TSTP Solution File: CAT003-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:13:16 EDT 2024
% Result : Unsatisfiable 6.95s 1.20s
% Output : CNFRefutation 6.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Apr 29 22:21:20 EDT 2024
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % Drodi V3.6.0
% 6.95/1.20 % Refutation found
% 6.95/1.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.95/1.20 % SZS output start CNFRefutation for theBenchmark
% 6.95/1.20 fof(f1,axiom,(
% 6.95/1.20 (![X,Y]: (( ~ defined(X,Y)| product(X,Y,compose(X,Y)) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f2,axiom,(
% 6.95/1.20 (![X,Y,Z]: (( ~ product(X,Y,Z)| defined(X,Y) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f3,axiom,(
% 6.95/1.20 (![X,Y,Xy,Z]: (( ~ product(X,Y,Xy)| ~ defined(Xy,Z)| defined(Y,Z) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f4,axiom,(
% 6.95/1.20 (![X,Y,Xy,Z,Yz]: (( ~ product(X,Y,Xy)| ~ product(Y,Z,Yz)| ~ defined(Xy,Z)| defined(X,Yz) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f5,axiom,(
% 6.95/1.20 (![X,Y,Xy,Z,Xyz,Yz]: (( ~ product(X,Y,Xy)| ~ product(Xy,Z,Xyz)| ~ product(Y,Z,Yz)| product(X,Yz,Xyz) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f6,axiom,(
% 6.95/1.20 (![Y,Z,Yz,X]: (( ~ product(Y,Z,Yz)| ~ defined(X,Yz)| defined(X,Y) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f7,axiom,(
% 6.95/1.20 (![Y,Z,Yz,X,Xy]: (( ~ product(Y,Z,Yz)| ~ product(X,Y,Xy)| ~ defined(X,Yz)| defined(Xy,Z) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f9,axiom,(
% 6.95/1.20 (![X,Y,Z]: (( ~ defined(X,Y)| ~ defined(Y,Z)| ~ identity_map(Y)| defined(X,Z) ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f10,axiom,(
% 6.95/1.20 (![X]: (identity_map(domain(X)) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f11,axiom,(
% 6.95/1.20 (![X]: (identity_map(codomain(X)) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f12,axiom,(
% 6.95/1.20 (![X]: (defined(X,domain(X)) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f13,axiom,(
% 6.95/1.20 (![X]: (defined(codomain(X),X) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f14,axiom,(
% 6.95/1.20 (![X]: (product(X,domain(X),X) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f15,axiom,(
% 6.95/1.20 (![X]: (product(codomain(X),X,X) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f18,axiom,(
% 6.95/1.20 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f19,hypothesis,(
% 6.95/1.20 product(a,b,c) ),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f20,hypothesis,(
% 6.95/1.20 (![X,W,Y]: (( ~ product(X,c,W)| ~ product(Y,c,W)| X = Y ) ))),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f21,hypothesis,(
% 6.95/1.20 product(h,a,d) ),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f22,hypothesis,(
% 6.95/1.20 product(g,a,d) ),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f23,negated_conjecture,(
% 6.95/1.20 h != g ),
% 6.95/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.95/1.20 fof(f24,plain,(
% 6.95/1.20 ![X0,X1]: (~defined(X0,X1)|product(X0,X1,compose(X0,X1)))),
% 6.95/1.20 inference(cnf_transformation,[status(esa)],[f1])).
% 6.95/1.20 fof(f25,plain,(
% 6.95/1.20 ![X,Y]: ((![Z]: ~product(X,Y,Z))|defined(X,Y))),
% 6.95/1.20 inference(miniscoping,[status(esa)],[f2])).
% 6.95/1.20 fof(f26,plain,(
% 6.95/1.20 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(X0,X1))),
% 6.95/1.20 inference(cnf_transformation,[status(esa)],[f25])).
% 6.95/1.20 fof(f27,plain,(
% 6.95/1.20 ![Y,Z]: ((![Xy]: ((![X]: ~product(X,Y,Xy))|~defined(Xy,Z)))|defined(Y,Z))),
% 6.95/1.20 inference(miniscoping,[status(esa)],[f3])).
% 6.95/1.20 fof(f28,plain,(
% 6.95/1.20 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X2,X3)|defined(X1,X3))),
% 6.95/1.20 inference(cnf_transformation,[status(esa)],[f27])).
% 6.95/1.20 fof(f29,plain,(
% 6.95/1.20 ![X,Yz]: ((![Xy,Z]: ((![Y]: (~product(X,Y,Xy)|~product(Y,Z,Yz)))|~defined(Xy,Z)))|defined(X,Yz))),
% 6.95/1.20 inference(miniscoping,[status(esa)],[f4])).
% 6.95/1.20 fof(f30,plain,(
% 6.95/1.20 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~defined(X2,X3)|defined(X0,X4))),
% 6.95/1.20 inference(cnf_transformation,[status(esa)],[f29])).
% 6.95/1.20 fof(f31,plain,(
% 6.95/1.20 ![X,Xyz,Yz]: ((![Y,Z]: ((![Xy]: (~product(X,Y,Xy)|~product(Xy,Z,Xyz)))|~product(Y,Z,Yz)))|product(X,Yz,Xyz))),
% 6.95/1.20 inference(miniscoping,[status(esa)],[f5])).
% 6.95/1.20 fof(f32,plain,(
% 6.95/1.20 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X5)|product(X0,X5,X4))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f31])).
% 6.95/1.21 fof(f33,plain,(
% 6.95/1.21 ![Y,X]: ((![Yz]: ((![Z]: ~product(Y,Z,Yz))|~defined(X,Yz)))|defined(X,Y))),
% 6.95/1.21 inference(miniscoping,[status(esa)],[f6])).
% 6.95/1.21 fof(f34,plain,(
% 6.95/1.21 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X3,X2)|defined(X3,X0))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f33])).
% 6.95/1.21 fof(f35,plain,(
% 6.95/1.21 ![Z,Xy]: ((![Yz,X]: ((![Y]: (~product(Y,Z,Yz)|~product(X,Y,Xy)))|~defined(X,Yz)))|defined(Xy,Z))),
% 6.95/1.21 inference(miniscoping,[status(esa)],[f7])).
% 6.95/1.21 fof(f36,plain,(
% 6.95/1.21 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X3,X0,X4)|~defined(X3,X2)|defined(X4,X1))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f35])).
% 6.95/1.21 fof(f39,plain,(
% 6.95/1.21 ![X,Z]: ((![Y]: ((~defined(X,Y)|~defined(Y,Z))|~identity_map(Y)))|defined(X,Z))),
% 6.95/1.21 inference(miniscoping,[status(esa)],[f9])).
% 6.95/1.21 fof(f40,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~defined(X0,X1)|~defined(X1,X2)|~identity_map(X1)|defined(X0,X2))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f39])).
% 6.95/1.21 fof(f41,plain,(
% 6.95/1.21 ![X0]: (identity_map(domain(X0)))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f10])).
% 6.95/1.21 fof(f42,plain,(
% 6.95/1.21 ![X0]: (identity_map(codomain(X0)))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f11])).
% 6.95/1.21 fof(f43,plain,(
% 6.95/1.21 ![X0]: (defined(X0,domain(X0)))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f12])).
% 6.95/1.21 fof(f44,plain,(
% 6.95/1.21 ![X0]: (defined(codomain(X0),X0))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f13])).
% 6.95/1.21 fof(f45,plain,(
% 6.95/1.21 ![X0]: (product(X0,domain(X0),X0))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f14])).
% 6.95/1.21 fof(f46,plain,(
% 6.95/1.21 ![X0]: (product(codomain(X0),X0,X0))),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f15])).
% 6.95/1.21 fof(f49,plain,(
% 6.95/1.21 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 6.95/1.21 inference(miniscoping,[status(esa)],[f18])).
% 6.95/1.21 fof(f50,plain,(
% 6.95/1.21 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f49])).
% 6.95/1.21 fof(f51,plain,(
% 6.95/1.21 product(a,b,c)),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f19])).
