,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_243305,c_244885]) ).
tcf(c_285258,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_260764,c_244885]) ).
tcf(c_285259,plain,
! [X0: $i] :
( defined(b,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236959,c_244885]) ).
tcf(c_285260,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_277150,c_244885]) ).
tcf(c_285261,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236958,c_244885]) ).
tcf(c_285272,plain,
( defined(b,b)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236960,c_244885]) ).
tcf(c_285279,plain,
! [X0: $i] :
( defined(b,compose(X0,d))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238325,c_244885]) ).
tcf(c_285280,plain,
! [X0: $i] :
( defined(b,domain(compose(X0,h)))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_257269,c_244885]) ).
tcf(c_285281,plain,
( defined(b,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_277183,c_244885]) ).
tcf(c_285450,plain,
! [X0: $i] :
( defined(d,domain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260643,c_244895]) ).
tcf(c_285451,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234320,c_244895]) ).
tcf(c_285454,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260614,c_244895]) ).
tcf(c_285455,plain,
! [X0: $i] :
( defined(d,compose(c,X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_243305,c_244895]) ).
tcf(c_285456,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_260764,c_244895]) ).
tcf(c_285457,plain,
! [X0: $i] :
( defined(d,codomain(X0))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236959,c_244895]) ).
tcf(c_285458,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,b) ),
inference(superposition,[status(thm)],[c_277150,c_244895]) ).
tcf(c_285459,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236958,c_244895]) ).
tcf(c_285470,plain,
( defined(d,b)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a) ),
inference(superposition,[status(thm)],[c_236960,c_244895]) ).
tcf(c_285477,plain,
! [X0: $i] :
( defined(d,compose(X0,d))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(d,c)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238325,c_244895]) ).
tcf(c_285478,plain,
! [X0: $i] :
( defined(d,domain(compose(X0,h)))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_257269,c_244895]) ).
tcf(c_285479,plain,
( defined(d,domain(a))
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,b) ),
inference(superposition,[status(thm)],[c_277183,c_244895]) ).
tcf(c_285661,plain,
! [X0: $i] :
( defined(compose(X0,codomain(h)),d)
| ~ defined(X0,d)
| ~ defined(X0,codomain(h)) ),
inference(superposition,[status(thm)],[c_73,c_246233]) ).
tcf(c_285725,plain,
( defined(h,codomain(codomain(d)))
| ~ defined(domain(h),h) ),
inference(light_normalisation,[status(thm)],[c_249868,c_254670]) ).
tcf(c_285736,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ product(X0,g,codomain(c)) ),
inference(global_subsumption_just,[status(thm)],[c_238328,c_79449]) ).
tcf(c_285738,plain,
! [X0: $i] :
( ( compose(X0,d) = c )
| ~ product(X0,g,domain(h)) ),
inference(light_normalisation,[status(thm)],[c_285736,c_254755]) ).
tcf(c_285749,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ product(d,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246236,c_74]) ).
tcf(c_285756,plain,
! [X0: $i] :
( defined(codomain(h),compose(d,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_285749]) ).
tcf(c_285761,plain,
! [X0: $i] :
( defined(codomain(h),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,d) ),
inference(superposition,[status(thm)],[c_237174,c_285749]) ).
tcf(c_285762,plain,
( defined(codomain(h),compose(d,d))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_269236,c_285749]) ).
tcf(c_285779,plain,
! [X0: $i,X1: $i] :
( defined(codomain(h),X1)
| ~ defined(d,X0)
| ~ identity_map(compose(d,X0))
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_285756,c_81]) ).
tcf(c_285799,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_265897]) ).
tcf(c_285800,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_264805]) ).
tcf(c_285802,plain,
! [X0: $i] :
( defined(g,compose(d,X0))
| ~ defined(h,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_260935]) ).
tcf(c_285803,plain,
! [X0: $i] :
( defined(codomain(d),compose(d,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_260719]) ).
tcf(c_285804,plain,
! [X0: $i] :
( defined(d,compose(d,X0))
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_245480]) ).
tcf(c_285808,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ defined(d,X1)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_285756,c_236811]) ).
tcf(c_285809,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_236268]) ).
tcf(c_285810,plain,
! [X0: $i] :
( defined(c,compose(d,X0))
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_235849]) ).
tcf(c_285811,plain,
! [X0: $i] :
( defined(b,compose(d,X0))
| ~ defined(d,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_285756,c_235440]) ).
tcf(c_285812,plain,
! [X0: $i] :
( defined(codomain(h),X0)
| ~ defined(d,d)
| ~ product(d,g,X0) ),
inference(superposition,[status(thm)],[c_285756,c_238318]) ).
tcf(c_285813,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(d,d)
| ~ product(d,g,X0)
| ~ product(codomain(h),X0,X1) ),
inference(superposition,[status(thm)],[c_285756,c_238316]) ).
tcf(c_285871,plain,
( defined(h,codomain(codomain(g)))
| ~ defined(domain(h),h) ),
inference(light_normalisation,[status(thm)],[c_250501,c_254670]) ).
tcf(c_285873,plain,
! [X0: $i] :
( product(compose(X0,g),c,d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_238774,c_6197,c_19136]) ).
tcf(c_285882,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,d)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(X0,d,compose(X1,g)) ),
inference(superposition,[status(thm)],[c_285873,c_237606]) ).
tcf(c_285884,plain,
! [X0: $i] :
( defined(codomain(compose(X0,g)),d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_285873,c_258349]) ).
tcf(c_285885,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),d)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,g)
| ~ product(d,X2,c)
| ~ product(compose(X0,g),g,X1) ),
inference(superposition,[status(thm)],[c_285873,c_237395]) ).
tcf(c_285886,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),d)
| ~ identity_map(X0)
| ~ defined(c,X2)
| ~ defined(X0,g)
| ~ product(d,X2,c)
| ~ product(compose(X0,g),h,X1) ),
inference(superposition,[status(thm)],[c_285873,c_237220]) ).
tcf(c_285887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ product(X0,d,X3)
| ~ product(X0,compose(X1,g),X2) ),
inference(superposition,[status(thm)],[c_285873,c_80]) ).
tcf(c_285888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X3,g),X1,X2)
| ~ identity_map(X3)
| ~ defined(X3,g)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_285873,c_77]) ).
tcf(c_285889,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ defined(X0,d)
| ~ product(X0,compose(X1,g),X2) ),
inference(superposition,[status(thm)],[c_285873,c_79]) ).
tcf(c_285890,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ product(compose(X0,g),c,X1) ),
inference(superposition,[status(thm)],[c_285873,c_90]) ).
tcf(c_285891,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,g))
| ~ identity_map(X0)
| ~ defined(X1,d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_285873,c_78]) ).
tcf(c_285892,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,g),X1)
| ~ identity_map(X2)
| ~ defined(d,X0)
| ~ defined(X2,g)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_285873,c_76]) ).
tcf(c_285893,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_285873,c_75]) ).
tcf(c_285894,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_285873,c_74]) ).
tcf(c_285967,plain,
( ( compose(codomain(h),c) = d )
| ~ identity_map(h)
| ~ defined(codomain(h),c) ),
inference(superposition,[status(thm)],[c_73,c_249040]) ).
tcf(c_285971,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,g,codomain(h)) ),
inference(superposition,[status(thm)],[c_237174,c_249040]) ).
tcf(c_286033,plain,
( ( compose(g,c) = domain(c) )
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_73,c_250906]) ).
tcf(c_286038,plain,
! [X0: $i] :
( ( compose(X0,d) = domain(c) )
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,g) ),
inference(superposition,[status(thm)],[c_237174,c_250906]) ).
tcf(c_286041,plain,
( ( compose(g,d) = domain(c) )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_269236,c_250906]) ).
tcf(c_286042,plain,
( ( domain(c) = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_271228,c_250906]) ).
tcf(c_286043,plain,
( ( domain(c) = codomain(g) )
| ~ identity_map(d) ),
inference(superposition,[status(thm)],[c_282569,c_250906]) ).
tcf(c_286046,plain,
( ( domain(c) = d )
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(light_normalisation,[status(thm)],[c_286033,c_235154]) ).
tcf(c_286103,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ defined(X1,h)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_252538,c_81]) ).
tcf(c_286104,plain,
! [X0: $i] :
( defined(X0,codomain(compose(codomain(d),g)))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_234798]) ).
tcf(c_286105,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ defined(domain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_234369]) ).
tcf(c_286106,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_265859]) ).
tcf(c_286107,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(b,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_264787]) ).
tcf(c_286108,plain,
! [X0: $i] :
( defined(h,compose(codomain(d),g))
| ~ defined(g,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_264412]) ).
tcf(c_286109,plain,
! [X0: $i] :
( defined(g,compose(codomain(d),g))
| ~ defined(h,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_260896]) ).
tcf(c_286110,plain,
! [X0: $i] :
( defined(d,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_245443]) ).
tcf(c_286111,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_235210]) ).
tcf(c_286112,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(d,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_235201]) ).
tcf(c_286113,plain,
! [X0: $i] :
( defined(b,compose(codomain(d),g))
| ~ defined(c,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_235191]) ).
tcf(c_286114,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X1,X0)
| ~ defined(codomain(X0),h) ),
inference(superposition,[status(thm)],[c_252538,c_234516]) ).
tcf(c_286116,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_252538,c_238529]) ).
tcf(c_286120,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(b,h) ),
inference(superposition,[status(thm)],[c_252538,c_234348]) ).
tcf(c_286121,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_252538,c_238589]) ).
tcf(c_286124,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),h) ),
inference(superposition,[status(thm)],[c_252538,c_234235]) ).
tcf(c_286126,plain,
( defined(g,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_252538,c_234456]) ).
tcf(c_286127,plain,
( defined(h,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_252538,c_234446]) ).
tcf(c_286134,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_263204]) ).
tcf(c_286135,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_263167]) ).
tcf(c_286136,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_244426]) ).
tcf(c_286137,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_244305]) ).
tcf(c_286138,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_235792]) ).
tcf(c_286139,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_234782]) ).
tcf(c_286140,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(c),h) ),
inference(superposition,[status(thm)],[c_252538,c_234366]) ).
tcf(c_286142,plain,
( defined(codomain(g),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_269183]) ).
tcf(c_286143,plain,
( defined(codomain(h),compose(codomain(d),g))
| ~ identity_map(d)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_268557]) ).
tcf(c_286144,plain,
( defined(domain(c),compose(codomain(d),g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_257986]) ).
tcf(c_286145,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_235829]) ).
tcf(c_286146,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_234754]) ).
tcf(c_286147,plain,
( defined(b,codomain(compose(codomain(d),g)))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_234526]) ).
tcf(c_286148,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_234363]) ).
tcf(c_286149,plain,
( defined(b,compose(codomain(d),g))
| ~ defined(domain(d),h) ),
inference(superposition,[status(thm)],[c_252538,c_234360]) ).
tcf(c_286171,plain,
( defined(d,codomain(compose(codomain(d),g)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_252538,c_261118]) ).
tcf(c_286172,plain,
( defined(c,codomain(compose(codomain(d),g)))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_252538,c_260956]) ).
tcf(c_286173,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_252538,c_260700]) ).
tcf(c_286174,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_252538,c_260693]) ).
tcf(c_286175,plain,
( defined(a,compose(codomain(d),g))
| ~ identity_map(b)
| ~ defined(domain(b),h) ),
inference(superposition,[status(thm)],[c_252538,c_235781]) ).
tcf(c_286220,plain,
( defined(g,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_252538,c_237155]) ).
tcf(c_286221,plain,
( defined(h,compose(codomain(d),g))
| ~ identity_map(a)
| ~ defined(domain(a),h) ),
inference(superposition,[status(thm)],[c_252538,c_237017]) ).
tcf(c_286222,plain,
! [X0: $i] :
( defined(c,compose(codomain(d),g))
| ~ defined(X0,d)
| ~ defined(compose(X0,d),h) ),
inference(superposition,[status(thm)],[c_252538,c_279576]) ).
tcf(c_286223,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(X1,d)
| ~ product(X1,g,X2)
| ~ defined(compose(X1,d),h)
| ~ product(c,compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_252538,c_238319]) ).
tcf(c_286224,plain,
( defined(g,codomain(compose(codomain(d),g)))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_254773]) ).
tcf(c_286225,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_266404]) ).
tcf(c_286226,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_266384]) ).
tcf(c_286227,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,c)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_265829]) ).
tcf(c_286228,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(b,a)
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_265799]) ).
tcf(c_286229,plain,
( defined(g,compose(codomain(d),g))
| ~ defined(domain(h),h) ),
inference(superposition,[status(thm)],[c_252538,c_254774]) ).
tcf(c_286869,plain,
! [X0: $i] :
( defined(d,X0)
| ~ defined(c,h)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_252732,c_81]) ).
tcf(c_286872,plain,
( defined(c,compose(codomain(d),g))
| ~ defined(c,h) ),
inference(superposition,[status(thm)],[c_252732,c_234233]) ).
tcf(c_286891,plain,
( ( compose(h,c) = codomain(h) )
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_73,c_251191]) ).
tcf(c_286892,plain,
( ( codomain(h) = c )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_88,c_251191]) ).
tcf(c_286894,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268561,c_251191]) ).
tcf(c_286895,plain,
! [X0: $i] :
( ( codomain(h) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245077,c_251191]) ).
tcf(c_286897,plain,
! [X0: $i] :
( ( compose(X0,d) = codomain(h) )
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,h) ),
inference(superposition,[status(thm)],[c_237174,c_251191]) ).
tcf(c_286899,plain,
! [X0: $i] :
( ( compose(d,X0) = codomain(h) )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244686,c_251191]) ).
tcf(c_286901,plain,
! [X0: $i] :
( ( compose(X0,d) = codomain(h) )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,d) ),
inference(superposition,[status(thm)],[c_268030,c_251191]) ).
tcf(c_286904,plain,
( ( codomain(h) = d )
| ~ identity_map(d)
| ~ defined(h,c) ),
inference(light_normalisation,[status(thm)],[c_286891,c_235137]) ).
