TSTP Solution File: COM003+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:13:59 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:06:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.41 fof(f1,axiom,(
% 0.20/0.41 ( (? [X] :( algorithm(X)& (! [Y] :( program(Y)=> (! [Z] : decides(X,Y,Z) )) )))=> (? [W] :( program(W)& (! [Y] :( program(Y)=> (! [Z] : decides(W,Y,Z) )) )) )) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f2,axiom,(
% 0.20/0.41 (! [W] :( ( program(W)& (! [Y] :( program(Y)=> (! [Z] : decides(W,Y,Z) )) ))=> (! [Y,Z] :( ( ( program(Y)& halts2(Y,Z) )=> ( halts3(W,Y,Z)& outputs(W,good) ) )& ( ( program(Y)& ~ halts2(Y,Z) )=> ( halts3(W,Y,Z)& outputs(W,bad) ) ) ) )) )),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f3,axiom,(
% 0.20/0.41 ( (? [W] :( program(W)& (! [Y] :( ( ( program(Y)& halts2(Y,Y) )=> ( halts3(W,Y,Y)& outputs(W,good) ) )& ( ( program(Y)& ~ halts2(Y,Y) )=> ( halts3(W,Y,Y)& outputs(W,bad) ) ) ) )))=> (? [V] :( program(V)& (! [Y] :( ( ( program(Y)& halts2(Y,Y) )=> ( halts2(V,Y)& outputs(V,good) ) )& ( ( program(Y)& ~ halts2(Y,Y) )=> ( halts2(V,Y)& outputs(V,bad) ) ) ) )) )) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f4,axiom,(
% 0.20/0.41 ( (? [V] :( program(V)& (! [Y] :( ( ( program(Y)& halts2(Y,Y) )=> ( halts2(V,Y)& outputs(V,good) ) )& ( ( program(Y)& ~ halts2(Y,Y) )=> ( halts2(V,Y)& outputs(V,bad) ) ) ) )))=> (? [U] :( program(U)& (! [Y] :( ( ( program(Y)& halts2(Y,Y) )=> ~ halts2(U,Y) )& ( ( program(Y)& ~ halts2(Y,Y) )=> ( halts2(U,Y)& outputs(U,bad) ) ) ) )) )) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f5,conjecture,(
% 0.20/0.41 ~ (? [X1] :( algorithm(X1)& (! [Y1] :( program(Y1)=> (! [Z1] : decides(X1,Y1,Z1) )) )) )),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f6,negated_conjecture,(
% 0.20/0.41 ~(~ (? [X1] :( algorithm(X1)& (! [Y1] :( program(Y1)=> (! [Z1] : decides(X1,Y1,Z1) )) )) ))),
% 0.20/0.41 inference(negated_conjecture,[status(cth)],[f5])).
% 0.20/0.41 fof(f7,plain,(
% 0.20/0.41 (![X]: (~algorithm(X)|(?[Y]: (program(Y)&(?[Z]: ~decides(X,Y,Z))))))|(?[W]: (program(W)&(![Y]: (~program(Y)|(![Z]: decides(W,Y,Z))))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.20/0.41 fof(f8,plain,(
% 0.20/0.41 ![X,Y]: (pd0_0(Y,X)=>(program(Y)&(?[Z]: ~decides(X,Y,Z))))),
% 0.20/0.41 introduced(predicate_definition,[f7])).
% 0.20/0.41 fof(f9,plain,(
% 0.20/0.41 (![X]: (~algorithm(X)|(?[Y]: pd0_0(Y,X))))|(?[W]: (program(W)&(![Y]: (~program(Y)|(![Z]: decides(W,Y,Z))))))),
% 0.20/0.41 inference(formula_renaming,[status(thm)],[f7,f8])).
% 0.20/0.41 fof(f10,plain,(
% 0.20/0.41 (![X]: (~algorithm(X)|pd0_0(sk0_0(X),X)))|(program(sk0_1)&(![Y]: (~program(Y)|(![Z]: decides(sk0_1,Y,Z)))))),
% 0.20/0.41 inference(skolemization,[status(esa)],[f9])).
% 0.20/0.41 fof(f11,plain,(
% 0.20/0.41 ![X0]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|program(sk0_1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.41 fof(f12,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|~program(X1)|decides(sk0_1,X1,X2))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.41 fof(f13,plain,(
% 0.20/0.41 ![W]: ((~program(W)|(?[Y]: (program(Y)&(?[Z]: ~decides(W,Y,Z)))))|(![Y,Z]: (((~program(Y)|~halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,good)))&((~program(Y)|halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,bad))))))),
% 0.20/0.41 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.41 fof(f14,plain,(
% 0.20/0.41 ![W,Y]: (pd0_1(Y,W)=>(program(Y)&(?[Z]: ~decides(W,Y,Z))))),
% 0.20/0.41 introduced(predicate_definition,[f13])).
% 0.20/0.41 fof(f15,plain,(
% 0.20/0.41 ![W]: ((~program(W)|(?[Y]: pd0_1(Y,W)))|(![Y,Z]: (((~program(Y)|~halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,good)))&((~program(Y)|halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,bad))))))),
% 0.20/0.41 inference(formula_renaming,[status(thm)],[f13,f14])).
% 0.20/0.41 fof(f16,plain,(
% 0.20/0.41 ![W]: ((~program(W)|(?[Y]: pd0_1(Y,W)))|((![Y,Z]: ((~program(Y)|~halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,good))))&(![Y,Z]: ((~program(Y)|halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,bad))))))),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f15])).
% 0.20/0.41 fof(f17,plain,(
% 0.20/0.41 ![W]: ((~program(W)|pd0_1(sk0_2(W),W))|((![Y,Z]: ((~program(Y)|~halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,good))))&(![Y,Z]: ((~program(Y)|halts2(Y,Z))|(halts3(W,Y,Z)&outputs(W,bad))))))),
% 0.20/0.41 inference(skolemization,[status(esa)],[f16])).
% 0.20/0.41 fof(f18,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|~halts2(X1,X2)|halts3(X0,X1,X2))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.42 fof(f19,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|~halts2(X1,X2)|outputs(X0,good))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.42 fof(f20,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts2(X1,X2)|halts3(X0,X1,X2))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.42 fof(f21,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts2(X1,X2)|outputs(X0,bad))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.42 fof(f22,plain,(
% 0.20/0.42 (![W]: (~program(W)|(?[Y]: (((program(Y)&halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,good)))|((program(Y)&~halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,bad)))))))|(?[V]: (program(V)&(![Y]: (((~program(Y)|~halts2(Y,Y))|(halts2(V,Y)&outputs(V,good)))&((~program(Y)|halts2(Y,Y))|(halts2(V,Y)&outputs(V,bad)))))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.42 fof(f23,plain,(
% 0.20/0.42 ![W,Y]: (pd0_2(Y,W)=>(((program(Y)&halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,good)))|((program(Y)&~halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,bad)))))),
% 0.20/0.42 introduced(predicate_definition,[f22])).
% 0.20/0.42 fof(f24,plain,(
% 0.20/0.42 (![W]: (~program(W)|(?[Y]: pd0_2(Y,W))))|(?[V]: (program(V)&(![Y]: (((~program(Y)|~halts2(Y,Y))|(halts2(V,Y)&outputs(V,good)))&((~program(Y)|halts2(Y,Y))|(halts2(V,Y)&outputs(V,bad)))))))),
% 0.20/0.42 inference(formula_renaming,[status(thm)],[f22,f23])).
% 0.20/0.42 fof(f25,plain,(
% 0.20/0.42 (![W]: (~program(W)|(?[Y]: pd0_2(Y,W))))|(?[V]: (program(V)&((![Y]: ((~program(Y)|~halts2(Y,Y))|(halts2(V,Y)&outputs(V,good))))&(![Y]: ((~program(Y)|halts2(Y,Y))|(halts2(V,Y)&outputs(V,bad)))))))),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f24])).
