TSTP Solution File: COM003-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 12:03:51 EDT 2023

% Result   : Unsatisfiable 1.58s 0.58s
% Output   : CNFRefutation 1.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:51:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 1.58/0.58  % Refutation found
% 1.58/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.58/0.58  % SZS output start CNFRefutation for theBenchmark
% 1.58/0.58  fof(f1,hypothesis,(
% 1.58/0.58    (![X]: (( ~ algorithm(X)| program(f2(X))| program(c1) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f2,hypothesis,(
% 1.58/0.58    (![X,Y,Z]: (( ~ algorithm(X)| program(f2(X))| ~ program(Y)| decides(c1,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f3,hypothesis,(
% 1.58/0.58    (![X]: (( ~ algorithm(X)| ~ decides(X,f2(X),f1(X))| program(c1) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f4,hypothesis,(
% 1.58/0.58    (![X,Y,Z]: (( ~ algorithm(X)| ~ decides(X,f2(X),f1(X))| ~ program(Y)| decides(c1,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f5,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| program(f4(W))| ~ program(Y)| ~ halts2(Y,Z)| halts3(W,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f6,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| program(f4(W))| ~ program(Y)| ~ halts2(Y,Z)| outputs(W,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f7,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| program(f4(W))| ~ program(Y)| halts2(Y,Z)| halts3(W,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f8,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| program(f4(W))| ~ program(Y)| halts2(Y,Z)| outputs(W,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f9,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| ~ decides(W,f4(W),f3(W))| ~ program(Y)| ~ halts2(Y,Z)| halts3(W,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f10,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| ~ decides(W,f4(W),f3(W))| ~ program(Y)| ~ halts2(Y,Z)| outputs(W,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f11,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| ~ decides(W,f4(W),f3(W))| ~ program(Y)| halts2(Y,Z)| halts3(W,Y,Z) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f12,hypothesis,(
% 1.58/0.58    (![W,Y,Z]: (( ~ program(W)| ~ decides(W,f4(W),f3(W))| ~ program(Y)| halts2(Y,Z)| outputs(W,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f13,hypothesis,(
% 1.58/0.58    (![W]: (( ~ program(W)| program(f5(W))| program(c2) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f14,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| program(f5(W))| ~ program(Y)| ~ halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f15,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| program(f5(W))| ~ program(Y)| ~ halts2(Y,Y)| outputs(c2,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f16,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| program(f5(W))| ~ program(Y)| halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f17,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| program(f5(W))| ~ program(Y)| halts2(Y,Y)| outputs(c2,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f18,hypothesis,(
% 1.58/0.58    (![W]: (( ~ program(W)| halts2(f5(W),f5(W))| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,bad)| program(c2) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f19,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| halts2(f5(W),f5(W))| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,bad)| ~ program(Y)| ~ halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f20,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| halts2(f5(W),f5(W))| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,bad)| ~ program(Y)| ~ halts2(Y,Y)| outputs(c2,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f21,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| halts2(f5(W),f5(W))| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,bad)| ~ program(Y)| halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f22,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| halts2(f5(W),f5(W))| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,bad)| ~ program(Y)| halts2(Y,Y)| outputs(c2,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f23,hypothesis,(
% 1.58/0.58    (![W]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ halts2(f5(W),f5(W))| program(c2) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f24,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ halts2(f5(W),f5(W))| ~ program(Y)| ~ halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f25,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ halts2(f5(W),f5(W))| ~ program(Y)| ~ halts2(Y,Y)| outputs(c2,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f26,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ halts2(f5(W),f5(W))| ~ program(Y)| halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f27,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ halts2(f5(W),f5(W))| ~ program(Y)| halts2(Y,Y)| outputs(c2,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f28,hypothesis,(
% 1.58/0.58    (![W]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ outputs(W,bad)| program(c2) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f29,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ outputs(W,bad)| ~ program(Y)| ~ halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f30,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ outputs(W,bad)| ~ program(Y)| ~ halts2(Y,Y)| outputs(c2,good) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f31,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ outputs(W,bad)| ~ program(Y)| halts2(Y,Y)| halts2(c2,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f32,hypothesis,(
% 1.58/0.58    (![W,Y]: (( ~ program(W)| ~ halts3(W,f5(W),f5(W))| ~ outputs(W,good)| ~ outputs(W,bad)| ~ program(Y)| halts2(Y,Y)| outputs(c2,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f33,hypothesis,(
% 1.58/0.58    (![V]: (( ~ program(V)| program(f6(V))| program(c3) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f34,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| program(f6(V))| ~ program(Y)| ~ halts2(Y,Y)| ~ halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f35,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| program(f6(V))| ~ program(Y)| halts2(Y,Y)| halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f36,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| program(f6(V))| ~ program(Y)| halts2(Y,Y)| outputs(c3,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f40,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| halts2(f6(V),f6(V))| ~ halts2(V,f6(V))| ~ outputs(V,bad)| ~ program(Y)| halts2(Y,Y)| outputs(c3,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f41,hypothesis,(
% 1.58/0.58    (![V]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ halts2(f6(V),f6(V))| program(c3) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f42,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ halts2(f6(V),f6(V))| ~ program(Y)| ~ halts2(Y,Y)| ~ halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f43,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ halts2(f6(V),f6(V))| ~ program(Y)| halts2(Y,Y)| halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f44,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ halts2(f6(V),f6(V))| ~ program(Y)| halts2(Y,Y)| outputs(c3,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f45,hypothesis,(
% 1.58/0.58    (![V]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ outputs(V,bad)| program(c3) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f46,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ outputs(V,bad)| ~ program(Y)| ~ halts2(Y,Y)| ~ halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f47,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ outputs(V,bad)| ~ program(Y)| halts2(Y,Y)| halts2(c3,Y) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f48,hypothesis,(
% 1.58/0.58    (![V,Y]: (( ~ program(V)| ~ halts2(V,f6(V))| ~ outputs(V,good)| ~ outputs(V,bad)| ~ program(Y)| halts2(Y,Y)| outputs(c3,bad) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f49,negated_conjecture,(
% 1.58/0.58    algorithm(c4) ),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f50,negated_conjecture,(
% 1.58/0.58    (![Y1,Z1]: (( ~ program(Y1)| decides(c4,Y1,Z1) ) ))),
% 1.58/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.58  fof(f51,plain,(
% 1.58/0.58    (![X]: (~algorithm(X)|program(f2(X))))|program(c1)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f1])).
% 1.58/0.58  fof(f52,plain,(
% 1.58/0.58    ![X0]: (~algorithm(X0)|program(f2(X0))|program(c1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f51])).
% 1.58/0.58  fof(f53,plain,(
% 1.58/0.58    ![Y]: (((![X]: (~algorithm(X)|program(f2(X))))|~program(Y))|(![Z]: decides(c1,Y,Z)))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f2])).
% 1.58/0.58  fof(f54,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~algorithm(X0)|program(f2(X0))|~program(X1)|decides(c1,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f53])).
% 1.58/0.58  fof(f55,plain,(
% 1.58/0.58    (![X]: (~algorithm(X)|~decides(X,f2(X),f1(X))))|program(c1)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f3])).
% 1.58/0.58  fof(f56,plain,(
% 1.58/0.58    ![X0]: (~algorithm(X0)|~decides(X0,f2(X0),f1(X0))|program(c1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f55])).
% 1.58/0.58  fof(f57,plain,(
% 1.58/0.58    ![Y]: (((![X]: (~algorithm(X)|~decides(X,f2(X),f1(X))))|~program(Y))|(![Z]: decides(c1,Y,Z)))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f4])).
% 1.58/0.58  fof(f58,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~algorithm(X0)|~decides(X0,f2(X0),f1(X0))|~program(X1)|decides(c1,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f57])).
% 1.58/0.58  fof(f59,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|program(f4(X0))|~program(X1)|~halts2(X1,X2)|halts3(X0,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f5])).
% 1.58/0.58  fof(f60,plain,(
% 1.58/0.58    ![W]: ((![Y]: (((~program(W)|program(f4(W)))|~program(Y))|(![Z]: ~halts2(Y,Z))))|outputs(W,good))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f6])).
% 1.58/0.58  fof(f61,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|program(f4(X0))|~program(X1)|~halts2(X1,X2)|outputs(X0,good))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f60])).
% 1.58/0.58  fof(f62,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|program(f4(X0))|~program(X1)|halts2(X1,X2)|halts3(X0,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f7])).
% 1.58/0.58  fof(f63,plain,(
% 1.58/0.58    ![W]: ((![Y]: (((~program(W)|program(f4(W)))|~program(Y))|(![Z]: halts2(Y,Z))))|outputs(W,bad))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f8])).