tcf(c_286918,plain,
( ( codomain(h) = c )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286892,c_234199]) ).
tcf(c_286998,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,X1)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(d,domain(c),X1)
| ~ product(X0,d,compose(codomain(d),g)) ),
inference(superposition,[status(thm)],[c_253405,c_237606]) ).
tcf(c_286999,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_260630]) ).
tcf(c_287000,plain,
! [X0: $i] :
( defined(codomain(compose(codomain(d),g)),X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_258349]) ).
tcf(c_287001,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X2),X1)
| ~ defined(c,X2)
| ~ product(d,X2,c)
| ~ product(d,domain(c),X1)
| ~ product(compose(codomain(d),g),g,X0) ),
inference(superposition,[status(thm)],[c_253405,c_237395]) ).
tcf(c_287002,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,compose(c,X2),X1)
| ~ defined(c,X2)
| ~ product(d,X2,c)
| ~ product(d,domain(c),X1)
| ~ product(compose(codomain(d),g),h,X0) ),
inference(superposition,[status(thm)],[c_253405,c_237220]) ).
tcf(c_287003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,c,X3)
| ~ product(X0,X2,X3)
| ~ product(d,domain(c),X2)
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_253405,c_80]) ).
tcf(c_287004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(codomain(d),g),X3,X2)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_77]) ).
tcf(c_287005,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ defined(X0,X2)
| ~ product(d,domain(c),X2)
| ~ product(X0,compose(codomain(d),g),X1) ),
inference(superposition,[status(thm)],[c_253405,c_79]) ).
tcf(c_287006,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ product(d,domain(c),X1)
| ~ product(compose(codomain(d),g),c,X0) ),
inference(superposition,[status(thm)],[c_253405,c_90]) ).
tcf(c_287007,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ defined(X1,X0)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_78]) ).
tcf(c_287008,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(codomain(d),g),X2)
| ~ defined(X0,X1)
| ~ product(c,X1,X2)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_76]) ).
tcf(c_287009,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ defined(X0,X1)
| ~ product(d,domain(c),X0) ),
inference(superposition,[status(thm)],[c_253405,c_75]) ).
tcf(c_287060,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(c,h)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_252850,c_81]) ).
tcf(c_287108,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_253233,c_81]) ).
tcf(c_287111,plain,
( ( domain(domain(b)) = domain(h) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253233,c_276901]) ).
tcf(c_287176,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_253303,c_81]) ).
tcf(c_287179,plain,
( ( domain(domain(d)) = domain(h) )
| ~ identity_map(d)
| ~ identity_map(h) ),
inference(superposition,[status(thm)],[c_253303,c_276901]) ).
tcf(c_287235,plain,
( ( domain(a) = domain(b) )
| ~ defined(d,b) ),
inference(light_normalisation,[status(thm)],[c_253556,c_277051]) ).
tcf(c_287242,plain,
! [X0: $i] :
( product(compose(X0,g),c,X0)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_239117,c_86203]) ).
tcf(c_287251,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X2,X1)
| ~ identity_map(d)
| ~ defined(X1,g)
| ~ defined(X0,h)
| ~ product(c,c,X2)
| ~ product(X0,d,compose(X1,g)) ),
inference(superposition,[status(thm)],[c_287242,c_237606]) ).
tcf(c_287253,plain,
! [X0: $i] :
( defined(codomain(compose(X0,g)),X0)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_287242,c_258349]) ).
tcf(c_287254,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(d)
| ~ defined(c,X2)
| ~ defined(X0,g)
| ~ product(d,X2,c)
| ~ product(compose(X0,g),g,X1) ),
inference(superposition,[status(thm)],[c_287242,c_237395]) ).
tcf(c_287255,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X2),X0)
| ~ identity_map(d)
| ~ defined(c,X2)
| ~ defined(X0,g)
| ~ product(d,X2,c)
| ~ product(compose(X0,g),h,X1) ),
inference(superposition,[status(thm)],[c_287242,c_237220]) ).
tcf(c_287256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X2,c,X3)
| ~ identity_map(d)
| ~ defined(X1,g)
| ~ product(X0,X1,X3)
| ~ product(X0,compose(X1,g),X2) ),
inference(superposition,[status(thm)],[c_287242,c_80]) ).
tcf(c_287257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X0,g),X3,X2)
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_287242,c_77]) ).
tcf(c_287258,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ identity_map(d)
| ~ defined(X1,g)
| ~ defined(X0,X1)
| ~ product(X0,compose(X1,g),X2) ),
inference(superposition,[status(thm)],[c_287242,c_79]) ).
tcf(c_287259,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ product(compose(X0,g),c,X1) ),
inference(superposition,[status(thm)],[c_287242,c_90]) ).
tcf(c_287260,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(X1,g))
| ~ identity_map(d)
| ~ defined(X1,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_287242,c_78]) ).
tcf(c_287261,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(X2,g),X1)
| ~ identity_map(d)
| ~ defined(X2,g)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_287242,c_76]) ).
tcf(c_287262,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ defined(X0,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_287242,c_75]) ).
tcf(c_287263,plain,
! [X0: $i] :
( defined(compose(X0,g),c)
| ~ identity_map(d)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_287242,c_74]) ).
tcf(c_287265,plain,
! [X0: $i,X1: $i] :
( product(g,c,X1)
| ~ identity_map(d)
| ~ defined(c,g)
| ~ product(d,g,X0)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_287242,c_237396]) ).
tcf(c_287267,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ identity_map(d)
| ~ defined(c,g)
| ~ product(d,g,X0)
| ~ product(X0,c,X1) ),
inference(superposition,[status(thm)],[c_287242,c_237221]) ).
tcf(c_287268,plain,
( ( codomain(d) = d )
| ~ identity_map(d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_287242,c_237508]) ).
tcf(c_287273,plain,
( ( codomain(d) = d )
| ~ identity_map(d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287268,c_234477]) ).
tcf(c_287638,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ product(X0,domain(h),X1) ),
inference(global_subsumption_just,[status(thm)],[c_254959,c_13250,c_91524,c_202340]) ).
tcf(c_287645,plain,
! [X0: $i] :
( defined(compose(X0,domain(h)),c)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_73,c_287638]) ).
tcf(c_287649,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(domain(h))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_89,c_287638]) ).
tcf(c_287656,plain,
! [X0: $i] :
( defined(X0,c)
| ~ defined(X0,domain(h)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287649,c_82]) ).
tcf(c_287667,plain,
! [X0: $i] :
( defined(domain(X0),c)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_287656]) ).
tcf(c_287668,plain,
! [X0: $i] :
( defined(codomain(X0),c)
| ~ identity_map(X0)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_287656]) ).
tcf(c_287669,plain,
( defined(domain(c),c)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_287656]) ).
tcf(c_287671,plain,
( defined(domain(b),c)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_287656]) ).
tcf(c_287672,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_246270,c_287656]) ).
tcf(c_287674,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_258558,c_287656]) ).
tcf(c_287695,plain,
! [X0: $i] :
( defined(codomain(compose(domain(h),X0)),c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_287656]) ).
tcf(c_287762,plain,
! [X0: $i] :
( defined(compose(X0,domain(h)),a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_287645,c_234315]) ).
tcf(c_287771,plain,
defined(domain(codomain(domain(h))),c),
inference(superposition,[status(thm)],[c_85,c_287667]) ).
tcf(c_287773,plain,
! [X0: $i] :
( defined(domain(domain(X0)),c)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_287667]) ).
tcf(c_287774,plain,
! [X0: $i] :
( defined(domain(codomain(X0)),c)
| ~ identity_map(X0)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_287667]) ).
tcf(c_287775,plain,
( defined(domain(domain(c)),c)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_287667]) ).
tcf(c_287776,plain,
( defined(domain(codomain(d)),c)
| ~ identity_map(h)
| ~ defined(h,domain(h)) ),
inference(superposition,[status(thm)],[c_234469,c_287667]) ).
tcf(c_287777,plain,
( defined(domain(domain(b)),c)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_287667]) ).
tcf(c_287778,plain,
( defined(domain(codomain(h)),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_246270,c_287667]) ).
tcf(c_287779,plain,
( defined(domain(codomain(g)),c)
| ~ identity_map(h)
| ~ defined(h,domain(h)) ),
inference(superposition,[status(thm)],[c_258645,c_287667]) ).
tcf(c_287780,plain,
( defined(domain(codomain(g)),c)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_258558,c_287667]) ).
tcf(c_287781,plain,
defined(domain(domain(h)),c),
inference(superposition,[status(thm)],[c_236024,c_287667]) ).
tcf(c_287782,plain,
( defined(domain(compose(codomain(d),g)),c)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(superposition,[status(thm)],[c_237570,c_287667]) ).
tcf(c_287785,plain,
( defined(domain(d),c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_261407,c_287667]) ).
tcf(c_287786,plain,
( defined(domain(d),c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_261406,c_287667]) ).
tcf(c_287787,plain,
( defined(domain(d),c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_255103,c_287667]) ).
tcf(c_287788,plain,
( defined(domain(d),c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_254749,c_287667]) ).
tcf(c_287791,plain,
( defined(domain(b),c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_255127,c_287667]) ).
tcf(c_287794,plain,
( defined(domain(b),c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_254790,c_287667]) ).
tcf(c_287795,plain,
( defined(domain(c),c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_261311,c_287667]) ).
tcf(c_287796,plain,
( defined(domain(c),c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_261310,c_287667]) ).
tcf(c_287799,plain,
defined(domain(g),c),
inference(superposition,[status(thm)],[c_254775,c_287667]) ).
tcf(c_287800,plain,
defined(domain(compose(codomain(d),g)),c),
inference(superposition,[status(thm)],[c_255990,c_287667]) ).
tcf(c_287801,plain,
! [X0: $i] :
( defined(domain(codomain(compose(domain(h),X0))),c)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_287667]) ).
tcf(c_287802,plain,
! [X0: $i] :
( defined(domain(compose(X0,h)),c)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_260639,c_287667]) ).
tcf(c_287803,plain,
defined(domain(compose(codomain(h),g)),c),
inference(superposition,[status(thm)],[c_281660,c_287667]) ).
tcf(c_287835,plain,
( defined(domain(codomain(g)),c)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287779,c_84]) ).
tcf(c_287841,plain,
( defined(domain(codomain(d)),c)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287776,c_84]) ).
tcf(c_287845,plain,
( defined(domain(h),c)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(light_normalisation,[status(thm)],[c_287782,c_255960]) ).
tcf(c_287989,plain,
( defined(d,codomain(c))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_234798]) ).
tcf(c_287991,plain,
( defined(domain(d),a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_234315]) ).
tcf(c_287992,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_271928]) ).
tcf(c_287993,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_269183]) ).
tcf(c_287994,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_268557]) ).
tcf(c_287996,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_235829]) ).
tcf(c_287997,plain,
( defined(c,codomain(c))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_234754]) ).
tcf(c_287998,plain,
( defined(b,codomain(c))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_234526]) ).
tcf(c_288004,plain,
( defined(b,a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287785,c_235348]) ).
tcf(c_288033,plain,
( defined(domain(d),a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_234315]) ).
tcf(c_288034,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_271928]) ).
tcf(c_288035,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_269183]) ).
tcf(c_288036,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_268557]) ).
tcf(c_288040,plain,
( defined(b,codomain(c))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_234526]) ).
tcf(c_288042,plain,
( defined(b,c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287786,c_234360]) ).
tcf(c_288070,plain,
( defined(domain(d),a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287787,c_234315]) ).
tcf(c_288074,plain,
( defined(domain(c),c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287787,c_257986]) ).
tcf(c_288076,plain,
( defined(c,codomain(c))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287787,c_234754]) ).
tcf(c_288078,plain,
( defined(c,c)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287787,c_234363]) ).
tcf(c_288085,plain,
( defined(d,a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287787,c_235612]) ).
tcf(c_288100,plain,
( defined(d,codomain(c))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_234798]) ).
tcf(c_288102,plain,
( defined(domain(d),a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_234315]) ).
tcf(c_288103,plain,
( defined(codomain(d),c)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_271928]) ).
tcf(c_288104,plain,
( defined(codomain(g),c)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_269183]) ).
tcf(c_288105,plain,
( defined(codomain(h),c)
| ~ identity_map(d)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_268557]) ).
tcf(c_288106,plain,
( defined(domain(c),c)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_257986]) ).
tcf(c_288107,plain,
( defined(a,c)
| ~ identity_map(b)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_235829]) ).
tcf(c_288108,plain,
( defined(c,codomain(c))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_234754]) ).
tcf(c_288109,plain,
( defined(b,codomain(c))
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_234526]) ).
tcf(c_288114,plain,
( defined(c,a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287788,c_235407]) ).
tcf(c_288166,plain,
! [X0: $i] :
( product(g,c,X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(global_subsumption_just,[status(thm)],[c_239119,c_6510,c_19136]) ).
tcf(c_288176,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(compose(X0,h),X1,X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,g)
| ~ defined(X0,h)
| ~ product(c,c,X1)
| ~ product(X0,d,g) ),
inference(superposition,[status(thm)],[c_288166,c_237606]) ).
tcf(c_288177,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_288166,c_260630]) ).
tcf(c_288178,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_288166,c_258349]) ).
tcf(c_288179,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(c,X0)
| ~ defined(X2,g)
| ~ product(g,g,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_288166,c_237395]) ).
tcf(c_288180,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,compose(c,X0),X2)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(c,X0)
| ~ defined(X2,g)
| ~ product(g,h,X1)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_288166,c_237220]) ).
tcf(c_288181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,c,X2)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ product(X0,g,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_288166,c_80]) ).
tcf(c_288182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,X3,X2)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ product(c,X1,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_288166,c_77]) ).
tcf(c_288183,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,g)
| ~ defined(X0,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_288166,c_79]) ).
tcf(c_288184,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ product(g,c,X0) ),
inference(superposition,[status(thm)],[c_288166,c_90]) ).
tcf(c_288185,plain,
! [X0: $i,X1: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X1)
| ~ defined(X1,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_288166,c_78]) ).