% 0.20/0.42 fof(f26,plain,(
% 0.20/0.42 (![W]: (~program(W)|pd0_2(sk0_3(W),W)))|(program(sk0_4)&((![Y]: ((~program(Y)|~halts2(Y,Y))|(halts2(sk0_4,Y)&outputs(sk0_4,good))))&(![Y]: ((~program(Y)|halts2(Y,Y))|(halts2(sk0_4,Y)&outputs(sk0_4,bad))))))),
% 0.20/0.42 inference(skolemization,[status(esa)],[f25])).
% 0.20/0.42 fof(f27,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_2(sk0_3(X0),X0)|program(sk0_4))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.42 fof(f28,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_2(sk0_3(X0),X0)|~program(X1)|~halts2(X1,X1)|halts2(sk0_4,X1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.42 fof(f29,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_2(sk0_3(X0),X0)|~program(X1)|~halts2(X1,X1)|outputs(sk0_4,good))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.42 fof(f30,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_2(sk0_3(X0),X0)|~program(X1)|halts2(X1,X1)|halts2(sk0_4,X1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.42 fof(f31,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_2(sk0_3(X0),X0)|~program(X1)|halts2(X1,X1)|outputs(sk0_4,bad))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.42 fof(f32,plain,(
% 0.20/0.42 (![V]: (~program(V)|(?[Y]: (((program(Y)&halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,good)))|((program(Y)&~halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,bad)))))))|(?[U]: (program(U)&(![Y]: (((~program(Y)|~halts2(Y,Y))|~halts2(U,Y))&((~program(Y)|halts2(Y,Y))|(halts2(U,Y)&outputs(U,bad)))))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.42 fof(f33,plain,(
% 0.20/0.42 ![V,Y]: (pd0_3(Y,V)=>(((program(Y)&halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,good)))|((program(Y)&~halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,bad)))))),
% 0.20/0.42 introduced(predicate_definition,[f32])).
% 0.20/0.42 fof(f34,plain,(
% 0.20/0.42 (![V]: (~program(V)|(?[Y]: pd0_3(Y,V))))|(?[U]: (program(U)&(![Y]: (((~program(Y)|~halts2(Y,Y))|~halts2(U,Y))&((~program(Y)|halts2(Y,Y))|(halts2(U,Y)&outputs(U,bad)))))))),
% 0.20/0.42 inference(formula_renaming,[status(thm)],[f32,f33])).
% 0.20/0.42 fof(f35,plain,(
% 0.20/0.42 (![V]: (~program(V)|(?[Y]: pd0_3(Y,V))))|(?[U]: (program(U)&((![Y]: ((~program(Y)|~halts2(Y,Y))|~halts2(U,Y)))&(![Y]: ((~program(Y)|halts2(Y,Y))|(halts2(U,Y)&outputs(U,bad)))))))),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f34])).
% 0.20/0.42 fof(f36,plain,(
% 0.20/0.42 (![V]: (~program(V)|pd0_3(sk0_5(V),V)))|(program(sk0_6)&((![Y]: ((~program(Y)|~halts2(Y,Y))|~halts2(sk0_6,Y)))&(![Y]: ((~program(Y)|halts2(Y,Y))|(halts2(sk0_6,Y)&outputs(sk0_6,bad))))))),
% 0.20/0.42 inference(skolemization,[status(esa)],[f35])).
% 0.20/0.42 fof(f37,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_3(sk0_5(X0),X0)|program(sk0_6))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.42 fof(f38,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_3(sk0_5(X0),X0)|~program(X1)|~halts2(X1,X1)|~halts2(sk0_6,X1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.42 fof(f39,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|pd0_3(sk0_5(X0),X0)|~program(X1)|halts2(X1,X1)|halts2(sk0_6,X1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.42 fof(f41,plain,(
% 0.20/0.42 ?[X1]: (algorithm(X1)&(![Y1]: (~program(Y1)|(![Z1]: decides(X1,Y1,Z1)))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.42 fof(f42,plain,(
% 0.20/0.42 (algorithm(sk0_7)&(![Y1]: (~program(Y1)|(![Z1]: decides(sk0_7,Y1,Z1)))))),
% 0.20/0.42 inference(skolemization,[status(esa)],[f41])).
% 0.20/0.42 fof(f43,plain,(
% 0.20/0.42 algorithm(sk0_7)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.42 fof(f44,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|decides(sk0_7,X0,X1))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.42 fof(f45,plain,(
% 0.20/0.42 ![X,Y]: (~pd0_0(Y,X)|(program(Y)&(?[Z]: ~decides(X,Y,Z))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.42 fof(f46,plain,(
% 0.20/0.42 ![X,Y]: (~pd0_0(Y,X)|(program(Y)&~decides(X,Y,sk0_8(Y,X))))),
% 0.20/0.42 inference(skolemization,[status(esa)],[f45])).
% 0.20/0.42 fof(f47,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_0(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f46])).
% 0.20/0.42 fof(f48,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_0(X0,X1)|~decides(X1,X0,sk0_8(X0,X1)))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f46])).
% 0.20/0.42 fof(f49,plain,(
% 0.20/0.42 ![W,Y]: (~pd0_1(Y,W)|(program(Y)&(?[Z]: ~decides(W,Y,Z))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.20/0.42 fof(f50,plain,(
% 0.20/0.42 ![W,Y]: (~pd0_1(Y,W)|(program(Y)&~decides(W,Y,sk0_9(Y,W))))),
% 0.20/0.42 inference(skolemization,[status(esa)],[f49])).
% 0.20/0.42 fof(f51,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_1(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f50])).
% 0.20/0.42 fof(f52,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_1(X0,X1)|~decides(X1,X0,sk0_9(X0,X1)))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f50])).
% 0.20/0.42 fof(f53,plain,(
% 0.20/0.42 ![W,Y]: (~pd0_2(Y,W)|(((program(Y)&halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,good)))|((program(Y)&~halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,bad)))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.20/0.42 fof(f54,plain,(
% 0.20/0.42 ![W,Y]: (pd0_4(Y,W)=>((program(Y)&halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,good))))),
% 0.20/0.42 introduced(predicate_definition,[f53])).
% 0.20/0.42 fof(f55,plain,(
% 0.20/0.42 ![W,Y]: (~pd0_2(Y,W)|(pd0_4(Y,W)|((program(Y)&~halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,bad)))))),
% 0.20/0.42 inference(formula_renaming,[status(thm)],[f53,f54])).
% 0.20/0.42 fof(f56,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_2(X0,X1)|pd0_4(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.42 fof(f57,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_2(X0,X1)|pd0_4(X0,X1)|~halts2(X0,X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.42 fof(f58,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_2(X0,X1)|pd0_4(X0,X1)|~halts3(X1,X0,X0)|~outputs(X1,bad))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.42 fof(f59,plain,(
% 0.20/0.42 ![V,Y]: (~pd0_3(Y,V)|(((program(Y)&halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,good)))|((program(Y)&~halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,bad)))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.20/0.42 fof(f60,plain,(
% 0.20/0.42 ![V,Y]: (pd0_5(Y,V)=>((program(Y)&halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,good))))),
% 0.20/0.42 introduced(predicate_definition,[f59])).
% 0.20/0.42 fof(f61,plain,(
% 0.20/0.42 ![V,Y]: (~pd0_3(Y,V)|(pd0_5(Y,V)|((program(Y)&~halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,bad)))))),
% 0.20/0.42 inference(formula_renaming,[status(thm)],[f59,f60])).
