TSTP Solution File: COM003+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 : Wed May 31 12:03:52 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 12:03:37 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 ( (? [X] :( algorithm(X)& (! [Y] :( program(Y)=> (! [Z] : decides(X,Y,Z) )) )))=> (? [W] :( program(W)& (! [Y] :( program(Y)=> (! [Z] : decides(W,Y,Z) )) )) )) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 (! [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) ) ) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (! [W] :( ( program(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) ) ) ) ))=> (? [V] :( program(V)& (! [Y] :( ( ( program(Y)& halts3(W,Y,Y)& outputs(W,good) )=> ~ halts2(V,Y) )& ( ( program(Y)& halts3(W,Y,Y)& outputs(W,bad) )=> ( halts2(V,Y)& outputs(V,bad) ) ) ) )) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,conjecture,(
% 0.12/0.35 ~ (? [X1] :( algorithm(X1)& (! [Y1] :( program(Y1)=> (! [Z1] : decides(X1,Y1,Z1) )) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f5,negated_conjecture,(
% 0.12/0.35 ~(~ (? [X1] :( algorithm(X1)& (! [Y1] :( program(Y1)=> (! [Z1] : decides(X1,Y1,Z1) )) )) ))),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f4])).
% 0.12/0.35 fof(f6,plain,(
% 0.12/0.35 (![X]: (~algorithm(X)|(?[Y]: (program(Y)&(?[Z]: ~decides(X,Y,Z))))))|(?[W]: (program(W)&(![Y]: (~program(Y)|(![Z]: decides(W,Y,Z))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.12/0.35 fof(f7,plain,(
% 0.12/0.35 ![X,Y]: (pd0_0(Y,X)=>(program(Y)&(?[Z]: ~decides(X,Y,Z))))),
% 0.12/0.35 introduced(predicate_definition,[f6])).
% 0.12/0.35 fof(f8,plain,(
% 0.12/0.35 (![X]: (~algorithm(X)|(?[Y]: pd0_0(Y,X))))|(?[W]: (program(W)&(![Y]: (~program(Y)|(![Z]: decides(W,Y,Z))))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.12/0.35 fof(f9,plain,(
% 0.12/0.35 (![X]: (~algorithm(X)|pd0_0(sk0_0(X),X)))|(program(sk0_1)&(![Y]: (~program(Y)|(![Z]: decides(sk0_1,Y,Z)))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f8])).
% 0.12/0.35 fof(f10,plain,(
% 0.12/0.35 ![X0]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|program(sk0_1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f11,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|~program(X1)|decides(sk0_1,X1,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f12,plain,(
% 0.12/0.35 ![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))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f13,plain,(
% 0.12/0.35 ![W,Y]: (pd0_1(Y,W)=>(program(Y)&(?[Z]: ~decides(W,Y,Z))))),
% 0.12/0.35 introduced(predicate_definition,[f12])).
% 0.12/0.35 fof(f14,plain,(
% 0.12/0.35 ![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))))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f12,f13])).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 ![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))))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f14])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ![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))))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f15])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|~halts2(X1,X2)|halts3(X0,X1,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|~halts2(X1,X2)|outputs(X0,good))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.35 fof(f19,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts2(X1,X2)|halts3(X0,X1,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.35 fof(f20,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts2(X1,X2)|outputs(X0,bad))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.35 fof(f21,plain,(
% 0.12/0.35 ![W]: ((~program(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))))))|(?[V]: (program(V)&(![Y]: ((((~program(Y)|~halts3(W,Y,Y))|~outputs(W,good))|~halts2(V,Y))&(((~program(Y)|~halts3(W,Y,Y))|~outputs(W,bad))|(halts2(V,Y)&outputs(V,bad))))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f22,plain,(
% 0.12/0.35 ![W,Y,Z]: (pd0_2(Z,Y,W)=>(((program(Y)&halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,good)))|((program(Y)&~halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,bad)))))),
% 0.12/0.35 introduced(predicate_definition,[f21])).
% 0.12/0.35 fof(f23,plain,(
% 0.12/0.35 ![W]: ((~program(W)|(?[Y,Z]: pd0_2(Z,Y,W)))|(?[V]: (program(V)&(![Y]: ((((~program(Y)|~halts3(W,Y,Y))|~outputs(W,good))|~halts2(V,Y))&(((~program(Y)|~halts3(W,Y,Y))|~outputs(W,bad))|(halts2(V,Y)&outputs(V,bad))))))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f21,f22])).
% 0.12/0.35 fof(f24,plain,(
% 0.12/0.35 ![W]: ((~program(W)|(?[Y,Z]: pd0_2(Z,Y,W)))|(?[V]: (program(V)&((![Y]: (((~program(Y)|~halts3(W,Y,Y))|~outputs(W,good))|~halts2(V,Y)))&(![Y]: (((~program(Y)|~halts3(W,Y,Y))|~outputs(W,bad))|(halts2(V,Y)&outputs(V,bad))))))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f23])).