tcf(c_288186,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,X1)
| ~ identity_map(d)
| ~ identity_map(X2)
| ~ defined(X2,g)
| ~ defined(X2,X0)
| ~ product(c,X0,X1) ),
inference(superposition,[status(thm)],[c_288166,c_76]) ).
tcf(c_288187,plain,
! [X0: $i,X1: $i] :
( defined(c,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_288166,c_75]) ).
tcf(c_288189,plain,
! [X0: $i] :
( ( domain(c) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_288166,c_250906]) ).
tcf(c_288190,plain,
! [X0: $i] :
( ( X0 = d )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_288166,c_234380]) ).
tcf(c_288303,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ product(X0,domain(h),X1) ),
inference(global_subsumption_just,[status(thm)],[c_255364,c_13455,c_91524,c_202502]) ).
tcf(c_288314,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(domain(h))
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_89,c_288303]) ).
tcf(c_288319,plain,
! [X0: $i] :
( defined(X0,a)
| ~ defined(X0,domain(h)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288314,c_82]) ).
tcf(c_288329,plain,
! [X0: $i] :
( defined(domain(X0),a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_288319]) ).
tcf(c_288330,plain,
! [X0: $i] :
( defined(codomain(X0),a)
| ~ identity_map(X0)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_288319]) ).
tcf(c_288331,plain,
( defined(domain(c),a)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_288319]) ).
tcf(c_288333,plain,
( defined(domain(b),a)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_288319]) ).
tcf(c_288334,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_246270,c_288319]) ).
tcf(c_288336,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_258558,c_288319]) ).
tcf(c_288357,plain,
! [X0: $i] :
( defined(codomain(compose(domain(h),X0)),a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_288319]) ).
tcf(c_288397,plain,
! [X0: $i,X1: $i] :
( defined(domain(h),X1)
| ~ product(a,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255367,c_74]) ).
tcf(c_288409,plain,
( defined(domain(h),d)
| ~ identity_map(h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_270616,c_288397]) ).
tcf(c_288410,plain,
! [X0: $i] :
( defined(domain(h),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,a) ),
inference(superposition,[status(thm)],[c_237174,c_288397]) ).
tcf(c_288411,plain,
( defined(domain(h),compose(a,d))
| ~ identity_map(h)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_269236,c_288397]) ).
tcf(c_288449,plain,
( defined(domain(b),a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_287791,c_234315]) ).
tcf(c_288468,plain,
( defined(domain(b),a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_287794,c_234315]) ).
tcf(c_288487,plain,
( defined(domain(c),a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287795,c_234315]) ).
tcf(c_288510,plain,
( defined(domain(c),a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_287796,c_234315]) ).
tcf(c_288532,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_287991,c_81]) ).
tcf(c_288535,plain,
( ( domain(domain(d)) = domain(h) )
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287991,c_276901]) ).
tcf(c_288537,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287991,c_271928]) ).
tcf(c_288538,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287991,c_269183]) ).
tcf(c_288539,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287991,c_268557]) ).
tcf(c_288543,plain,
( defined(b,codomain(a))
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_287991,c_234526]) ).
tcf(c_288622,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(b,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288033,c_81]) ).
tcf(c_288623,plain,
( defined(d,codomain(a))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_234798]) ).
tcf(c_288625,plain,
( ( domain(domain(d)) = domain(h) )
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_276901]) ).
tcf(c_288627,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_271928]) ).
tcf(c_288628,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_269183]) ).
tcf(c_288629,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_268557]) ).
tcf(c_288631,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_235829]) ).
tcf(c_288632,plain,
( defined(c,codomain(a))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_234754]) ).
tcf(c_288633,plain,
( defined(b,codomain(a))
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288033,c_234526]) ).
tcf(c_288767,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(c,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288070,c_81]) ).
tcf(c_288770,plain,
( ( domain(domain(d)) = domain(h) )
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_276901]) ).
tcf(c_288772,plain,
( defined(codomain(d),a)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_271928]) ).
tcf(c_288773,plain,
( defined(codomain(g),a)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_269183]) ).
tcf(c_288774,plain,
( defined(codomain(h),a)
| ~ identity_map(d)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_268557]) ).
tcf(c_288775,plain,
( defined(domain(c),a)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_257986]) ).
tcf(c_288776,plain,
( defined(a,a)
| ~ identity_map(b)
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_235829]) ).
tcf(c_288777,plain,
( defined(c,codomain(a))
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288070,c_234754]) ).
tcf(c_288809,plain,
! [X0: $i] :
( defined(domain(d),X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288102,c_81]) ).
tcf(c_288812,plain,
( ( domain(domain(d)) = domain(h) )
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_288102,c_276901]) ).
tcf(c_288817,plain,
( defined(domain(c),a)
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_288102,c_257986]) ).
tcf(c_288839,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ product(X0,g,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255514,c_74]) ).
tcf(c_288856,plain,
! [X0: $i] :
( defined(g,compose(domain(h),X0))
| ~ defined(g,X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_73,c_255517]) ).
tcf(c_288860,plain,
( defined(g,d)
| ~ identity_map(h)
| ~ identity_map(domain(h))
| ~ defined(g,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_270616,c_255517]) ).
tcf(c_288862,plain,
! [X0: $i] :
( defined(g,compose(X0,d))
| ~ defined(g,c)
| ~ defined(X0,d)
| ~ product(X0,g,domain(h)) ),
inference(superposition,[status(thm)],[c_237174,c_255517]) ).
tcf(c_288863,plain,
( defined(g,compose(domain(h),d))
| ~ identity_map(h)
| ~ defined(g,c)
| ~ defined(domain(h),d) ),
inference(superposition,[status(thm)],[c_269236,c_255517]) ).
tcf(c_288870,plain,
( defined(g,compose(domain(h),d))
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288863,c_234200]) ).
tcf(c_288874,plain,
! [X0: $i] :
( defined(g,compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,domain(h)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288862,c_234200]) ).
tcf(c_288878,plain,
( defined(g,d)
| ~ identity_map(h)
| ~ defined(domain(h),d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288860,c_82,c_234200]) ).
tcf(c_288890,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(a)
| ~ defined(c,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288449,c_81]) ).
tcf(c_288893,plain,
( ( domain(domain(b)) = domain(h) )
| ~ defined(c,a) ),
inference(superposition,[status(thm)],[c_288449,c_276901]) ).
tcf(c_288913,plain,
! [X0: $i] :
( defined(domain(b),X0)
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288468,c_81]) ).
tcf(c_288916,plain,
( ( domain(domain(b)) = domain(h) )
| ~ defined(c,c) ),
inference(superposition,[status(thm)],[c_288468,c_276901]) ).
tcf(c_288936,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(a)
| ~ defined(b,c)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288487,c_81]) ).
tcf(c_288939,plain,
( ( domain(domain(c)) = domain(h) )
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_288487,c_276901]) ).
tcf(c_288976,plain,
! [X0: $i] :
( defined(domain(c),X0)
| ~ identity_map(a)
| ~ defined(b,a)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_288510,c_81]) ).
tcf(c_288979,plain,
( ( domain(domain(c)) = domain(h) )
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_288510,c_276901]) ).
tcf(c_289031,plain,
( defined(domain(b),c)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_261407,c_287671]) ).
tcf(c_289032,plain,
( defined(domain(b),c)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_261406,c_287671]) ).
tcf(c_289044,plain,
defined(domain(codomain(domain(h))),a),
inference(superposition,[status(thm)],[c_85,c_288329]) ).
tcf(c_289046,plain,
! [X0: $i] :
( defined(domain(domain(X0)),a)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234236,c_288329]) ).
tcf(c_289047,plain,
! [X0: $i] :
( defined(domain(codomain(X0)),a)
| ~ identity_map(X0)
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_234347,c_288329]) ).
tcf(c_289048,plain,
( defined(domain(domain(c)),a)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_244252,c_288329]) ).
tcf(c_289049,plain,
( defined(domain(codomain(d)),a)
| ~ identity_map(h)
| ~ defined(h,domain(h)) ),
inference(superposition,[status(thm)],[c_234469,c_288329]) ).
tcf(c_289050,plain,
( defined(domain(domain(b)),a)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_253500,c_288329]) ).
tcf(c_289051,plain,
( defined(domain(codomain(h)),a)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_246270,c_288329]) ).
tcf(c_289052,plain,
( defined(domain(codomain(g)),a)
| ~ identity_map(h)
| ~ defined(h,domain(h)) ),
inference(superposition,[status(thm)],[c_258645,c_288329]) ).
tcf(c_289053,plain,
( defined(domain(codomain(g)),a)
| ~ identity_map(d)
| ~ defined(d,domain(h)) ),
inference(superposition,[status(thm)],[c_258558,c_288329]) ).
tcf(c_289054,plain,
defined(domain(domain(h)),a),
inference(superposition,[status(thm)],[c_236024,c_288329]) ).
tcf(c_289055,plain,
( defined(domain(compose(codomain(d),g)),a)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(superposition,[status(thm)],[c_237570,c_288329]) ).
tcf(c_289072,plain,
defined(domain(g),a),
inference(superposition,[status(thm)],[c_254775,c_288329]) ).
tcf(c_289073,plain,
defined(domain(compose(codomain(d),g)),a),
inference(superposition,[status(thm)],[c_255990,c_288329]) ).
tcf(c_289074,plain,
! [X0: $i] :
( defined(domain(codomain(compose(domain(h),X0))),a)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_259762,c_288329]) ).
tcf(c_289075,plain,
! [X0: $i] :
( defined(domain(compose(X0,h)),a)
| ~ defined(X0,h) ),
inference(superposition,[status(thm)],[c_260639,c_288329]) ).
tcf(c_289076,plain,
defined(domain(compose(codomain(h),g)),a),
inference(superposition,[status(thm)],[c_281660,c_288329]) ).
tcf(c_289092,plain,
( defined(domain(codomain(g)),a)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289052,c_84]) ).
tcf(c_289098,plain,
( defined(domain(codomain(d)),a)
| ~ identity_map(h) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289049,c_84]) ).
tcf(c_289102,plain,
( defined(domain(h),a)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(light_normalisation,[status(thm)],[c_289055,c_255960]) ).
tcf(c_289119,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ defined(codomain(d),d)
| ~ product(codomain(d),g,b) ),
inference(superposition,[status(thm)],[c_236653,c_239181]) ).
tcf(c_289120,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ defined(codomain(h),d)
| ~ product(codomain(h),g,b) ),
inference(superposition,[status(thm)],[c_245972,c_239181]) ).
tcf(c_289121,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ defined(codomain(g),d)
| ~ product(codomain(g),g,b) ),
inference(superposition,[status(thm)],[c_278906,c_239181]) ).
tcf(c_289122,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ identity_map(compose(X0,d))
| ~ product(X0,g,b)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_239181,c_81]) ).
tcf(c_289123,plain,
! [X0: $i] :
( defined(a,X0)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_239181,c_234318]) ).
tcf(c_289124,plain,
! [X0: $i] :
( defined(g,compose(X0,d))
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_239181,c_234456]) ).
tcf(c_289125,plain,
! [X0: $i] :
( defined(h,compose(X0,d))
| ~ identity_map(a)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_239181,c_234446]) ).
tcf(c_289126,plain,
! [X0: $i,X1: $i] :
( defined(a,X1)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_239181,c_238318]) ).
tcf(c_289127,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,c)
| ~ defined(c,c)
| ~ defined(X0,d)
| ~ product(X0,g,b)
| ~ product(a,X1,X2)
| ~ product(X0,g,X1) ),
inference(superposition,[status(thm)],[c_239181,c_238316]) ).
tcf(c_289132,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ product(codomain(g),g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289121,c_258357]) ).
tcf(c_289136,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ product(codomain(h),g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289120,c_246238]) ).
tcf(c_289140,plain,
( defined(a,d)
| ~ defined(c,c)
| ~ product(codomain(d),g,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289119,c_85]) ).
tcf(c_289235,plain,
! [X0: $i] :
( defined(compose(X0,domain(a)),b)
| ~ defined(X0,b)
| ~ defined(X0,domain(a)) ),
inference(superposition,[status(thm)],[c_73,c_277349]) ).
tcf(c_289247,plain,
! [X0: $i,X1: $i] :
( defined(domain(a),X1)
| ~ product(b,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277352,c_74]) ).
tcf(c_289258,plain,
( defined(domain(a),d)
| ~ identity_map(h)
| ~ identity_map(b)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_270616,c_289247]) ).
tcf(c_289259,plain,
! [X0: $i] :
( defined(domain(a),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_237174,c_289247]) ).
tcf(c_289260,plain,
( defined(domain(a),compose(b,d))
| ~ identity_map(h)
| ~ defined(b,d) ),
inference(superposition,[status(thm)],[c_269236,c_289247]) ).
tcf(c_289329,plain,
! [X0: $i] :
( defined(compose(X0,codomain(g)),d)
| ~ defined(X0,d)
| ~ defined(X0,codomain(g)) ),
inference(superposition,[status(thm)],[c_73,c_279333]) ).
tcf(c_289358,plain,
( defined(domain(b),a)
| ~ defined(b,c) ),
inference(superposition,[status(thm)],[c_261407,c_288333]) ).
tcf(c_289359,plain,
( defined(domain(b),a)
| ~ defined(b,a) ),
inference(superposition,[status(thm)],[c_261406,c_288333]) ).
tcf(c_289366,plain,
( ( domain(b) = domain(h) )
| ~ defined(d,a) ),
inference(light_normalisation,[status(thm)],[c_253559,c_254670]) ).
tcf(c_289378,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,h)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_253629,c_81]) ).
tcf(c_289379,plain,
( defined(d,compose(codomain(d),g))
| ~ defined(d,h) ),
inference(superposition,[status(thm)],[c_253629,c_244425]) ).
tcf(c_289389,plain,
( ( domain(b) = domain(h) )
| ~ defined(d,c) ),
inference(light_normalisation,[status(thm)],[c_254133,c_254670]) ).
tcf(c_289401,plain,
! [X0: $i] :
( defined(b,X0)
| ~ defined(d,h)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_254218,c_81]) ).