% 0.20/0.42 fof(f62,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_3(X0,X1)|pd0_5(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.42 fof(f63,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_3(X0,X1)|pd0_5(X0,X1)|~halts2(X0,X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.42 fof(f64,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_3(X0,X1)|pd0_5(X0,X1)|~halts2(X1,X0)|~outputs(X1,bad))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.42 fof(f65,plain,(
% 0.20/0.42 ![W,Y]: (~pd0_4(Y,W)|((program(Y)&halts2(Y,Y))&(~halts3(W,Y,Y)|~outputs(W,good))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.20/0.42 fof(f66,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_4(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f65])).
% 0.20/0.42 fof(f67,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_4(X0,X1)|halts2(X0,X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f65])).
% 0.20/0.42 fof(f68,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_4(X0,X1)|~halts3(X1,X0,X0)|~outputs(X1,good))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f65])).
% 0.20/0.42 fof(f69,plain,(
% 0.20/0.42 ![V,Y]: (~pd0_5(Y,V)|((program(Y)&halts2(Y,Y))&(~halts2(V,Y)|~outputs(V,good))))),
% 0.20/0.42 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.20/0.42 fof(f70,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_5(X0,X1)|program(X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f69])).
% 0.20/0.42 fof(f71,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_5(X0,X1)|halts2(X0,X0))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f69])).
% 0.20/0.42 fof(f72,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_5(X0,X1)|~halts2(X1,X0)|~outputs(X1,good))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f69])).
% 0.20/0.42 fof(f73,plain,(
% 0.20/0.42 spl0_0 <=> ~algorithm(X0)|pd0_0(sk0_0(X0),X0)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f74,plain,(
% 0.20/0.42 ![X0]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|~spl0_0)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.42 fof(f76,plain,(
% 0.20/0.42 spl0_1 <=> program(sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f77,plain,(
% 0.20/0.42 program(sk0_1)|~spl0_1),
% 0.20/0.42 inference(component_clause,[status(thm)],[f76])).
% 0.20/0.42 fof(f79,plain,(
% 0.20/0.42 spl0_0|spl0_1),
% 0.20/0.42 inference(split_clause,[status(thm)],[f11,f73,f76])).
% 0.20/0.42 fof(f80,plain,(
% 0.20/0.42 spl0_2 <=> ~program(X1)|decides(sk0_1,X1,X2)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f81,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|decides(sk0_1,X0,X1)|~spl0_2)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f80])).
% 0.20/0.42 fof(f83,plain,(
% 0.20/0.42 spl0_0|spl0_2),
% 0.20/0.42 inference(split_clause,[status(thm)],[f12,f73,f80])).
% 0.20/0.42 fof(f84,plain,(
% 0.20/0.42 spl0_3 <=> ~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,good)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f85,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,good)|~spl0_3)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f84])).
% 0.20/0.42 fof(f87,plain,(
% 0.20/0.42 spl0_4 <=> ~program(X1)|~halts2(X1,X2)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f88,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|~halts2(X0,X1)|~spl0_4)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f87])).
% 0.20/0.42 fof(f90,plain,(
% 0.20/0.42 spl0_3|spl0_4),
% 0.20/0.42 inference(split_clause,[status(thm)],[f19,f84,f87])).
% 0.20/0.42 fof(f91,plain,(
% 0.20/0.42 spl0_5 <=> ~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,bad)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f92,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,bad)|~spl0_5)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f91])).
% 0.20/0.42 fof(f94,plain,(
% 0.20/0.42 spl0_6 <=> ~program(X1)|halts2(X1,X2)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f95,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|halts2(X0,X1)|~spl0_6)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f94])).
% 0.20/0.42 fof(f97,plain,(
% 0.20/0.42 spl0_5|spl0_6),
% 0.20/0.42 inference(split_clause,[status(thm)],[f21,f91,f94])).
% 0.20/0.42 fof(f98,plain,(
% 0.20/0.42 spl0_7 <=> ~program(X0)|pd0_2(sk0_3(X0),X0)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f99,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_2(sk0_3(X0),X0)|~spl0_7)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f98])).
% 0.20/0.42 fof(f101,plain,(
% 0.20/0.42 spl0_8 <=> program(sk0_4)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f102,plain,(
% 0.20/0.42 program(sk0_4)|~spl0_8),
% 0.20/0.42 inference(component_clause,[status(thm)],[f101])).
% 0.20/0.42 fof(f104,plain,(
% 0.20/0.42 spl0_7|spl0_8),
% 0.20/0.42 inference(split_clause,[status(thm)],[f27,f98,f101])).
% 0.20/0.42 fof(f105,plain,(
% 0.20/0.42 spl0_9 <=> ~program(X1)|~halts2(X1,X1)|halts2(sk0_4,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f106,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|~halts2(X0,X0)|halts2(sk0_4,X0)|~spl0_9)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f105])).
% 0.20/0.42 fof(f108,plain,(
% 0.20/0.42 spl0_7|spl0_9),
% 0.20/0.42 inference(split_clause,[status(thm)],[f28,f98,f105])).
% 0.20/0.42 fof(f109,plain,(
% 0.20/0.42 spl0_10 <=> ~program(X1)|~halts2(X1,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f110,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|~halts2(X0,X0)|~spl0_10)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f109])).
% 0.20/0.42 fof(f112,plain,(
% 0.20/0.42 spl0_11 <=> outputs(sk0_4,good)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f113,plain,(
% 0.20/0.42 outputs(sk0_4,good)|~spl0_11),
% 0.20/0.42 inference(component_clause,[status(thm)],[f112])).
% 0.20/0.42 fof(f115,plain,(
% 0.20/0.42 spl0_7|spl0_10|spl0_11),
% 0.20/0.42 inference(split_clause,[status(thm)],[f29,f98,f109,f112])).
% 0.20/0.42 fof(f116,plain,(
% 0.20/0.42 spl0_12 <=> ~program(X1)|halts2(X1,X1)|halts2(sk0_4,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f117,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|halts2(X0,X0)|halts2(sk0_4,X0)|~spl0_12)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f116])).
% 0.20/0.42 fof(f119,plain,(
% 0.20/0.42 spl0_7|spl0_12),
% 0.20/0.42 inference(split_clause,[status(thm)],[f30,f98,f116])).
% 0.20/0.42 fof(f120,plain,(
% 0.20/0.42 spl0_13 <=> ~program(X1)|halts2(X1,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f121,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|halts2(X0,X0)|~spl0_13)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f120])).
% 0.20/0.42 fof(f123,plain,(
% 0.20/0.42 spl0_14 <=> outputs(sk0_4,bad)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f124,plain,(
% 0.20/0.42 outputs(sk0_4,bad)|~spl0_14),
% 0.20/0.42 inference(component_clause,[status(thm)],[f123])).
% 0.20/0.42 fof(f125,plain,(
% 0.20/0.42 ~outputs(sk0_4,bad)|spl0_14),
% 0.20/0.42 inference(component_clause,[status(thm)],[f123])).
% 0.20/0.42 fof(f126,plain,(
% 0.20/0.42 spl0_7|spl0_13|spl0_14),
% 0.20/0.42 inference(split_clause,[status(thm)],[f31,f98,f120,f123])).
% 0.20/0.42 fof(f127,plain,(
% 0.20/0.42 spl0_15 <=> ~program(X0)|pd0_3(sk0_5(X0),X0)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f128,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_3(sk0_5(X0),X0)|~spl0_15)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f127])).
% 0.20/0.42 fof(f130,plain,(
% 0.20/0.42 spl0_16 <=> program(sk0_6)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f131,plain,(
% 0.20/0.42 program(sk0_6)|~spl0_16),
% 0.20/0.42 inference(component_clause,[status(thm)],[f130])).
% 0.20/0.42 fof(f133,plain,(
% 0.20/0.42 spl0_15|spl0_16),
% 0.20/0.42 inference(split_clause,[status(thm)],[f37,f127,f130])).