% 6.95/1.21 fof(f52,plain,(
% 6.95/1.21 ![X,Y]: ((![W]: (~product(X,c,W)|~product(Y,c,W)))|X=Y)),
% 6.95/1.21 inference(miniscoping,[status(esa)],[f20])).
% 6.95/1.21 fof(f53,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(X0,c,X1)|~product(X2,c,X1)|X0=X2)),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f52])).
% 6.95/1.21 fof(f54,plain,(
% 6.95/1.21 product(h,a,d)),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f21])).
% 6.95/1.21 fof(f55,plain,(
% 6.95/1.21 product(g,a,d)),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f22])).
% 6.95/1.21 fof(f56,plain,(
% 6.95/1.21 ~h=g),
% 6.95/1.21 inference(cnf_transformation,[status(esa)],[f23])).
% 6.95/1.21 fof(f59,plain,(
% 6.95/1.21 defined(a,b)),
% 6.95/1.21 inference(resolution,[status(thm)],[f26,f51])).
% 6.95/1.21 fof(f62,plain,(
% 6.95/1.21 defined(h,a)),
% 6.95/1.21 inference(resolution,[status(thm)],[f26,f54])).
% 6.95/1.21 fof(f68,plain,(
% 6.95/1.21 ![X0]: (~defined(c,X0)|defined(b,X0))),
% 6.95/1.21 inference(resolution,[status(thm)],[f28,f51])).
% 6.95/1.21 fof(f70,plain,(
% 6.95/1.21 ![X0]: (~defined(d,X0)|defined(a,X0))),
% 6.95/1.21 inference(resolution,[status(thm)],[f28,f55])).
% 6.95/1.21 fof(f73,plain,(
% 6.95/1.21 ![X0,X1]: (~defined(X0,X1)|defined(domain(X0),X1))),
% 6.95/1.21 inference(resolution,[status(thm)],[f28,f45])).
% 6.95/1.21 fof(f74,plain,(
% 6.95/1.21 defined(a,domain(d))),
% 6.95/1.21 inference(resolution,[status(thm)],[f70,f43])).
% 6.95/1.21 fof(f77,plain,(
% 6.95/1.21 defined(b,domain(c))),
% 6.95/1.21 inference(resolution,[status(thm)],[f68,f43])).
% 6.95/1.21 fof(f81,plain,(
% 6.95/1.21 defined(domain(a),b)),
% 6.95/1.21 inference(resolution,[status(thm)],[f73,f59])).
% 6.95/1.21 fof(f84,plain,(
% 6.95/1.21 ![X0]: (defined(domain(codomain(X0)),X0))),
% 6.95/1.21 inference(resolution,[status(thm)],[f73,f44])).
% 6.95/1.21 fof(f105,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(X0,X1,X2)|~defined(X0,X1)|defined(codomain(X0),X2))),
% 6.95/1.21 inference(resolution,[status(thm)],[f30,f46])).
% 6.95/1.21 fof(f106,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(codomain(X0),X2))),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f105,f26])).
% 6.95/1.21 fof(f115,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(d,X0,X1)|~product(a,X0,X2)|product(g,X2,X1))),
% 6.95/1.21 inference(resolution,[status(thm)],[f32,f55])).
% 6.95/1.21 fof(f117,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(d,X0,X1)|~product(a,X0,X2)|product(h,X2,X1))),
% 6.95/1.21 inference(resolution,[status(thm)],[f32,f54])).
% 6.95/1.21 fof(f120,plain,(
% 6.95/1.21 ![X0,X1]: (~defined(X0,X1)|defined(X0,codomain(X1)))),
% 6.95/1.21 inference(resolution,[status(thm)],[f34,f46])).
% 6.95/1.21 fof(f122,plain,(
% 6.95/1.21 ![X0]: (~defined(X0,d)|defined(X0,g))),
% 6.95/1.21 inference(resolution,[status(thm)],[f34,f55])).
% 6.95/1.21 fof(f124,plain,(
% 6.95/1.21 ![X0]: (~defined(X0,d)|defined(X0,h))),
% 6.95/1.21 inference(resolution,[status(thm)],[f34,f54])).
% 6.95/1.21 fof(f128,plain,(
% 6.95/1.21 defined(codomain(d),g)),
% 6.95/1.21 inference(resolution,[status(thm)],[f122,f44])).
% 6.95/1.21 fof(f132,plain,(
% 6.95/1.21 defined(codomain(d),h)),
% 6.95/1.21 inference(resolution,[status(thm)],[f124,f44])).
% 6.95/1.21 fof(f135,plain,(
% 6.95/1.21 spl0_0 <=> defined(d,b)),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f136,plain,(
% 6.95/1.21 defined(d,b)|~spl0_0),
% 6.95/1.21 inference(component_clause,[status(thm)],[f135])).
% 6.95/1.21 fof(f143,plain,(
% 6.95/1.21 spl0_2 <=> defined(d,domain(a))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f145,plain,(
% 6.95/1.21 ~defined(d,domain(a))|spl0_2),
% 6.95/1.21 inference(component_clause,[status(thm)],[f143])).
% 6.95/1.21 fof(f163,plain,(
% 6.95/1.21 spl0_4 <=> defined(h,c)),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f165,plain,(
% 6.95/1.21 ~defined(h,c)|spl0_4),
% 6.95/1.21 inference(component_clause,[status(thm)],[f163])).
% 6.95/1.21 fof(f205,plain,(
% 6.95/1.21 defined(a,codomain(b))),
% 6.95/1.21 inference(resolution,[status(thm)],[f120,f59])).
% 6.95/1.21 fof(f206,plain,(
% 6.95/1.21 defined(h,codomain(a))),
% 6.95/1.21 inference(resolution,[status(thm)],[f120,f62])).
% 6.95/1.21 fof(f242,plain,(
% 6.95/1.21 ![X0,X1]: (~product(X0,a,X1)|~defined(X0,c)|defined(X1,b))),
% 6.95/1.21 inference(resolution,[status(thm)],[f36,f51])).
% 6.95/1.21 fof(f248,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(X0,X1,X2)|~defined(X0,X1)|defined(X2,domain(X1)))),
% 6.95/1.21 inference(resolution,[status(thm)],[f36,f45])).
% 6.95/1.21 fof(f249,plain,(
% 6.95/1.21 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(X2,domain(X1)))),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f248,f26])).
% 6.95/1.21 fof(f337,plain,(
% 6.95/1.21 spl0_24 <=> identity_map(codomain(a))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f339,plain,(
% 6.95/1.21 ~identity_map(codomain(a))|spl0_24),
% 6.95/1.21 inference(component_clause,[status(thm)],[f337])).
% 6.95/1.21 fof(f390,plain,(
% 6.95/1.21 spl0_35 <=> ~defined(codomain(a),X0)|defined(h,X0)),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f391,plain,(
% 6.95/1.21 ![X0]: (~defined(codomain(a),X0)|defined(h,X0)|~spl0_35)),
% 6.95/1.21 inference(component_clause,[status(thm)],[f390])).
% 6.95/1.21 fof(f393,plain,(
% 6.95/1.21 ![X0]: (~defined(codomain(a),X0)|~identity_map(codomain(a))|defined(h,X0))),
% 6.95/1.21 inference(resolution,[status(thm)],[f40,f206])).
% 6.95/1.21 fof(f394,plain,(
% 6.95/1.21 spl0_35|~spl0_24),
% 6.95/1.21 inference(split_clause,[status(thm)],[f393,f390,f337])).
% 6.95/1.21 fof(f436,plain,(
% 6.95/1.21 $false|spl0_24),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f339,f42])).
% 6.95/1.21 fof(f437,plain,(
% 6.95/1.21 spl0_24),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f436])).
% 6.95/1.21 fof(f441,plain,(
% 6.95/1.21 spl0_43 <=> identity_map(codomain(domain(d)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f443,plain,(
% 6.95/1.21 ~identity_map(codomain(domain(d)))|spl0_43),
% 6.95/1.21 inference(component_clause,[status(thm)],[f441])).
% 6.95/1.21 fof(f449,plain,(
% 6.95/1.21 $false|spl0_43),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f443,f42])).
