%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM003-1 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:10:14 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.49s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 78
% Syntax : Number of formulae : 332 ( 4 unt; 41 def)
% Number of atoms : 1405 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 2019 ( 946 ~;1032 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 48 ( 47 usr; 42 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 316 ( 316 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
! [X] :
( program(c1)
| program(f2(X))
| ~ algorithm(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [X,Y,Z] :
( decides(c1,Y,Z)
| ~ program(Y)
| program(f2(X))
| ~ algorithm(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X] :
( program(c1)
| ~ decides(X,f2(X),f1(X))
| ~ algorithm(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y,Z] :
( decides(c1,Y,Z)
| ~ program(Y)
| ~ decides(X,f2(X),f1(X))
| ~ algorithm(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [W,Y,Z] :
( halts3(W,Y,Z)
| ~ halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [W,Y,Z] :
( outputs(W,good)
| ~ halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [W,Y,Z] :
( halts3(W,Y,Z)
| halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
! [W,Y,Z] :
( outputs(W,bad)
| halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [W,Y,Z] :
( halts3(W,Y,Z)
| ~ halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [W,Y,Z] :
( outputs(W,good)
| ~ halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [W,Y,Z] :
( halts3(W,Y,Z)
| halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [W,Y,Z] :
( outputs(W,bad)
| halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [W] :
( program(c2)
| program(f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [W,Y] :
( halts2(c2,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| program(f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [W,Y] :
( outputs(c2,good)
| ~ halts2(Y,Y)
| ~ program(Y)
| program(f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
! [W,Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| program(f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [W,Y] :
( outputs(c2,bad)
| halts2(Y,Y)
| ~ program(Y)
| program(f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [W] :
( program(c2)
| ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [W,Y] :
( outputs(c2,good)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
! [W,Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
! [W] :
( program(c2)
| ~ halts2(f5(W),f5(W))
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
! [W,Y] :
( outputs(c2,good)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ halts2(f5(W),f5(W))
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
! [W] :
( program(c2)
| ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
! [W,Y] :
( halts2(c2,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
! [W,Y] :
( outputs(c2,good)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
! [W,Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
! [W,Y] :
( outputs(c2,bad)
| halts2(Y,Y)
| ~ program(Y)
| ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
! [V] :
( program(c3)
| program(f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
! [V,Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| program(f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,hypothesis,
! [V,Y] :
( halts2(c3,Y)
| halts2(Y,Y)
| ~ program(Y)
| program(f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
! [V] :
( program(c3)
| ~ halts2(f6(V),f6(V))
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
! [V,Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ halts2(f6(V),f6(V))
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
! [V] :
( program(c3)
| ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
! [V,Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
! [V,Y] :
( halts2(c3,Y)
| halts2(Y,Y)
| ~ program(Y)
| ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
algorithm(c4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [Y1,Z1] :
( decides(c4,Y1,Z1)
| ~ program(Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,plain,
( program(c1)
| ! [X] :
( program(f2(X))
| ~ algorithm(X) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f52,plain,
! [X0] :
( program(c1)
| program(f2(X0))
| ~ algorithm(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [Y] :
( ! [Z] : decides(c1,Y,Z)
| ~ program(Y)
| ! [X] :
( program(f2(X))
| ~ algorithm(X) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f54,plain,
! [X0,X1,X2] :
( decides(c1,X1,X2)
| ~ program(X1)
| program(f2(X0))
| ~ algorithm(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
( program(c1)
| ! [X] :
( ~ decides(X,f2(X),f1(X))
| ~ algorithm(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f56,plain,
! [X0] :
( program(c1)
| ~ decides(X0,f2(X0),f1(X0))
| ~ algorithm(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [Y] :
( ! [Z] : decides(c1,Y,Z)
| ~ program(Y)
| ! [X] :
( ~ decides(X,f2(X),f1(X))