tcf(c_289418,plain,
! [X0: $i] :
( product(X0,c,c)
| ~ defined(c,domain(c))
| ~ product(a,h,X0)
| ~ product(d,domain(c),b) ),
inference(superposition,[status(thm)],[c_235952,c_239578]) ).
tcf(c_289419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X2,h),X1,c)
| ~ defined(c,X0)
| ~ defined(X2,h)
| ~ product(d,X0,b)
| ~ product(a,h,X3)
| ~ product(X2,d,X3)
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_237606]) ).
tcf(c_289420,plain,
! [X0: $i,X1: $i] :
( defined(c,domain(compose(c,X1)))
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_260630]) ).
tcf(c_289421,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),c)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_258349]) ).
tcf(c_289422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),c)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(d,X1,b)
| ~ product(a,h,X2)
| ~ product(X2,g,X3)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239578,c_237395]) ).
tcf(c_289423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),c)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(d,X1,b)
| ~ product(a,h,X2)
| ~ product(X2,h,X3)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239578,c_237220]) ).
tcf(c_289424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,compose(c,X4),X3)
| ~ defined(c,X4)
| ~ product(d,X4,b)
| ~ product(a,h,X1)
| ~ product(X0,c,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_80]) ).
tcf(c_289425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X4,X2,X3)
| ~ defined(c,X0)
| ~ product(d,X0,b)
| ~ product(a,h,X4)
| ~ product(c,X1,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_77]) ).
tcf(c_289426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,compose(c,X3))
| ~ defined(c,X3)
| ~ defined(X0,c)
| ~ product(d,X3,b)
| ~ product(a,h,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_79]) ).
tcf(c_289427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = c )
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0)
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239578,c_90]) ).
tcf(c_289428,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(c,X1)
| ~ defined(X2,c)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_78]) ).
tcf(c_289429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(d,X0,b)
| ~ product(a,h,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_76]) ).
tcf(c_289430,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(c,X1),X2)
| ~ defined(c,X2)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_75]) ).
tcf(c_289431,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(c,X1))
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_74]) ).
tcf(c_289432,plain,
! [X0: $i] :
( defined(domain(a),c)
| ~ defined(c,X0)
| ~ product(a,h,b)
| ~ product(d,X0,b) ),
inference(superposition,[status(thm)],[c_239578,c_289247]) ).
tcf(c_289433,plain,
! [X0: $i] :
( defined(a,c)
| ~ defined(c,X0)
| ~ product(a,h,b)
| ~ product(d,X0,b)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_234272]) ).
tcf(c_289436,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),c,X1)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(a,h,c)
| ~ product(d,X0,b)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_238087]) ).
tcf(c_289438,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),c,X1)
| ~ defined(c,X0)
| ~ product(a,h,c)
| ~ product(d,X0,b)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_237506]) ).
tcf(c_289439,plain,
! [X0: $i,X1: $i] :
( product(g,c,X1)
| ~ defined(c,X0)
| ~ product(a,h,c)
| ~ product(d,X0,b)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_234651]) ).
tcf(c_289440,plain,
! [X0: $i,X1: $i] :
( product(h,c,X1)
| ~ defined(c,X0)
| ~ product(a,h,c)
| ~ product(d,X0,b)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_234650]) ).
tcf(c_289443,plain,
! [X0: $i,X1: $i] :
( defined(X0,c)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(a,h,domain(X0))
| ~ defined(X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239578,c_234276]) ).
tcf(c_289444,plain,
! [X0: $i] :
( ( compose(c,X0) = c )
| ~ defined(c,X0)
| ~ product(d,X0,b)
| ~ product(a,h,codomain(compose(c,X0))) ),
inference(superposition,[status(thm)],[c_239578,c_234383]) ).
tcf(c_289445,plain,
! [X0: $i] :
( defined(codomain(h),c)
| ~ defined(c,X0)
| ~ product(a,h,d)
| ~ product(d,X0,b) ),
inference(superposition,[status(thm)],[c_239578,c_285749]) ).
tcf(c_289446,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(a,h,d)
| ~ product(d,X0,b)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_237399]) ).
tcf(c_289447,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(c,X0)
| ~ defined(X1,c)
| ~ product(a,h,d)
| ~ product(d,X0,b)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_237224]) ).
tcf(c_289448,plain,
! [X0: $i] :
( product(g,c,c)
| ~ defined(c,X0)
| ~ product(a,h,d)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,b)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_236635]) ).
tcf(c_289449,plain,
! [X0: $i] :
( product(h,c,c)
| ~ defined(c,X0)
| ~ product(a,h,d)
| ~ identity_map(compose(c,X0))
| ~ product(d,X0,b)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_235934]) ).
tcf(c_289450,plain,
! [X0: $i,X1: $i] :
( ( X1 = c )
| ~ defined(c,X0)
| ~ product(a,h,h)
| ~ product(d,X0,b)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_239578,c_237223]) ).
tcf(c_289451,plain,
! [X0: $i,X1: $i] :
( ( X1 = c )
| ~ defined(c,X0)
| ~ product(a,h,g)
| ~ product(d,X0,b)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_239578,c_237398]) ).
tcf(c_289453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,c,X2)
| ~ defined(c,X3)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(d,X3,X0)
| ~ product(a,h,compose(c,X3))
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239578,c_237396]) ).
tcf(c_289455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,c,X2)
| ~ defined(c,X3)
| ~ defined(c,X1)
| ~ product(d,X1,b)
| ~ product(d,X3,X0)
| ~ product(a,h,compose(c,X3))
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239578,c_237221]) ).
tcf(c_289456,plain,
! [X0: $i,X1: $i] :
( defined(c,c)
| ~ defined(c,h)
| ~ defined(X0,X1)
| ~ product(d,h,b)
| ~ product(c,d,X1)
| ~ product(a,h,X0) ),
inference(superposition,[status(thm)],[c_239578,c_237607]) ).
tcf(c_289457,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(c,c,X2)
| ~ defined(c,h)
| ~ product(d,h,b)
| ~ product(c,d,X1)
| ~ product(a,h,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_237605]) ).
tcf(c_289459,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,c)
| ~ defined(c,d)
| ~ product(d,d,b)
| ~ product(c,g,X1)
| ~ product(a,h,X0)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239578,c_238314]) ).
tcf(c_289460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,c)
| ~ defined(c,X0)
| ~ defined(X2,d)
| ~ product(d,X0,b)
| ~ product(X2,g,X3)
| ~ product(a,h,compose(X2,d))
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239578,c_238315]) ).
tcf(c_289461,plain,
! [X0: $i] :
( defined(d,c)
| ~ defined(c,X0)
| ~ product(d,X0,b)
| ~ product(a,h,domain(c))
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239578,c_244251]) ).
tcf(c_289483,plain,
! [X0: $i] :
( product(X0,c,c)
| ~ product(a,h,X0)
| ~ product(d,domain(c),b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289418,c_84]) ).
tcf(c_289819,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ product(d,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279336,c_74]) ).
tcf(c_289826,plain,
! [X0: $i] :
( defined(codomain(g),compose(d,X0))
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_73,c_289819]) ).
tcf(c_289831,plain,
! [X0: $i] :
( defined(codomain(g),compose(X0,d))
| ~ defined(X0,d)
| ~ product(X0,g,d) ),
inference(superposition,[status(thm)],[c_237174,c_289819]) ).
tcf(c_289832,plain,
( defined(codomain(g),compose(d,d))
| ~ identity_map(h)
| ~ defined(d,d) ),
inference(superposition,[status(thm)],[c_269236,c_289819]) ).
tcf(c_289835,plain,
! [X0: $i] :
( defined(codomain(g),c)
| ~ defined(c,X0)
| ~ product(a,h,d)
| ~ product(d,X0,b) ),
inference(superposition,[status(thm)],[c_239578,c_289819]) ).
tcf(c_289881,plain,
! [X0: $i,X1: $i] :
( defined(codomain(g),X1)
| ~ defined(d,X0)
| ~ identity_map(compose(d,X0))
| ~ defined(compose(d,X0),X1) ),
inference(superposition,[status(thm)],[c_289826,c_81]) ).
tcf(c_289914,plain,
! [X0: $i] :
( defined(codomain(g),X0)
| ~ defined(d,d)
| ~ product(d,g,X0) ),
inference(superposition,[status(thm)],[c_289826,c_238318]) ).
tcf(c_289915,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ defined(d,d)
| ~ product(d,g,X0)
| ~ product(codomain(g),X0,X1) ),
inference(superposition,[status(thm)],[c_289826,c_238316]) ).
tcf(c_289933,plain,
( ( compose(codomain(g),c) = d )
| ~ identity_map(h)
| ~ defined(codomain(g),c) ),
inference(superposition,[status(thm)],[c_73,c_279391]) ).
tcf(c_289937,plain,
! [X0: $i] :
( ( compose(X0,d) = d )
| ~ identity_map(h)
| ~ defined(X0,d)
| ~ product(X0,g,codomain(g)) ),
inference(superposition,[status(thm)],[c_237174,c_279391]) ).
tcf(c_289954,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),g),X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X0)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_281104,c_81]) ).
tcf(c_289961,plain,
( defined(compose(codomain(h),g),g)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_281104,c_234317]) ).
tcf(c_289962,plain,
( defined(compose(codomain(h),g),h)
| ~ identity_map(a)
| ~ defined(a,d) ),
inference(superposition,[status(thm)],[c_281104,c_234316]) ).
tcf(c_289965,plain,
( defined(compose(codomain(h),g),g)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_281104,c_246376]) ).
tcf(c_289966,plain,
( defined(compose(codomain(h),g),d)
| ~ identity_map(a)
| ~ defined(a,h) ),
inference(superposition,[status(thm)],[c_281104,c_246274]) ).
tcf(c_289967,plain,
( defined(compose(codomain(h),g),h)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_281104,c_258650]) ).
tcf(c_289968,plain,
( defined(compose(codomain(h),g),d)
| ~ identity_map(a)
| ~ defined(a,g) ),
inference(superposition,[status(thm)],[c_281104,c_258563]) ).
tcf(c_289969,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),g),X0)
| ~ identity_map(a)
| ~ defined(X0,X1)
| ~ defined(a,compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_281104,c_234318]) ).
tcf(c_289970,plain,
( defined(domain(compose(codomain(h),g)),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_281104,c_251612]) ).
tcf(c_289971,plain,
( defined(compose(codomain(h),g),h)
| ~ identity_map(a)
| ~ defined(a,codomain(h)) ),
inference(superposition,[status(thm)],[c_281104,c_251604]) ).
tcf(c_289972,plain,
( defined(domain(compose(codomain(h),g)),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_281104,c_282633]) ).
tcf(c_289973,plain,
( defined(compose(codomain(h),g),g)
| ~ identity_map(a)
| ~ defined(a,codomain(g)) ),
inference(superposition,[status(thm)],[c_281104,c_282626]) ).
tcf(c_289974,plain,
( defined(domain(compose(codomain(h),g)),a)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(superposition,[status(thm)],[c_281104,c_288329]) ).
tcf(c_289976,plain,
( defined(domain(compose(codomain(h),g)),c)
| ~ identity_map(a)
| ~ defined(a,domain(h)) ),
inference(superposition,[status(thm)],[c_281104,c_287667]) ).
tcf(c_289978,plain,
! [X0: $i,X1: $i] :
( defined(compose(codomain(h),g),X1)
| ~ identity_map(a)
| ~ defined(X0,d)
| ~ product(X0,g,X1)
| ~ defined(a,compose(X0,d)) ),
inference(superposition,[status(thm)],[c_281104,c_238318]) ).
tcf(c_289979,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,c)
| ~ identity_map(a)
| ~ defined(X2,d)
| ~ product(X2,g,X0)
| ~ defined(a,compose(X2,d))
| ~ product(compose(codomain(h),g),X0,X1) ),
inference(superposition,[status(thm)],[c_281104,c_238316]) ).
tcf(c_289980,plain,
( defined(compose(codomain(h),g),g)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_281104,c_250907]) ).
tcf(c_289981,plain,
( defined(compose(codomain(h),g),h)
| ~ identity_map(d)
| ~ identity_map(a)
| ~ defined(a,domain(c)) ),
inference(superposition,[status(thm)],[c_281104,c_244206]) ).
tcf(c_290216,plain,
domain(codomain(c)) = domain(h),
inference(superposition,[status(thm)],[c_85,c_254738]) ).
tcf(c_290222,plain,
( ( domain(codomain(d)) = domain(h) )
| ~ identity_map(h)
| ~ defined(h,c) ),
inference(superposition,[status(thm)],[c_234469,c_254738]) ).
tcf(c_290240,plain,
( ( domain(codomain(h)) = domain(h) )
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_246270,c_254738]) ).
tcf(c_290242,plain,
( ( domain(codomain(g)) = domain(h) )
| ~ identity_map(d)
| ~ defined(d,c) ),
inference(superposition,[status(thm)],[c_258558,c_254738]) ).
tcf(c_290254,plain,
( ( domain(domain(h)) = domain(h) )
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_255418,c_254738]) ).
tcf(c_290255,plain,
( ( domain(domain(h)) = domain(h) )
| ~ identity_map(a)
| ~ defined(a,c) ),
inference(superposition,[status(thm)],[c_254948,c_254738]) ).
tcf(c_290256,plain,
! [X0: $i] :
( ( domain(codomain(compose(c,X0))) = domain(h) )
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_259762,c_254738]) ).
tcf(c_290259,plain,
! [X0: $i] :
( ( domain(compose(X0,domain(h))) = domain(h) )
| ~ defined(X0,domain(h)) ),
inference(superposition,[status(thm)],[c_287645,c_254738]) ).
tcf(c_290279,plain,
( ( domain(h) = a )
| ~ identity_map(a)
| ~ defined(a,a) ),
inference(superposition,[status(thm)],[c_89,c_254788]) ).
tcf(c_290290,plain,
( ( domain(h) = a )
| ~ identity_map(a)
| ~ defined(domain(h),a) ),
inference(superposition,[status(thm)],[c_89,c_255120]) ).