% 6.95/1.21 fof(f450,plain,(
% 6.95/1.21 spl0_43),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f449])).
% 6.95/1.21 fof(f454,plain,(
% 6.95/1.21 spl0_45 <=> identity_map(codomain(h))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f456,plain,(
% 6.95/1.21 ~identity_map(codomain(h))|spl0_45),
% 6.95/1.21 inference(component_clause,[status(thm)],[f454])).
% 6.95/1.21 fof(f462,plain,(
% 6.95/1.21 $false|spl0_45),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f456,f42])).
% 6.95/1.21 fof(f463,plain,(
% 6.95/1.21 spl0_45),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f462])).
% 6.95/1.21 fof(f468,plain,(
% 6.95/1.21 spl0_47 <=> identity_map(codomain(g))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f470,plain,(
% 6.95/1.21 ~identity_map(codomain(g))|spl0_47),
% 6.95/1.21 inference(component_clause,[status(thm)],[f468])).
% 6.95/1.21 fof(f476,plain,(
% 6.95/1.21 $false|spl0_47),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f470,f42])).
% 6.95/1.21 fof(f477,plain,(
% 6.95/1.21 spl0_47),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f476])).
% 6.95/1.21 fof(f481,plain,(
% 6.95/1.21 spl0_49 <=> identity_map(codomain(codomain(a)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f483,plain,(
% 6.95/1.21 ~identity_map(codomain(codomain(a)))|spl0_49),
% 6.95/1.21 inference(component_clause,[status(thm)],[f481])).
% 6.95/1.21 fof(f489,plain,(
% 6.95/1.21 $false|spl0_49),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f483,f42])).
% 6.95/1.21 fof(f490,plain,(
% 6.95/1.21 spl0_49),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f489])).
% 6.95/1.21 fof(f523,plain,(
% 6.95/1.21 spl0_54 <=> defined(codomain(g),d)),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f525,plain,(
% 6.95/1.21 ~defined(codomain(g),d)|spl0_54),
% 6.95/1.21 inference(component_clause,[status(thm)],[f523])).
% 6.95/1.21 fof(f528,plain,(
% 6.95/1.21 spl0_55 <=> defined(codomain(h),d)),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f530,plain,(
% 6.95/1.21 ~defined(codomain(h),d)|spl0_55),
% 6.95/1.21 inference(component_clause,[status(thm)],[f528])).
% 6.95/1.21 fof(f549,plain,(
% 6.95/1.21 spl0_58 <=> identity_map(codomain(domain(c)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f551,plain,(
% 6.95/1.21 ~identity_map(codomain(domain(c)))|spl0_58),
% 6.95/1.21 inference(component_clause,[status(thm)],[f549])).
% 6.95/1.21 fof(f557,plain,(
% 6.95/1.21 $false|spl0_58),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f551,f42])).
% 6.95/1.21 fof(f558,plain,(
% 6.95/1.21 spl0_58),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f557])).
% 6.95/1.21 fof(f570,plain,(
% 6.95/1.21 spl0_61 <=> identity_map(codomain(codomain(b)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f572,plain,(
% 6.95/1.21 ~identity_map(codomain(codomain(b)))|spl0_61),
% 6.95/1.21 inference(component_clause,[status(thm)],[f570])).
% 6.95/1.21 fof(f578,plain,(
% 6.95/1.21 $false|spl0_61),
% 6.95/1.21 inference(forward_subsumption_resolution,[status(thm)],[f572,f42])).
% 6.95/1.21 fof(f579,plain,(
% 6.95/1.21 spl0_61),
% 6.95/1.21 inference(contradiction_clause,[status(thm)],[f578])).
% 6.95/1.21 fof(f622,plain,(
% 6.95/1.21 spl0_62 <=> identity_map(domain(domain(codomain(d))))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f624,plain,(
% 6.95/1.21 ~identity_map(domain(domain(codomain(d))))|spl0_62),
% 6.95/1.21 inference(component_clause,[status(thm)],[f622])).
% 6.95/1.21 fof(f637,plain,(
% 6.95/1.21 spl0_65 <=> identity_map(domain(domain(domain(g))))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f639,plain,(
% 6.95/1.21 ~identity_map(domain(domain(domain(g))))|spl0_65),
% 6.95/1.21 inference(component_clause,[status(thm)],[f637])).
% 6.95/1.21 fof(f645,plain,(
% 6.95/1.21 spl0_67 <=> identity_map(domain(domain(domain(h))))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f647,plain,(
% 6.95/1.21 ~identity_map(domain(domain(domain(h))))|spl0_67),
% 6.95/1.21 inference(component_clause,[status(thm)],[f645])).
% 6.95/1.21 fof(f653,plain,(
% 6.95/1.21 spl0_69 <=> identity_map(domain(domain(g)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f655,plain,(
% 6.95/1.21 ~identity_map(domain(domain(g)))|spl0_69),
% 6.95/1.21 inference(component_clause,[status(thm)],[f653])).
% 6.95/1.21 fof(f666,plain,(
% 6.95/1.21 spl0_72 <=> identity_map(domain(domain(h)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f668,plain,(
% 6.95/1.21 ~identity_map(domain(domain(h)))|spl0_72),
% 6.95/1.21 inference(component_clause,[status(thm)],[f666])).
% 6.95/1.21 fof(f679,plain,(
% 6.95/1.21 spl0_75 <=> identity_map(domain(domain(a)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f681,plain,(
% 6.95/1.21 ~identity_map(domain(domain(a)))|spl0_75),
% 6.95/1.21 inference(component_clause,[status(thm)],[f679])).
% 6.95/1.21 fof(f694,plain,(
% 6.95/1.21 spl0_78 <=> identity_map(domain(b))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f696,plain,(
% 6.95/1.21 ~identity_map(domain(b))|spl0_78),
% 6.95/1.21 inference(component_clause,[status(thm)],[f694])).
% 6.95/1.21 fof(f702,plain,(
% 6.95/1.21 spl0_80 <=> identity_map(domain(codomain(c)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f704,plain,(
% 6.95/1.21 ~identity_map(domain(codomain(c)))|spl0_80),
% 6.95/1.21 inference(component_clause,[status(thm)],[f702])).
% 6.95/1.21 fof(f710,plain,(
% 6.95/1.21 spl0_82 <=> identity_map(domain(codomain(d)))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f712,plain,(
% 6.95/1.21 ~identity_map(domain(codomain(d)))|spl0_82),
% 6.95/1.21 inference(component_clause,[status(thm)],[f710])).
% 6.95/1.21 fof(f727,plain,(
% 6.95/1.21 spl0_85 <=> identity_map(domain(g))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f729,plain,(
% 6.95/1.21 ~identity_map(domain(g))|spl0_85),
% 6.95/1.21 inference(component_clause,[status(thm)],[f727])).
% 6.95/1.21 fof(f740,plain,(
% 6.95/1.21 spl0_88 <=> identity_map(domain(h))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f742,plain,(
% 6.95/1.21 ~identity_map(domain(h))|spl0_88),
% 6.95/1.21 inference(component_clause,[status(thm)],[f740])).
% 6.95/1.21 fof(f753,plain,(
% 6.95/1.21 spl0_91 <=> identity_map(domain(a))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f755,plain,(
% 6.95/1.21 ~identity_map(domain(a))|spl0_91),
% 6.95/1.21 inference(component_clause,[status(thm)],[f753])).
% 6.95/1.21 fof(f840,plain,(
% 6.95/1.21 spl0_108 <=> identity_map(codomain(c))),
% 6.95/1.21 introduced(split_symbol_definition)).
% 6.95/1.21 fof(f842,plain,(
% 6.95/1.21 ~identity_map(codomain(c))|spl0_108),
% 6.95/1.21 inference(component_clause,[status(thm)],[f840])).
% 6.95/1.21 fof(f853,plain,(
% 6.95/1.21 spl0_111 <=> identity_map(codomain(d))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f855,plain,(
% 6.95/1.22 ~identity_map(codomain(d))|spl0_111),
% 6.95/1.22 inference(component_clause,[status(thm)],[f853])).