% 0.12/0.35 fof(f25,plain,(
% 0.12/0.35 ![W]: ((~program(W)|pd0_2(sk0_4(W),sk0_3(W),W))|(program(sk0_5(W))&((![Y]: (((~program(Y)|~halts3(W,Y,Y))|~outputs(W,good))|~halts2(sk0_5(W),Y)))&(![Y]: (((~program(Y)|~halts3(W,Y,Y))|~outputs(W,bad))|(halts2(sk0_5(W),Y)&outputs(sk0_5(W),bad)))))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f24])).
% 0.12/0.35 fof(f26,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|pd0_2(sk0_4(X0),sk0_3(X0),X0)|program(sk0_5(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f27,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|pd0_2(sk0_4(X0),sk0_3(X0),X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,good)|~halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f28,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|pd0_2(sk0_4(X0),sk0_3(X0),X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f29,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|pd0_2(sk0_4(X0),sk0_3(X0),X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|outputs(sk0_5(X0),bad))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f30,plain,(
% 0.12/0.35 ?[X1]: (algorithm(X1)&(![Y1]: (~program(Y1)|(![Z1]: decides(X1,Y1,Z1)))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.35 fof(f31,plain,(
% 0.12/0.35 (algorithm(sk0_6)&(![Y1]: (~program(Y1)|(![Z1]: decides(sk0_6,Y1,Z1)))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f30])).
% 0.12/0.35 fof(f32,plain,(
% 0.12/0.35 algorithm(sk0_6)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.35 fof(f33,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|decides(sk0_6,X0,X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.35 fof(f34,plain,(
% 0.12/0.35 ![X,Y]: (~pd0_0(Y,X)|(program(Y)&(?[Z]: ~decides(X,Y,Z))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f35,plain,(
% 0.12/0.35 ![X,Y]: (~pd0_0(Y,X)|(program(Y)&~decides(X,Y,sk0_7(Y,X))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f34])).
% 0.12/0.35 fof(f36,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_0(X0,X1)|program(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.12/0.35 fof(f37,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_0(X0,X1)|~decides(X1,X0,sk0_7(X0,X1)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.12/0.35 fof(f38,plain,(
% 0.12/0.35 ![W,Y]: (~pd0_1(Y,W)|(program(Y)&(?[Z]: ~decides(W,Y,Z))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.12/0.35 fof(f39,plain,(
% 0.12/0.35 ![W,Y]: (~pd0_1(Y,W)|(program(Y)&~decides(W,Y,sk0_8(Y,W))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f38])).
% 0.12/0.35 fof(f40,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_1(X0,X1)|program(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f39])).
% 0.12/0.35 fof(f41,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_1(X0,X1)|~decides(X1,X0,sk0_8(X0,X1)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f39])).
% 0.12/0.35 fof(f42,plain,(
% 0.12/0.35 ![W,Y,Z]: (~pd0_2(Z,Y,W)|(((program(Y)&halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,good)))|((program(Y)&~halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,bad)))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.12/0.35 fof(f43,plain,(
% 0.12/0.35 ![W,Y,Z]: (pd0_3(Z,Y,W)=>((program(Y)&halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,good))))),
% 0.12/0.35 introduced(predicate_definition,[f42])).
% 0.12/0.35 fof(f44,plain,(
% 0.12/0.35 ![W,Y,Z]: (~pd0_2(Z,Y,W)|(pd0_3(Z,Y,W)|((program(Y)&~halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,bad)))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f42,f43])).
% 0.12/0.35 fof(f45,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|pd0_3(X0,X1,X2)|program(X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f44])).
% 0.12/0.35 fof(f46,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|pd0_3(X0,X1,X2)|~halts2(X1,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f44])).
% 0.12/0.35 fof(f47,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|pd0_3(X0,X1,X2)|~halts3(X2,X1,X0)|~outputs(X2,bad))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f44])).
% 0.12/0.35 fof(f48,plain,(
% 0.12/0.35 ![W,Y,Z]: (~pd0_3(Z,Y,W)|((program(Y)&halts2(Y,Z))&(~halts3(W,Y,Z)|~outputs(W,good))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.12/0.35 fof(f49,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|program(X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f48])).
% 0.12/0.35 fof(f50,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|halts2(X1,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f48])).
% 0.12/0.35 fof(f51,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|~halts3(X2,X1,X0)|~outputs(X2,good))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f48])).