% 1.58/0.58  fof(f64,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|program(f4(X0))|~program(X1)|halts2(X1,X2)|outputs(X0,bad))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f63])).
% 1.58/0.58  fof(f65,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~program(X1)|~halts2(X1,X2)|halts3(X0,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f9])).
% 1.58/0.58  fof(f66,plain,(
% 1.58/0.58    ![W]: ((![Y]: (((~program(W)|~decides(W,f4(W),f3(W)))|~program(Y))|(![Z]: ~halts2(Y,Z))))|outputs(W,good))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f10])).
% 1.58/0.58  fof(f67,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~program(X1)|~halts2(X1,X2)|outputs(X0,good))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f66])).
% 1.58/0.58  fof(f68,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~program(X1)|halts2(X1,X2)|halts3(X0,X1,X2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f11])).
% 1.58/0.58  fof(f69,plain,(
% 1.58/0.58    ![W]: ((![Y]: (((~program(W)|~decides(W,f4(W),f3(W)))|~program(Y))|(![Z]: halts2(Y,Z))))|outputs(W,bad))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f12])).
% 1.58/0.58  fof(f70,plain,(
% 1.58/0.58    ![X0,X1,X2]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~program(X1)|halts2(X1,X2)|outputs(X0,bad))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f69])).
% 1.58/0.58  fof(f71,plain,(
% 1.58/0.58    (![W]: (~program(W)|program(f5(W))))|program(c2)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f13])).
% 1.58/0.58  fof(f72,plain,(
% 1.58/0.58    ![X0]: (~program(X0)|program(f5(X0))|program(c2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f71])).
% 1.58/0.58  fof(f73,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (~program(W)|program(f5(W))))|~program(Y))|~halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f14])).
% 1.58/0.58  fof(f74,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|program(f5(X0))|~program(X1)|~halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f73])).
% 1.58/0.58  fof(f75,plain,(
% 1.58/0.58    (![Y]: (((![W]: (~program(W)|program(f5(W))))|~program(Y))|~halts2(Y,Y)))|outputs(c2,good)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f15])).
% 1.58/0.58  fof(f76,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|program(f5(X0))|~program(X1)|~halts2(X1,X1)|outputs(c2,good))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f75])).
% 1.58/0.58  fof(f77,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (~program(W)|program(f5(W))))|~program(Y))|halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f16])).
% 1.58/0.58  fof(f78,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|program(f5(X0))|~program(X1)|halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f77])).
% 1.58/0.58  fof(f79,plain,(
% 1.58/0.58    (![Y]: (((![W]: (~program(W)|program(f5(W))))|~program(Y))|halts2(Y,Y)))|outputs(c2,bad)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f17])).
% 1.58/0.58  fof(f80,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|program(f5(X0))|~program(X1)|halts2(X1,X1)|outputs(c2,bad))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f79])).
% 1.58/0.58  fof(f81,plain,(
% 1.58/0.58    (![W]: (((~program(W)|halts2(f5(W),f5(W)))|~halts3(W,f5(W),f5(W)))|~outputs(W,bad)))|program(c2)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f18])).
% 1.58/0.58  fof(f82,plain,(
% 1.58/0.58    ![X0]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|program(c2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f81])).
% 1.58/0.58  fof(f83,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (((~program(W)|halts2(f5(W),f5(W)))|~halts3(W,f5(W),f5(W)))|~outputs(W,bad)))|~program(Y))|~halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f19])).
% 1.58/0.58  fof(f84,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|~program(X1)|~halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f83])).
% 1.58/0.58  fof(f85,plain,(
% 1.58/0.58    (![Y]: (((![W]: (((~program(W)|halts2(f5(W),f5(W)))|~halts3(W,f5(W),f5(W)))|~outputs(W,bad)))|~program(Y))|~halts2(Y,Y)))|outputs(c2,good)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f20])).
% 1.58/0.58  fof(f86,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|~program(X1)|~halts2(X1,X1)|outputs(c2,good))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f85])).
% 1.58/0.58  fof(f87,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (((~program(W)|halts2(f5(W),f5(W)))|~halts3(W,f5(W),f5(W)))|~outputs(W,bad)))|~program(Y))|halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f21])).
% 1.58/0.58  fof(f88,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f87])).
% 1.58/0.58  fof(f89,plain,(
% 1.58/0.58    (![Y]: (((![W]: (((~program(W)|halts2(f5(W),f5(W)))|~halts3(W,f5(W),f5(W)))|~outputs(W,bad)))|~program(Y))|halts2(Y,Y)))|outputs(c2,bad)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f22])).
% 1.58/0.58  fof(f90,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|outputs(c2,bad))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f89])).
% 1.58/0.58  fof(f91,plain,(
% 1.58/0.58    (![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~halts2(f5(W),f5(W))))|program(c2)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f23])).
% 1.58/0.58  fof(f92,plain,(
% 1.58/0.58    ![X0]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|program(c2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f91])).
% 1.58/0.58  fof(f93,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~halts2(f5(W),f5(W))))|~program(Y))|~halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f24])).
% 1.58/0.58  fof(f94,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|~program(X1)|~halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f93])).
% 1.58/0.58  fof(f95,plain,(
% 1.58/0.58    (![Y]: (((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~halts2(f5(W),f5(W))))|~program(Y))|~halts2(Y,Y)))|outputs(c2,good)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f25])).
% 1.58/0.58  fof(f96,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|~program(X1)|~halts2(X1,X1)|outputs(c2,good))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f95])).
% 1.58/0.58  fof(f97,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~halts2(f5(W),f5(W))))|~program(Y))|halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f26])).
% 1.58/0.58  fof(f98,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|~program(X1)|halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f97])).
% 1.58/0.58  fof(f99,plain,(
% 1.58/0.58    (![Y]: (((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~halts2(f5(W),f5(W))))|~program(Y))|halts2(Y,Y)))|outputs(c2,bad)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f27])).
% 1.58/0.58  fof(f100,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|~program(X1)|halts2(X1,X1)|outputs(c2,bad))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f99])).
% 1.58/0.58  fof(f101,plain,(
% 1.58/0.58    (![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~outputs(W,bad)))|program(c2)),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f28])).
% 1.58/0.58  fof(f102,plain,(
% 1.58/0.58    ![X0]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|program(c2))),
% 1.58/0.58    inference(cnf_transformation,[status(esa)],[f101])).
% 1.58/0.58  fof(f103,plain,(
% 1.58/0.58    ![Y]: ((((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~outputs(W,bad)))|~program(Y))|~halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.58    inference(miniscoping,[status(esa)],[f29])).
% 1.58/0.58  fof(f104,plain,(
% 1.58/0.58    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|~halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f103])).
% 1.58/0.59  fof(f105,plain,(
% 1.58/0.59    (![Y]: (((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~outputs(W,bad)))|~program(Y))|~halts2(Y,Y)))|outputs(c2,good)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f30])).
% 1.58/0.59  fof(f106,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|~halts2(X1,X1)|outputs(c2,good))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f105])).
% 1.58/0.59  fof(f107,plain,(
% 1.58/0.59    ![Y]: ((((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~outputs(W,bad)))|~program(Y))|halts2(Y,Y))|halts2(c2,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f31])).
% 1.58/0.59  fof(f108,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|halts2(c2,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f107])).
% 1.58/0.59  fof(f109,plain,(
% 1.58/0.59    (![Y]: (((![W]: (((~program(W)|~halts3(W,f5(W),f5(W)))|~outputs(W,good))|~outputs(W,bad)))|~program(Y))|halts2(Y,Y)))|outputs(c2,bad)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f32])).
% 1.58/0.59  fof(f110,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|outputs(c2,bad))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f109])).
% 1.58/0.59  fof(f111,plain,(
% 1.58/0.59    (![V]: (~program(V)|program(f6(V))))|program(c3)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f33])).
% 1.58/0.59  fof(f112,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f6(X0))|program(c3))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f111])).
% 1.58/0.59  fof(f113,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (~program(V)|program(f6(V))))|~program(Y))|~halts2(Y,Y))|~halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f34])).
% 1.58/0.59  fof(f114,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|program(f6(X0))|~program(X1)|~halts2(X1,X1)|~halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f113])).
% 1.58/0.59  fof(f115,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (~program(V)|program(f6(V))))|~program(Y))|halts2(Y,Y))|halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f35])).
% 1.58/0.59  fof(f116,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|program(f6(X0))|~program(X1)|halts2(X1,X1)|halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f115])).