% 0.20/0.42 fof(f134,plain,(
% 0.20/0.42 spl0_17 <=> ~program(X1)|~halts2(X1,X1)|~halts2(sk0_6,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f135,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|~halts2(X0,X0)|~halts2(sk0_6,X0)|~spl0_17)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f134])).
% 0.20/0.42 fof(f137,plain,(
% 0.20/0.42 spl0_15|spl0_17),
% 0.20/0.42 inference(split_clause,[status(thm)],[f38,f127,f134])).
% 0.20/0.42 fof(f138,plain,(
% 0.20/0.42 spl0_18 <=> ~program(X1)|halts2(X1,X1)|halts2(sk0_6,X1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f139,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|halts2(X0,X0)|halts2(sk0_6,X0)|~spl0_18)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f138])).
% 0.20/0.42 fof(f141,plain,(
% 0.20/0.42 spl0_15|spl0_18),
% 0.20/0.42 inference(split_clause,[status(thm)],[f39,f127,f138])).
% 0.20/0.42 fof(f146,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_2(X0,X1)|program(X0))),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f56,f66])).
% 0.20/0.42 fof(f147,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_3(X0,X1)|program(X0))),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f62,f70])).
% 0.20/0.42 fof(f148,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts3(X0,X1,X2))),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f20,f18])).
% 0.20/0.42 fof(f149,plain,(
% 0.20/0.42 pd0_0(sk0_0(sk0_7),sk0_7)|~spl0_0),
% 0.20/0.42 inference(resolution,[status(thm)],[f74,f43])).
% 0.20/0.42 fof(f150,plain,(
% 0.20/0.42 ~decides(sk0_7,sk0_0(sk0_7),sk0_8(sk0_0(sk0_7),sk0_7))|~spl0_0),
% 0.20/0.42 inference(resolution,[status(thm)],[f149,f48])).
% 0.20/0.42 fof(f151,plain,(
% 0.20/0.42 program(sk0_0(sk0_7))|~spl0_0),
% 0.20/0.42 inference(resolution,[status(thm)],[f149,f47])).
% 0.20/0.42 fof(f155,plain,(
% 0.20/0.42 ![X0]: (decides(sk0_7,sk0_0(sk0_7),X0)|~spl0_0)),
% 0.20/0.42 inference(resolution,[status(thm)],[f151,f44])).
% 0.20/0.42 fof(f182,plain,(
% 0.20/0.42 pd0_3(sk0_5(sk0_1),sk0_1)|~spl0_1|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f77,f128])).
% 0.20/0.42 fof(f183,plain,(
% 0.20/0.42 pd0_2(sk0_3(sk0_1),sk0_1)|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f77,f99])).
% 0.20/0.42 fof(f186,plain,(
% 0.20/0.42 spl0_24 <=> pd0_5(sk0_5(sk0_1),sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f187,plain,(
% 0.20/0.42 pd0_5(sk0_5(sk0_1),sk0_1)|~spl0_24),
% 0.20/0.42 inference(component_clause,[status(thm)],[f186])).
% 0.20/0.42 fof(f189,plain,(
% 0.20/0.42 spl0_25 <=> halts2(sk0_5(sk0_1),sk0_5(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f190,plain,(
% 0.20/0.42 halts2(sk0_5(sk0_1),sk0_5(sk0_1))|~spl0_25),
% 0.20/0.42 inference(component_clause,[status(thm)],[f189])).
% 0.20/0.42 fof(f191,plain,(
% 0.20/0.42 ~halts2(sk0_5(sk0_1),sk0_5(sk0_1))|spl0_25),
% 0.20/0.42 inference(component_clause,[status(thm)],[f189])).
% 0.20/0.42 fof(f192,plain,(
% 0.20/0.42 pd0_5(sk0_5(sk0_1),sk0_1)|~halts2(sk0_5(sk0_1),sk0_5(sk0_1))|~spl0_1|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f182,f63])).
% 0.20/0.42 fof(f193,plain,(
% 0.20/0.42 spl0_24|~spl0_25|~spl0_1|~spl0_15),
% 0.20/0.42 inference(split_clause,[status(thm)],[f192,f186,f189,f76,f127])).
% 0.20/0.42 fof(f194,plain,(
% 0.20/0.42 program(sk0_5(sk0_1))|~spl0_1|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f182,f147])).
% 0.20/0.42 fof(f209,plain,(
% 0.20/0.42 $false|~spl0_0),
% 0.20/0.42 inference(backward_subsumption_resolution,[status(thm)],[f150,f155])).
% 0.20/0.42 fof(f210,plain,(
% 0.20/0.42 ~spl0_0),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f209])).
% 0.20/0.42 fof(f219,plain,(
% 0.20/0.42 spl0_26 <=> pd0_4(sk0_3(sk0_1),sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f220,plain,(
% 0.20/0.42 pd0_4(sk0_3(sk0_1),sk0_1)|~spl0_26),
% 0.20/0.42 inference(component_clause,[status(thm)],[f219])).
% 0.20/0.42 fof(f222,plain,(
% 0.20/0.42 spl0_27 <=> halts2(sk0_3(sk0_1),sk0_3(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f224,plain,(
% 0.20/0.42 ~halts2(sk0_3(sk0_1),sk0_3(sk0_1))|spl0_27),
% 0.20/0.42 inference(component_clause,[status(thm)],[f222])).
% 0.20/0.42 fof(f227,plain,(
% 0.20/0.42 program(sk0_3(sk0_1))|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f183,f146])).
% 0.20/0.42 fof(f229,plain,(
% 0.20/0.42 pd0_2(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_1))|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f227,f99])).
% 0.20/0.42 fof(f232,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|outputs(X0,bad)|~decides(X0,sk0_2(X0),sk0_9(sk0_2(X0),X0))|~spl0_5)),
% 0.20/0.42 inference(resolution,[status(thm)],[f92,f52])).
% 0.20/0.42 fof(f239,plain,(
% 0.20/0.42 ![X0]: (~pd0_5(sk0_5(sk0_1),X0)|spl0_25)),
% 0.20/0.42 inference(resolution,[status(thm)],[f191,f71])).
% 0.20/0.42 fof(f242,plain,(
% 0.20/0.42 ![X0]: (~pd0_4(sk0_3(sk0_1),X0)|spl0_27)),
% 0.20/0.42 inference(resolution,[status(thm)],[f224,f67])).
% 0.20/0.42 fof(f271,plain,(
% 0.20/0.42 spl0_32 <=> halts2(sk0_6,sk0_6)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f273,plain,(
% 0.20/0.42 ~halts2(sk0_6,sk0_6)|spl0_32),
% 0.20/0.42 inference(component_clause,[status(thm)],[f271])).
% 0.20/0.42 fof(f286,plain,(
% 0.20/0.42 ~program(sk0_6)|halts2(sk0_6,sk0_6)|spl0_32|~spl0_18),
% 0.20/0.42 inference(resolution,[status(thm)],[f273,f139])).
% 0.20/0.42 fof(f287,plain,(
% 0.20/0.42 ~spl0_16|spl0_32|~spl0_18),
% 0.20/0.42 inference(split_clause,[status(thm)],[f286,f130,f271,f138])).
% 0.20/0.42 fof(f290,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_5(sk0_5(X0),X0)|~halts2(sk0_5(X0),sk0_5(X0))|~spl0_15)),
% 0.20/0.42 inference(resolution,[status(thm)],[f128,f63])).
% 0.20/0.42 fof(f291,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|program(sk0_5(X0))|~spl0_15)),
% 0.20/0.42 inference(resolution,[status(thm)],[f128,f147])).
% 0.20/0.42 fof(f304,plain,(
% 0.20/0.42 $false|spl0_25|~spl0_24),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f187,f239])).
% 0.20/0.42 fof(f305,plain,(
% 0.20/0.42 spl0_25|~spl0_24),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f304])).