tcf(c_290292,plain,
( ( domain(h) = a )
| ~ identity_map(a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290290,c_254944]) ).
tcf(c_290320,plain,
! [X0: $i] :
( defined(g,X0)
| ~ defined(h,d)
| ~ identity_map(compose(codomain(d),g))
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_255835,c_81]) ).
tcf(c_290321,plain,
( defined(g,codomain(d))
| ~ defined(h,d)
| ~ defined(codomain(d),g) ),
inference(superposition,[status(thm)],[c_255835,c_234318]) ).
tcf(c_290322,plain,
( defined(h,compose(codomain(d),g))
| ~ defined(h,d) ),
inference(superposition,[status(thm)],[c_255835,c_260765]) ).
tcf(c_290339,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ defined(c,domain(c))
| ~ product(h,h,X0)
| ~ product(d,domain(c),c) ),
inference(superposition,[status(thm)],[c_235952,c_239579]) ).
tcf(c_290340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(compose(X2,h),X1,d)
| ~ defined(c,X0)
| ~ defined(X2,h)
| ~ product(d,X0,c)
| ~ product(h,h,X3)
| ~ product(X2,d,X3)
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_237606]) ).
tcf(c_290341,plain,
! [X0: $i,X1: $i] :
( defined(d,domain(compose(c,X1)))
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_239579,c_260630]) ).
tcf(c_290342,plain,
! [X0: $i,X1: $i] :
( defined(codomain(X0),d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_239579,c_258349]) ).
tcf(c_290343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),d)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(d,X1,c)
| ~ product(h,h,X2)
| ~ product(X2,g,X3)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239579,c_237395]) ).
tcf(c_290344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,compose(c,X0),d)
| ~ defined(c,X1)
| ~ defined(c,X0)
| ~ product(d,X1,c)
| ~ product(h,h,X2)
| ~ product(X2,h,X3)
| ~ product(d,X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239579,c_237220]) ).
tcf(c_290345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X2,compose(c,X4),X3)
| ~ defined(c,X4)
| ~ product(d,X4,c)
| ~ product(h,h,X1)
| ~ product(X0,d,X3)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_80]) ).
tcf(c_290346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( product(X4,X2,X3)
| ~ defined(c,X0)
| ~ product(d,X0,c)
| ~ product(h,h,X4)
| ~ product(d,X1,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_77]) ).
tcf(c_290347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X2,compose(c,X3))
| ~ defined(c,X3)
| ~ defined(X0,d)
| ~ product(d,X3,c)
| ~ product(h,h,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_79]) ).
tcf(c_290348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = d )
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0)
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239579,c_90]) ).
tcf(c_290349,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ defined(c,X1)
| ~ defined(X2,d)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_239579,c_78]) ).
tcf(c_290350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( defined(X3,X2)
| ~ defined(d,X1)
| ~ defined(c,X0)
| ~ product(d,X0,c)
| ~ product(h,h,X3)
| ~ product(compose(c,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_76]) ).
tcf(c_290351,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(compose(c,X1),X2)
| ~ defined(d,X2)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_239579,c_75]) ).
tcf(c_290352,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(c,X1))
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,X0) ),
inference(superposition,[status(thm)],[c_239579,c_74]) ).
tcf(c_290353,plain,
! [X0: $i] :
( defined(domain(a),d)
| ~ defined(c,X0)
| ~ product(h,h,b)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_239579,c_289247]) ).
tcf(c_290354,plain,
! [X0: $i] :
( defined(a,d)
| ~ defined(c,X0)
| ~ product(h,h,b)
| ~ product(d,X0,c)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_234272]) ).
tcf(c_290355,plain,
! [X0: $i] :
( defined(domain(h),d)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_239579,c_283706]) ).
tcf(c_290356,plain,
! [X0: $i] :
( defined(codomain(d),d)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_238091]) ).
tcf(c_290357,plain,
! [X0: $i,X1: $i] :
( product(codomain(d),d,X1)
| ~ identity_map(h)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_238087]) ).
tcf(c_290358,plain,
! [X0: $i] :
( defined(compose(codomain(d),g),d)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_237510]) ).
tcf(c_290359,plain,
! [X0: $i,X1: $i] :
( product(compose(codomain(d),g),d,X1)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_237506]) ).
tcf(c_290360,plain,
! [X0: $i,X1: $i] :
( product(g,d,X1)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_234651]) ).
tcf(c_290361,plain,
! [X0: $i,X1: $i] :
( product(h,d,X1)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ product(d,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_234650]) ).
tcf(c_290362,plain,
! [X0: $i] :
( defined(g,d)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_234274]) ).
tcf(c_290363,plain,
! [X0: $i] :
( defined(h,d)
| ~ defined(c,X0)
| ~ product(h,h,c)
| ~ product(d,X0,c)
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_234273]) ).
tcf(c_290364,plain,
! [X0: $i,X1: $i] :
( defined(X0,d)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(h,h,domain(X0))
| ~ defined(X0,compose(c,X1)) ),
inference(superposition,[status(thm)],[c_239579,c_234276]) ).
tcf(c_290365,plain,
! [X0: $i] :
( ( compose(c,X0) = d )
| ~ defined(c,X0)
| ~ product(d,X0,c)
| ~ product(h,h,codomain(compose(c,X0))) ),
inference(superposition,[status(thm)],[c_239579,c_234383]) ).
tcf(c_290368,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(h,h,d)
| ~ product(d,X0,c)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_237399]) ).
tcf(c_290369,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ defined(c,X0)
| ~ defined(X1,d)
| ~ product(h,h,d)
| ~ product(d,X0,c)
| ~ defined(c,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_237224]) ).
tcf(c_290372,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ defined(c,X0)
| ~ product(h,h,h)
| ~ product(d,X0,c)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_239579,c_237223]) ).
tcf(c_290373,plain,
! [X0: $i,X1: $i] :
( ( X1 = d )
| ~ defined(c,X0)
| ~ product(h,h,g)
| ~ product(d,X0,c)
| ~ product(d,X0,X1) ),
inference(superposition,[status(thm)],[c_239579,c_237398]) ).
tcf(c_290374,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(g,d)
| ~ defined(c,X2)
| ~ defined(c,X0)
| ~ product(d,X2,c)
| ~ product(d,X0,X1)
| ~ defined(X1,compose(c,X2))
| ~ product(h,h,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_237400]) ).
tcf(c_290375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(g,d,X2)
| ~ defined(c,X3)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(d,X3,X0)
| ~ product(h,h,compose(c,X3))
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239579,c_237396]) ).
tcf(c_290376,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(h,d)
| ~ defined(c,X2)
| ~ defined(c,X0)
| ~ product(d,X2,c)
| ~ product(d,X0,X1)
| ~ defined(X1,compose(c,X2))
| ~ product(h,h,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_237225]) ).
tcf(c_290377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(h,d,X2)
| ~ defined(c,X3)
| ~ defined(c,X1)
| ~ product(d,X1,c)
| ~ product(d,X3,X0)
| ~ product(h,h,compose(c,X3))
| ~ product(X0,compose(c,X1),X2) ),
inference(superposition,[status(thm)],[c_239579,c_237221]) ).
tcf(c_290378,plain,
! [X0: $i,X1: $i] :
( defined(d,c)
| ~ defined(c,h)
| ~ defined(X1,X0)
| ~ product(d,h,c)
| ~ product(h,h,X1)
| ~ product(c,d,X0) ),
inference(superposition,[status(thm)],[c_239579,c_237607]) ).
tcf(c_290379,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,c,X2)
| ~ defined(c,h)
| ~ product(d,h,c)
| ~ product(h,h,X0)
| ~ product(c,d,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_237605]) ).
tcf(c_290380,plain,
! [X0: $i] :
( defined(g,d)
| ~ defined(c,X0)
| ~ product(d,X0,c)
| ~ product(h,h,domain(h))
| ~ defined(g,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_255517]) ).
tcf(c_290381,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,c,d)
| ~ defined(c,d)
| ~ product(d,d,c)
| ~ product(h,h,X0)
| ~ product(c,g,X1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_239579,c_238314]) ).
tcf(c_290382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X1,d)
| ~ defined(c,X0)
| ~ defined(X2,d)
| ~ product(d,X0,c)
| ~ product(X2,g,X3)
| ~ product(h,h,compose(X2,d))
| ~ product(c,compose(c,X0),X1) ),
inference(superposition,[status(thm)],[c_239579,c_238315]) ).
tcf(c_290383,plain,
! [X0: $i] :
( defined(d,d)
| ~ defined(c,X0)
| ~ product(d,X0,c)
| ~ product(h,h,domain(c))
| ~ defined(d,compose(c,X0)) ),
inference(superposition,[status(thm)],[c_239579,c_244251]) ).
tcf(c_290384,plain,
! [X0: $i] :
( defined(domain(h),d)
| ~ defined(c,X0)
| ~ product(h,h,a)
| ~ product(d,X0,c) ),
inference(superposition,[status(thm)],[c_239579,c_288397]) ).
tcf(c_290409,plain,
! [X0: $i] :
( product(X0,c,d)
| ~ product(h,h,X0)
| ~ product(d,domain(c),c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290339,c_84]) ).
tcf(c_290797,plain,
( ( compose(g,c) = codomain(g) )
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(superposition,[status(thm)],[c_73,c_282583]) ).
tcf(c_290800,plain,
! [X0: $i] :
( ( codomain(g) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(X0,g) ),
inference(superposition,[status(thm)],[c_288166,c_282583]) ).
tcf(c_290801,plain,
! [X0: $i] :
( ( codomain(g) = X0 )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252415,c_282583]) ).
tcf(c_290803,plain,
! [X0: $i] :
( ( compose(X0,d) = codomain(g) )
| ~ identity_map(d)
| ~ defined(X0,d)
| ~ product(X0,g,g) ),
inference(superposition,[status(thm)],[c_237174,c_282583]) ).
tcf(c_290805,plain,
! [X0: $i] :
( ( compose(d,X0) = codomain(g) )
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252127,c_282583]) ).
tcf(c_290806,plain,
( ( compose(g,d) = codomain(g) )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_269236,c_282583]) ).
tcf(c_290807,plain,
( ( codomain(g) = g )
| ~ identity_map(d)
| ~ identity_map(h)
| ~ defined(g,d) ),
inference(superposition,[status(thm)],[c_271228,c_282583]) ).
tcf(c_290809,plain,
( ( codomain(g) = d )
| ~ identity_map(d)
| ~ defined(g,c) ),
inference(light_normalisation,[status(thm)],[c_290797,c_235154]) ).
tcf(c_291174,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,domain(c))
| ~ defined(compose(d,domain(c)),X0) ),
inference(superposition,[status(thm)],[c_73,c_287009]) ).
tcf(c_291175,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(d)
| ~ defined(d,domain(c))
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_88,c_287009]) ).
tcf(c_291176,plain,
! [X0: $i] :
( defined(c,X0)
| ~ identity_map(domain(c))
| ~ defined(d,X0)
| ~ defined(d,domain(c)) ),
inference(superposition,[status(thm)],[c_89,c_287009]) ).
tcf(c_291178,plain,
! [X0: $i] :
( defined(c,X0)
| ~ defined(d,X0)
| ~ defined(d,domain(c)) ),
inference(light_normalisation,[status(thm)],[c_291174,c_243916]) ).
tcf(c_291190,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_234239]) ).
tcf(c_291191,plain,
! [X0: $i,X1: $i] :
( defined(X1,X0)
| ~ identity_map(X1)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_85,c_234239]) ).
tcf(c_291192,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ identity_map(X2)
| ~ identity_map(X1)
| ~ defined(X0,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_260643,c_234239]) ).
tcf(c_291193,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X2)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234236,c_234239]) ).
tcf(c_291194,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,codomain(X1))
| ~ identity_map(X2)
| ~ defined(X0,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_234320,c_234239]) ).
tcf(c_291195,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,X2)
| ~ identity_map(X1)
| ~ identity_map(X0)
| ~ defined(X0,X2)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_234347,c_234239]) ).
tcf(c_291196,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_234198,c_234239]) ).
tcf(c_291197,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234199,c_234239]) ).
tcf(c_291198,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234200,c_234239]) ).
tcf(c_291199,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_245854,c_234239]) ).
tcf(c_291200,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_245289,c_234239]) ).
tcf(c_291201,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_245344,c_234239]) ).
tcf(c_291202,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234257,c_234239]) ).
tcf(c_291203,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234262,c_234239]) ).
tcf(c_291204,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234263,c_234239]) ).
tcf(c_291205,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246428,c_234239]) ).
tcf(c_291206,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_246445,c_234239]) ).
tcf(c_291207,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_244824,c_234239]) ).
tcf(c_291208,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_234443,c_234239]) ).
tcf(c_291209,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_234442,c_234239]) ).
tcf(c_291210,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244252,c_234239]) ).
tcf(c_291211,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_288510,c_234239]) ).
tcf(c_291212,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_288487,c_234239]) ).
tcf(c_291213,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_248601,c_234239]) ).
tcf(c_291214,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244365,c_234239]) ).
tcf(c_291215,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_288102,c_234239]) ).
tcf(c_291216,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_288070,c_234239]) ).
tcf(c_291217,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_288033,c_234239]) ).
tcf(c_291218,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_287991,c_234239]) ).
tcf(c_291219,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253303,c_234239]) ).
tcf(c_291220,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_239326,c_234239]) ).
tcf(c_291221,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(X1)
| ~ defined(X0,c)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234487,c_234239]) ).
tcf(c_291222,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234468,c_234239]) ).
tcf(c_291223,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_260259,c_234239]) ).
tcf(c_291224,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234489,c_234239]) ).
tcf(c_291225,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X1)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234469,c_234239]) ).
tcf(c_291226,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_237947,c_234239]) ).
tcf(c_291227,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_234477,c_234239]) ).
tcf(c_291228,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_248568,c_234239]) ).
tcf(c_291229,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_234488,c_234239]) ).
tcf(c_291230,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234745,c_234239]) ).
tcf(c_291231,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(X0)
| ~ defined(c,X1)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_234510,c_234239]) ).