% 6.95/1.22 fof(f884,plain,(
% 6.95/1.22 $false|spl0_80),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f704,f41])).
% 6.95/1.22 fof(f885,plain,(
% 6.95/1.22 spl0_80),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f884])).
% 6.95/1.22 fof(f886,plain,(
% 6.95/1.22 $false|spl0_78),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f696,f41])).
% 6.95/1.22 fof(f887,plain,(
% 6.95/1.22 spl0_78),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f886])).
% 6.95/1.22 fof(f888,plain,(
% 6.95/1.22 $false|spl0_67),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f647,f41])).
% 6.95/1.22 fof(f889,plain,(
% 6.95/1.22 spl0_67),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f888])).
% 6.95/1.22 fof(f890,plain,(
% 6.95/1.22 $false|spl0_65),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f639,f41])).
% 6.95/1.22 fof(f891,plain,(
% 6.95/1.22 spl0_65),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f890])).
% 6.95/1.22 fof(f892,plain,(
% 6.95/1.22 $false|spl0_108),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f842,f42])).
% 6.95/1.22 fof(f893,plain,(
% 6.95/1.22 spl0_108),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f892])).
% 6.95/1.22 fof(f894,plain,(
% 6.95/1.22 $false|spl0_88),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f742,f41])).
% 6.95/1.22 fof(f895,plain,(
% 6.95/1.22 spl0_88),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f894])).
% 6.95/1.22 fof(f896,plain,(
% 6.95/1.22 $false|spl0_85),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f729,f41])).
% 6.95/1.22 fof(f897,plain,(
% 6.95/1.22 spl0_85),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f896])).
% 6.95/1.22 fof(f898,plain,(
% 6.95/1.22 $false|spl0_82),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f712,f41])).
% 6.95/1.22 fof(f899,plain,(
% 6.95/1.22 spl0_82),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f898])).
% 6.95/1.22 fof(f900,plain,(
% 6.95/1.22 $false|spl0_75),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f681,f41])).
% 6.95/1.22 fof(f901,plain,(
% 6.95/1.22 spl0_75),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f900])).
% 6.95/1.22 fof(f902,plain,(
% 6.95/1.22 $false|spl0_72),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f668,f41])).
% 6.95/1.22 fof(f903,plain,(
% 6.95/1.22 spl0_72),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f902])).
% 6.95/1.22 fof(f904,plain,(
% 6.95/1.22 $false|spl0_69),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f655,f41])).
% 6.95/1.22 fof(f905,plain,(
% 6.95/1.22 spl0_69),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f904])).
% 6.95/1.22 fof(f906,plain,(
% 6.95/1.22 $false|spl0_62),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f624,f41])).
% 6.95/1.22 fof(f907,plain,(
% 6.95/1.22 spl0_62),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f906])).
% 6.95/1.22 fof(f908,plain,(
% 6.95/1.22 $false|spl0_91),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f755,f41])).
% 6.95/1.22 fof(f909,plain,(
% 6.95/1.22 spl0_91),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f908])).
% 6.95/1.22 fof(f910,plain,(
% 6.95/1.22 $false|spl0_111),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f855,f42])).
% 6.95/1.22 fof(f911,plain,(
% 6.95/1.22 spl0_111),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f910])).
% 6.95/1.22 fof(f1155,plain,(
% 6.95/1.22 spl0_156 <=> defined(codomain(d),d)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1157,plain,(
% 6.95/1.22 ~defined(codomain(d),d)|spl0_156),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1155])).
% 6.95/1.22 fof(f1168,plain,(
% 6.95/1.22 $false|spl0_156),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1157,f44])).
% 6.95/1.22 fof(f1169,plain,(
% 6.95/1.22 spl0_156),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1168])).
% 6.95/1.22 fof(f1180,plain,(
% 6.95/1.22 spl0_157 <=> defined(d,domain(d))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1182,plain,(
% 6.95/1.22 ~defined(d,domain(d))|spl0_157),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1180])).
% 6.95/1.22 fof(f1420,plain,(
% 6.95/1.22 spl0_175 <=> identity_map(domain(domain(c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1422,plain,(
% 6.95/1.22 ~identity_map(domain(domain(c)))|spl0_175),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1420])).
% 6.95/1.22 fof(f1441,plain,(
% 6.95/1.22 $false|spl0_175),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1422,f41])).
% 6.95/1.22 fof(f1442,plain,(
% 6.95/1.22 spl0_175),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1441])).
% 6.95/1.22 fof(f1443,plain,(
% 6.95/1.22 spl0_179 <=> identity_map(domain(domain(d)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1445,plain,(
% 6.95/1.22 ~identity_map(domain(domain(d)))|spl0_179),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1443])).
% 6.95/1.22 fof(f1464,plain,(
% 6.95/1.22 $false|spl0_179),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1445,f41])).
% 6.95/1.22 fof(f1465,plain,(
% 6.95/1.22 spl0_179),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1464])).
% 6.95/1.22 fof(f1548,plain,(
% 6.95/1.22 spl0_190 <=> identity_map(domain(codomain(a)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1550,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(a)))|spl0_190),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1548])).
% 6.95/1.22 fof(f1569,plain,(
% 6.95/1.22 $false|spl0_190),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1550,f41])).
% 6.95/1.22 fof(f1570,plain,(
% 6.95/1.22 spl0_190),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1569])).
% 6.95/1.22 fof(f1598,plain,(
% 6.95/1.22 spl0_197 <=> identity_map(codomain(codomain(domain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1600,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(domain(d))))|spl0_197),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1598])).
% 6.95/1.22 fof(f1619,plain,(
% 6.95/1.22 $false|spl0_197),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1600,f42])).
% 6.95/1.22 fof(f1620,plain,(
% 6.95/1.22 spl0_197),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1619])).
% 6.95/1.22 fof(f1621,plain,(
% 6.95/1.22 spl0_201 <=> identity_map(codomain(codomain(h)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1623,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(h)))|spl0_201),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1621])).
% 6.95/1.22 fof(f1642,plain,(
% 6.95/1.22 $false|spl0_201),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1623,f42])).
% 6.95/1.22 fof(f1643,plain,(
% 6.95/1.22 spl0_201),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1642])).
% 6.95/1.22 fof(f1655,plain,(
% 6.95/1.22 defined(codomain(a),c)),
% 6.95/1.22 inference(resolution,[status(thm)],[f106,f51])).
% 6.95/1.22 fof(f1661,plain,(
% 6.95/1.22 defined(codomain(g),d)),
% 6.95/1.22 inference(resolution,[status(thm)],[f106,f55])).
% 6.95/1.22 fof(f1662,plain,(
% 6.95/1.22 $false|spl0_54),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1661,f525])).
% 6.95/1.22 fof(f1663,plain,(
% 6.95/1.22 spl0_54),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1662])).
% 6.95/1.22 fof(f1665,plain,(
% 6.95/1.22 defined(codomain(h),d)),
% 6.95/1.22 inference(resolution,[status(thm)],[f106,f54])).
% 6.95/1.22 fof(f1666,plain,(
% 6.95/1.22 $false|spl0_55),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1665,f530])).
% 6.95/1.22 fof(f1667,plain,(
% 6.95/1.22 spl0_55),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1666])).
% 6.95/1.22 fof(f1674,plain,(
% 6.95/1.22 defined(h,c)|~spl0_35),
% 6.95/1.22 inference(resolution,[status(thm)],[f1655,f391])).
% 6.95/1.22 fof(f1734,plain,(
% 6.95/1.22 product(h,c,compose(h,c))|~spl0_35),
% 6.95/1.22 inference(resolution,[status(thm)],[f1674,f24])).
% 6.95/1.22 fof(f1745,plain,(
% 6.95/1.22 defined(codomain(g),h)),
% 6.95/1.22 inference(resolution,[status(thm)],[f1661,f124])).
% 6.95/1.22 fof(f1769,plain,(
% 6.95/1.22 defined(codomain(h),g)),
% 6.95/1.22 inference(resolution,[status(thm)],[f1665,f122])).