| ~ algorithm(X) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1,X2] :
( decides(c1,X1,X2)
| ~ program(X1)
| ~ decides(X0,f2(X0),f1(X0))
| ~ algorithm(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| ~ halts2(X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
! [W] :
( outputs(W,good)
| ! [Y] :
( ! [Z] : ~ halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f61,plain,
! [X0,X1,X2] :
( outputs(X0,good)
| ~ halts2(X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| halts2(X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f63,plain,
! [W] :
( outputs(W,bad)
| ! [Y] :
( ! [Z] : halts2(Y,Z)
| ~ program(Y)
| program(f4(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f64,plain,
! [X0,X1,X2] :
( outputs(X0,bad)
| halts2(X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| ~ halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f66,plain,
! [W] :
( outputs(W,good)
| ! [Y] :
( ! [Z] : ~ halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f67,plain,
! [X0,X1,X2] :
( outputs(X0,good)
| ~ halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f69,plain,
! [W] :
( outputs(W,bad)
| ! [Y] :
( ! [Z] : halts2(Y,Z)
| ~ program(Y)
| ~ decides(W,f4(W),f3(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f70,plain,
! [X0,X1,X2] :
( outputs(X0,bad)
| halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
( program(c2)
| ! [W] :
( program(f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f72,plain,
! [X0] :
( program(c2)
| program(f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [Y] :
( halts2(c2,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( program(f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f74,plain,
! [X0,X1] :
( halts2(c2,X1)
| ~ halts2(X1,X1)
| ~ program(X1)
| program(f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
( outputs(c2,good)
| ! [Y] :
( ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( program(f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f76,plain,
! [X0,X1] :
( outputs(c2,good)
| ~ halts2(X1,X1)
| ~ program(X1)
| program(f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( program(f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f78,plain,
! [X0,X1] :
( halts2(c2,X1)
| halts2(X1,X1)
| ~ program(X1)
| program(f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
( outputs(c2,bad)
| ! [Y] :
( halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( program(f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f80,plain,
! [X0,X1] :
( outputs(c2,bad)
| halts2(X1,X1)
| ~ program(X1)
| program(f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
( program(c2)
| ! [W] :
( ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f82,plain,
! [X0] :
( program(c2)
| ~ outputs(X0,bad)
| ~ halts3(X0,f5(X0),f5(X0))
| halts2(f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
( outputs(c2,good)
| ! [Y] :
( ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f86,plain,
! [X0,X1] :
( outputs(c2,good)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ halts3(X0,f5(X0),f5(X0))
| halts2(f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ halts3(W,f5(W),f5(W))
| halts2(f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f88,plain,
! [X0,X1] :
( halts2(c2,X1)
| halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ halts3(X0,f5(X0),f5(X0))
| halts2(f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
( program(c2)
| ! [W] :
( ~ halts2(f5(W),f5(W))
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f92,plain,
! [X0] :
( program(c2)
| ~ halts2(f5(X0),f5(X0))
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f95,plain,
( outputs(c2,good)
| ! [Y] :
( ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ halts2(f5(W),f5(W))
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f96,plain,
! [X0,X1] :
( outputs(c2,good)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ halts2(f5(X0),f5(X0))
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f101,plain,
( program(c2)
| ! [W] :
( ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f102,plain,
! [X0] :
( program(c2)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [Y] :
( halts2(c2,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f104,plain,
! [X0,X1] :
( halts2(c2,X1)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
( outputs(c2,good)
| ! [Y] :
( ~ halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f106,plain,
! [X0,X1] :
( outputs(c2,good)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [Y] :
( halts2(c2,Y)
| halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f108,plain,
! [X0,X1] :
( halts2(c2,X1)
| halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
( outputs(c2,bad)
| ! [Y] :
( halts2(Y,Y)
| ~ program(Y)
| ! [W] :
( ~ outputs(W,bad)
| ~ outputs(W,good)
| ~ halts3(W,f5(W),f5(W))
| ~ program(W) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f110,plain,
! [X0,X1] :
( outputs(c2,bad)
| halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
( program(c3)
| ! [V] :
( program(f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f112,plain,
! [X0] :
( program(c3)
| program(f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ! [V] :