% 0.12/0.35 fof(f52,plain,(
% 0.12/0.35 spl0_0 <=> ~algorithm(X0)|pd0_0(sk0_0(X0),X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f53,plain,(
% 0.12/0.35 ![X0]: (~algorithm(X0)|pd0_0(sk0_0(X0),X0)|~spl0_0)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f52])).
% 0.12/0.35 fof(f55,plain,(
% 0.12/0.35 spl0_1 <=> program(sk0_1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f56,plain,(
% 0.12/0.35 program(sk0_1)|~spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f55])).
% 0.12/0.35 fof(f58,plain,(
% 0.12/0.35 spl0_0|spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f10,f52,f55])).
% 0.12/0.35 fof(f59,plain,(
% 0.12/0.35 spl0_2 <=> ~program(X1)|decides(sk0_1,X1,X2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f60,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|decides(sk0_1,X0,X1)|~spl0_2)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f59])).
% 0.12/0.35 fof(f62,plain,(
% 0.12/0.35 spl0_0|spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f11,f52,f59])).
% 0.12/0.35 fof(f63,plain,(
% 0.12/0.35 spl0_3 <=> ~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,good)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f64,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,good)|~spl0_3)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f63])).
% 0.12/0.35 fof(f66,plain,(
% 0.12/0.35 spl0_4 <=> ~program(X1)|~halts2(X1,X2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f67,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|~halts2(X0,X1)|~spl0_4)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.35 fof(f69,plain,(
% 0.12/0.35 spl0_3|spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f18,f63,f66])).
% 0.12/0.35 fof(f70,plain,(
% 0.12/0.35 spl0_5 <=> ~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,bad)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f71,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|pd0_1(sk0_2(X0),X0)|outputs(X0,bad)|~spl0_5)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.35 fof(f73,plain,(
% 0.12/0.35 spl0_6 <=> ~program(X1)|halts2(X1,X2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f74,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|halts2(X0,X1)|~spl0_6)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.35 fof(f76,plain,(
% 0.12/0.35 spl0_5|spl0_6),
% 0.12/0.35 inference(split_clause,[status(thm)],[f20,f70,f73])).
% 0.12/0.35 fof(f79,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(X0,sk0_6)|~program(X0))),
% 0.12/0.35 inference(resolution,[status(thm)],[f37,f33])).
% 0.12/0.35 fof(f80,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(X0,sk0_6))),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f79,f36])).
% 0.12/0.35 fof(f81,plain,(
% 0.12/0.35 ~algorithm(sk0_6)|~spl0_0),
% 0.12/0.35 inference(resolution,[status(thm)],[f80,f53])).
% 0.12/0.35 fof(f82,plain,(
% 0.12/0.35 $false|~spl0_0),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f81,f32])).
% 0.12/0.35 fof(f83,plain,(
% 0.12/0.35 ~spl0_0),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f82])).
% 0.12/0.35 fof(f86,plain,(
% 0.12/0.35 ![X0]: (~pd0_1(X0,sk0_1)|~program(X0)|~spl0_2)),
% 0.12/0.35 inference(resolution,[status(thm)],[f41,f60])).
% 0.12/0.35 fof(f87,plain,(
% 0.12/0.35 ![X0]: (~pd0_1(X0,sk0_1)|~spl0_2)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f86,f40])).
% 0.12/0.35 fof(f98,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|pd0_1(sk0_2(X0),X0)|~program(X1)|halts3(X0,X1,X2))),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f19,f17])).
% 0.12/0.35 fof(f104,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~program(X0)|~program(X1)|halts3(X0,X1,X2)|program(sk0_2(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f98,f40])).
% 0.12/0.35 fof(f105,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|program(X1))),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f45,f49])).
% 0.12/0.35 fof(f106,plain,(
% 0.12/0.35 ![X0]: (program(sk0_3(X0))|~program(X0)|program(sk0_5(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f105,f26])).
% 0.12/0.35 fof(f107,plain,(
% 0.12/0.35 spl0_10 <=> ~program(X0)|halts3(sk0_1,X0,X1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f108,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|halts3(sk0_1,X0,X1)|~spl0_10)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f107])).
% 0.12/0.35 fof(f110,plain,(
% 0.12/0.35 ![X0,X1]: (~program(sk0_1)|~program(X0)|halts3(sk0_1,X0,X1)|~spl0_2)),
% 0.12/0.35 inference(resolution,[status(thm)],[f87,f98])).
% 0.12/0.35 fof(f111,plain,(
% 0.12/0.35 ~spl0_1|spl0_10|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f110,f55,f107,f59])).
% 0.12/0.35 fof(f112,plain,(
% 0.12/0.35 ![X0]: (pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts2(sk0_3(X0),sk0_4(X0))|~program(X0)|program(sk0_5(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/0.35 fof(f113,plain,(
% 0.12/0.35 spl0_11 <=> outputs(sk0_1,bad)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f116,plain,(
% 0.12/0.35 ~program(sk0_1)|outputs(sk0_1,bad)|~spl0_5|~spl0_2),
% 0.12/0.35 inference(resolution,[status(thm)],[f71,f87])).