% 6.95/1.22 fof(f1806,plain,(
% 6.95/1.22 spl0_225 <=> defined(c,domain(c))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1808,plain,(
% 6.95/1.22 ~defined(c,domain(c))|spl0_225),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1806])).
% 6.95/1.22 fof(f1829,plain,(
% 6.95/1.22 $false|spl0_225),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1808,f43])).
% 6.95/1.22 fof(f1830,plain,(
% 6.95/1.22 spl0_225),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1829])).
% 6.95/1.22 fof(f1943,plain,(
% 6.95/1.22 spl0_246 <=> identity_map(codomain(domain(g)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1945,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(g)))|spl0_246),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1943])).
% 6.95/1.22 fof(f1959,plain,(
% 6.95/1.22 $false|spl0_246),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1945,f42])).
% 6.95/1.22 fof(f1960,plain,(
% 6.95/1.22 spl0_246),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1959])).
% 6.95/1.22 fof(f1966,plain,(
% 6.95/1.22 spl0_250 <=> identity_map(codomain(domain(h)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1968,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(h)))|spl0_250),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1966])).
% 6.95/1.22 fof(f1982,plain,(
% 6.95/1.22 $false|spl0_250),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1968,f42])).
% 6.95/1.22 fof(f1983,plain,(
% 6.95/1.22 spl0_250),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f1982])).
% 6.95/1.22 fof(f1989,plain,(
% 6.95/1.22 spl0_254 <=> identity_map(codomain(codomain(d)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f1991,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(d)))|spl0_254),
% 6.95/1.22 inference(component_clause,[status(thm)],[f1989])).
% 6.95/1.22 fof(f2005,plain,(
% 6.95/1.22 $false|spl0_254),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1991,f42])).
% 6.95/1.22 fof(f2006,plain,(
% 6.95/1.22 spl0_254),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2005])).
% 6.95/1.22 fof(f2051,plain,(
% 6.95/1.22 spl0_264 <=> identity_map(domain(codomain(g)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f2053,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(g)))|spl0_264),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2051])).
% 6.95/1.22 fof(f2067,plain,(
% 6.95/1.22 $false|spl0_264),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2053,f41])).
% 6.95/1.22 fof(f2068,plain,(
% 6.95/1.22 spl0_264),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2067])).
% 6.95/1.22 fof(f2127,plain,(
% 6.95/1.22 spl0_273 <=> identity_map(codomain(domain(a)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f2129,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(a)))|spl0_273),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2127])).
% 6.95/1.22 fof(f2143,plain,(
% 6.95/1.22 $false|spl0_273),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2129,f42])).
% 6.95/1.22 fof(f2144,plain,(
% 6.95/1.22 spl0_273),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2143])).
% 6.95/1.22 fof(f2160,plain,(
% 6.95/1.22 spl0_277 <=> identity_map(codomain(codomain(c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f2162,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(c)))|spl0_277),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2160])).
% 6.95/1.22 fof(f2176,plain,(
% 6.95/1.22 $false|spl0_277),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2162,f42])).
% 6.95/1.22 fof(f2177,plain,(
% 6.95/1.22 spl0_277),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2176])).
% 6.95/1.22 fof(f2247,plain,(
% 6.95/1.22 spl0_287 <=> identity_map(domain(codomain(h)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f2249,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(h)))|spl0_287),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2247])).
% 6.95/1.22 fof(f2263,plain,(
% 6.95/1.22 $false|spl0_287),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2249,f41])).
% 6.95/1.22 fof(f2264,plain,(
% 6.95/1.22 spl0_287),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2263])).
% 6.95/1.22 fof(f2401,plain,(
% 6.95/1.22 ~defined(h,c)|defined(d,b)),
% 6.95/1.22 inference(resolution,[status(thm)],[f242,f54])).
% 6.95/1.22 fof(f2402,plain,(
% 6.95/1.22 ~spl0_4|spl0_0),
% 6.95/1.22 inference(split_clause,[status(thm)],[f2401,f163,f135])).
% 6.95/1.22 fof(f2403,plain,(
% 6.95/1.22 $false|~spl0_35|spl0_4),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f165,f1674])).
% 6.95/1.22 fof(f2404,plain,(
% 6.95/1.22 ~spl0_35|spl0_4),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2403])).
% 6.95/1.22 fof(f2423,plain,(
% 6.95/1.22 product(d,b,compose(d,b))|~spl0_0),
% 6.95/1.22 inference(resolution,[status(thm)],[f136,f24])).
% 6.95/1.22 fof(f2684,plain,(
% 6.95/1.22 spl0_336 <=> identity_map(codomain(codomain(g)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f2686,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(g)))|spl0_336),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2684])).
% 6.95/1.22 fof(f2700,plain,(
% 6.95/1.22 $false|spl0_336),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2686,f42])).
% 6.95/1.22 fof(f2701,plain,(
% 6.95/1.22 spl0_336),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2700])).
% 6.95/1.22 fof(f2889,plain,(
% 6.95/1.22 defined(d,domain(a))),
% 6.95/1.22 inference(resolution,[status(thm)],[f249,f55])).
% 6.95/1.22 fof(f2890,plain,(
% 6.95/1.22 $false|spl0_2),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2889,f145])).
% 6.95/1.22 fof(f2891,plain,(
% 6.95/1.22 spl0_2),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f2890])).
% 6.95/1.22 fof(f2998,plain,(
% 6.95/1.22 spl0_372 <=> identity_map(domain(codomain(b)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f3000,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(b)))|spl0_372),
% 6.95/1.22 inference(component_clause,[status(thm)],[f2998])).
% 6.95/1.22 fof(f3019,plain,(
% 6.95/1.22 $false|spl0_372),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f3000,f41])).
% 6.95/1.22 fof(f3020,plain,(
% 6.95/1.22 spl0_372),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f3019])).
% 6.95/1.22 fof(f3183,plain,(
% 6.95/1.22 spl0_397 <=> identity_map(codomain(domain(b)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f3185,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(b)))|spl0_397),
% 6.95/1.22 inference(component_clause,[status(thm)],[f3183])).
% 6.95/1.22 fof(f3204,plain,(
% 6.95/1.22 $false|spl0_397),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f3185,f42])).
% 6.95/1.22 fof(f3205,plain,(
% 6.95/1.22 spl0_397),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f3204])).
% 6.95/1.22 fof(f3239,plain,(
% 6.95/1.22 spl0_404 <=> identity_map(domain(domain(b)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f3241,plain,(
% 6.95/1.22 ~identity_map(domain(domain(b)))|spl0_404),
% 6.95/1.22 inference(component_clause,[status(thm)],[f3239])).
% 6.95/1.22 fof(f3260,plain,(
% 6.95/1.22 $false|spl0_404),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f3241,f41])).
% 6.95/1.22 fof(f3261,plain,(
% 6.95/1.22 spl0_404),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f3260])).
% 6.95/1.22 fof(f4015,plain,(
% 6.95/1.22 spl0_525 <=> identity_map(codomain(codomain(codomain(a))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4017,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(codomain(a))))|spl0_525),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4015])).
% 6.95/1.22 fof(f4036,plain,(
% 6.95/1.22 $false|spl0_525),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4017,f42])).
% 6.95/1.22 fof(f4037,plain,(
% 6.95/1.22 spl0_525),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f4036])).
% 6.95/1.22 fof(f4062,plain,(
% 6.95/1.22 spl0_533 <=> defined(codomain(d),h)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4064,plain,(
% 6.95/1.22 ~defined(codomain(d),h)|spl0_533),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4062])).
% 6.95/1.22 fof(f4067,plain,(
% 6.95/1.22 spl0_534 <=> defined(domain(codomain(d)),d)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4069,plain,(
% 6.95/1.22 ~defined(domain(codomain(d)),d)|spl0_534),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4067])).
% 6.95/1.22 fof(f4086,plain,(
% 6.95/1.22 spl0_535 <=> defined(codomain(d),g)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4088,plain,(
% 6.95/1.22 ~defined(codomain(d),g)|spl0_535),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4086])).