% 1.58/0.59  fof(f117,plain,(
% 1.58/0.59    (![Y]: (((![V]: (~program(V)|program(f6(V))))|~program(Y))|halts2(Y,Y)))|outputs(c3,bad)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f36])).
% 1.58/0.59  fof(f118,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|program(f6(X0))|~program(X1)|halts2(X1,X1)|outputs(c3,bad))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f117])).
% 1.58/0.59  fof(f125,plain,(
% 1.58/0.59    (![Y]: (((![V]: (((~program(V)|halts2(f6(V),f6(V)))|~halts2(V,f6(V)))|~outputs(V,bad)))|~program(Y))|halts2(Y,Y)))|outputs(c3,bad)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f40])).
% 1.58/0.59  fof(f126,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|halts2(f6(X0),f6(X0))|~halts2(X0,f6(X0))|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|outputs(c3,bad))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f125])).
% 1.58/0.59  fof(f127,plain,(
% 1.58/0.59    (![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~halts2(f6(V),f6(V))))|program(c3)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f41])).
% 1.58/0.59  fof(f128,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|program(c3))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f127])).
% 1.58/0.59  fof(f129,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~halts2(f6(V),f6(V))))|~program(Y))|~halts2(Y,Y))|~halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f42])).
% 1.58/0.59  fof(f130,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|~program(X1)|~halts2(X1,X1)|~halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f129])).
% 1.58/0.59  fof(f131,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~halts2(f6(V),f6(V))))|~program(Y))|halts2(Y,Y))|halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f43])).
% 1.58/0.59  fof(f132,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|~program(X1)|halts2(X1,X1)|halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f131])).
% 1.58/0.59  fof(f133,plain,(
% 1.58/0.59    (![Y]: (((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~halts2(f6(V),f6(V))))|~program(Y))|halts2(Y,Y)))|outputs(c3,bad)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f44])).
% 1.58/0.59  fof(f134,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|~program(X1)|halts2(X1,X1)|outputs(c3,bad))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f133])).
% 1.58/0.59  fof(f135,plain,(
% 1.58/0.59    (![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~outputs(V,bad)))|program(c3)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f45])).
% 1.58/0.59  fof(f136,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)|program(c3))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f135])).
% 1.58/0.59  fof(f137,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~outputs(V,bad)))|~program(Y))|~halts2(Y,Y))|~halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f46])).
% 1.58/0.59  fof(f138,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|~halts2(X1,X1)|~halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f137])).
% 1.58/0.59  fof(f139,plain,(
% 1.58/0.59    ![Y]: ((((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~outputs(V,bad)))|~program(Y))|halts2(Y,Y))|halts2(c3,Y))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f47])).
% 1.58/0.59  fof(f140,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|halts2(c3,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f139])).
% 1.58/0.59  fof(f141,plain,(
% 1.58/0.59    (![Y]: (((![V]: (((~program(V)|~halts2(V,f6(V)))|~outputs(V,good))|~outputs(V,bad)))|~program(Y))|halts2(Y,Y)))|outputs(c3,bad)),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f48])).
% 1.58/0.59  fof(f142,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)|~program(X1)|halts2(X1,X1)|outputs(c3,bad))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f141])).
% 1.58/0.59  fof(f143,plain,(
% 1.58/0.59    algorithm(c4)),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f49])).
% 1.58/0.59  fof(f144,plain,(
% 1.58/0.59    ![Y1]: (~program(Y1)|(![Z1]: decides(c4,Y1,Z1)))),
% 1.58/0.59    inference(miniscoping,[status(esa)],[f50])).
% 1.58/0.59  fof(f145,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|decides(c4,X0,X1))),
% 1.58/0.59    inference(cnf_transformation,[status(esa)],[f144])).
% 1.58/0.59  fof(f146,plain,(
% 1.58/0.59    spl0_0 <=> ~algorithm(X0)|program(f2(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f147,plain,(
% 1.58/0.59    ![X0]: (~algorithm(X0)|program(f2(X0))|~spl0_0)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f146])).
% 1.58/0.59  fof(f149,plain,(
% 1.58/0.59    spl0_1 <=> program(c1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f150,plain,(
% 1.58/0.59    program(c1)|~spl0_1),
% 1.58/0.59    inference(component_clause,[status(thm)],[f149])).
% 1.58/0.59  fof(f152,plain,(
% 1.58/0.59    spl0_0|spl0_1),
% 1.58/0.59    inference(split_clause,[status(thm)],[f52,f146,f149])).
% 1.58/0.59  fof(f153,plain,(
% 1.58/0.59    spl0_2 <=> ~program(X1)|decides(c1,X1,X2)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f154,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|decides(c1,X0,X1)|~spl0_2)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f153])).
% 1.58/0.59  fof(f156,plain,(
% 1.58/0.59    spl0_0|spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f54,f146,f153])).
% 1.58/0.59  fof(f157,plain,(
% 1.58/0.59    spl0_3 <=> ~algorithm(X0)|~decides(X0,f2(X0),f1(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f158,plain,(
% 1.58/0.59    ![X0]: (~algorithm(X0)|~decides(X0,f2(X0),f1(X0))|~spl0_3)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f157])).
% 1.58/0.59  fof(f160,plain,(
% 1.58/0.59    spl0_3|spl0_1),
% 1.58/0.59    inference(split_clause,[status(thm)],[f56,f157,f149])).
% 1.58/0.59  fof(f161,plain,(
% 1.58/0.59    spl0_3|spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f58,f157,f153])).
% 1.58/0.59  fof(f162,plain,(
% 1.58/0.59    spl0_4 <=> ~program(X0)|program(f4(X0))|outputs(X0,good)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f163,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|outputs(X0,good)|~spl0_4)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f162])).
% 1.58/0.59  fof(f165,plain,(
% 1.58/0.59    spl0_5 <=> ~program(X1)|~halts2(X1,X2)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f166,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|~halts2(X0,X1)|~spl0_5)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f165])).
% 1.58/0.59  fof(f168,plain,(
% 1.58/0.59    spl0_4|spl0_5),
% 1.58/0.59    inference(split_clause,[status(thm)],[f61,f162,f165])).
% 1.58/0.59  fof(f169,plain,(
% 1.58/0.59    spl0_6 <=> ~program(X0)|program(f4(X0))|outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f170,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|outputs(X0,bad)|~spl0_6)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f169])).
% 1.58/0.59  fof(f172,plain,(
% 1.58/0.59    spl0_7 <=> ~program(X1)|halts2(X1,X2)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f173,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|halts2(X0,X1)|~spl0_7)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f172])).
% 1.58/0.59  fof(f175,plain,(
% 1.58/0.59    spl0_6|spl0_7),
% 1.58/0.59    inference(split_clause,[status(thm)],[f64,f169,f172])).
% 1.58/0.59  fof(f176,plain,(
% 1.58/0.59    spl0_8 <=> ~program(X0)|~decides(X0,f4(X0),f3(X0))|outputs(X0,good)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f177,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|outputs(X0,good)|~spl0_8)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f176])).
% 1.58/0.59  fof(f179,plain,(
% 1.58/0.59    spl0_8|spl0_5),
% 1.58/0.59    inference(split_clause,[status(thm)],[f67,f176,f165])).
% 1.58/0.59  fof(f180,plain,(
% 1.58/0.59    spl0_9 <=> ~program(X0)|~decides(X0,f4(X0),f3(X0))|outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f181,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|outputs(X0,bad)|~spl0_9)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f180])).
% 1.58/0.59  fof(f183,plain,(
% 1.58/0.59    spl0_9|spl0_7),
% 1.58/0.59    inference(split_clause,[status(thm)],[f70,f180,f172])).
% 1.58/0.59  fof(f184,plain,(
% 1.58/0.59    spl0_10 <=> ~program(X0)|program(f5(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f185,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f5(X0))|~spl0_10)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f184])).
% 1.58/0.59  fof(f187,plain,(
% 1.58/0.59    spl0_11 <=> program(c2)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f188,plain,(
% 1.58/0.59    program(c2)|~spl0_11),
% 1.58/0.59    inference(component_clause,[status(thm)],[f187])).
% 1.58/0.59  fof(f190,plain,(
% 1.58/0.59    spl0_10|spl0_11),
% 1.58/0.59    inference(split_clause,[status(thm)],[f72,f184,f187])).
% 1.58/0.59  fof(f191,plain,(
% 1.58/0.59    spl0_12 <=> ~program(X1)|~halts2(X1,X1)|halts2(c2,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f192,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,X0)|halts2(c2,X0)|~spl0_12)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f191])).