% 0.20/0.42 fof(f314,plain,(
% 0.20/0.42 ![X0]: (~pd0_3(X0,sk0_4)|pd0_5(X0,sk0_4)|~halts2(sk0_4,X0)|~spl0_14)),
% 0.20/0.42 inference(resolution,[status(thm)],[f124,f64])).
% 0.20/0.42 fof(f317,plain,(
% 0.20/0.42 ![X0]: (~pd0_5(X0,sk0_4)|~halts2(sk0_4,X0)|~spl0_11)),
% 0.20/0.42 inference(resolution,[status(thm)],[f113,f72])).
% 0.20/0.42 fof(f318,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_4)|~spl0_10|~spl0_8),
% 0.20/0.42 inference(resolution,[status(thm)],[f110,f102])).
% 0.20/0.42 fof(f330,plain,(
% 0.20/0.42 ![X0]: (~pd0_3(X0,sk0_4)|~halts2(sk0_4,X0)|~spl0_11|~spl0_14)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f314,f317])).
% 0.20/0.42 fof(f338,plain,(
% 0.20/0.42 spl0_37 <=> halts2(sk0_4,sk0_4)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f339,plain,(
% 0.20/0.42 halts2(sk0_4,sk0_4)|~spl0_37),
% 0.20/0.42 inference(component_clause,[status(thm)],[f338])).
% 0.20/0.42 fof(f340,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_4)|spl0_37),
% 0.20/0.42 inference(component_clause,[status(thm)],[f338])).
% 0.20/0.42 fof(f341,plain,(
% 0.20/0.42 spl0_38 <=> halts2(sk0_6,sk0_4)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f344,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_4)|~halts2(sk0_6,sk0_4)|~spl0_17|~spl0_8),
% 0.20/0.42 inference(resolution,[status(thm)],[f135,f102])).
% 0.20/0.42 fof(f345,plain,(
% 0.20/0.42 ~spl0_37|~spl0_38|~spl0_17|~spl0_8),
% 0.20/0.42 inference(split_clause,[status(thm)],[f344,f338,f341,f134,f101])).
% 0.20/0.42 fof(f346,plain,(
% 0.20/0.42 ~halts2(sk0_6,sk0_6)|~halts2(sk0_6,sk0_6)|~spl0_17|~spl0_16),
% 0.20/0.42 inference(resolution,[status(thm)],[f135,f131])).
% 0.20/0.42 fof(f347,plain,(
% 0.20/0.42 ~spl0_32|~spl0_17|~spl0_16),
% 0.20/0.42 inference(split_clause,[status(thm)],[f346,f271,f134,f130])).
% 0.20/0.42 fof(f348,plain,(
% 0.20/0.42 spl0_39 <=> halts2(sk0_1,sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f350,plain,(
% 0.20/0.42 ~halts2(sk0_1,sk0_1)|spl0_39),
% 0.20/0.42 inference(component_clause,[status(thm)],[f348])).
% 0.20/0.42 fof(f351,plain,(
% 0.20/0.42 spl0_40 <=> halts2(sk0_6,sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f354,plain,(
% 0.20/0.42 ~halts2(sk0_1,sk0_1)|~halts2(sk0_6,sk0_1)|~spl0_17|~spl0_1),
% 0.20/0.42 inference(resolution,[status(thm)],[f135,f77])).
% 0.20/0.42 fof(f355,plain,(
% 0.20/0.42 ~spl0_39|~spl0_40|~spl0_17|~spl0_1),
% 0.20/0.42 inference(split_clause,[status(thm)],[f354,f348,f351,f134,f76])).
% 0.20/0.42 fof(f358,plain,(
% 0.20/0.42 ~program(sk0_4)|halts2(sk0_4,sk0_4)|spl0_37|~spl0_12),
% 0.20/0.42 inference(resolution,[status(thm)],[f340,f117])).
% 0.20/0.42 fof(f359,plain,(
% 0.20/0.42 ~spl0_8|spl0_37|~spl0_12),
% 0.20/0.42 inference(split_clause,[status(thm)],[f358,f101,f338,f116])).
% 0.20/0.42 fof(f369,plain,(
% 0.20/0.42 ![X0]: (halts2(sk0_3(sk0_1),X0)|~spl0_6|~spl0_1|~spl0_7)),
% 0.20/0.42 inference(resolution,[status(thm)],[f95,f227])).
% 0.20/0.42 fof(f370,plain,(
% 0.20/0.42 ![X0]: (halts2(sk0_5(sk0_1),X0)|~spl0_6|~spl0_1|~spl0_15)),
% 0.20/0.42 inference(resolution,[status(thm)],[f95,f194])).
% 0.20/0.42 fof(f372,plain,(
% 0.20/0.42 ![X0]: (halts2(sk0_1,X0)|~spl0_6|~spl0_1)),
% 0.20/0.42 inference(resolution,[status(thm)],[f95,f77])).
% 0.20/0.42 fof(f374,plain,(
% 0.20/0.42 $false|~spl0_6|~spl0_1|spl0_39),
% 0.20/0.42 inference(backward_subsumption_resolution,[status(thm)],[f350,f372])).
% 0.20/0.42 fof(f375,plain,(
% 0.20/0.42 ~spl0_6|~spl0_1|spl0_39),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f374])).
% 0.20/0.42 fof(f376,plain,(
% 0.20/0.42 ![X0]: (~halts2(sk0_3(sk0_1),X0)|~spl0_4|~spl0_1|~spl0_7)),
% 0.20/0.42 inference(resolution,[status(thm)],[f88,f227])).
% 0.20/0.42 fof(f378,plain,(
% 0.20/0.42 ![X0]: (~halts2(sk0_4,X0)|~spl0_4|~spl0_8)),
% 0.20/0.42 inference(resolution,[status(thm)],[f88,f102])).
% 0.20/0.42 fof(f380,plain,(
% 0.20/0.42 $false|~spl0_4|~spl0_8|~spl0_37),
% 0.20/0.42 inference(backward_subsumption_resolution,[status(thm)],[f339,f378])).
% 0.20/0.42 fof(f381,plain,(
% 0.20/0.42 ~spl0_4|~spl0_8|~spl0_37),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f380])).
% 0.20/0.42 fof(f399,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_4(sk0_3(X0),X0)|~halts2(sk0_3(X0),sk0_3(X0))|~spl0_7)),
% 0.20/0.42 inference(resolution,[status(thm)],[f99,f57])).
% 0.20/0.42 fof(f400,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|program(sk0_3(X0))|~spl0_7)),
% 0.20/0.42 inference(resolution,[status(thm)],[f99,f146])).
% 0.20/0.42 fof(f401,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~program(X0)|~program(X1)|pd0_1(sk0_2(X1),X1)|halts3(X1,sk0_3(X0),X2)|~spl0_7)),
% 0.20/0.42 inference(resolution,[status(thm)],[f400,f148])).
% 0.20/0.42 fof(f431,plain,(
% 0.20/0.42 spl0_43 <=> halts2(sk0_4,sk0_5(sk0_4))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f433,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_5(sk0_4))|spl0_43),
% 0.20/0.42 inference(component_clause,[status(thm)],[f431])).
% 0.20/0.42 fof(f434,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_5(sk0_4))|~program(sk0_4)|~spl0_11|~spl0_14|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f330,f128])).
% 0.20/0.42 fof(f435,plain,(
% 0.20/0.42 ~spl0_43|~spl0_8|~spl0_11|~spl0_14|~spl0_15),
% 0.20/0.42 inference(split_clause,[status(thm)],[f434,f431,f101,f112,f123,f127])).
% 0.20/0.42 fof(f436,plain,(
% 0.20/0.42 spl0_44 <=> program(sk0_5(sk0_4))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f438,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_4))|spl0_44),
% 0.20/0.42 inference(component_clause,[status(thm)],[f436])).