% 0.12/0.35 fof(f117,plain,(
% 0.12/0.35 ~spl0_1|spl0_11|~spl0_5|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f116,f55,f113,f70,f59])).
% 0.12/0.35 fof(f123,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|outputs(X0,bad)|program(sk0_2(X0))|~spl0_5)),
% 0.12/0.35 inference(resolution,[status(thm)],[f71,f40])).
% 0.12/0.35 fof(f124,plain,(
% 0.12/0.35 spl0_13 <=> outputs(sk0_1,good)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f127,plain,(
% 0.12/0.35 ~program(sk0_1)|outputs(sk0_1,good)|~spl0_3|~spl0_2),
% 0.12/0.35 inference(resolution,[status(thm)],[f64,f87])).
% 0.12/0.35 fof(f128,plain,(
% 0.12/0.35 ~spl0_1|spl0_13|~spl0_3|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f127,f55,f124,f63,f59])).
% 0.12/0.35 fof(f135,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_6|~spl0_4)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f67,f74])).
% 0.12/0.35 fof(f140,plain,(
% 0.12/0.35 $false|~spl0_6|~spl0_4|~spl0_1),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f56,f135])).
% 0.12/0.35 fof(f141,plain,(
% 0.12/0.35 ~spl0_6|~spl0_4|~spl0_1),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f140])).
% 0.12/0.35 fof(f144,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,good)|~halts2(sk0_5(X0),X1)|pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts2(sk0_3(X0),sk0_4(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f27,f46])).
% 0.12/0.35 fof(f145,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1)|pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts2(sk0_3(X0),sk0_4(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f28,f46])).
% 0.12/0.35 fof(f147,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|outputs(sk0_5(X0),bad))),
% 0.12/0.35 inference(resolution,[status(thm)],[f105,f29])).
% 0.12/0.35 fof(f148,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(resolution,[status(thm)],[f105,f28])).
% 0.12/0.35 fof(f149,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,good)|~halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(resolution,[status(thm)],[f105,f27])).
% 0.12/0.35 fof(f164,plain,(
% 0.12/0.35 ![X0]: (pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts3(X0,sk0_3(X0),sk0_4(X0))|~outputs(X0,bad)|~program(X0)|program(sk0_5(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f47,f26])).
% 0.12/0.35 fof(f169,plain,(
% 0.12/0.35 ![X0,X1]: (pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts3(X0,sk0_3(X0),sk0_4(X0))|~outputs(X0,bad)|~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,good)|~halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(resolution,[status(thm)],[f47,f27])).
% 0.12/0.35 fof(f170,plain,(
% 0.12/0.35 ![X0,X1]: (~halts3(X0,sk0_3(X0),sk0_4(X0))|~outputs(X0,bad)|~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,good)|~halts2(sk0_5(X0),X1))),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f169,f51])).
% 0.12/0.35 fof(f171,plain,(
% 0.12/0.35 ![X0]: (~halts2(sk0_3(X0),sk0_4(X0))|~program(X0)|program(sk0_5(X0))|~halts3(X0,sk0_3(X0),sk0_4(X0))|~outputs(X0,good))),
% 0.12/0.35 inference(resolution,[status(thm)],[f112,f51])).
% 0.12/0.35 fof(f173,plain,(
% 0.12/0.35 spl0_15 <=> program(sk0_3(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f174,plain,(
% 0.12/0.35 program(sk0_3(sk0_1))|~spl0_15),
% 0.12/0.35 inference(component_clause,[status(thm)],[f173])).
% 0.12/0.35 fof(f176,plain,(
% 0.12/0.35 spl0_16 <=> ~program(X0)|halts2(sk0_5(sk0_1),X0)|~program(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f177,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|halts2(sk0_5(sk0_1),X0)|~program(X0)|~spl0_16)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.35 fof(f179,plain,(
% 0.12/0.35 ![X0]: (program(sk0_3(sk0_1))|~program(sk0_1)|~program(X0)|~outputs(sk0_1,bad)|halts2(sk0_5(sk0_1),X0)|~program(X0)|~spl0_10)),
% 0.12/0.35 inference(resolution,[status(thm)],[f148,f108])).
% 0.12/0.35 fof(f180,plain,(
% 0.12/0.35 spl0_15|~spl0_1|spl0_16|~spl0_11|~spl0_10),
% 0.12/0.35 inference(split_clause,[status(thm)],[f179,f173,f55,f176,f113,f107])).