% 1.58/0.59  fof(f194,plain,(
% 1.58/0.59    spl0_10|spl0_12),
% 1.58/0.59    inference(split_clause,[status(thm)],[f74,f184,f191])).
% 1.58/0.59  fof(f195,plain,(
% 1.58/0.59    spl0_13 <=> ~program(X1)|~halts2(X1,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f196,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,X0)|~spl0_13)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f195])).
% 1.58/0.59  fof(f198,plain,(
% 1.58/0.59    spl0_14 <=> outputs(c2,good)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f201,plain,(
% 1.58/0.59    spl0_10|spl0_13|spl0_14),
% 1.58/0.59    inference(split_clause,[status(thm)],[f76,f184,f195,f198])).
% 1.58/0.59  fof(f202,plain,(
% 1.58/0.59    spl0_15 <=> ~program(X1)|halts2(X1,X1)|halts2(c2,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f203,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(X0,X0)|halts2(c2,X0)|~spl0_15)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f202])).
% 1.58/0.59  fof(f205,plain,(
% 1.58/0.59    spl0_10|spl0_15),
% 1.58/0.59    inference(split_clause,[status(thm)],[f78,f184,f202])).
% 1.58/0.59  fof(f206,plain,(
% 1.58/0.59    spl0_16 <=> ~program(X1)|halts2(X1,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f207,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(X0,X0)|~spl0_16)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f206])).
% 1.58/0.59  fof(f209,plain,(
% 1.58/0.59    spl0_17 <=> outputs(c2,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f210,plain,(
% 1.58/0.59    outputs(c2,bad)|~spl0_17),
% 1.58/0.59    inference(component_clause,[status(thm)],[f209])).
% 1.58/0.59  fof(f211,plain,(
% 1.58/0.59    ~outputs(c2,bad)|spl0_17),
% 1.58/0.59    inference(component_clause,[status(thm)],[f209])).
% 1.58/0.59  fof(f212,plain,(
% 1.58/0.59    spl0_10|spl0_16|spl0_17),
% 1.58/0.59    inference(split_clause,[status(thm)],[f80,f184,f206,f209])).
% 1.58/0.59  fof(f213,plain,(
% 1.58/0.59    spl0_18 <=> ~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f214,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(f5(X0),f5(X0))|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,bad)|~spl0_18)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f213])).
% 1.58/0.59  fof(f216,plain,(
% 1.58/0.59    spl0_18|spl0_11),
% 1.58/0.59    inference(split_clause,[status(thm)],[f82,f213,f187])).
% 1.58/0.59  fof(f217,plain,(
% 1.58/0.59    spl0_18|spl0_12),
% 1.58/0.59    inference(split_clause,[status(thm)],[f84,f213,f191])).
% 1.58/0.59  fof(f218,plain,(
% 1.58/0.59    spl0_18|spl0_13|spl0_14),
% 1.58/0.59    inference(split_clause,[status(thm)],[f86,f213,f195,f198])).
% 1.58/0.59  fof(f219,plain,(
% 1.58/0.59    spl0_18|spl0_15),
% 1.58/0.59    inference(split_clause,[status(thm)],[f88,f213,f202])).
% 1.58/0.59  fof(f220,plain,(
% 1.58/0.59    spl0_18|spl0_16|spl0_17),
% 1.58/0.59    inference(split_clause,[status(thm)],[f90,f213,f206,f209])).
% 1.58/0.59  fof(f221,plain,(
% 1.58/0.59    spl0_19 <=> ~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f222,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~halts2(f5(X0),f5(X0))|~spl0_19)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f221])).
% 1.58/0.59  fof(f224,plain,(
% 1.58/0.59    spl0_19|spl0_11),
% 1.58/0.59    inference(split_clause,[status(thm)],[f92,f221,f187])).
% 1.58/0.59  fof(f225,plain,(
% 1.58/0.59    spl0_19|spl0_12),
% 1.58/0.59    inference(split_clause,[status(thm)],[f94,f221,f191])).
% 1.58/0.59  fof(f226,plain,(
% 1.58/0.59    spl0_19|spl0_13|spl0_14),
% 1.58/0.59    inference(split_clause,[status(thm)],[f96,f221,f195,f198])).
% 1.58/0.59  fof(f227,plain,(
% 1.58/0.59    spl0_19|spl0_15),
% 1.58/0.59    inference(split_clause,[status(thm)],[f98,f221,f202])).
% 1.58/0.59  fof(f228,plain,(
% 1.58/0.59    spl0_19|spl0_16|spl0_17),
% 1.58/0.59    inference(split_clause,[status(thm)],[f100,f221,f206,f209])).
% 1.58/0.59  fof(f229,plain,(
% 1.58/0.59    spl0_20 <=> ~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f230,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts3(X0,f5(X0),f5(X0))|~outputs(X0,good)|~outputs(X0,bad)|~spl0_20)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f229])).
% 1.58/0.59  fof(f232,plain,(
% 1.58/0.59    spl0_20|spl0_11),
% 1.58/0.59    inference(split_clause,[status(thm)],[f102,f229,f187])).
% 1.58/0.59  fof(f233,plain,(
% 1.58/0.59    spl0_20|spl0_12),
% 1.58/0.59    inference(split_clause,[status(thm)],[f104,f229,f191])).
% 1.58/0.59  fof(f234,plain,(
% 1.58/0.59    spl0_20|spl0_13|spl0_14),
% 1.58/0.59    inference(split_clause,[status(thm)],[f106,f229,f195,f198])).
% 1.58/0.59  fof(f235,plain,(
% 1.58/0.59    spl0_20|spl0_15),
% 1.58/0.59    inference(split_clause,[status(thm)],[f108,f229,f202])).
% 1.58/0.59  fof(f236,plain,(
% 1.58/0.59    spl0_20|spl0_16|spl0_17),
% 1.58/0.59    inference(split_clause,[status(thm)],[f110,f229,f206,f209])).
% 1.58/0.59  fof(f237,plain,(
% 1.58/0.59    spl0_21 <=> ~program(X0)|program(f6(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f238,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f6(X0))|~spl0_21)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f237])).
% 1.58/0.59  fof(f240,plain,(
% 1.58/0.59    spl0_22 <=> program(c3)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f241,plain,(
% 1.58/0.59    program(c3)|~spl0_22),
% 1.58/0.59    inference(component_clause,[status(thm)],[f240])).
% 1.58/0.59  fof(f243,plain,(
% 1.58/0.59    spl0_21|spl0_22),
% 1.58/0.59    inference(split_clause,[status(thm)],[f112,f237,f240])).
% 1.58/0.59  fof(f244,plain,(
% 1.58/0.59    spl0_23 <=> ~program(X1)|~halts2(X1,X1)|~halts2(c3,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f245,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,X0)|~halts2(c3,X0)|~spl0_23)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f244])).
% 1.58/0.59  fof(f247,plain,(
% 1.58/0.59    spl0_21|spl0_23),
% 1.58/0.59    inference(split_clause,[status(thm)],[f114,f237,f244])).
% 1.58/0.59  fof(f248,plain,(
% 1.58/0.59    spl0_24 <=> ~program(X1)|halts2(X1,X1)|halts2(c3,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f249,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(X0,X0)|halts2(c3,X0)|~spl0_24)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f248])).
% 1.58/0.59  fof(f251,plain,(
% 1.58/0.59    spl0_21|spl0_24),
% 1.58/0.59    inference(split_clause,[status(thm)],[f116,f237,f248])).
% 1.58/0.59  fof(f252,plain,(
% 1.58/0.59    spl0_25 <=> outputs(c3,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f253,plain,(
% 1.58/0.59    outputs(c3,bad)|~spl0_25),
% 1.58/0.59    inference(component_clause,[status(thm)],[f252])).
% 1.58/0.59  fof(f254,plain,(
% 1.58/0.59    ~outputs(c3,bad)|spl0_25),
% 1.58/0.59    inference(component_clause,[status(thm)],[f252])).
% 1.58/0.59  fof(f255,plain,(
% 1.58/0.59    spl0_21|spl0_16|spl0_25),
% 1.58/0.59    inference(split_clause,[status(thm)],[f118,f237,f206,f252])).
% 1.58/0.59  fof(f256,plain,(
% 1.58/0.59    spl0_26 <=> ~program(X0)|halts2(f6(X0),f6(X0))|~halts2(X0,f6(X0))|~outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f262,plain,(
% 1.58/0.59    spl0_26|spl0_16|spl0_25),
% 1.58/0.59    inference(split_clause,[status(thm)],[f126,f256,f206,f252])).
% 1.58/0.59  fof(f263,plain,(
% 1.58/0.59    spl0_27 <=> ~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f264,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|~spl0_27)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f263])).