% 6.95/1.22 fof(f4162,plain,(
% 6.95/1.22 spl0_541 <=> defined(a,domain(d))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4164,plain,(
% 6.95/1.22 ~defined(a,domain(d))|spl0_541),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4162])).
% 6.95/1.22 fof(f4936,plain,(
% 6.95/1.22 spl0_571 <=> identity_map(domain(domain(domain(a))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f4938,plain,(
% 6.95/1.22 ~identity_map(domain(domain(domain(a))))|spl0_571),
% 6.95/1.22 inference(component_clause,[status(thm)],[f4936])).
% 6.95/1.22 fof(f4962,plain,(
% 6.95/1.22 $false|spl0_571),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4938,f41])).
% 6.95/1.22 fof(f4963,plain,(
% 6.95/1.22 spl0_571),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f4962])).
% 6.95/1.22 fof(f5071,plain,(
% 6.95/1.22 spl0_577 <=> identity_map(codomain(domain(domain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5073,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(domain(d))))|spl0_577),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5071])).
% 6.95/1.22 fof(f5092,plain,(
% 6.95/1.22 $false|spl0_577),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5073,f42])).
% 6.95/1.22 fof(f5093,plain,(
% 6.95/1.22 spl0_577),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5092])).
% 6.95/1.22 fof(f5100,plain,(
% 6.95/1.22 spl0_582 <=> identity_map(domain(domain(domain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5102,plain,(
% 6.95/1.22 ~identity_map(domain(domain(domain(d))))|spl0_582),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5100])).
% 6.95/1.22 fof(f5121,plain,(
% 6.95/1.22 $false|spl0_582),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5102,f41])).
% 6.95/1.22 fof(f5122,plain,(
% 6.95/1.22 spl0_582),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5121])).
% 6.95/1.22 fof(f5488,plain,(
% 6.95/1.22 $false|spl0_157),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f1182,f43])).
% 6.95/1.22 fof(f5489,plain,(
% 6.95/1.22 spl0_157),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5488])).
% 6.95/1.22 fof(f5554,plain,(
% 6.95/1.22 spl0_606 <=> identity_map(codomain(codomain(domain(c))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5556,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(domain(c))))|spl0_606),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5554])).
% 6.95/1.22 fof(f5575,plain,(
% 6.95/1.22 $false|spl0_606),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5556,f42])).
% 6.95/1.22 fof(f5576,plain,(
% 6.95/1.22 spl0_606),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5575])).
% 6.95/1.22 fof(f5589,plain,(
% 6.95/1.22 spl0_611 <=> identity_map(codomain(codomain(codomain(b))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5591,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(codomain(b))))|spl0_611),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5589])).
% 6.95/1.22 fof(f5610,plain,(
% 6.95/1.22 $false|spl0_611),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5591,f42])).
% 6.95/1.22 fof(f5611,plain,(
% 6.95/1.22 spl0_611),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5610])).
% 6.95/1.22 fof(f5739,plain,(
% 6.95/1.22 ![X0]: (~product(X0,c,compose(h,c))|h=X0|~spl0_35)),
% 6.95/1.22 inference(resolution,[status(thm)],[f1734,f53])).
% 6.95/1.22 fof(f5747,plain,(
% 6.95/1.22 ![X0]: (~product(h,c,X0)|compose(h,c)=X0|~spl0_35)),
% 6.95/1.22 inference(resolution,[status(thm)],[f1734,f50])).
% 6.95/1.22 fof(f5835,plain,(
% 6.95/1.22 spl0_619 <=> identity_map(domain(codomain(codomain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5837,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(codomain(d))))|spl0_619),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5835])).
% 6.95/1.22 fof(f5861,plain,(
% 6.95/1.22 $false|spl0_619),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5837,f41])).
% 6.95/1.22 fof(f5862,plain,(
% 6.95/1.22 spl0_619),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f5861])).
% 6.95/1.22 fof(f5909,plain,(
% 6.95/1.22 spl0_629 <=> defined(domain(a),b)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5911,plain,(
% 6.95/1.22 ~defined(domain(a),b)|spl0_629),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5909])).
% 6.95/1.22 fof(f5933,plain,(
% 6.95/1.22 spl0_631 <=> defined(b,domain(c))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5935,plain,(
% 6.95/1.22 ~defined(b,domain(c))|spl0_631),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5933])).
% 6.95/1.22 fof(f5959,plain,(
% 6.95/1.22 spl0_633 <=> defined(a,codomain(b))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f5961,plain,(
% 6.95/1.22 ~defined(a,codomain(b))|spl0_633),
% 6.95/1.22 inference(component_clause,[status(thm)],[f5959])).
% 6.95/1.22 fof(f6433,plain,(
% 6.95/1.22 spl0_635 <=> identity_map(codomain(domain(domain(c))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f6435,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(domain(c))))|spl0_635),
% 6.95/1.22 inference(component_clause,[status(thm)],[f6433])).
% 6.95/1.22 fof(f6454,plain,(
% 6.95/1.22 $false|spl0_635),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f6435,f42])).
% 6.95/1.22 fof(f6455,plain,(
% 6.95/1.22 spl0_635),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f6454])).
% 6.95/1.22 fof(f6580,plain,(
% 6.95/1.22 spl0_651 <=> identity_map(domain(domain(codomain(g))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f6582,plain,(
% 6.95/1.22 ~identity_map(domain(domain(codomain(g))))|spl0_651),
% 6.95/1.22 inference(component_clause,[status(thm)],[f6580])).
% 6.95/1.22 fof(f6606,plain,(
% 6.95/1.22 $false|spl0_651),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f6582,f41])).
% 6.95/1.22 fof(f6607,plain,(
% 6.95/1.22 spl0_651),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f6606])).
% 6.95/1.22 fof(f6698,plain,(
% 6.95/1.22 spl0_664 <=> identity_map(codomain(domain(codomain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f6700,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(codomain(d))))|spl0_664),
% 6.95/1.22 inference(component_clause,[status(thm)],[f6698])).
% 6.95/1.22 fof(f6724,plain,(
% 6.95/1.22 $false|spl0_664),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f6700,f42])).
% 6.95/1.22 fof(f6725,plain,(
% 6.95/1.22 spl0_664),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f6724])).
% 6.95/1.22 fof(f6898,plain,(
% 6.95/1.22 spl0_682 <=> identity_map(domain(domain(domain(c))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f6900,plain,(
% 6.95/1.22 ~identity_map(domain(domain(domain(c))))|spl0_682),
% 6.95/1.22 inference(component_clause,[status(thm)],[f6898])).
% 6.95/1.22 fof(f6919,plain,(
% 6.95/1.22 $false|spl0_682),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f6900,f41])).
% 6.95/1.22 fof(f6920,plain,(
% 6.95/1.22 spl0_682),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f6919])).
% 6.95/1.22 fof(f7144,plain,(
% 6.95/1.22 spl0_695 <=> identity_map(domain(codomain(domain(a))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7146,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(domain(a))))|spl0_695),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7144])).
% 6.95/1.22 fof(f7170,plain,(
% 6.95/1.22 $false|spl0_695),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7146,f41])).
% 6.95/1.22 fof(f7171,plain,(
% 6.95/1.22 spl0_695),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f7170])).
% 6.95/1.22 fof(f7183,plain,(
% 6.95/1.22 spl0_700 <=> identity_map(domain(domain(codomain(h))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7185,plain,(
% 6.95/1.22 ~identity_map(domain(domain(codomain(h))))|spl0_700),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7183])).
% 6.95/1.22 fof(f7209,plain,(
% 6.95/1.22 $false|spl0_700),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7185,f41])).
% 6.95/1.22 fof(f7210,plain,(
% 6.95/1.22 spl0_700),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f7209])).
% 6.95/1.22 fof(f7282,plain,(
% 6.95/1.22 ![X0]: (~product(a,b,X0)|product(h,X0,compose(d,b))|~spl0_0)),
% 6.95/1.22 inference(resolution,[status(thm)],[f2423,f117])).