% 0.12/0.35 fof(f181,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1)|~program(X0)|~program(X1)|program(sk0_2(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f148,f104])).
% 0.12/0.35 fof(f182,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1)|program(sk0_2(X0)))),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f181])).
% 0.12/0.35 fof(f183,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|halts2(sk0_5(sk0_1),X0)|~spl0_16)),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f177])).
% 0.12/0.35 fof(f191,plain,(
% 0.12/0.35 spl0_17 <=> ~program(X0)|~program(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f192,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~program(X0)|~spl0_17)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f191])).
% 0.12/0.35 fof(f199,plain,(
% 0.12/0.35 spl0_19 <=> program(sk0_3(X0))|~program(X0)|~outputs(X0,bad)|outputs(sk0_5(X0),bad)|~program(X0)|program(sk0_2(X0))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f202,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|~outputs(X0,bad)|outputs(sk0_5(X0),bad)|~program(X0)|~program(X1)|program(sk0_2(X0)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f147,f104])).
% 0.12/0.35 fof(f203,plain,(
% 0.12/0.35 spl0_19|spl0_17),
% 0.12/0.35 inference(split_clause,[status(thm)],[f202,f199,f191])).
% 0.12/0.35 fof(f204,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_17)),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f192])).
% 0.12/0.35 fof(f209,plain,(
% 0.12/0.35 $false|~spl0_17|~spl0_1),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f56,f204])).
% 0.12/0.35 fof(f210,plain,(
% 0.12/0.35 ~spl0_17|~spl0_1),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f209])).
% 0.12/0.35 fof(f232,plain,(
% 0.12/0.35 spl0_20 <=> ~program(X0)|~halts2(sk0_5(sk0_1),X0)|~program(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f233,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts2(sk0_5(sk0_1),X0)|~program(X0)|~spl0_20)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f232])).
% 0.12/0.35 fof(f235,plain,(
% 0.12/0.35 ![X0]: (program(sk0_3(sk0_1))|~program(sk0_1)|~program(X0)|~outputs(sk0_1,good)|~halts2(sk0_5(sk0_1),X0)|~program(X0)|~spl0_10)),
% 0.12/0.35 inference(resolution,[status(thm)],[f149,f108])).
% 0.12/0.35 fof(f236,plain,(
% 0.12/0.35 spl0_15|~spl0_1|spl0_20|~spl0_13|~spl0_10),
% 0.12/0.35 inference(split_clause,[status(thm)],[f235,f173,f55,f232,f124,f107])).
% 0.12/0.35 fof(f239,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|halts2(sk0_5(X0),X1)|program(sk0_2(X0))|~spl0_5)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f182,f123])).
% 0.12/0.35 fof(f240,plain,(
% 0.12/0.35 spl0_21 <=> program(sk0_3(X0))|~program(X0)|program(sk0_2(X0))|~program(sk0_5(X0))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f243,plain,(
% 0.12/0.35 spl0_22 <=> ~program(X1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f244,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_22)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f243])).
% 0.12/0.35 fof(f246,plain,(
% 0.12/0.35 ![X0,X1]: (program(sk0_3(X0))|~program(X0)|~program(X1)|program(sk0_2(X0))|~program(sk0_5(X0))|~spl0_5|~spl0_4)),
% 0.12/0.35 inference(resolution,[status(thm)],[f239,f67])).
% 0.12/0.35 fof(f247,plain,(
% 0.12/0.35 spl0_21|spl0_22|~spl0_5|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f246,f240,f243,f70,f66])).
% 0.12/0.35 fof(f256,plain,(
% 0.12/0.35 spl0_23 <=> halts2(sk0_3(sk0_1),sk0_4(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f258,plain,(
% 0.12/0.35 ~halts2(sk0_3(sk0_1),sk0_4(sk0_1))|spl0_23),
% 0.12/0.35 inference(component_clause,[status(thm)],[f256])).
% 0.12/0.35 fof(f259,plain,(
% 0.12/0.35 spl0_24 <=> program(sk0_5(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f260,plain,(
% 0.12/0.35 program(sk0_5(sk0_1))|~spl0_24),
% 0.12/0.35 inference(component_clause,[status(thm)],[f259])).
% 0.12/0.35 fof(f261,plain,(
% 0.12/0.35 ~program(sk0_5(sk0_1))|spl0_24),
% 0.12/0.35 inference(component_clause,[status(thm)],[f259])).
% 0.12/0.35 fof(f262,plain,(
% 0.12/0.35 ~halts2(sk0_3(sk0_1),sk0_4(sk0_1))|~program(sk0_1)|program(sk0_5(sk0_1))|~outputs(sk0_1,good)|~program(sk0_3(sk0_1))|~spl0_10),
% 0.12/0.35 inference(resolution,[status(thm)],[f171,f108])).