% 1.58/0.59  fof(f266,plain,(
% 1.58/0.59    spl0_27|spl0_22),
% 1.58/0.59    inference(split_clause,[status(thm)],[f128,f263,f240])).
% 1.58/0.59  fof(f267,plain,(
% 1.58/0.59    spl0_27|spl0_23),
% 1.58/0.59    inference(split_clause,[status(thm)],[f130,f263,f244])).
% 1.58/0.59  fof(f268,plain,(
% 1.58/0.59    spl0_27|spl0_24),
% 1.58/0.59    inference(split_clause,[status(thm)],[f132,f263,f248])).
% 1.58/0.59  fof(f269,plain,(
% 1.58/0.59    spl0_27|spl0_16|spl0_25),
% 1.58/0.59    inference(split_clause,[status(thm)],[f134,f263,f206,f252])).
% 1.58/0.59  fof(f270,plain,(
% 1.58/0.59    spl0_28 <=> ~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f271,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(X0,f6(X0))|~outputs(X0,good)|~outputs(X0,bad)|~spl0_28)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f270])).
% 1.58/0.59  fof(f273,plain,(
% 1.58/0.59    spl0_28|spl0_22),
% 1.58/0.59    inference(split_clause,[status(thm)],[f136,f270,f240])).
% 1.58/0.59  fof(f274,plain,(
% 1.58/0.59    spl0_28|spl0_23),
% 1.58/0.59    inference(split_clause,[status(thm)],[f138,f270,f244])).
% 1.58/0.59  fof(f275,plain,(
% 1.58/0.59    spl0_28|spl0_24),
% 1.58/0.59    inference(split_clause,[status(thm)],[f140,f270,f248])).
% 1.58/0.59  fof(f276,plain,(
% 1.58/0.59    spl0_28|spl0_16|spl0_25),
% 1.58/0.59    inference(split_clause,[status(thm)],[f142,f270,f206,f252])).
% 1.58/0.59  fof(f277,plain,(
% 1.58/0.59    ![X0,X1,X2]: (~program(X0)|program(f4(X0))|~program(X1)|halts3(X0,X1,X2))),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f62,f59])).
% 1.58/0.59  fof(f278,plain,(
% 1.58/0.59    ![X0,X1,X2]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~program(X1)|halts3(X0,X1,X2))),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f68,f65])).
% 1.58/0.59  fof(f279,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~spl0_7|~spl0_5)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f166,f173])).
% 1.58/0.59  fof(f280,plain,(
% 1.58/0.59    ![X0]: (~algorithm(X0)|~spl0_7|~spl0_5|~spl0_0)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f147,f279])).
% 1.58/0.59  fof(f281,plain,(
% 1.58/0.59    $false|~spl0_7|~spl0_5|~spl0_0),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f143,f280])).
% 1.58/0.59  fof(f282,plain,(
% 1.58/0.59    ~spl0_7|~spl0_5|~spl0_0),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f281])).
% 1.58/0.59  fof(f283,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~halts2(c3,X0)|~spl0_16|~spl0_23)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f245,f207])).
% 1.58/0.59  fof(f284,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~spl0_16|~spl0_13)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f196,f207])).
% 1.58/0.59  fof(f285,plain,(
% 1.58/0.59    $false|~spl0_16|~spl0_13|~spl0_11),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f188,f284])).
% 1.58/0.59  fof(f286,plain,(
% 1.58/0.59    ~spl0_16|~spl0_13|~spl0_11),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f285])).
% 1.58/0.59  fof(f287,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(c2,X0)|~spl0_16|~spl0_12)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f192,f207])).
% 1.58/0.59  fof(f288,plain,(
% 1.58/0.59    program(f2(c4))|~spl0_0),
% 1.58/0.59    inference(resolution,[status(thm)],[f147,f143])).
% 1.58/0.59  fof(f292,plain,(
% 1.58/0.59    ![X0]: (decides(c4,f2(c4),X0)|~spl0_0)),
% 1.58/0.59    inference(resolution,[status(thm)],[f288,f145])).
% 1.58/0.59  fof(f541,plain,(
% 1.58/0.59    ~algorithm(c4)|~spl0_3|~spl0_0),
% 1.58/0.59    inference(resolution,[status(thm)],[f158,f292])).
% 1.58/0.59  fof(f542,plain,(
% 1.58/0.59    $false|~spl0_3|~spl0_0),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f541,f143])).
% 1.58/0.59  fof(f543,plain,(
% 1.58/0.59    ~spl0_3|~spl0_0),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f542])).
% 1.58/0.59  fof(f546,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,good)|~halts2(f6(X0),f6(X0))|~spl0_7|~spl0_27)),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f264,f173])).
% 1.58/0.59  fof(f551,plain,(
% 1.58/0.59    program(f5(c1))|~spl0_1|~spl0_10),
% 1.58/0.59    inference(resolution,[status(thm)],[f150,f185])).
% 1.58/0.59  fof(f554,plain,(
% 1.58/0.59    ![X0]: (halts2(c3,X0)|~spl0_22|~spl0_7)),
% 1.58/0.59    inference(resolution,[status(thm)],[f241,f173])).
% 1.58/0.59  fof(f555,plain,(
% 1.58/0.59    program(f5(c3))|~spl0_22|~spl0_10),
% 1.58/0.59    inference(resolution,[status(thm)],[f241,f185])).
% 1.58/0.59  fof(f558,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~spl0_22|~spl0_7|~spl0_16|~spl0_23)),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f283,f554])).
% 1.58/0.59  fof(f559,plain,(
% 1.58/0.59    $false|~spl0_7|~spl0_16|~spl0_23|~spl0_22),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f241,f558])).
% 1.58/0.59  fof(f560,plain,(
% 1.58/0.59    ~spl0_7|~spl0_16|~spl0_23|~spl0_22),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f559])).
% 1.58/0.59  fof(f561,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~spl0_5|~spl0_16)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f207,f166])).
% 1.58/0.59  fof(f564,plain,(
% 1.58/0.59    $false|~spl0_5|~spl0_16|~spl0_1),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f150,f561])).
% 1.58/0.59  fof(f565,plain,(
% 1.58/0.59    ~spl0_5|~spl0_16|~spl0_1),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f564])).
% 1.58/0.59  fof(f569,plain,(
% 1.58/0.59    halts2(c1,c1)|~spl0_1|~spl0_16),
% 1.58/0.59    inference(resolution,[status(thm)],[f150,f207])).
% 1.58/0.59  fof(f686,plain,(
% 1.58/0.59    spl0_29 <=> outputs(c1,bad)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f687,plain,(
% 1.58/0.59    outputs(c1,bad)|~spl0_29),
% 1.58/0.59    inference(component_clause,[status(thm)],[f686])).
% 1.58/0.59  fof(f688,plain,(
% 1.58/0.59    ~outputs(c1,bad)|spl0_29),
% 1.58/0.59    inference(component_clause,[status(thm)],[f686])).
% 1.58/0.59  fof(f689,plain,(
% 1.58/0.59    spl0_30 <=> program(f4(c1))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f691,plain,(
% 1.58/0.59    ~program(f4(c1))|spl0_30),
% 1.58/0.59    inference(component_clause,[status(thm)],[f689])).
% 1.58/0.59  fof(f692,plain,(
% 1.58/0.59    ~program(c1)|outputs(c1,bad)|~program(f4(c1))|~spl0_9|~spl0_2),
% 1.58/0.59    inference(resolution,[status(thm)],[f181,f154])).
% 1.58/0.59  fof(f693,plain,(
% 1.58/0.59    ~spl0_1|spl0_29|~spl0_30|~spl0_9|~spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f692,f149,f686,f689,f180,f153])).
% 1.58/0.59  fof(f694,plain,(
% 1.58/0.59    spl0_31 <=> outputs(c1,good)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f696,plain,(
% 1.58/0.59    ~outputs(c1,good)|spl0_31),
% 1.58/0.59    inference(component_clause,[status(thm)],[f694])).
% 1.58/0.59  fof(f697,plain,(
% 1.58/0.59    ~program(c1)|outputs(c1,good)|~program(f4(c1))|~spl0_8|~spl0_2),
% 1.58/0.59    inference(resolution,[status(thm)],[f177,f154])).
% 1.58/0.59  fof(f698,plain,(
% 1.58/0.59    ~spl0_1|spl0_31|~spl0_30|~spl0_8|~spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f697,f149,f694,f689,f176,f153])).