tcf(c_291232,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(X1)
| ~ defined(c,X1)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_261281,c_234239]) ).
tcf(c_291233,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_234511,c_234239]) ).
tcf(c_291234,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(c,X1))
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260614,c_234239]) ).
tcf(c_291235,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(c,X0))
| ~ identity_map(X1)
| ~ defined(h,X1)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_243305,c_234239]) ).
tcf(c_291236,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244253,c_234239]) ).
tcf(c_291237,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(c,X0))
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260623,c_234239]) ).
tcf(c_291238,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(c,X0))
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_250689,c_234239]) ).
tcf(c_291239,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_246442,c_234239]) ).
tcf(c_291240,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246432,c_234239]) ).
tcf(c_291241,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_246283,c_234239]) ).
tcf(c_291242,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_244819,c_234239]) ).
tcf(c_291243,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246281,c_234239]) ).
tcf(c_291244,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_244815,c_234239]) ).
tcf(c_291245,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_246378,c_234239]) ).
tcf(c_291246,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_246379,c_234239]) ).
tcf(c_291247,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,h),X1) ),
inference(superposition,[status(thm)],[c_280198,c_234239]) ).
tcf(c_291248,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(compose(X0,h),X1) ),
inference(superposition,[status(thm)],[c_267069,c_234239]) ).
tcf(c_291249,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_246238,c_234239]) ).
tcf(c_291250,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_287788,c_234239]) ).
tcf(c_291251,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_287787,c_234239]) ).
tcf(c_291252,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_287786,c_234239]) ).
tcf(c_291253,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_287785,c_234239]) ).
tcf(c_291254,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253301,c_234239]) ).
tcf(c_291255,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_272723,c_234239]) ).
tcf(c_291256,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_270455,c_234239]) ).
tcf(c_291257,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_269120,c_234239]) ).
tcf(c_291258,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_269091,c_234239]) ).
tcf(c_291259,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253834,c_234239]) ).
tcf(c_291260,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253700,c_234239]) ).
tcf(c_291261,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253163,c_234239]) ).
tcf(c_291262,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_287796,c_234239]) ).
tcf(c_291263,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_287795,c_234239]) ).
tcf(c_291264,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_248599,c_234239]) ).
tcf(c_291265,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244366,c_234239]) ).
tcf(c_291266,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_273063,c_234239]) ).
tcf(c_291267,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_268484,c_234239]) ).
tcf(c_291268,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_268450,c_234239]) ).
tcf(c_291269,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_258812,c_234239]) ).
tcf(c_291270,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_246619,c_234239]) ).
tcf(c_291271,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_246629,c_234239]) ).
tcf(c_291272,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(X1)
| ~ defined(X0,a)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_243882,c_234239]) ).
tcf(c_291273,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(h)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_239384,c_234239]) ).
tcf(c_291274,plain,
! [X0: $i,X1: $i] :
( defined(X1,d)
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_258809,c_234239]) ).
tcf(c_291275,plain,
! [X0: $i,X1: $i] :
( defined(X1,d)
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_246617,c_234239]) ).
tcf(c_291276,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(compose(X0,g),X1) ),
inference(superposition,[status(thm)],[c_280210,c_234239]) ).
tcf(c_291277,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258357,c_234239]) ).
tcf(c_291278,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235633,c_234239]) ).
tcf(c_291279,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(c,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235638,c_234239]) ).
tcf(c_291280,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235637,c_234239]) ).
tcf(c_291281,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(b,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235634,c_234239]) ).
tcf(c_291282,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235635,c_234239]) ).
tcf(c_291283,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235636,c_234239]) ).
tcf(c_291284,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253500,c_234239]) ).
tcf(c_291285,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_288468,c_234239]) ).
tcf(c_291286,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_288449,c_234239]) ).
tcf(c_291287,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253233,c_234239]) ).
tcf(c_291288,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253509,c_234239]) ).
tcf(c_291289,plain,
! [X0: $i,X1: $i] :
( defined(X0,codomain(X1))
| ~ identity_map(X0)
| ~ defined(g,X1)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260764,c_234239]) ).
tcf(c_291290,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(a)
| ~ identity_map(X1)
| ~ defined(h,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236959,c_234239]) ).
tcf(c_291291,plain,
! [X0: $i,X1: $i] :
( defined(X1,h)
| ~ identity_map(X1)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_237761,c_234239]) ).
tcf(c_291292,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_263632,c_234239]) ).
tcf(c_291293,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_263623,c_234239]) ).
tcf(c_291294,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_244912,c_234239]) ).
tcf(c_291295,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_236171,c_234239]) ).
tcf(c_291296,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_235264,c_234239]) ).
tcf(c_291297,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_249110,c_234239]) ).
tcf(c_291298,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_249102,c_234239]) ).
tcf(c_291299,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_248609,c_234239]) ).
tcf(c_291300,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_236172,c_234239]) ).
tcf(c_291301,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_235265,c_234239]) ).
tcf(c_291302,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(d,b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_277178,c_234239]) ).
tcf(c_291303,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(b,b)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_277149,c_234239]) ).
tcf(c_291304,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(g,b)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_277150,c_234239]) ).
tcf(c_291305,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_236958,c_234239]) ).
tcf(c_291306,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_255819,c_234239]) ).
tcf(c_291307,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(a)
| ~ identity_map(X1)
| ~ defined(g,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_237028,c_234239]) ).
tcf(c_291308,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(c,b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_277179,c_234239]) ).
tcf(c_291309,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(d,b)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_277177,c_234239]) ).
tcf(c_291310,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_246270,c_234239]) ).
tcf(c_291311,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_244933,c_234239]) ).
tcf(c_291312,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236783,c_234239]) ).
tcf(c_291313,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236264,c_234239]) ).
tcf(c_291314,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235653,c_234239]) ).
tcf(c_291315,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_246278,c_234239]) ).
tcf(c_291316,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(h,X1)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258645,c_234239]) ).
tcf(c_291317,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258558,c_234239]) ).
tcf(c_291318,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_248999,c_234239]) ).
tcf(c_291319,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236861,c_234239]) ).
tcf(c_291320,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_236300,c_234239]) ).
tcf(c_291321,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_235654,c_234239]) ).
tcf(c_291322,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258567,c_234239]) ).
tcf(c_291323,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(X1)
| ~ identity_map(X0)
| ~ defined(X0,c)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_237759,c_234239]) ).
tcf(c_291324,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(X0))
| ~ identity_map(X1)
| ~ defined(domain(X0),X1) ),
inference(superposition,[status(thm)],[c_236024,c_234239]) ).
tcf(c_291325,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(X1)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_236053,c_234239]) ).
tcf(c_291326,plain,
! [X0: $i,X1: $i] :
( defined(X1,g)
| ~ identity_map(X1)
| ~ identity_map(X0)
| ~ defined(X0,d)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_237760,c_234239]) ).
tcf(c_291327,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_267687,c_234239]) ).
tcf(c_291328,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_263624,c_234239]) ).
tcf(c_291329,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261297,c_234239]) ).
tcf(c_291330,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_244908,c_234239]) ).
tcf(c_291331,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_235495,c_234239]) ).
tcf(c_291332,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261299,c_234239]) ).
tcf(c_291333,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261298,c_234239]) ).
tcf(c_291334,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_249103,c_234239]) ).
tcf(c_291335,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_248613,c_234239]) ).
tcf(c_291336,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_235496,c_234239]) ).
tcf(c_291337,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(h,g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_267695,c_234239]) ).
tcf(c_291338,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255829,c_234239]) ).
tcf(c_291339,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_237034,c_234239]) ).
tcf(c_291340,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_264421,c_234239]) ).
tcf(c_291341,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260381,c_234239]) ).
tcf(c_291342,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_236965,c_234239]) ).
tcf(c_291343,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255831,c_234239]) ).
tcf(c_291344,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(h,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255830,c_234239]) ).
tcf(c_291345,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_237035,c_234239]) ).
tcf(c_291346,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_260385,c_234239]) ).
tcf(c_291347,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_257995,c_234239]) ).
tcf(c_291348,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,d)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_236966,c_234239]) ).
tcf(c_291349,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_263636,c_234239]) ).
tcf(c_291350,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(h))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_236325,c_234239]) ).
tcf(c_291351,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_249114,c_234239]) ).
tcf(c_291352,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(g))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_236326,c_234239]) ).
tcf(c_291353,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(c,b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_277155,c_234239]) ).
tcf(c_291354,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(b,b)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_277148,c_234239]) ).
tcf(c_291355,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_261377,c_234239]) ).
tcf(c_291356,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(X0))
| ~ identity_map(X1)
| ~ defined(d,X1)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_244553,c_234239]) ).
tcf(c_291357,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_246438,c_234239]) ).
tcf(c_291358,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_246282,c_234239]) ).
tcf(c_291359,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_236960,c_234239]) ).
tcf(c_291360,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(X0)
| ~ defined(h,b)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_277152,c_234239]) ).
tcf(c_291361,plain,
! [X0: $i] :
( defined(X0,domain(a))
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_237027,c_234239]) ).
tcf(c_291362,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_237029,c_234239]) ).
tcf(c_291363,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_252538,c_234239]) ).
tcf(c_291364,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ identity_map(X1)
| ~ defined(X0,X1)
| ~ defined(domain(X0),d) ),
inference(superposition,[status(thm)],[c_237655,c_234239]) ).
tcf(c_291365,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),g))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_237509,c_234239]) ).
tcf(c_291366,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237512,c_234239]) ).
tcf(c_291367,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237530,c_234239]) ).
tcf(c_291368,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X1)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_237570,c_234239]) ).
tcf(c_291369,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_263604,c_234239]) ).
tcf(c_291370,plain,
! [X0: $i,X1: $i] :
( defined(X1,codomain(d))
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_249084,c_234239]) ).
tcf(c_291371,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_238093,c_234239]) ).
tcf(c_291372,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(d)
| ~ identity_map(b)
| ~ identity_map(X0)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_248963,c_234239]) ).
tcf(c_291373,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(h,d)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255835,c_234239]) ).
tcf(c_291374,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_254218,c_234239]) ).
tcf(c_291375,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_252850,c_234239]) ).
tcf(c_291376,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_250232,c_234239]) ).
tcf(c_291377,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237667,c_234239]) ).
tcf(c_291378,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(b,X0)
| ~ defined(domain(c),d) ),
inference(superposition,[status(thm)],[c_237663,c_234239]) ).
tcf(c_291379,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_237658,c_234239]) ).
tcf(c_291380,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_237656,c_234239]) ).
tcf(c_291381,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_253629,c_234239]) ).
tcf(c_291382,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_249403,c_234239]) ).
tcf(c_291383,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(c,X0)
| ~ defined(domain(d),d) ),
inference(superposition,[status(thm)],[c_237666,c_234239]) ).
tcf(c_291384,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_237659,c_234239]) ).
tcf(c_291385,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_287794,c_234239]) ).
tcf(c_291386,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_287791,c_234239]) ).
tcf(c_291387,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(d)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253231,c_234239]) ).
tcf(c_291388,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253510,c_234239]) ).
tcf(c_291389,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_270488,c_234239]) ).
tcf(c_291390,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_258820,c_234239]) ).
tcf(c_291391,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253386,c_234239]) ).
tcf(c_291392,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253366,c_234239]) ).
tcf(c_291393,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253346,c_234239]) ).
tcf(c_291394,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253143,c_234239]) ).
tcf(c_291395,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ identity_map(X1)
| ~ defined(X0,a)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_255131,c_234239]) ).
tcf(c_291396,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(h))
| ~ identity_map(X1)
| ~ defined(X0,c)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_254789,c_234239]) ).
tcf(c_291397,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,d))
| ~ identity_map(X1)
| ~ defined(d,c)
| ~ defined(g,X1)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238324,c_234239]) ).
tcf(c_291398,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,d))
| ~ identity_map(X1)
| ~ defined(d,c)
| ~ defined(h,X1)
| ~ defined(X0,d)
| ~ product(X0,g,c) ),
inference(superposition,[status(thm)],[c_238325,c_234239]) ).
tcf(c_291399,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(b,X1))
| ~ identity_map(X0)
| ~ defined(c,X1)
| ~ defined(a,X0) ),
inference(superposition,[status(thm)],[c_282803,c_234239]) ).
tcf(c_291400,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_260636,c_234239]) ).
tcf(c_291401,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(X0,d))
| ~ identity_map(X1)
| ~ defined(c,c)
| ~ defined(a,X1)
| ~ defined(X0,d)
| ~ product(X0,g,b) ),
inference(superposition,[status(thm)],[c_239181,c_234239]) ).
tcf(c_291402,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254754,c_234239]) ).
tcf(c_291403,plain,
! [X0: $i,X1: $i] :
( defined(X1,b)
| ~ identity_map(X1)
| ~ defined(X0,c)
| ~ defined(compose(X0,a),X1) ),
inference(superposition,[status(thm)],[c_283681,c_234239]) ).
tcf(c_291404,plain,
! [X0: $i] :
( defined(X0,b)
| ~ identity_map(X0)
| ~ defined(domain(a),X0) ),
inference(superposition,[status(thm)],[c_277181,c_234239]) ).
tcf(c_291405,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_246276,c_234239]) ).
tcf(c_291406,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(h)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258565,c_234239]) ).
tcf(c_291407,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261407,c_234239]) ).
tcf(c_291408,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261406,c_234239]) ).
tcf(c_291409,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_255103,c_234239]) ).
tcf(c_291410,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_254749,c_234239]) ).
tcf(c_291411,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244823,c_234239]) ).
tcf(c_291412,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_246377,c_234239]) ).
tcf(c_291413,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(X0)
| ~ defined(g,X1)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255418,c_234239]) ).
tcf(c_291414,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X1)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254948,c_234239]) ).
tcf(c_291415,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(c,a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_255127,c_234239]) ).
tcf(c_291416,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_255125,c_234239]) ).
tcf(c_291417,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_254792,c_234239]) ).
tcf(c_291418,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(c,c)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_254790,c_234239]) ).
tcf(c_291419,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(b,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261311,c_234239]) ).