% 0.12/0.35 fof(f263,plain,(
% 0.12/0.35 ~spl0_23|~spl0_1|spl0_24|~spl0_13|~spl0_15|~spl0_10),
% 0.12/0.35 inference(split_clause,[status(thm)],[f262,f256,f55,f259,f124,f173,f107])).
% 0.12/0.35 fof(f292,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1)|pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts3(X0,sk0_3(X0),sk0_4(X0))|~outputs(X0,bad))),
% 0.12/0.35 inference(resolution,[status(thm)],[f28,f47])).
% 0.12/0.35 fof(f293,plain,(
% 0.12/0.35 ![X0,X1]: (~program(X0)|~program(X1)|~halts3(X0,X1,X1)|~outputs(X0,bad)|halts2(sk0_5(X0),X1)|pd0_3(sk0_4(X0),sk0_3(X0),X0)|~halts3(X0,sk0_3(X0),sk0_4(X0)))),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f292])).
% 0.12/0.35 fof(f312,plain,(
% 0.12/0.35 ~program(sk0_3(sk0_1))|~spl0_6|spl0_23),
% 0.12/0.35 inference(resolution,[status(thm)],[f74,f258])).
% 0.12/0.35 fof(f317,plain,(
% 0.12/0.35 $false|~spl0_15|~spl0_6|spl0_23),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f312,f174])).
% 0.12/0.35 fof(f318,plain,(
% 0.12/0.35 ~spl0_15|~spl0_6|spl0_23),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f317])).
% 0.12/0.35 fof(f319,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts2(sk0_5(sk0_1),X0)|~spl0_20)),
% 0.12/0.35 inference(duplicate_literals_removal,[status(esa)],[f233])).
% 0.12/0.35 fof(f320,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_16|~spl0_20)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f319,f183])).
% 0.12/0.35 fof(f325,plain,(
% 0.12/0.35 $false|~spl0_16|~spl0_20|~spl0_24),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f260,f320])).
% 0.12/0.35 fof(f326,plain,(
% 0.12/0.35 ~spl0_16|~spl0_20|~spl0_24),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f325])).
% 0.12/0.35 fof(f415,plain,(
% 0.12/0.35 spl0_29 <=> pd0_3(sk0_4(sk0_1),sk0_3(sk0_1),sk0_1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f416,plain,(
% 0.12/0.35 pd0_3(sk0_4(sk0_1),sk0_3(sk0_1),sk0_1)|~spl0_29),
% 0.12/0.35 inference(component_clause,[status(thm)],[f415])).
% 0.12/0.35 fof(f417,plain,(
% 0.12/0.35 ~pd0_3(sk0_4(sk0_1),sk0_3(sk0_1),sk0_1)|spl0_29),
% 0.12/0.35 inference(component_clause,[status(thm)],[f415])).
% 0.12/0.35 fof(f418,plain,(
% 0.12/0.35 pd0_3(sk0_4(sk0_1),sk0_3(sk0_1),sk0_1)|~outputs(sk0_1,bad)|~program(sk0_1)|program(sk0_5(sk0_1))|~program(sk0_3(sk0_1))|~spl0_10),
% 0.12/0.35 inference(resolution,[status(thm)],[f164,f108])).
% 0.12/0.35 fof(f419,plain,(
% 0.12/0.35 spl0_29|~spl0_11|~spl0_1|spl0_24|~spl0_15|~spl0_10),
% 0.12/0.35 inference(split_clause,[status(thm)],[f418,f415,f113,f55,f259,f173,f107])).
% 0.12/0.35 fof(f465,plain,(
% 0.12/0.35 spl0_35 <=> ~program(X0)|~halts3(sk0_1,X0,X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f466,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts3(sk0_1,X0,X0)|~spl0_35)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f465])).
% 0.12/0.35 fof(f473,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_10|~spl0_35)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f466,f108])).
% 0.12/0.35 fof(f474,plain,(
% 0.12/0.35 spl0_36 <=> ~program(X0)|~halts3(sk0_1,X0,X0)|halts2(sk0_5(sk0_1),X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f475,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts3(sk0_1,X0,X0)|halts2(sk0_5(sk0_1),X0)|~spl0_36)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f474])).
% 0.12/0.35 fof(f482,plain,(
% 0.12/0.35 spl0_37 <=> halts3(sk0_1,sk0_3(sk0_1),sk0_4(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f483,plain,(
% 0.12/0.35 halts3(sk0_1,sk0_3(sk0_1),sk0_4(sk0_1))|~spl0_37),
% 0.12/0.35 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.35 fof(f484,plain,(
% 0.12/0.35 ~halts3(sk0_1,sk0_3(sk0_1),sk0_4(sk0_1))|spl0_37),
% 0.12/0.35 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.35 fof(f485,plain,(
% 0.12/0.35 ~halts3(sk0_1,sk0_3(sk0_1),sk0_4(sk0_1))|~outputs(sk0_1,good)|~spl0_29),
% 0.12/0.35 inference(resolution,[status(thm)],[f416,f51])).