% 1.58/0.59  fof(f699,plain,(
% 1.58/0.59    spl0_32 <=> ~program(X0)|halts3(c1,X0,X1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f700,plain,(
% 1.58/0.59    ![X0,X1]: (~program(X0)|halts3(c1,X0,X1)|~spl0_32)),
% 1.58/0.59    inference(component_clause,[status(thm)],[f699])).
% 1.58/0.59  fof(f702,plain,(
% 1.58/0.59    ![X0,X1]: (~program(c1)|~program(X0)|halts3(c1,X0,X1)|~program(f4(c1))|~spl0_2)),
% 1.58/0.59    inference(resolution,[status(thm)],[f278,f154])).
% 1.58/0.59  fof(f703,plain,(
% 1.58/0.59    ~spl0_1|spl0_32|~spl0_30|~spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f702,f149,f699,f689,f153])).
% 1.58/0.59  fof(f707,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|~program(f5(X0))|~program(X0)|halts2(f5(X0),f5(X0))|~outputs(X0,bad)|~spl0_18)),
% 1.58/0.59    inference(resolution,[status(thm)],[f277,f214])).
% 1.58/0.59  fof(f708,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,good)|~outputs(X0,bad)|~program(X0)|program(f4(X0))|~program(f5(X0))|~spl0_20)),
% 1.58/0.59    inference(resolution,[status(thm)],[f230,f277])).
% 1.58/0.59  fof(f709,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,good)|~outputs(X0,bad)|program(f4(X0))|~program(f5(X0))|~spl0_20)),
% 1.58/0.59    inference(duplicate_literals_removal,[status(esa)],[f708])).
% 1.58/0.59  fof(f710,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,bad)|program(f4(X0))|~program(f5(X0))|~spl0_4|~spl0_20)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f709,f163])).
% 1.58/0.59  fof(f711,plain,(
% 1.58/0.59    spl0_33 <=> program(f6(c2))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f712,plain,(
% 1.58/0.59    program(f6(c2))|~spl0_33),
% 1.58/0.59    inference(component_clause,[status(thm)],[f711])).
% 1.58/0.59  fof(f713,plain,(
% 1.58/0.59    ~program(f6(c2))|spl0_33),
% 1.58/0.59    inference(component_clause,[status(thm)],[f711])).
% 1.58/0.59  fof(f716,plain,(
% 1.58/0.59    spl0_34 <=> halts2(f6(c2),f6(c2))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f718,plain,(
% 1.58/0.59    ~halts2(f6(c2),f6(c2))|spl0_34),
% 1.58/0.59    inference(component_clause,[status(thm)],[f716])).
% 1.58/0.59  fof(f719,plain,(
% 1.58/0.59    ~program(c2)|~outputs(c2,good)|~halts2(f6(c2),f6(c2))|~program(f6(c2))|~spl0_27|~spl0_16|~spl0_12),
% 1.58/0.59    inference(resolution,[status(thm)],[f264,f287])).
% 1.58/0.59  fof(f720,plain,(
% 1.58/0.59    ~spl0_11|~spl0_14|~spl0_34|~spl0_33|~spl0_27|~spl0_16|~spl0_12),
% 1.58/0.59    inference(split_clause,[status(thm)],[f719,f187,f198,f716,f711,f263,f206,f191])).
% 1.58/0.59  fof(f721,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(c2,X0)|~spl0_13|~spl0_15)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f203,f196])).
% 1.58/0.59  fof(f727,plain,(
% 1.58/0.59    ~program(c2)|~program(c2)|~spl0_15|~spl0_13),
% 1.58/0.59    inference(resolution,[status(thm)],[f721,f196])).
% 1.58/0.59  fof(f728,plain,(
% 1.58/0.59    ~spl0_11|~spl0_15|~spl0_13),
% 1.58/0.59    inference(split_clause,[status(thm)],[f727,f187,f202,f195])).
% 1.58/0.59  fof(f750,plain,(
% 1.58/0.59    spl0_35 <=> program(f5(c1))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f752,plain,(
% 1.58/0.59    ~program(f5(c1))|spl0_35),
% 1.58/0.59    inference(component_clause,[status(thm)],[f750])).
% 1.58/0.59  fof(f753,plain,(
% 1.58/0.59    ~program(f5(c1))|~program(c1)|~outputs(c1,good)|~outputs(c1,bad)|~spl0_32|~spl0_20),
% 1.58/0.59    inference(resolution,[status(thm)],[f700,f230])).
% 1.58/0.59  fof(f754,plain,(
% 1.58/0.59    ~spl0_35|~spl0_1|~spl0_31|~spl0_29|~spl0_32|~spl0_20),
% 1.58/0.59    inference(split_clause,[status(thm)],[f753,f750,f149,f694,f686,f699,f229])).
% 1.58/0.59  fof(f755,plain,(
% 1.58/0.59    spl0_36 <=> halts2(f5(c1),f5(c1))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f756,plain,(
% 1.58/0.59    halts2(f5(c1),f5(c1))|~spl0_36),
% 1.58/0.59    inference(component_clause,[status(thm)],[f755])).
% 1.58/0.59  fof(f757,plain,(
% 1.58/0.59    ~halts2(f5(c1),f5(c1))|spl0_36),
% 1.58/0.59    inference(component_clause,[status(thm)],[f755])).
% 1.58/0.59  fof(f758,plain,(
% 1.58/0.59    ~program(f5(c1))|~program(c1)|~outputs(c1,good)|~halts2(f5(c1),f5(c1))|~spl0_32|~spl0_19),
% 1.58/0.59    inference(resolution,[status(thm)],[f700,f222])).
% 1.58/0.59  fof(f759,plain,(
% 1.58/0.59    ~spl0_35|~spl0_1|~spl0_31|~spl0_36|~spl0_32|~spl0_19),
% 1.58/0.59    inference(split_clause,[status(thm)],[f758,f750,f149,f694,f755,f699,f221])).
% 1.58/0.59  fof(f760,plain,(
% 1.58/0.59    ~program(f5(c1))|~program(c1)|halts2(f5(c1),f5(c1))|~outputs(c1,bad)|~spl0_32|~spl0_18),
% 1.58/0.59    inference(resolution,[status(thm)],[f700,f214])).
% 1.58/0.59  fof(f761,plain,(
% 1.58/0.59    ~spl0_35|~spl0_1|spl0_36|~spl0_29|~spl0_32|~spl0_18),
% 1.58/0.59    inference(split_clause,[status(thm)],[f760,f750,f149,f755,f686,f699,f213])).
% 1.58/0.59  fof(f762,plain,(
% 1.58/0.59    $false|~spl0_1|~spl0_10|spl0_35),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f752,f551])).
% 1.58/0.59  fof(f763,plain,(
% 1.58/0.59    ~spl0_1|~spl0_10|spl0_35),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f762])).
% 1.58/0.59  fof(f764,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|halts2(c2,X0)|~spl0_12|~spl0_15)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f203,f192])).
% 1.58/0.59  fof(f766,plain,(
% 1.58/0.59    program(f6(c2))|~spl0_11|~spl0_21),
% 1.58/0.59    inference(resolution,[status(thm)],[f188,f238])).
% 1.58/0.59  fof(f767,plain,(
% 1.58/0.59    $false|spl0_33|~spl0_11|~spl0_21),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f766,f713])).
% 1.58/0.59  fof(f768,plain,(
% 1.58/0.59    spl0_33|~spl0_11|~spl0_21),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f767])).
% 1.58/0.59  fof(f769,plain,(
% 1.58/0.59    ~program(c1)|program(f4(c1))|spl0_29|~spl0_6),
% 1.58/0.59    inference(resolution,[status(thm)],[f688,f170])).
% 1.58/0.59  fof(f770,plain,(
% 1.58/0.59    ~spl0_1|spl0_30|spl0_29|~spl0_6),
% 1.58/0.59    inference(split_clause,[status(thm)],[f769,f149,f689,f686,f169])).
% 1.58/0.59  fof(f782,plain,(
% 1.58/0.59    spl0_39 <=> halts2(c3,f6(c2))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f785,plain,(
% 1.58/0.59    halts2(f6(c2),f6(c2))|halts2(c3,f6(c2))|~spl0_24|~spl0_33),
% 1.58/0.59    inference(resolution,[status(thm)],[f249,f712])).
% 1.58/0.59  fof(f786,plain,(
% 1.58/0.59    spl0_34|spl0_39|~spl0_24|~spl0_33),
% 1.58/0.59    inference(split_clause,[status(thm)],[f785,f716,f782,f248,f711])).
% 1.58/0.59  fof(f800,plain,(
% 1.58/0.59    spl0_43 <=> halts2(c3,c3)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f801,plain,(
% 1.58/0.59    halts2(c3,c3)|~spl0_43),
% 1.58/0.59    inference(component_clause,[status(thm)],[f800])).