% 0.20/0.42 fof(f439,plain,(
% 0.20/0.42 spl0_45 <=> halts2(sk0_5(sk0_4),sk0_5(sk0_4))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f441,plain,(
% 0.20/0.42 ~halts2(sk0_5(sk0_4),sk0_5(sk0_4))|spl0_45),
% 0.20/0.42 inference(component_clause,[status(thm)],[f439])).
% 0.20/0.42 fof(f442,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_4))|~halts2(sk0_5(sk0_4),sk0_5(sk0_4))|spl0_43|~spl0_9),
% 0.20/0.42 inference(resolution,[status(thm)],[f433,f106])).
% 0.20/0.42 fof(f443,plain,(
% 0.20/0.42 ~spl0_44|~spl0_45|spl0_43|~spl0_9),
% 0.20/0.42 inference(split_clause,[status(thm)],[f442,f436,f439,f431,f105])).
% 0.20/0.42 fof(f449,plain,(
% 0.20/0.42 spl0_46 <=> pd0_4(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f452,plain,(
% 0.20/0.42 spl0_47 <=> halts2(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_3(sk0_1)))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f454,plain,(
% 0.20/0.42 ~halts2(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_3(sk0_1)))|spl0_47),
% 0.20/0.42 inference(component_clause,[status(thm)],[f452])).
% 0.20/0.42 fof(f455,plain,(
% 0.20/0.42 pd0_4(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_1))|~halts2(sk0_3(sk0_3(sk0_1)),sk0_3(sk0_3(sk0_1)))|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f229,f57])).
% 0.20/0.42 fof(f456,plain,(
% 0.20/0.42 spl0_46|~spl0_47|~spl0_1|~spl0_7),
% 0.20/0.42 inference(split_clause,[status(thm)],[f455,f449,f452,f76,f98])).
% 0.20/0.42 fof(f457,plain,(
% 0.20/0.42 program(sk0_3(sk0_3(sk0_1)))|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f229,f146])).
% 0.20/0.42 fof(f460,plain,(
% 0.20/0.42 spl0_48 <=> outputs(sk0_1,bad)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f461,plain,(
% 0.20/0.42 outputs(sk0_1,bad)|~spl0_48),
% 0.20/0.42 inference(component_clause,[status(thm)],[f460])).
% 0.20/0.42 fof(f469,plain,(
% 0.20/0.42 ![X0]: (~pd0_2(X0,sk0_1)|pd0_4(X0,sk0_1)|~halts3(sk0_1,X0,X0)|~spl0_48)),
% 0.20/0.42 inference(resolution,[status(thm)],[f461,f58])).
% 0.20/0.42 fof(f482,plain,(
% 0.20/0.42 spl0_50 <=> outputs(sk0_1,good)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f483,plain,(
% 0.20/0.42 outputs(sk0_1,good)|~spl0_50),
% 0.20/0.42 inference(component_clause,[status(thm)],[f482])).
% 0.20/0.42 fof(f484,plain,(
% 0.20/0.42 ~outputs(sk0_1,good)|spl0_50),
% 0.20/0.42 inference(component_clause,[status(thm)],[f482])).
% 0.20/0.42 fof(f494,plain,(
% 0.20/0.42 ![X0]: (~pd0_4(X0,sk0_1)|~halts3(sk0_1,X0,X0)|~spl0_50)),
% 0.20/0.42 inference(resolution,[status(thm)],[f483,f68])).
% 0.20/0.42 fof(f495,plain,(
% 0.20/0.42 ![X0]: (~pd0_5(X0,sk0_1)|~halts2(sk0_1,X0)|~spl0_50)),
% 0.20/0.42 inference(resolution,[status(thm)],[f483,f72])).
% 0.20/0.42 fof(f498,plain,(
% 0.20/0.42 ~spl0_37|~spl0_10|~spl0_8),
% 0.20/0.42 inference(split_clause,[status(thm)],[f318,f338,f109,f101])).
% 0.20/0.42 fof(f503,plain,(
% 0.20/0.42 ~program(sk0_4)|spl0_44|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f438,f291])).
% 0.20/0.42 fof(f504,plain,(
% 0.20/0.42 ~spl0_8|spl0_44|~spl0_15),
% 0.20/0.42 inference(split_clause,[status(thm)],[f503,f101,f436,f127])).
% 0.20/0.42 fof(f505,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_1))|~spl0_13|spl0_25),
% 0.20/0.42 inference(resolution,[status(thm)],[f121,f191])).
% 0.20/0.42 fof(f506,plain,(
% 0.20/0.42 $false|~spl0_1|~spl0_15|~spl0_13|spl0_25),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f505,f194])).
% 0.20/0.42 fof(f507,plain,(
% 0.20/0.42 ~spl0_1|~spl0_15|~spl0_13|spl0_25),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f506])).
% 0.20/0.42 fof(f543,plain,(
% 0.20/0.42 spl0_53 <=> program(sk0_5(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f545,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_1))|spl0_53),
% 0.20/0.42 inference(component_clause,[status(thm)],[f543])).
% 0.20/0.42 fof(f548,plain,(
% 0.20/0.42 $false|~spl0_1|~spl0_15|spl0_53),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f545,f194])).
% 0.20/0.42 fof(f549,plain,(
% 0.20/0.42 ~spl0_1|~spl0_15|spl0_53),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f548])).
% 0.20/0.42 fof(f565,plain,(
% 0.20/0.42 spl0_56 <=> ~pd0_3(X0,sk0_1)|pd0_5(X0,sk0_1)|~halts2(sk0_1,X0)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f566,plain,(
% 0.20/0.42 ![X0]: (~pd0_3(X0,sk0_1)|pd0_5(X0,sk0_1)|~halts2(sk0_1,X0)|~spl0_56)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f565])).
% 0.20/0.42 fof(f588,plain,(
% 0.20/0.42 spl0_61 <=> halts2(sk0_1,sk0_5(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f590,plain,(
% 0.20/0.42 ~halts2(sk0_1,sk0_5(sk0_1))|spl0_61),
% 0.20/0.42 inference(component_clause,[status(thm)],[f588])).
% 0.20/0.42 fof(f599,plain,(
% 0.20/0.42 ![X0]: (~pd0_4(X0,sk0_1)|~halts3(sk0_1,X0,X0)|~spl0_50)),
% 0.20/0.42 inference(resolution,[status(thm)],[f483,f68])).
% 0.20/0.42 fof(f610,plain,(
% 0.20/0.42 ![X0]: (~pd0_3(X0,sk0_1)|~halts2(sk0_1,X0)|~spl0_50|~spl0_56)),
% 0.20/0.42 inference(backward_subsumption_resolution,[status(thm)],[f566,f495])).
% 0.20/0.42 fof(f611,plain,(
% 0.20/0.42 ~halts2(sk0_1,sk0_5(sk0_1))|~program(sk0_1)|~spl0_50|~spl0_56|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f610,f128])).
% 0.20/0.42 fof(f612,plain,(
% 0.20/0.42 ~spl0_61|~spl0_1|~spl0_50|~spl0_56|~spl0_15),
% 0.20/0.42 inference(split_clause,[status(thm)],[f611,f588,f76,f482,f565,f127])).
% 0.20/0.42 fof(f614,plain,(
% 0.20/0.42 spl0_63 <=> halts3(sk0_1,sk0_3(sk0_1),sk0_3(sk0_1))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f616,plain,(
% 0.20/0.42 ~halts3(sk0_1,sk0_3(sk0_1),sk0_3(sk0_1))|spl0_63),
% 0.20/0.42 inference(component_clause,[status(thm)],[f614])).
% 0.20/0.42 fof(f617,plain,(
% 0.20/0.42 ~halts3(sk0_1,sk0_3(sk0_1),sk0_3(sk0_1))|~program(sk0_1)|~halts2(sk0_3(sk0_1),sk0_3(sk0_1))|~spl0_50|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f494,f399])).