tcf(c_291420,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(b,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261310,c_234239]) ).
tcf(c_291421,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(d,a)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_255126,c_234239]) ).
tcf(c_291422,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(d,c)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_254791,c_234239]) ).
tcf(c_291423,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_254775,c_234239]) ).
tcf(c_291424,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_254944,c_234239]) ).
tcf(c_291425,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260774,c_234239]) ).
tcf(c_291426,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255414,c_234239]) ).
tcf(c_291427,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(g,d)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255415,c_234239]) ).
tcf(c_291428,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255393,c_234239]) ).
tcf(c_291429,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(compose(X0,X1)))
| ~ identity_map(X2)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_257269,c_234239]) ).
tcf(c_291430,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_260775,c_234239]) ).
tcf(c_291431,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(domain(h),X0) ),
inference(superposition,[status(thm)],[c_255394,c_234239]) ).
tcf(c_291432,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(compose(codomain(d),g),X0) ),
inference(superposition,[status(thm)],[c_255990,c_234239]) ).
tcf(c_291433,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(a))
| ~ identity_map(X1)
| ~ defined(X0,b)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_277183,c_234239]) ).
tcf(c_291434,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,X0)
| ~ identity_map(X2)
| ~ defined(X0,X1)
| ~ defined(codomain(compose(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_259762,c_234239]) ).
tcf(c_291435,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_263618,c_234239]) ).
tcf(c_291436,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_263613,c_234239]) ).
tcf(c_291437,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_249099,c_234239]) ).
tcf(c_291438,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_249095,c_234239]) ).
tcf(c_291439,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_248607,c_234239]) ).
tcf(c_291440,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_266621,c_234239]) ).
tcf(c_291441,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_263617,c_234239]) ).
tcf(c_291442,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_261304,c_234239]) ).
tcf(c_291443,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_249098,c_234239]) ).
tcf(c_291444,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_248596,c_234239]) ).
tcf(c_291445,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260595,c_234239]) ).
tcf(c_291446,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X1,compose(X0,X2))
| ~ identity_map(X1)
| ~ defined(X0,X2)
| ~ defined(codomain(X0),X1) ),
inference(superposition,[status(thm)],[c_258358,c_234239]) ).
tcf(c_291447,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_258371,c_234239]) ).
tcf(c_291448,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_285756,c_234239]) ).
tcf(c_291449,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(d),g)),X0) ),
inference(superposition,[status(thm)],[c_258375,c_234239]) ).
tcf(c_291450,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_246279,c_234239]) ).
tcf(c_291451,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258569,c_234239]) ).
tcf(c_291452,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_252732,c_234239]) ).
tcf(c_291453,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244567,c_234239]) ).
tcf(c_291454,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_249490,c_234239]) ).
tcf(c_291455,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(d),g)),X0) ),
inference(superposition,[status(thm)],[c_258723,c_234239]) ).
tcf(c_291456,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(d),g)),X0) ),
inference(superposition,[status(thm)],[c_258724,c_234239]) ).
tcf(c_291457,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_260572,c_234239]) ).
tcf(c_291458,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_261518,c_234239]) ).
tcf(c_291459,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(h,g)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_266629,c_234239]) ).
tcf(c_291460,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(h,h)
| ~ defined(g,X0) ),
inference(superposition,[status(thm)],[c_255836,c_234239]) ).
tcf(c_291461,plain,
! [X0: $i,X1: $i,X2: $i] :
( defined(X2,domain(X1))
| ~ identity_map(X2)
| ~ defined(X0,X1)
| ~ defined(compose(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_260639,c_234239]) ).
tcf(c_291462,plain,
! [X0: $i,X1: $i] :
( defined(X1,domain(c))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,d),X1) ),
inference(superposition,[status(thm)],[c_284551,c_234239]) ).
tcf(c_291463,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_257420,c_234239]) ).
tcf(c_291464,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_267686,c_234239]) ).
tcf(c_291465,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_263630,c_234239]) ).
tcf(c_291466,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261393,c_234239]) ).
tcf(c_291467,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244564,c_234239]) ).
tcf(c_291468,plain,
! [X0: $i] :
( defined(X0,codomain(h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244932,c_234239]) ).
tcf(c_291469,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261395,c_234239]) ).
tcf(c_291470,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261394,c_234239]) ).
tcf(c_291471,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_249662,c_234239]) ).
tcf(c_291472,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_248726,c_234239]) ).
tcf(c_291473,plain,
! [X0: $i] :
( defined(X0,codomain(g))
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_244565,c_234239]) ).
tcf(c_291474,plain,
! [X0: $i] :
( defined(X0,domain(b))
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_260690,c_234239]) ).
tcf(c_291475,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_270559,c_234239]) ).
tcf(c_291476,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_264799,c_234239]) ).
tcf(c_291477,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_264775,c_234239]) ).
tcf(c_291478,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_260262,c_234239]) ).
tcf(c_291479,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244373,c_234239]) ).
tcf(c_291480,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244827,c_234239]) ).
tcf(c_291481,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_273062,c_234239]) ).
tcf(c_291482,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_268483,c_234239]) ).
tcf(c_291483,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_268449,c_234239]) ).
tcf(c_291484,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_248570,c_234239]) ).
tcf(c_291485,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_248581,c_234239]) ).
tcf(c_291486,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(domain(c),X0) ),
inference(superposition,[status(thm)],[c_244372,c_234239]) ).
tcf(c_291487,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(g,g)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_264426,c_234239]) ).
tcf(c_291488,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(g,h)
| ~ defined(h,X0) ),
inference(superposition,[status(thm)],[c_258040,c_234239]) ).
tcf(c_291489,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_258373,c_234239]) ).
tcf(c_291490,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_266620,c_234239]) ).
tcf(c_291491,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_263610,c_234239]) ).
tcf(c_291492,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_261400,c_234239]) ).
tcf(c_291493,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_249092,c_234239]) ).
tcf(c_291494,plain,
! [X0: $i] :
( defined(X0,codomain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_248604,c_234239]) ).
tcf(c_291495,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_270556,c_234239]) ).
tcf(c_291496,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_267028,c_234239]) ).
tcf(c_291497,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_265889,c_234239]) ).
tcf(c_291498,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_265845,c_234239]) ).
tcf(c_291499,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253011,c_234239]) ).
tcf(c_291500,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253010,c_234239]) ).
tcf(c_291501,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253012,c_234239]) ).
tcf(c_291502,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_267030,c_234239]) ).
tcf(c_291503,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(d,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_260270,c_234239]) ).
tcf(c_291504,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_252997,c_234239]) ).
tcf(c_291505,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_252996,c_234239]) ).
tcf(c_291506,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_252989,c_234239]) ).
tcf(c_291507,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_252995,c_234239]) ).
tcf(c_291508,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_272722,c_234239]) ).
tcf(c_291509,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_270454,c_234239]) ).
tcf(c_291510,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_269119,c_234239]) ).
tcf(c_291511,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(b,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_269090,c_234239]) ).
tcf(c_291512,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253833,c_234239]) ).
tcf(c_291513,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253699,c_234239]) ).
tcf(c_291514,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(d),X0) ),
inference(superposition,[status(thm)],[c_253162,c_234239]) ).
tcf(c_291515,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,g)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_270487,c_234239]) ).
tcf(c_291516,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(d,d)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253516,c_234239]) ).
tcf(c_291517,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,d)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253385,c_234239]) ).
tcf(c_291518,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(c,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253365,c_234239]) ).
tcf(c_291519,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(d,h)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253345,c_234239]) ).
tcf(c_291520,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(domain(b),X0) ),
inference(superposition,[status(thm)],[c_253142,c_234239]) ).
tcf(c_291521,plain,
! [X0: $i] :
( defined(X0,domain(c))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_263142,c_234239]) ).
tcf(c_291522,plain,
! [X0: $i,X1: $i] :
( defined(X0,compose(d,X1))
| ~ identity_map(X0)
| ~ defined(d,X1)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_289826,c_234239]) ).
tcf(c_291523,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(g),X0) ),
inference(superposition,[status(thm)],[c_266094,c_234239]) ).
tcf(c_291524,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_268528,c_234239]) ).
tcf(c_291525,plain,
! [X0: $i] :
( defined(X0,domain(d))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(codomain(h),X0) ),
inference(superposition,[status(thm)],[c_265544,c_234239]) ).
tcf(c_291526,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(d),h))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_264825,c_234239]) ).
tcf(c_291527,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_265009,c_234239]) ).
tcf(c_291528,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_265006,c_234239]) ).
tcf(c_291529,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_265003,c_234239]) ).
tcf(c_291530,plain,
! [X0: $i] :
( defined(X0,compose(codomain(d),h))
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_264968,c_234239]) ).
tcf(c_291531,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(compose(X0,h),X1) ),
inference(superposition,[status(thm)],[c_280207,c_234239]) ).
tcf(c_291532,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(X1)
| ~ defined(X0,h)
| ~ defined(compose(X0,h),X1) ),
inference(superposition,[status(thm)],[c_267078,c_234239]) ).
tcf(c_291533,plain,
! [X0: $i] :
( defined(X0,d)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(h),g)),X0) ),
inference(superposition,[status(thm)],[c_280320,c_234239]) ).
tcf(c_291534,plain,
! [X0: $i,X1: $i] :
( defined(X1,compose(codomain(h),g))
| ~ identity_map(X1)
| ~ defined(X0,d)
| ~ defined(X0,X1) ),
inference(superposition,[status(thm)],[c_280327,c_234239]) ).
tcf(c_291535,plain,
! [X0: $i] :
( defined(X0,c)
| ~ identity_map(X0)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280330,c_234239]) ).
tcf(c_291536,plain,
! [X0: $i] :
( defined(X0,a)
| ~ identity_map(X0)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_280468,c_234239]) ).
tcf(c_291537,plain,
! [X0: $i,X1: $i] :
( defined(X0,X1)
| ~ identity_map(a)
| ~ identity_map(X0)
| ~ defined(a,X1)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_281104,c_234239]) ).
tcf(c_291538,plain,
! [X0: $i] :
( defined(X0,domain(h))
| ~ identity_map(X0)
| ~ defined(compose(codomain(h),g),X0) ),
inference(superposition,[status(thm)],[c_281660,c_234239]) ).
tcf(c_291539,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(d,X0) ),
inference(superposition,[status(thm)],[c_280675,c_234239]) ).
tcf(c_291540,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(c,X0) ),
inference(superposition,[status(thm)],[c_280672,c_234239]) ).
tcf(c_291541,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ identity_map(d)
| ~ identity_map(X0)
| ~ defined(b,X0) ),
inference(superposition,[status(thm)],[c_280669,c_234239]) ).
tcf(c_291542,plain,
! [X0: $i] :
( defined(X0,compose(codomain(h),g))
| ~ identity_map(X0)
| ~ defined(codomain(d),X0) ),
inference(superposition,[status(thm)],[c_280631,c_234239]) ).
tcf(c_291543,plain,
! [X0: $i] :
( defined(X0,g)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(h),g)),X0) ),
inference(superposition,[status(thm)],[c_281123,c_234239]) ).
tcf(c_291544,plain,
! [X0: $i] :
( defined(X0,h)
| ~ identity_map(X0)
| ~ defined(codomain(compose(codomain(h),g)),X0) ),
inference(superposition,[status(thm)],[c_281124,c_234239]) ).
tcf(c_291545,plain,
! [X0: $i,X1: $i] :
( defined(X1,a)
| ~ identity_map(X1)
| ~ defined(X0,g)
| ~ defined(compose(X0,g),X1) ),
inference(superposition,[status(thm)],[c_280219,c_234239]) ).
tcf(c_291546,plain,
! [X0: $i,X1: $i] :
( defined(X1,c)
| ~ identity_map(X1)
| ~ defined(X0,domain(h))
| ~ defined(compose(X0,domain(h)),X1) ),
inference(superposition,[status(thm)],[c_287645,c_234239]) ).