% 1.58/0.59  fof(f803,plain,(
% 1.58/0.59    halts2(c3,c3)|halts2(c3,c3)|~spl0_24|~spl0_22),
% 1.58/0.59    inference(resolution,[status(thm)],[f249,f241])).
% 1.58/0.59  fof(f804,plain,(
% 1.58/0.59    spl0_43|~spl0_24|~spl0_22),
% 1.58/0.59    inference(split_clause,[status(thm)],[f803,f800,f248,f240])).
% 1.58/0.59  fof(f805,plain,(
% 1.58/0.59    spl0_44 <=> halts2(c1,c1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f808,plain,(
% 1.58/0.59    spl0_45 <=> halts2(c3,c1)),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f809,plain,(
% 1.58/0.59    halts2(c3,c1)|~spl0_45),
% 1.58/0.59    inference(component_clause,[status(thm)],[f808])).
% 1.58/0.59  fof(f811,plain,(
% 1.58/0.59    halts2(c1,c1)|halts2(c3,c1)|~spl0_24|~spl0_1),
% 1.58/0.59    inference(resolution,[status(thm)],[f249,f150])).
% 1.58/0.59  fof(f812,plain,(
% 1.58/0.59    spl0_44|spl0_45|~spl0_24|~spl0_1),
% 1.58/0.59    inference(split_clause,[status(thm)],[f811,f805,f808,f248,f149])).
% 1.58/0.59  fof(f813,plain,(
% 1.58/0.59    ~program(c3)|~halts2(c3,c3)|~spl0_43|~spl0_23),
% 1.58/0.59    inference(resolution,[status(thm)],[f801,f245])).
% 1.58/0.59  fof(f814,plain,(
% 1.58/0.59    ~spl0_22|~spl0_43|~spl0_23),
% 1.58/0.59    inference(split_clause,[status(thm)],[f813,f240,f800,f244])).
% 1.58/0.59  fof(f817,plain,(
% 1.58/0.59    ~program(c1)|~halts2(c1,c1)|~spl0_45|~spl0_23),
% 1.58/0.59    inference(resolution,[status(thm)],[f809,f245])).
% 1.58/0.59  fof(f818,plain,(
% 1.58/0.59    ~spl0_1|~spl0_44|~spl0_45|~spl0_23),
% 1.58/0.59    inference(split_clause,[status(thm)],[f817,f149,f805,f808,f244])).
% 1.58/0.59  fof(f823,plain,(
% 1.58/0.59    ~program(c2)|~outputs(c2,good)|~outputs(c2,bad)|~program(f6(c2))|~spl0_28|~spl0_12|~spl0_15),
% 1.58/0.59    inference(resolution,[status(thm)],[f271,f764])).
% 1.58/0.59  fof(f824,plain,(
% 1.58/0.59    ~spl0_11|~spl0_14|~spl0_17|~spl0_33|~spl0_28|~spl0_12|~spl0_15),
% 1.58/0.59    inference(split_clause,[status(thm)],[f823,f187,f198,f209,f711,f270,f191,f202])).
% 1.58/0.59  fof(f826,plain,(
% 1.58/0.59    spl0_46 <=> program(f4(c2))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f829,plain,(
% 1.58/0.59    ~program(c2)|program(f4(c2))|spl0_17|~spl0_6),
% 1.58/0.59    inference(resolution,[status(thm)],[f211,f170])).
% 1.58/0.59  fof(f830,plain,(
% 1.58/0.59    ~spl0_11|spl0_46|spl0_17|~spl0_6),
% 1.58/0.59    inference(split_clause,[status(thm)],[f829,f187,f826,f209,f169])).
% 1.58/0.59  fof(f834,plain,(
% 1.58/0.59    spl0_47 <=> halts2(f5(c3),f5(c3))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f835,plain,(
% 1.58/0.59    halts2(f5(c3),f5(c3))|~spl0_47),
% 1.58/0.59    inference(component_clause,[status(thm)],[f834])).
% 1.58/0.59  fof(f837,plain,(
% 1.58/0.59    spl0_48 <=> halts3(c3,f5(c3),f5(c3))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f839,plain,(
% 1.58/0.59    ~halts3(c3,f5(c3),f5(c3))|spl0_48),
% 1.58/0.59    inference(component_clause,[status(thm)],[f837])).
% 1.58/0.59  fof(f840,plain,(
% 1.58/0.59    ~program(c3)|halts2(f5(c3),f5(c3))|~halts3(c3,f5(c3),f5(c3))|~spl0_18|~spl0_25),
% 1.58/0.59    inference(resolution,[status(thm)],[f214,f253])).
% 1.58/0.59  fof(f841,plain,(
% 1.58/0.59    ~spl0_22|spl0_47|~spl0_48|~spl0_18|~spl0_25),
% 1.58/0.59    inference(split_clause,[status(thm)],[f840,f240,f834,f837,f213,f252])).
% 1.58/0.59  fof(f848,plain,(
% 1.58/0.59    ~program(f6(c2))|spl0_34|~spl0_7),
% 1.58/0.59    inference(resolution,[status(thm)],[f718,f173])).
% 1.58/0.59  fof(f849,plain,(
% 1.58/0.59    ~spl0_33|spl0_34|~spl0_7),
% 1.58/0.59    inference(split_clause,[status(thm)],[f848,f711,f716,f172])).
% 1.58/0.59  fof(f850,plain,(
% 1.58/0.59    spl0_44|~spl0_1|~spl0_16),
% 1.58/0.59    inference(split_clause,[status(thm)],[f569,f805,f149,f206])).
% 1.58/0.59  fof(f852,plain,(
% 1.58/0.59    ~program(f6(c2))|~spl0_16|spl0_34),
% 1.58/0.59    inference(resolution,[status(thm)],[f207,f718])).
% 1.58/0.59  fof(f853,plain,(
% 1.58/0.59    ~spl0_33|~spl0_16|spl0_34),
% 1.58/0.59    inference(split_clause,[status(thm)],[f852,f711,f206,f716])).
% 1.58/0.59  fof(f855,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|~program(f5(X0))|~spl0_6|~spl0_4|~spl0_20)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f710,f170])).
% 1.58/0.59  fof(f857,plain,(
% 1.58/0.59    ~program(c1)|program(f4(c1))|spl0_31|~spl0_4),
% 1.58/0.59    inference(resolution,[status(thm)],[f696,f163])).
% 1.58/0.59  fof(f858,plain,(
% 1.58/0.59    ~spl0_1|spl0_30|spl0_31|~spl0_4),
% 1.58/0.59    inference(split_clause,[status(thm)],[f857,f149,f689,f694,f162])).
% 1.58/0.59  fof(f872,plain,(
% 1.58/0.59    ~program(f5(c1))|spl0_36|~spl0_7),
% 1.58/0.59    inference(resolution,[status(thm)],[f757,f173])).
% 1.58/0.59  fof(f873,plain,(
% 1.58/0.59    ~spl0_35|spl0_36|~spl0_7),
% 1.58/0.59    inference(split_clause,[status(thm)],[f872,f750,f755,f172])).
% 1.58/0.59  fof(f876,plain,(
% 1.58/0.59    spl0_49 <=> program(f4(c3))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f879,plain,(
% 1.58/0.59    spl0_50 <=> program(f5(c3))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f881,plain,(
% 1.58/0.59    ~program(f5(c3))|spl0_50),
% 1.58/0.59    inference(component_clause,[status(thm)],[f879])).
% 1.58/0.59  fof(f882,plain,(
% 1.58/0.59    ~program(c3)|program(f4(c3))|~program(f5(c3))|spl0_48),
% 1.58/0.59    inference(resolution,[status(thm)],[f839,f277])).
% 1.58/0.59  fof(f883,plain,(
% 1.58/0.59    ~spl0_22|spl0_49|~spl0_50|spl0_48),
% 1.58/0.59    inference(split_clause,[status(thm)],[f882,f240,f876,f879,f837])).
% 1.58/0.59  fof(f886,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,good)|~program(f6(X0))|~spl0_27|~spl0_7)),
% 1.58/0.59    inference(resolution,[status(thm)],[f546,f173])).
% 1.58/0.59  fof(f887,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~outputs(X0,good)|~spl0_21|~spl0_27|~spl0_7)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f886,f238])).
% 1.58/0.59  fof(f888,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|~decides(X0,f4(X0),f3(X0))|~spl0_21|~spl0_27|~spl0_7|~spl0_8)),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f177,f887])).