% 6.95/1.22 fof(f7283,plain,(
% 6.95/1.22 ![X0]: (~product(a,b,X0)|product(g,X0,compose(d,b))|~spl0_0)),
% 6.95/1.22 inference(resolution,[status(thm)],[f2423,f115])).
% 6.95/1.22 fof(f7674,plain,(
% 6.95/1.22 spl0_719 <=> defined(codomain(g),h)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7676,plain,(
% 6.95/1.22 ~defined(codomain(g),h)|spl0_719),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7674])).
% 6.95/1.22 fof(f7814,plain,(
% 6.95/1.22 spl0_732 <=> defined(codomain(h),g)),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7816,plain,(
% 6.95/1.22 ~defined(codomain(h),g)|spl0_732),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7814])).
% 6.95/1.22 fof(f7893,plain,(
% 6.95/1.22 spl0_737 <=> identity_map(domain(codomain(codomain(g))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7895,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(codomain(g))))|spl0_737),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7893])).
% 6.95/1.22 fof(f7919,plain,(
% 6.95/1.22 $false|spl0_737),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7895,f41])).
% 6.95/1.22 fof(f7920,plain,(
% 6.95/1.22 spl0_737),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f7919])).
% 6.95/1.22 fof(f7942,plain,(
% 6.95/1.22 spl0_742 <=> identity_map(codomain(codomain(codomain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f7944,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(codomain(d))))|spl0_742),
% 6.95/1.22 inference(component_clause,[status(thm)],[f7942])).
% 6.95/1.22 fof(f7968,plain,(
% 6.95/1.22 $false|spl0_742),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7944,f42])).
% 6.95/1.22 fof(f7969,plain,(
% 6.95/1.22 spl0_742),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f7968])).
% 6.95/1.22 fof(f8035,plain,(
% 6.95/1.22 spl0_755 <=> identity_map(domain(codomain(codomain(h))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f8037,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(codomain(h))))|spl0_755),
% 6.95/1.22 inference(component_clause,[status(thm)],[f8035])).
% 6.95/1.22 fof(f8061,plain,(
% 6.95/1.22 $false|spl0_755),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8037,f41])).
% 6.95/1.22 fof(f8062,plain,(
% 6.95/1.22 spl0_755),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f8061])).
% 6.95/1.22 fof(f8584,plain,(
% 6.95/1.22 spl0_797 <=> identity_map(domain(codomain(domain(d))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f8586,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(domain(d))))|spl0_797),
% 6.95/1.22 inference(component_clause,[status(thm)],[f8584])).
% 6.95/1.22 fof(f8610,plain,(
% 6.95/1.22 $false|spl0_797),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8586,f41])).
% 6.95/1.22 fof(f8611,plain,(
% 6.95/1.22 spl0_797),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f8610])).
% 6.95/1.22 fof(f8636,plain,(
% 6.95/1.22 spl0_803 <=> identity_map(codomain(domain(codomain(b))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f8638,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(codomain(b))))|spl0_803),
% 6.95/1.22 inference(component_clause,[status(thm)],[f8636])).
% 6.95/1.22 fof(f8657,plain,(
% 6.95/1.22 $false|spl0_803),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8638,f42])).
% 6.95/1.22 fof(f8658,plain,(
% 6.95/1.22 spl0_803),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f8657])).
% 6.95/1.22 fof(f8728,plain,(
% 6.95/1.22 spl0_812 <=> identity_map(codomain(codomain(domain(a))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f8730,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(domain(a))))|spl0_812),
% 6.95/1.22 inference(component_clause,[status(thm)],[f8728])).
% 6.95/1.22 fof(f8749,plain,(
% 6.95/1.22 $false|spl0_812),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8730,f42])).
% 6.95/1.22 fof(f8750,plain,(
% 6.95/1.22 spl0_812),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f8749])).
% 6.95/1.22 fof(f8928,plain,(
% 6.95/1.22 spl0_829 <=> identity_map(codomain(domain(domain(a))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f8930,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(domain(a))))|spl0_829),
% 6.95/1.22 inference(component_clause,[status(thm)],[f8928])).
% 6.95/1.22 fof(f8949,plain,(
% 6.95/1.22 $false|spl0_829),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f8930,f42])).
% 6.95/1.22 fof(f8950,plain,(
% 6.95/1.22 spl0_829),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f8949])).
% 6.95/1.22 fof(f9101,plain,(
% 6.95/1.22 $false|spl0_541),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4164,f74])).
% 6.95/1.22 fof(f9102,plain,(
% 6.95/1.22 spl0_541),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9101])).
% 6.95/1.22 fof(f9258,plain,(
% 6.95/1.22 spl0_860 <=> identity_map(domain(codomain(domain(c))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f9260,plain,(
% 6.95/1.22 ~identity_map(domain(codomain(domain(c))))|spl0_860),
% 6.95/1.22 inference(component_clause,[status(thm)],[f9258])).
% 6.95/1.22 fof(f9279,plain,(
% 6.95/1.22 $false|spl0_860),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f9260,f41])).
% 6.95/1.22 fof(f9280,plain,(
% 6.95/1.22 spl0_860),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9279])).
% 6.95/1.22 fof(f9382,plain,(
% 6.95/1.22 spl0_865 <=> identity_map(codomain(codomain(domain(b))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f9384,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(domain(b))))|spl0_865),
% 6.95/1.22 inference(component_clause,[status(thm)],[f9382])).
% 6.95/1.22 fof(f9403,plain,(
% 6.95/1.22 $false|spl0_865),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f9384,f42])).
% 6.95/1.22 fof(f9404,plain,(
% 6.95/1.22 spl0_865),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9403])).
% 6.95/1.22 fof(f9592,plain,(
% 6.95/1.22 spl0_877 <=> identity_map(codomain(codomain(codomain(h))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f9594,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(codomain(h))))|spl0_877),
% 6.95/1.22 inference(component_clause,[status(thm)],[f9592])).
% 6.95/1.22 fof(f9618,plain,(
% 6.95/1.22 $false|spl0_877),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f9594,f42])).
% 6.95/1.22 fof(f9619,plain,(
% 6.95/1.22 spl0_877),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9618])).
% 6.95/1.22 fof(f9657,plain,(
% 6.95/1.22 spl0_886 <=> identity_map(codomain(codomain(codomain(g))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f9659,plain,(
% 6.95/1.22 ~identity_map(codomain(codomain(codomain(g))))|spl0_886),
% 6.95/1.22 inference(component_clause,[status(thm)],[f9657])).
% 6.95/1.22 fof(f9683,plain,(
% 6.95/1.22 $false|spl0_886),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f9659,f42])).
% 6.95/1.22 fof(f9684,plain,(
% 6.95/1.22 spl0_886),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9683])).
% 6.95/1.22 fof(f9748,plain,(
% 6.95/1.22 $false|spl0_535),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4088,f128])).
% 6.95/1.22 fof(f9749,plain,(
% 6.95/1.22 spl0_535),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9748])).
% 6.95/1.22 fof(f9750,plain,(
% 6.95/1.22 $false|spl0_534),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4069,f84])).
% 6.95/1.22 fof(f9751,plain,(
% 6.95/1.22 spl0_534),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9750])).
% 6.95/1.22 fof(f9949,plain,(
% 6.95/1.22 spl0_898 <=> identity_map(codomain(domain(domain(b))))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f9951,plain,(
% 6.95/1.22 ~identity_map(codomain(domain(domain(b))))|spl0_898),
% 6.95/1.22 inference(component_clause,[status(thm)],[f9949])).
% 6.95/1.22 fof(f9970,plain,(
% 6.95/1.22 $false|spl0_898),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f9951,f42])).
% 6.95/1.22 fof(f9971,plain,(
% 6.95/1.22 spl0_898),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f9970])).
% 6.95/1.22 fof(f10393,plain,(
% 6.95/1.22 spl0_914 <=> defined(h,domain(h))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f10395,plain,(
% 6.95/1.22 ~defined(h,domain(h))|spl0_914),
% 6.95/1.22 inference(component_clause,[status(thm)],[f10393])).
% 6.95/1.22 fof(f10421,plain,(
% 6.95/1.22 $false|spl0_914),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f10395,f43])).