tcf(c_295152,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_291546,c_291515,c_291509,c_291508,c_291506,c_291500,c_291498,c_291481,c_291477,c_291391,c_291387,c_291385,c_291287,c_291286,c_291267,c_291263,c_291259,c_291257,c_291254,c_291253,c_291250,c_291219,c_291217,c_291216,c_291211,c_291178,c_291176,c_290809,c_290797,c_290356,c_290321,c_290259,c_290255,c_290254,c_290222,c_290216,c_289976,c_289974,c_289973,c_289972,c_289971,c_289970,c_289389,c_289366,c_289102,c_289076,c_289073,c_289055,c_289046,c_289031,c_288976,c_288890,c_288878,c_288860,c_288767,c_288622,c_288357,c_288314,c_288303,c_288177,c_288109,c_288108,c_288107,c_288106,c_288105,c_288104,c_288103,c_288100,c_287998,c_287997,c_287996,c_287994,c_287993,c_287992,c_287989,c_287845,c_287803,c_287800,c_287782,c_287773,c_287762,c_287695,c_287649,c_287645,c_287638,c_287263,c_287235,c_287176,c_287108,c_286904,c_286891,c_286046,c_286033,c_285894,c_285871,c_285725,c_283619,c_283159,c_283158,c_283157,c_283156,c_283134,c_283133,c_283132,c_283189,c_283124,c_283123,c_283122,c_283121,c_283115,c_283114,c_283112,c_283111,c_282680,c_282679,c_282678,c_282677,c_282656,c_282654,c_282647,c_282645,c_282643,c_282636,c_282635,c_282633,c_282632,c_281959,c_281958,c_280279,c_280223,c_280056,c_279722,c_278827,c_277054,c_275832,c_275735,c_274827,c_273414,c_273120,c_272594,c_272435,c_272055,c_271865,c_271020,c_270658,c_270656,c_269087,c_268452,c_268446,c_268137,c_266672,c_266660,c_266540,c_266539,c_266538,c_266536,c_266530,c_266527,c_266521,c_266520,c_266518,c_265847,c_264657,c_264648,c_264647,c_264642,c_264638,c_264636,c_264363,c_264359,c_264227,c_263496,c_263046,c_263040,c_262983,c_260885,c_260786,c_260785,c_260550,c_260549,c_260511,c_259674,c_259568,c_255649,c_255648,c_254694,c_254693,c_254692,c_254688,c_254687,c_254685,c_254683,c_254679,c_254678,c_254677,c_254676,c_254675,c_254672,c_254613,c_254569,c_254493,c_254246,c_254225,c_254221,c_254197,c_254191,c_254190,c_253992,c_253979,c_253696,c_253636,c_253632,c_253608,c_253602,c_253601,c_253531,c_253530,c_253362,c_253342,c_252998,c_252994,c_252993,c_252992,c_252991,c_252987,c_252986,c_252985,c_252984,c_252982,c_252981,c_252857,c_252853,c_252833,c_252827,c_252826,c_252739,c_252735,c_252715,c_252710,c_252709,c_252708,c_252545,c_252541,c_252513,c_252507,c_252506,c_252329,c_252264,c_252048,c_252010,c_251947,c_251946,c_251945,c_251944,c_251943,c_251942,c_251940,c_251939,c_251937,c_251935,c_251934,c_251932,c_251930,c_251698,c_251697,c_251696,c_251629,c_251628,c_251624,c_251623,c_251622,c_251621,c_251615,c_251614,c_251612,c_251611,c_251604,c_251066,c_251043,c_250773,c_250501,c_250499,c_250276,c_250217,c_250212,c_250211,c_249868,c_249866,c_249476,c_249472,c_249471,c_249470,c_249389,c_249384,c_249383,c_248411,c_246136,c_246135,c_245962,c_245838,c_245837,c_245836,c_245834,c_245833,c_245832,c_245530,c_245328,c_245327,c_245326,c_245324,c_245323,c_245322,c_245272,c_245271,c_245269,c_245268,c_245267,c_244557,c_244556,c_244438,c_244437,c_243339,c_243338,c_242588,c_242587,c_242586,c_242585,c_242324,c_242323,c_242322,c_242321,c_242040,c_242038,c_241662,c_241660,c_241624,c_241615,c_240586,c_240585,c_240584,c_240583,c_240441,c_240440,c_240439,c_240435,c_240433,c_239543,c_239542,c_239541,c_239537,c_239535,c_235878,c_235876,c_235772,c_235770,c_235500,c_287111,c_264574,c_286869,c_291452,c_287179,c_245831,c_245829,c_245321,c_245319,c_274890,c_266670,c_254743,c_266321,c_266658,c_254744,c_288336,c_288334,c_288333,c_266680,c_287674,c_287672,c_287671,c_266662,c_254778,c_254777,c_254739,c_254776,c_254741,c_271876,c_287669,c_288319,c_288331,c_287656,c_253603,c_254192,c_252828,c_249864,c_250497,c_249863,c_250496,c_252508,c_249862,c_250495,c_248505,c_248485,c_254133,c_254129,c_248431,c_248330,c_248263,c_246137,c_253556,c_253520,c_244679,c_244670,c_253559,c_253511,c_244413,c_244367,c_250718,c_282626,c_249385,c_258238,c_272593,c_254647,c_190332,c_250213,c_245266,c_245264,c_243907,c_252578,c_252569,c_245466,c_245460,c_287668,c_287841,c_287835,c_287802,c_287801,c_287781,c_287780,c_287779,c_287778,c_287777,c_287776,c_287775,c_287774,c_287771,c_288330,c_289098,c_289092,c_289075,c_289074,c_289054,c_289053,c_289052,c_289051,c_289050,c_289049,c_289048,c_289047,c_289044,c_239539,c_249869,c_239521,c_239520,c_250502,c_239519,c_239515,c_239513,c_239495,c_239494,c_240437,c_249867,c_240419,c_240418,c_250500,c_240417,c_240413,c_240411,c_253004,c_283140,c_289359,c_283622,c_283621,c_270558,c_265891,c_289032,c_289358,c_240404,c_240403,c_289072,c_287799,c_283172,c_260887,c_288074,c_291251,c_288817,c_287788,c_288809,c_291215,c_291252,c_287785,c_288532,c_291218,c_288042,c_288040,c_288035,c_288036,c_288034,c_291262,c_288543,c_288538,c_288539,c_288537,c_287795,c_288936,c_291212,c_288078,c_288076,c_291386,c_287794,c_288913,c_291285,c_291388,c_254128,c_254125,c_291288,c_258239,c_254347,c_291260,c_271951,c_291258,c_272617,c_272610,c_291256,c_273136,c_291255,c_258258,c_254475,c_291512,c_291510,c_258259,c_253010,c_254329,c_291513,c_265845,c_291511,c_254648,c_253834,c_253830,c_291499,c_269120,c_269116,c_291497,c_267031,c_270454,c_270451,c_291496,c_272722,c_272719,c_291495,c_271187,c_272436,c_271174,c_291268,c_273148,c_273432,c_273425,c_291266,c_253920,c_291392,c_253874,c_291393,c_272621,c_272691,c_291389,c_263907,c_291390,c_288775,c_288114,c_272613,c_272614,c_254350,c_254351,c_254352,c_254353,c_254499,c_254498,c_254497,c_254496,c_287787,c_288770,c_288102,c_288812,c_273139,c_273140,c_271954,c_271955,c_272059,c_272058,c_287786,c_288625,c_287991,c_288535,c_271219,c_291482,c_268456,c_271167,c_271161,c_264775,c_291483,c_268496,c_268486,c_268484,c_268480,c_291476,c_272732,c_272729,c_273066,c_273062,c_273059,c_291475,c_254296,c_291516,c_253967,c_291517,c_252988,c_253862,c_291519,c_253702,c_252989,c_253908,c_291518,c_253682,c_253678,c_291504,c_253845,c_253386,c_253382,c_291505,c_263912,c_264315,c_291503,c_270465,c_270460,c_270487,c_270484,c_291502,c_288627,c_288629,c_288628,c_288004,c_273428,c_273429,c_271177,c_271178,c_271869,c_271868,c_287796,c_288979,c_288487,c_288939,c_272694,c_272695,c_253923,c_253924,c_253925,c_253926,c_253985,c_253984,c_253983,c_253982,c_287791,c_288893,c_288468,c_288916,c_275165,c_276412,c_259770,c_263910,c_263911,c_253877,c_253878,c_253879,c_253880,c_253515,c_253514,c_253513,c_253512,c_253510,c_276922,c_253509,c_276923,c_253506,c_291284,c_253227,c_291394,c_253187,c_291520,c_249865,c_253230,c_253231,c_253232,c_253233,c_253139,c_291507,c_254147,c_288510,c_288033,c_288070,c_271143,c_260930,c_283166,c_283169,c_287667,c_288329,c_253700,c_269091,c_270455,c_272723,c_253833,c_269119,c_253699,c_269090,c_253011,c_265889,c_267028,c_270556,c_283160,c_260717,c_268450,c_273063,c_253143,c_253366,c_253346,c_270488,c_258820,c_283148,c_283146,c_283147,c_253007,c_260928,c_271141,c_268483,c_268449,c_264799,c_270559,c_283139,c_283138,c_284425,c_253003,c_253002,c_280296,c_253516,c_253385,c_253142,c_253345,c_253365,c_252997,c_252996,c_252995,c_260270,c_267030,c_253500,c_290409,c_290384,c_290383,c_290382,c_290381,c_290380,c_290379,c_290378,c_290377,c_290376,c_290375,c_290374,c_290373,c_290372,c_290369,c_290368,c_290365,c_290364,c_290363,c_290362,c_290361,c_290360,c_290359,c_290358,c_290355,c_290357,c_290354,c_290353,c_290352,c_290351,c_290349,c_290350,c_290348,c_290347,c_290346,c_290345,c_290344,c_290342,c_290341,c_290343,c_290340,c_290339,c_289483,c_289461,c_289460,c_289459,c_289457,c_289456,c_289455,c_289453,c_289451,c_289450,c_289449,c_289448,c_289447,c_289446,c_289445,c_289835,c_289444,c_289443,c_289440,c_289439,c_289438,c_289436,c_289433,c_289432,c_289431,c_289430,c_289428,c_289429,c_289427,c_289426,c_289425,c_289424,c_289423,c_289421,c_289420,c_289422,c_289419,c_289418,c_250498,c_259046,c_289140,c_289136,c_289132,c_289127,c_289126,c_289125,c_289124,c_289123,c_289122,c_291401,c_289121,c_289120,c_289119,c_243912,c_243913,c_243910,c_243909,c_243908,c_288190,c_288189,c_290800,c_288187,c_288185,c_288186,c_288184,c_288183,c_288182,c_288181,c_288180,c_288178,c_288179,c_288176,c_288166,c_287273,c_287268,c_287267,c_287265,c_287262,c_287260,c_287261,c_287259,c_287258,c_287257,c_287256,c_287255,c_287253,c_287254,c_287251,c_287242,c_285893,c_285891,c_285892,c_285890,c_285889,c_285888,c_285887,c_285886,c_285884,c_285885,c_285882,c_285873,c_243911,c_253579,c_253281,c_291514,c_253297,c_291261,c_285738,c_285736,c_253300,c_253301,c_253302,c_253303,c_253159,c_291501,c_253162,c_253163,c_253012,c_288449,c_291545,c_291544,c_291543,c_291542,c_291541,c_291540,c_291539,c_291538,c_291537,c_291536,c_291535,c_291534,c_291533,c_291532,c_291531,c_291530,c_291529,c_291528,c_291527,c_291526,c_291525,c_291524,c_291523,c_291522,c_291521,c_291494,c_291493,c_291492,c_291491,c_291490,c_291489,c_291488,c_291487,c_291485,c_291486,c_291484,c_291480,c_291479,c_291478,c_291472,c_291473,c_291469,c_291471,c_291470,c_291468,c_291467,c_291466,c_291465,c_291464,c_291463,c_291462,c_291460,c_291459,c_291458,c_291457,c_291454,c_291453,c_291448,c_291447,c_291445,c_291444,c_291443,c_291441,c_291442,c_291440,c_291439,c_291438,c_291437,c_291436,c_291435,c_291433,c_291432,c_291431,c_291430,c_291427,c_291428,c_291426,c_291425,c_291424,c_291423,c_291422,c_291421,c_291420,c_291419,c_291418,c_291417,c_291416,c_291415,c_291414,c_291413,c_291412,c_291411,c_291409,c_291410,c_291408,c_291407,c_291406,c_291405,c_291404,c_291403,c_291402,c_291399,c_291398,c_291397,c_291396,c_291395,c_291384,c_291383,c_291382,c_291381,c_291380,c_291379,c_291378,c_291377,c_291376,c_291375,c_291374,c_291373,c_291372,c_291370,c_291369,c_291368,c_291364,c_291363,c_291360,c_291358,c_291357,c_291356,c_291355,c_291354,c_291353,c_291351,c_291349,c_291348,c_291346,c_291347,c_291345,c_291343,c_291344,c_291342,c_291341,c_291340,c_291339,c_291338,c_291337,c_291335,c_291334,c_291332,c_291333,c_291330,c_291329,c_291328,c_291327,c_291326,c_291323,c_291322,c_291320,c_291319,c_291318,c_291317,c_291316,c_291315,c_291313,c_291312,c_291311,c_291310,c_291309,c_291308,c_291307,c_291306,c_291304,c_291303,c_291302,c_291299,c_291298,c_291297,c_291294,c_291293,c_291292,c_291291,c_291290,c_291289,c_291276,c_291275,c_29127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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 06:51:28 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 103.56/15.01 % SZS status Started for theBenchmark.p
% 103.56/15.01 % SZS status Unsatisfiable for theBenchmark.p
% 103.56/15.01
% 103.56/15.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 103.56/15.01
% 103.56/15.01 % ------ iProver source info
% 103.56/15.01
% 103.56/15.01 % git: date: 2026-07-19 20:42:38 +0200
% 103.56/15.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 103.56/15.01 % git: non_committed_changes: false
% 103.56/15.01
% 103.56/15.01 % ------ Parsing...% successful
% 103.56/15.01
% 103.56/15.01
% 103.56/15.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 103.56/15.01
% 103.56/15.01 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 103.56/15.01
% 103.56/15.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 103.56/15.01
% 103.56/15.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 103.56/15.01 % ------ Proving...
% 103.56/15.01 % ------ Problem Properties
% 103.56/15.01
% 103.56/15.01 %
% 103.56/15.01 % clauses 24
% 103.56/15.01 % conjectures 1
% 103.56/15.01 % EPR 17
% 103.56/15.01 % Horn 24
% 103.56/15.01 % unary 10
% 103.56/15.01 % binary 2
% 103.56/15.01 % lits 55
% 103.56/15.01 % lits eq 4
% 103.56/15.01 % fd_pure 0
% 103.56/15.01 % fd_pseudo 0
% 103.56/15.01 % fd_cond 0
% 103.56/15.01 % fd_pseudo_cond 3
% 103.56/15.01 % AC symbols 0
% 103.56/15.01
% 103.56/15.01 % ------ Schedule dynamic 5 is on
% 103.56/15.01
% 103.56/15.01 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 103.56/15.01
% 103.56/15.01
% 103.56/15.01 % ------
% 103.56/15.01 % Current options:
% 103.56/15.01 % ------
% 103.56/15.01
% 103.56/15.01
% 103.56/15.01 %
% 103.56/15.01
% 103.56/15.01 % ------ Proving...
% 103.56/15.01 % Proof_search_loop: time out after: 6012 full_loop iterations
% 103.56/15.01
% 103.56/15.01 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 103.56/15.01
% 103.56/15.01
% 103.56/15.01 % ------
% 103.56/15.01 % Current options:
% 103.56/15.01 % ------
% 103.56/15.01
% 103.56/15.01
% 103.56/15.01 %
% 103.56/15.01
% 103.56/15.01 % ------ Proving...
% 103.56/15.01 %
% 103.56/15.01
% 103.56/15.01 % SZS status Unsatisfiable for theBenchmark.p
% 103.56/15.01
% 103.56/15.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 103.58/15.16
% 103.58/15.16
%------------------------------------------------------------------------------