% 0.12/0.35 fof(f486,plain,(
% 0.12/0.35 ~spl0_37|~spl0_13|~spl0_29),
% 0.12/0.35 inference(split_clause,[status(thm)],[f485,f482,f124,f415])).
% 0.12/0.35 fof(f487,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|halts2(sk0_5(sk0_1),X0)|~spl0_10|~spl0_36)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f475,f108])).
% 0.12/0.35 fof(f488,plain,(
% 0.12/0.35 ~program(sk0_3(sk0_1))|spl0_37|~spl0_10),
% 0.12/0.35 inference(resolution,[status(thm)],[f484,f108])).
% 0.12/0.35 fof(f489,plain,(
% 0.12/0.35 $false|~spl0_15|spl0_37|~spl0_10),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f488,f174])).
% 0.12/0.35 fof(f490,plain,(
% 0.12/0.35 ~spl0_15|spl0_37|~spl0_10),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f489])).
% 0.12/0.35 fof(f491,plain,(
% 0.12/0.35 $false|~spl0_22|~spl0_1),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f56,f244])).
% 0.12/0.35 fof(f492,plain,(
% 0.12/0.35 ~spl0_22|~spl0_1),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f491])).
% 0.12/0.35 fof(f493,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_10|~spl0_36|~spl0_20)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f319,f487])).
% 0.12/0.35 fof(f538,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~program(sk0_5(sk0_1))|~spl0_20|~spl0_6)),
% 0.12/0.35 inference(resolution,[status(thm)],[f319,f74])).
% 0.12/0.35 fof(f539,plain,(
% 0.12/0.35 spl0_22|~spl0_24|~spl0_20|~spl0_6),
% 0.12/0.35 inference(split_clause,[status(thm)],[f538,f243,f259,f232,f73])).
% 0.12/0.35 fof(f540,plain,(
% 0.12/0.35 program(sk0_3(sk0_1))|~program(sk0_1)|spl0_24),
% 0.12/0.35 inference(resolution,[status(thm)],[f261,f106])).
% 0.12/0.35 fof(f541,plain,(
% 0.12/0.35 spl0_15|~spl0_1|spl0_24),
% 0.12/0.35 inference(split_clause,[status(thm)],[f540,f173,f55,f259])).
% 0.12/0.35 fof(f571,plain,(
% 0.12/0.35 spl0_40 <=> ~program(X0)|~halts3(sk0_1,X0,X0)|~halts2(sk0_5(sk0_1),X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f572,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts3(sk0_1,X0,X0)|~halts2(sk0_5(sk0_1),X0)|~spl0_40)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f571])).
% 0.12/0.35 fof(f590,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~program(sk0_5(sk0_1))|~spl0_16|~spl0_4)),
% 0.12/0.35 inference(resolution,[status(thm)],[f183,f67])).
% 0.12/0.35 fof(f591,plain,(
% 0.12/0.35 spl0_22|~spl0_24|~spl0_16|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f590,f243,f259,f176,f66])).
% 0.12/0.35 fof(f592,plain,(
% 0.12/0.35 halts2(sk0_3(sk0_1),sk0_4(sk0_1))|~spl0_29),
% 0.12/0.35 inference(resolution,[status(thm)],[f416,f50])).
% 0.12/0.35 fof(f594,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~program(sk0_5(sk0_1))|~spl0_10|~spl0_36|~spl0_4)),
% 0.12/0.35 inference(resolution,[status(thm)],[f487,f67])).
% 0.12/0.35 fof(f595,plain,(
% 0.12/0.35 spl0_22|~spl0_24|~spl0_10|~spl0_36|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f594,f243,f259,f107,f474,f66])).
% 0.12/0.35 fof(f596,plain,(
% 0.12/0.35 ~program(sk0_3(sk0_1))|~spl0_29|~spl0_4),
% 0.12/0.35 inference(resolution,[status(thm)],[f592,f67])).
% 0.12/0.35 fof(f597,plain,(
% 0.12/0.35 ~spl0_15|~spl0_29|~spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f596,f173,f415,f66])).
% 0.12/0.35 fof(f598,plain,(
% 0.12/0.35 ![X0]: (~outputs(sk0_1,bad)|~program(sk0_1)|~program(X0)|~halts3(sk0_1,X0,X0)|~outputs(sk0_1,good)|~halts2(sk0_5(sk0_1),X0)|~spl0_37)),
% 0.12/0.35 inference(resolution,[status(thm)],[f483,f170])).