% 0.20/0.42 fof(f618,plain,(
% 0.20/0.42 ~spl0_63|~spl0_1|~spl0_27|~spl0_50|~spl0_7),
% 0.20/0.42 inference(split_clause,[status(thm)],[f617,f614,f76,f222,f482,f98])).
% 0.20/0.42 fof(f624,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_1))|~spl0_4|~spl0_25),
% 0.20/0.42 inference(resolution,[status(thm)],[f88,f190])).
% 0.20/0.42 fof(f625,plain,(
% 0.20/0.42 ~spl0_53|~spl0_4|~spl0_25),
% 0.20/0.42 inference(split_clause,[status(thm)],[f624,f543,f87,f189])).
% 0.20/0.42 fof(f663,plain,(
% 0.20/0.42 ![X0]: (~pd0_2(X0,sk0_1)|~halts3(sk0_1,X0,X0)|~spl0_50|~spl0_48)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f469,f599])).
% 0.20/0.42 fof(f664,plain,(
% 0.20/0.42 ~halts3(sk0_1,sk0_3(sk0_1),sk0_3(sk0_1))|~program(sk0_1)|~spl0_50|~spl0_48|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f663,f99])).
% 0.20/0.42 fof(f665,plain,(
% 0.20/0.42 ~spl0_63|~spl0_1|~spl0_50|~spl0_48|~spl0_7),
% 0.20/0.42 inference(split_clause,[status(thm)],[f664,f614,f76,f482,f460,f98])).
% 0.20/0.42 fof(f673,plain,(
% 0.20/0.42 spl0_67 <=> pd0_1(sk0_2(sk0_1),sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f674,plain,(
% 0.20/0.42 pd0_1(sk0_2(sk0_1),sk0_1)|~spl0_67),
% 0.20/0.42 inference(component_clause,[status(thm)],[f673])).
% 0.20/0.42 fof(f675,plain,(
% 0.20/0.42 ~pd0_1(sk0_2(sk0_1),sk0_1)|spl0_67),
% 0.20/0.42 inference(component_clause,[status(thm)],[f673])).
% 0.20/0.42 fof(f676,plain,(
% 0.20/0.42 ~program(sk0_1)|~program(sk0_1)|pd0_1(sk0_2(sk0_1),sk0_1)|~spl0_7|spl0_63),
% 0.20/0.42 inference(resolution,[status(thm)],[f401,f616])).
% 0.20/0.42 fof(f677,plain,(
% 0.20/0.42 ~spl0_1|spl0_67|~spl0_7|spl0_63),
% 0.20/0.42 inference(split_clause,[status(thm)],[f676,f76,f673,f98,f614])).
% 0.20/0.42 fof(f678,plain,(
% 0.20/0.42 ~decides(sk0_1,sk0_2(sk0_1),sk0_9(sk0_2(sk0_1),sk0_1))|~spl0_67),
% 0.20/0.42 inference(resolution,[status(thm)],[f674,f52])).
% 0.20/0.42 fof(f679,plain,(
% 0.20/0.42 program(sk0_2(sk0_1))|~spl0_67),
% 0.20/0.42 inference(resolution,[status(thm)],[f674,f51])).
% 0.20/0.42 fof(f682,plain,(
% 0.20/0.42 ~program(sk0_2(sk0_1))|~spl0_67|~spl0_2),
% 0.20/0.42 inference(resolution,[status(thm)],[f678,f81])).
% 0.20/0.42 fof(f683,plain,(
% 0.20/0.42 $false|~spl0_67|~spl0_2),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f682,f679])).
% 0.20/0.42 fof(f684,plain,(
% 0.20/0.42 ~spl0_67|~spl0_2),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f683])).
% 0.20/0.42 fof(f685,plain,(
% 0.20/0.42 ![X0]: (~pd0_3(X0,sk0_1)|pd0_5(X0,sk0_1)|~halts2(sk0_1,X0)|~spl0_48)),
% 0.20/0.42 inference(resolution,[status(thm)],[f461,f64])).
% 0.20/0.42 fof(f686,plain,(
% 0.20/0.42 spl0_56|~spl0_48),
% 0.20/0.42 inference(split_clause,[status(thm)],[f685,f565,f460])).
% 0.20/0.42 fof(f693,plain,(
% 0.20/0.42 ![X0,X1]: (~program(X0)|~pd0_4(X0,X1)|~spl0_4)),
% 0.20/0.42 inference(resolution,[status(thm)],[f88,f67])).
% 0.20/0.42 fof(f694,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_4(X0,X1)|~spl0_4)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f693,f66])).
% 0.20/0.42 fof(f706,plain,(
% 0.20/0.42 ![X0,X1]: (~pd0_2(X0,X1)|~halts3(X1,X0,X0)|~outputs(X1,bad)|~spl0_4)),
% 0.20/0.42 inference(backward_subsumption_resolution,[status(thm)],[f58,f694])).
% 0.20/0.42 fof(f721,plain,(
% 0.20/0.42 ![X0]: (~pd0_2(X0,sk0_1)|~halts3(sk0_1,X0,X0)|~spl0_4|~spl0_48)),
% 0.20/0.42 inference(resolution,[status(thm)],[f706,f461])).
% 0.20/0.42 fof(f725,plain,(
% 0.20/0.42 ~program(sk0_1)|outputs(sk0_1,bad)|spl0_67|~spl0_5),
% 0.20/0.42 inference(resolution,[status(thm)],[f675,f92])).
% 0.20/0.42 fof(f726,plain,(
% 0.20/0.42 ~spl0_1|spl0_48|spl0_67|~spl0_5),
% 0.20/0.42 inference(split_clause,[status(thm)],[f725,f76,f460,f673,f91])).
% 0.20/0.42 fof(f728,plain,(
% 0.20/0.42 $false|~spl0_4|~spl0_6|~spl0_1|~spl0_7),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f369,f376])).
% 0.20/0.42 fof(f729,plain,(
% 0.20/0.42 ~spl0_4|~spl0_6|~spl0_1|~spl0_7),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f728])).
% 0.20/0.42 fof(f730,plain,(
% 0.20/0.42 ~program(sk0_3(sk0_3(sk0_1)))|~spl0_6|spl0_47),
% 0.20/0.42 inference(resolution,[status(thm)],[f95,f454])).
% 0.20/0.42 fof(f731,plain,(
% 0.20/0.42 $false|~spl0_1|~spl0_7|~spl0_6|spl0_47),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f730,f457])).
% 0.20/0.42 fof(f732,plain,(
% 0.20/0.42 ~spl0_1|~spl0_7|~spl0_6|spl0_47),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f731])).
% 0.20/0.42 fof(f740,plain,(
% 0.20/0.42 $false|~spl0_6|~spl0_1|spl0_61),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f590,f372])).
% 0.20/0.42 fof(f741,plain,(
% 0.20/0.42 ~spl0_6|~spl0_1|spl0_61),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f740])).
% 0.20/0.42 fof(f742,plain,(
% 0.20/0.42 ![X0]: (~pd0_5(X0,sk0_1)|~spl0_6|~spl0_1|~spl0_50)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f495,f372])).
% 0.20/0.42 fof(f743,plain,(
% 0.20/0.42 $false|~spl0_6|~spl0_1|~spl0_15|spl0_25),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f191,f370])).
% 0.20/0.42 fof(f744,plain,(
% 0.20/0.42 ~spl0_6|~spl0_1|~spl0_15|spl0_25),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f743])).
% 0.20/0.42 fof(f745,plain,(
% 0.20/0.42 $false|~spl0_6|~spl0_1|~spl0_50|~spl0_24),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f187,f742])).
% 0.20/0.42 fof(f746,plain,(
% 0.20/0.42 ~spl0_6|~spl0_1|~spl0_50|~spl0_24),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f745])).