% 6.95/1.22 fof(f10422,plain,(
% 6.95/1.22 spl0_914),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f10421])).
% 6.95/1.22 fof(f10911,plain,(
% 6.95/1.22 $false|spl0_533),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f4064,f132])).
% 6.95/1.22 fof(f10912,plain,(
% 6.95/1.22 spl0_533),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f10911])).
% 6.95/1.22 fof(f12502,plain,(
% 6.95/1.22 $false|spl0_629),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5911,f81])).
% 6.95/1.22 fof(f12503,plain,(
% 6.95/1.22 spl0_629),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f12502])).
% 6.95/1.22 fof(f12557,plain,(
% 6.95/1.22 $false|spl0_631),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5935,f77])).
% 6.95/1.22 fof(f12558,plain,(
% 6.95/1.22 spl0_631),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f12557])).
% 6.95/1.22 fof(f13392,plain,(
% 6.95/1.22 $false|spl0_719),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7676,f1745])).
% 6.95/1.22 fof(f13393,plain,(
% 6.95/1.22 spl0_719),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13392])).
% 6.95/1.22 fof(f13489,plain,(
% 6.95/1.22 spl0_999 <=> identity_map(codomain(compose(g,c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f13491,plain,(
% 6.95/1.22 ~identity_map(codomain(compose(g,c)))|spl0_999),
% 6.95/1.22 inference(component_clause,[status(thm)],[f13489])).
% 6.95/1.22 fof(f13516,plain,(
% 6.95/1.22 $false|spl0_999),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f13491,f42])).
% 6.95/1.22 fof(f13517,plain,(
% 6.95/1.22 spl0_999),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13516])).
% 6.95/1.22 fof(f13578,plain,(
% 6.95/1.22 spl0_1005 <=> identity_map(domain(compose(g,c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f13580,plain,(
% 6.95/1.22 ~identity_map(domain(compose(g,c)))|spl0_1005),
% 6.95/1.22 inference(component_clause,[status(thm)],[f13578])).
% 6.95/1.22 fof(f13600,plain,(
% 6.95/1.22 $false|spl0_1005),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f13580,f41])).
% 6.95/1.22 fof(f13601,plain,(
% 6.95/1.22 spl0_1005),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13600])).
% 6.95/1.22 fof(f13636,plain,(
% 6.95/1.22 spl0_1013 <=> identity_map(codomain(compose(h,c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f13638,plain,(
% 6.95/1.22 ~identity_map(codomain(compose(h,c)))|spl0_1013),
% 6.95/1.22 inference(component_clause,[status(thm)],[f13636])).
% 6.95/1.22 fof(f13663,plain,(
% 6.95/1.22 $false|spl0_1013),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f13638,f42])).
% 6.95/1.22 fof(f13664,plain,(
% 6.95/1.22 spl0_1013),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13663])).
% 6.95/1.22 fof(f13675,plain,(
% 6.95/1.22 spl0_1019 <=> identity_map(domain(compose(h,c)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f13677,plain,(
% 6.95/1.22 ~identity_map(domain(compose(h,c)))|spl0_1019),
% 6.95/1.22 inference(component_clause,[status(thm)],[f13675])).
% 6.95/1.22 fof(f13697,plain,(
% 6.95/1.22 $false|spl0_1019),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f13677,f41])).
% 6.95/1.22 fof(f13698,plain,(
% 6.95/1.22 spl0_1019),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13697])).
% 6.95/1.22 fof(f13855,plain,(
% 6.95/1.22 $false|spl0_732),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f7816,f1769])).
% 6.95/1.22 fof(f13856,plain,(
% 6.95/1.22 spl0_732),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f13855])).
% 6.95/1.22 fof(f14626,plain,(
% 6.95/1.22 $false|spl0_633),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f5961,f205])).
% 6.95/1.22 fof(f14627,plain,(
% 6.95/1.22 spl0_633),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f14626])).
% 6.95/1.22 fof(f15025,plain,(
% 6.95/1.22 spl0_1040 <=> identity_map(codomain(compose(d,b)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f15027,plain,(
% 6.95/1.22 ~identity_map(codomain(compose(d,b)))|spl0_1040),
% 6.95/1.22 inference(component_clause,[status(thm)],[f15025])).
% 6.95/1.22 fof(f15052,plain,(
% 6.95/1.22 $false|spl0_1040),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f15027,f42])).
% 6.95/1.22 fof(f15053,plain,(
% 6.95/1.22 spl0_1040),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f15052])).
% 6.95/1.22 fof(f15119,plain,(
% 6.95/1.22 spl0_1054 <=> identity_map(domain(compose(d,b)))),
% 6.95/1.22 introduced(split_symbol_definition)).
% 6.95/1.22 fof(f15121,plain,(
% 6.95/1.22 ~identity_map(domain(compose(d,b)))|spl0_1054),
% 6.95/1.22 inference(component_clause,[status(thm)],[f15119])).
% 6.95/1.22 fof(f15141,plain,(
% 6.95/1.22 $false|spl0_1054),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f15121,f41])).
% 6.95/1.22 fof(f15142,plain,(
% 6.95/1.22 spl0_1054),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f15141])).
% 6.95/1.22 fof(f17718,plain,(
% 6.95/1.22 product(h,c,compose(d,b))|~spl0_0),
% 6.95/1.22 inference(resolution,[status(thm)],[f7282,f51])).
% 6.95/1.22 fof(f17719,plain,(
% 6.95/1.22 product(g,c,compose(d,b))|~spl0_0),
% 6.95/1.22 inference(resolution,[status(thm)],[f7283,f51])).
% 6.95/1.22 fof(f17720,plain,(
% 6.95/1.22 compose(h,c)=compose(d,b)|~spl0_0|~spl0_35),
% 6.95/1.22 inference(resolution,[status(thm)],[f17718,f5747])).
% 6.95/1.22 fof(f17760,plain,(
% 6.95/1.22 product(g,c,compose(h,c))|~spl0_35|~spl0_0),
% 6.95/1.22 inference(backward_demodulation,[status(thm)],[f17720,f17719])).
% 6.95/1.22 fof(f17803,plain,(
% 6.95/1.22 h=g|~spl0_0|~spl0_35),
% 6.95/1.22 inference(resolution,[status(thm)],[f17760,f5739])).
% 6.95/1.22 fof(f17804,plain,(
% 6.95/1.22 $false|~spl0_0|~spl0_35),
% 6.95/1.22 inference(forward_subsumption_resolution,[status(thm)],[f17803,f56])).
% 6.95/1.22 fof(f17805,plain,(
% 6.95/1.22 ~spl0_0|~spl0_35),
% 6.95/1.22 inference(contradiction_clause,[status(thm)],[f17804])).
% 6.95/1.22 fof(f17806,plain,(
% 6.95/1.22 $false),
% 6.95/1.22 inference(sat_refutation,[status(thm)],[f394,f437,f450,f463,f477,f490,f558,f579,f885,f887,f889,f891,f893,f895,f897,f899,f901,f903,f905,f907,f909,f911,f1169,f1442,f1465,f1570,f1620,f1643,f1663,f1667,f1830,f1960,f1983,f2006,f2068,f2144,f2177,f2264,f2402,f2404,f2701,f2891,f3020,f3205,f3261,f4037,f4963,f5093,f5122,f5489,f5576,f5611,f5862,f6455,f6607,f6725,f6920,f7171,f7210,f7920,f7969,f8062,f8611,f8658,f8750,f8950,f9102,f9280,f9404,f9619,f9684,f9749,f9751,f9971,f10422,f10912,f12503,f12558,f13393,f13517,f13601,f13664,f13698,f13856,f14627,f15053,f15142,f17805])).
% 6.95/1.22 % SZS output end CNFRefutation for theBenchmark.p
% 6.95/1.23 % Elapsed time: 0.943559 seconds
% 6.95/1.23 % CPU time: 7.379012 seconds
% 6.95/1.23 % Total memory used: 131.837 MB
% 6.95/1.23 % Net memory used: 123.416 MB
%------------------------------------------------------------------------------