% 1.58/0.59  fof(f889,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|~spl0_21|~spl0_27|~spl0_7|~spl0_4)),
% 1.58/0.59    inference(backward_subsumption_resolution,[status(thm)],[f163,f887])).
% 1.58/0.59  fof(f890,plain,(
% 1.58/0.59    ~program(c1)|~program(f4(c1))|~spl0_21|~spl0_27|~spl0_7|~spl0_8|~spl0_2),
% 1.58/0.59    inference(resolution,[status(thm)],[f888,f154])).
% 1.58/0.59  fof(f891,plain,(
% 1.58/0.59    ~spl0_1|~spl0_30|~spl0_21|~spl0_27|~spl0_7|~spl0_8|~spl0_2),
% 1.58/0.59    inference(split_clause,[status(thm)],[f890,f149,f689,f237,f263,f172,f176,f153])).
% 1.58/0.59  fof(f892,plain,(
% 1.58/0.59    ~program(c1)|~spl0_21|~spl0_27|~spl0_7|~spl0_4|spl0_30),
% 1.58/0.59    inference(resolution,[status(thm)],[f889,f691])).
% 1.58/0.59  fof(f893,plain,(
% 1.58/0.59    $false|~spl0_1|~spl0_21|~spl0_27|~spl0_7|~spl0_4|spl0_30),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f892,f150])).
% 1.58/0.59  fof(f894,plain,(
% 1.58/0.59    ~spl0_1|~spl0_21|~spl0_27|~spl0_7|~spl0_4|spl0_30),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f893])).
% 1.58/0.59  fof(f895,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|~spl0_10|~spl0_6|~spl0_4|~spl0_20)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f855,f185])).
% 1.58/0.59  fof(f900,plain,(
% 1.58/0.59    ~program(c1)|~spl0_10|~spl0_6|~spl0_4|~spl0_20|spl0_30),
% 1.58/0.59    inference(resolution,[status(thm)],[f895,f691])).
% 1.58/0.59  fof(f901,plain,(
% 1.58/0.59    $false|~spl0_1|~spl0_10|~spl0_6|~spl0_4|~spl0_20|spl0_30),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f900,f150])).
% 1.58/0.59  fof(f902,plain,(
% 1.58/0.59    ~spl0_1|~spl0_10|~spl0_6|~spl0_4|~spl0_20|spl0_30),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f901])).
% 1.58/0.59  fof(f903,plain,(
% 1.58/0.59    ~program(c3)|spl0_50|~spl0_10),
% 1.58/0.59    inference(resolution,[status(thm)],[f881,f185])).
% 1.58/0.59  fof(f904,plain,(
% 1.58/0.59    ~spl0_22|spl0_50|~spl0_10),
% 1.58/0.59    inference(split_clause,[status(thm)],[f903,f240,f879,f184])).
% 1.58/0.59  fof(f907,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|~program(f5(X0))|halts2(f5(X0),f5(X0))|~outputs(X0,bad)|~spl0_18)),
% 1.58/0.59    inference(duplicate_literals_removal,[status(esa)],[f707])).
% 1.58/0.59  fof(f908,plain,(
% 1.58/0.59    ![X0]: (~program(X0)|program(f4(X0))|halts2(f5(X0),f5(X0))|~outputs(X0,bad)|~spl0_10|~spl0_18)),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f907,f185])).
% 1.58/0.59  fof(f910,plain,(
% 1.58/0.59    ~program(f5(c1))|~spl0_5|~spl0_36),
% 1.58/0.59    inference(resolution,[status(thm)],[f166,f756])).
% 1.58/0.59  fof(f911,plain,(
% 1.58/0.59    ~spl0_35|~spl0_5|~spl0_36),
% 1.58/0.59    inference(split_clause,[status(thm)],[f910,f750,f165,f755])).
% 1.58/0.59  fof(f912,plain,(
% 1.58/0.59    ~program(f5(c3))|~spl0_5|~spl0_47),
% 1.58/0.59    inference(resolution,[status(thm)],[f166,f835])).
% 1.58/0.59  fof(f914,plain,(
% 1.58/0.59    spl0_51 <=> halts3(c2,f5(c2),f5(c2))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f917,plain,(
% 1.58/0.59    ~program(c2)|~halts3(c2,f5(c2),f5(c2))|~outputs(c2,good)|~spl0_17|~spl0_20),
% 1.58/0.59    inference(resolution,[status(thm)],[f210,f230])).
% 1.58/0.59  fof(f918,plain,(
% 1.58/0.59    ~spl0_11|~spl0_51|~spl0_14|~spl0_17|~spl0_20),
% 1.58/0.59    inference(split_clause,[status(thm)],[f917,f187,f914,f198,f209,f229])).
% 1.58/0.59  fof(f924,plain,(
% 1.58/0.59    $false|~spl0_5|~spl0_47|~spl0_22|~spl0_10),
% 1.58/0.59    inference(forward_subsumption_resolution,[status(thm)],[f555,f912])).
% 1.58/0.59  fof(f925,plain,(
% 1.58/0.59    ~spl0_5|~spl0_47|~spl0_22|~spl0_10),
% 1.58/0.59    inference(contradiction_clause,[status(thm)],[f924])).
% 1.58/0.59  fof(f934,plain,(
% 1.58/0.59    spl0_53 <=> halts3(c1,f5(c1),f5(c1))),
% 1.58/0.59    introduced(split_symbol_definition)).
% 1.58/0.59  fof(f937,plain,(
% 1.58/0.59    ~program(c1)|~halts3(c1,f5(c1),f5(c1))|~outputs(c1,good)|~spl0_29|~spl0_20),
% 1.58/0.59    inference(resolution,[status(thm)],[f687,f230])).
% 1.58/0.59  fof(f938,plain,(
% 1.58/0.59    ~spl0_1|~spl0_53|~spl0_31|~spl0_29|~spl0_20),
% 1.58/0.59    inference(split_clause,[status(thm)],[f937,f149,f934,f694,f686,f229])).
% 1.58/0.59  fof(f939,plain,(
% 1.58/0.59    ~program(c1)|halts2(f5(c1),f5(c1))|~halts3(c1,f5(c1),f5(c1))|~spl0_29|~spl0_18),
% 1.58/0.59    inference(resolution,[status(thm)],[f687,f214])).
% 1.58/0.59  fof(f940,plain,(
% 1.58/0.59    ~spl0_1|spl0_36|~spl0_53|~spl0_29|~spl0_18),
% 1.58/0.59    inference(split_clause,[status(thm)],[f939,f149,f755,f934,f686,f213])).
% 1.58/0.59  fof(f942,plain,(
% 1.58/0.59    ~program(c3)|program(f4(c3))|spl0_25|~spl0_6),
% 1.58/0.59    inference(resolution,[status(thm)],[f254,f170])).
% 1.58/0.59  fof(f943,plain,(
% 1.58/0.59    ~spl0_22|spl0_49|spl0_25|~spl0_6),
% 1.58/0.59    inference(split_clause,[status(thm)],[f942,f240,f876,f252,f169])).
% 1.58/0.59  fof(f956,plain,(
% 1.58/0.59    ~program(c1)|program(f4(c1))|~outputs(c1,bad)|~spl0_10|~spl0_18|spl0_36),
% 1.58/0.59    inference(resolution,[status(thm)],[f908,f757])).
% 1.58/0.59  fof(f957,plain,(
% 1.58/0.59    ~spl0_1|spl0_30|~spl0_29|~spl0_10|~spl0_18|spl0_36),
% 1.58/0.59    inference(split_clause,[status(thm)],[f956,f149,f689,f686,f184,f213,f755])).
% 1.58/0.59  fof(f960,plain,(
% 1.58/0.59    $false),
% 1.58/0.59    inference(sat_refutation,[status(thm)],[f152,f156,f160,f161,f168,f175,f179,f183,f190,f194,f201,f205,f212,f216,f217,f218,f219,f220,f224,f225,f226,f227,f228,f232,f233,f234,f235,f236,f243,f247,f251,f255,f262,f266,f267,f268,f269,f273,f274,f275,f276,f282,f286,f543,f560,f565,f693,f698,f703,f720,f728,f754,f759,f761,f763,f768,f770,f786,f804,f812,f814,f818,f824,f830,f841,f849,f850,f853,f858,f873,f883,f891,f894,f902,f904,f911,f918,f925,f938,f940,f943,f957])).
% 1.58/0.59  % SZS output end CNFRefutation for theBenchmark.p
% 1.58/0.60  % Elapsed time: 0.253585 seconds
% 1.58/0.60  % CPU time: 1.876650 seconds
% 1.58/0.60  % Memory used: 26.660 MB
%------------------------------------------------------------------------------