% 0.12/0.35 fof(f599,plain,(
% 0.12/0.35 ~spl0_11|~spl0_1|spl0_40|~spl0_13|~spl0_37),
% 0.12/0.35 inference(split_clause,[status(thm)],[f598,f113,f55,f571,f124,f482])).
% 0.12/0.35 fof(f600,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~halts2(sk0_5(sk0_1),X0)|~spl0_10|~spl0_40)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f572,f108])).
% 0.12/0.35 fof(f601,plain,(
% 0.12/0.35 $false|~spl0_10|~spl0_35|~spl0_24),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f260,f473])).
% 0.12/0.35 fof(f602,plain,(
% 0.12/0.35 ~spl0_10|~spl0_35|~spl0_24),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f601])).
% 0.12/0.35 fof(f603,plain,(
% 0.12/0.35 spl0_22|~spl0_10|~spl0_36|~spl0_20),
% 0.12/0.35 inference(split_clause,[status(thm)],[f493,f243,f107,f474,f232])).
% 0.12/0.35 fof(f608,plain,(
% 0.12/0.35 ![X0]: (~program(X0)|~spl0_36|~spl0_10|~spl0_40)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f600,f487])).
% 0.12/0.35 fof(f615,plain,(
% 0.12/0.35 $false|~spl0_36|~spl0_10|~spl0_40|~spl0_15),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f174,f608])).
% 0.12/0.35 fof(f616,plain,(
% 0.12/0.35 ~spl0_36|~spl0_10|~spl0_40|~spl0_15),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f615])).
% 0.12/0.35 fof(f657,plain,(
% 0.12/0.35 ![X0]: (~program(sk0_1)|~program(X0)|~halts3(sk0_1,X0,X0)|~outputs(sk0_1,bad)|halts2(sk0_5(sk0_1),X0)|~halts2(sk0_3(sk0_1),sk0_4(sk0_1))|spl0_29)),
% 0.12/0.35 inference(resolution,[status(thm)],[f145,f417])).
% 0.12/0.35 fof(f658,plain,(
% 0.12/0.35 ~spl0_1|spl0_36|~spl0_11|~spl0_23|spl0_29),
% 0.12/0.35 inference(split_clause,[status(thm)],[f657,f55,f474,f113,f256,f415])).
% 0.12/0.36 fof(f663,plain,(
% 0.12/0.36 ![X0]: (~program(sk0_1)|~program(X0)|~halts3(sk0_1,X0,X0)|~outputs(sk0_1,good)|~halts2(sk0_5(sk0_1),X0)|~halts2(sk0_3(sk0_1),sk0_4(sk0_1))|spl0_29)),
% 0.12/0.36 inference(resolution,[status(thm)],[f144,f417])).
% 0.12/0.36 fof(f664,plain,(
% 0.12/0.36 ~spl0_1|spl0_40|~spl0_13|~spl0_23|spl0_29),
% 0.12/0.36 inference(split_clause,[status(thm)],[f663,f55,f571,f124,f256,f415])).
% 0.12/0.36 fof(f700,plain,(
% 0.12/0.36 ![X0]: (~program(sk0_1)|~program(X0)|~halts3(sk0_1,X0,X0)|~outputs(sk0_1,bad)|halts2(sk0_5(sk0_1),X0)|pd0_3(sk0_4(sk0_1),sk0_3(sk0_1),sk0_1)|~spl0_37)),
% 0.12/0.36 inference(resolution,[status(thm)],[f293,f483])).
% 0.12/0.36 fof(f701,plain,(
% 0.12/0.36 ~spl0_1|spl0_36|~spl0_11|spl0_29|~spl0_37),
% 0.12/0.36 inference(split_clause,[status(thm)],[f700,f55,f474,f113,f415,f482])).
% 0.12/0.36 fof(f716,plain,(
% 0.12/0.36 ![X0]: (~program(X0)|~program(sk0_5(sk0_1))|~spl0_10|~spl0_40|~spl0_6)),
% 0.12/0.36 inference(resolution,[status(thm)],[f600,f74])).
% 0.12/0.36 fof(f717,plain,(
% 0.12/0.36 spl0_22|~spl0_24|~spl0_10|~spl0_40|~spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f716,f243,f259,f107,f571,f73])).
% 0.12/0.36 fof(f718,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f58,f62,f69,f76,f83,f111,f117,f128,f141,f180,f203,f210,f236,f247,f263,f318,f326,f419,f486,f490,f492,f539,f541,f591,f595,f597,f599,f602,f603,f616,f658,f664,f701,f717])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 % Elapsed time: 0.037929 seconds
% 0.12/0.36 % CPU time: 0.187465 seconds
% 0.12/0.36 % Memory used: 4.297 MB
%------------------------------------------------------------------------------