% 0.20/0.42 fof(f765,plain,(
% 0.20/0.42 ~halts3(sk0_1,sk0_3(sk0_1),sk0_3(sk0_1))|~spl0_4|~spl0_48|~spl0_1|~spl0_7),
% 0.20/0.42 inference(resolution,[status(thm)],[f721,f183])).
% 0.20/0.42 fof(f766,plain,(
% 0.20/0.42 ~spl0_63|~spl0_4|~spl0_48|~spl0_1|~spl0_7),
% 0.20/0.42 inference(split_clause,[status(thm)],[f765,f614,f87,f460,f76,f98])).
% 0.20/0.42 fof(f769,plain,(
% 0.20/0.42 ~program(sk0_1)|pd0_1(sk0_2(sk0_1),sk0_1)|~spl0_3|spl0_50),
% 0.20/0.42 inference(resolution,[status(thm)],[f85,f484])).
% 0.20/0.42 fof(f770,plain,(
% 0.20/0.42 ~spl0_1|spl0_67|~spl0_3|spl0_50),
% 0.20/0.42 inference(split_clause,[status(thm)],[f769,f76,f673,f84,f482])).
% 0.20/0.42 fof(f771,plain,(
% 0.20/0.42 $false|spl0_27|~spl0_26),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f220,f242])).
% 0.20/0.42 fof(f772,plain,(
% 0.20/0.42 spl0_27|~spl0_26),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f771])).
% 0.20/0.42 fof(f808,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_4))|~spl0_13|spl0_45),
% 0.20/0.42 inference(resolution,[status(thm)],[f121,f441])).
% 0.20/0.42 fof(f809,plain,(
% 0.20/0.42 ~spl0_44|~spl0_13|spl0_45),
% 0.20/0.42 inference(split_clause,[status(thm)],[f808,f436,f120,f439])).
% 0.20/0.42 fof(f825,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|halts2(sk0_4,X0)|~spl0_9|~spl0_12)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f117,f106])).
% 0.20/0.42 fof(f828,plain,(
% 0.20/0.42 ~program(sk0_5(sk0_4))|spl0_43|~spl0_9|~spl0_12),
% 0.20/0.42 inference(resolution,[status(thm)],[f433,f825])).
% 0.20/0.42 fof(f829,plain,(
% 0.20/0.42 ~spl0_44|spl0_43|~spl0_9|~spl0_12),
% 0.20/0.42 inference(split_clause,[status(thm)],[f828,f436,f431,f105,f116])).
% 0.20/0.42 fof(f830,plain,(
% 0.20/0.42 spl0_74 <=> pd0_1(sk0_2(sk0_4),sk0_4)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f833,plain,(
% 0.20/0.42 ~program(sk0_4)|pd0_1(sk0_2(sk0_4),sk0_4)|spl0_14|~spl0_5),
% 0.20/0.42 inference(resolution,[status(thm)],[f125,f92])).
% 0.20/0.42 fof(f834,plain,(
% 0.20/0.42 ~spl0_8|spl0_74|spl0_14|~spl0_5),
% 0.20/0.42 inference(split_clause,[status(thm)],[f833,f101,f830,f123,f91])).
% 0.20/0.42 fof(f837,plain,(
% 0.20/0.42 ![X0]: (~program(sk0_5(X0))|~program(X0)|pd0_5(sk0_5(X0),X0)|~spl0_13|~spl0_15)),
% 0.20/0.42 inference(resolution,[status(thm)],[f121,f290])).
% 0.20/0.42 fof(f838,plain,(
% 0.20/0.42 ![X0]: (~program(X0)|pd0_5(sk0_5(X0),X0)|~spl0_13|~spl0_15)),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f837,f291])).
% 0.20/0.42 fof(f845,plain,(
% 0.20/0.42 spl0_75 <=> pd0_5(sk0_1,sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f847,plain,(
% 0.20/0.42 ~pd0_5(sk0_1,sk0_1)|spl0_75),
% 0.20/0.42 inference(component_clause,[status(thm)],[f845])).
% 0.20/0.42 fof(f848,plain,(
% 0.20/0.42 ~pd0_5(sk0_1,sk0_1)|~program(sk0_1)|~spl0_50|~spl0_13),
% 0.20/0.42 inference(resolution,[status(thm)],[f495,f121])).
% 0.20/0.42 fof(f849,plain,(
% 0.20/0.42 ~spl0_75|~spl0_1|~spl0_50|~spl0_13),
% 0.20/0.42 inference(split_clause,[status(thm)],[f848,f845,f76,f482,f120])).
% 0.20/0.42 fof(f850,plain,(
% 0.20/0.42 spl0_76 <=> pd0_3(sk0_1,sk0_1)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f853,plain,(
% 0.20/0.42 ~pd0_3(sk0_1,sk0_1)|~halts2(sk0_1,sk0_1)|spl0_75),
% 0.20/0.42 inference(resolution,[status(thm)],[f847,f63])).
% 0.20/0.42 fof(f854,plain,(
% 0.20/0.42 ~spl0_76|~spl0_39|spl0_75),
% 0.20/0.42 inference(split_clause,[status(thm)],[f853,f850,f348,f845])).
% 0.20/0.42 fof(f860,plain,(
% 0.20/0.42 ~program(sk0_1)|spl0_39|~spl0_13),
% 0.20/0.42 inference(resolution,[status(thm)],[f350,f121])).
% 0.20/0.42 fof(f861,plain,(
% 0.20/0.42 $false|~spl0_1|spl0_39|~spl0_13),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f860,f77])).
% 0.20/0.42 fof(f862,plain,(
% 0.20/0.42 ~spl0_1|spl0_39|~spl0_13),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f861])).
% 0.20/0.42 fof(f865,plain,(
% 0.20/0.42 spl0_78 <=> decides(sk0_4,sk0_2(sk0_4),sk0_9(sk0_2(sk0_4),sk0_4))),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f868,plain,(
% 0.20/0.42 ~program(sk0_4)|~decides(sk0_4,sk0_2(sk0_4),sk0_9(sk0_2(sk0_4),sk0_4))|~spl0_5|spl0_14),
% 0.20/0.42 inference(resolution,[status(thm)],[f232,f125])).
% 0.20/0.42 fof(f869,plain,(
% 0.20/0.42 ~spl0_8|~spl0_78|~spl0_5|spl0_14),
% 0.20/0.42 inference(split_clause,[status(thm)],[f868,f101,f865,f91,f123])).
% 0.20/0.42 fof(f888,plain,(
% 0.20/0.42 ~halts2(sk0_4,sk0_5(sk0_4))|~program(sk0_4)|~spl0_11|~spl0_13|~spl0_15),
% 0.20/0.42 inference(resolution,[status(thm)],[f317,f838])).
% 0.20/0.42 fof(f889,plain,(
% 0.20/0.42 ~spl0_43|~spl0_8|~spl0_11|~spl0_13|~spl0_15),
% 0.20/0.42 inference(split_clause,[status(thm)],[f888,f431,f101,f112,f120,f127])).
% 0.20/0.42 fof(f891,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(sat_refutation,[status(thm)],[f79,f83,f90,f97,f104,f108,f115,f119,f126,f133,f137,f141,f193,f210,f287,f305,f345,f347,f355,f359,f375,f381,f435,f443,f456,f498,f504,f507,f549,f612,f618,f625,f665,f677,f684,f686,f726,f729,f732,f741,f744,f746,f766,f770,f772,f809,f829,f834,f849,f854,f862,f869,f889])).
% 0.20/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.43 % Elapsed time: 0.071611 seconds
% 0.20/0.43 % CPU time: 0.452334 seconds
% 0.20/0.43 % Total memory used: 17.430 MB
% 0.20/0.43 % Net memory used: 16.497 MB
%------------------------------------------------------------------------------