( program(f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f114,plain,
! [X0,X1] :
( ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1)
| program(f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [Y] :
( halts2(c3,Y)
| halts2(Y,Y)
| ~ program(Y)
| ! [V] :
( program(f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f116,plain,
! [X0,X1] :
( halts2(c3,X1)
| halts2(X1,X1)
| ~ program(X1)
| program(f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f127,plain,
( program(c3)
| ! [V] :
( ~ halts2(f6(V),f6(V))
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f128,plain,
! [X0] :
( program(c3)
| ~ halts2(f6(X0),f6(X0))
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ! [V] :
( ~ halts2(f6(V),f6(V))
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f130,plain,
! [X0,X1] :
( ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ halts2(f6(X0),f6(X0))
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f135,plain,
( program(c3)
| ! [V] :
( ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f136,plain,
! [X0] :
( program(c3)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [Y] :
( ~ halts2(c3,Y)
| ~ halts2(Y,Y)
| ~ program(Y)
| ! [V] :
( ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f138,plain,
! [X0,X1] :
( ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [Y] :
( halts2(c3,Y)
| halts2(Y,Y)
| ~ program(Y)
| ! [V] :
( ~ outputs(V,bad)
| ~ outputs(V,good)
| ~ halts2(V,f6(V))
| ~ program(V) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f140,plain,
! [X0,X1] :
( halts2(c3,X1)
| halts2(X1,X1)
| ~ program(X1)
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f143,plain,
algorithm(c4),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f144,plain,
! [Y1] :
( ! [Z1] : decides(c4,Y1,Z1)
| ~ program(Y1) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f145,plain,
! [X0,X1] :
( decides(c4,X0,X1)
| ~ program(X0) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,definition,
! [X0] :
( sQ0_spl
<=> ( program(f2(X0))
| ~ algorithm(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f147,plain,
! [X0] :
( ~ sQ0_spl
| program(f2(X0))
| ~ algorithm(X0) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ1_spl
<=> program(c1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ1_spl
| program(c1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f146,f149]) ).
fof(f153,definition,
! [X1,X2] :
( sQ2_spl
<=> ( decides(c1,X1,X2)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sQ2_spl
| decides(c1,X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f146,f153]) ).
fof(f157,definition,
! [X0] :
( sQ3_spl
<=> ( ~ decides(X0,f2(X0),f1(X0))
| ~ algorithm(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ3_spl
| ~ decides(X0,f2(X0),f1(X0))
| ~ algorithm(X0) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f56,f157,f149]) ).
fof(f161,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f58,f157,f153]) ).
fof(f162,definition,
! [X0] :
( sQ4_spl
<=> ( outputs(X0,good)
| program(f4(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f163,plain,
! [X0] :
( ~ sQ4_spl
| outputs(X0,good)
| program(f4(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
! [X1,X2] :
( sQ5_spl
<=> ( ~ halts2(X1,X2)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f166,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ halts2(X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f61,f162,f165]) ).
fof(f169,definition,
! [X0] :
( sQ6_spl
<=> ( outputs(X0,bad)
| program(f4(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f170,plain,
! [X0] :
( ~ sQ6_spl
| outputs(X0,bad)
| program(f4(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
! [X1,X2] :
( sQ7_spl
<=> ( halts2(X1,X2)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sQ7_spl
| halts2(X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f64,f169,f172]) ).
fof(f176,definition,
! [X0] :
( sQ8_spl
<=> ( outputs(X0,good)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f177,plain,
! [X0] :
( ~ sQ8_spl
| outputs(X0,good)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f67,f176,f165]) ).
fof(f180,definition,
! [X0] :
( sQ9_spl
<=> ( outputs(X0,bad)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f181,plain,
! [X0] :
( ~ sQ9_spl
| outputs(X0,bad)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f70,f180,f172]) ).
fof(f184,definition,
! [X0] :
( sQ10_spl
<=> ( program(f5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f185,plain,
! [X0] :
( ~ sQ10_spl
| program(f5(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ11_spl
<=> program(c2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ11_spl
| program(c2) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f72,f184,f187]) ).
fof(f191,definition,
! [X1] :
( sQ12_spl
<=> ( halts2(c2,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f192,plain,
! [X0] :
( ~ sQ12_spl
| halts2(c2,X0)
| ~ halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ12_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f74,f184,f191]) ).
fof(f195,definition,
! [X1] :
( sQ13_spl
<=> ( ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f196,plain,
! [X0] :
( ~ sQ13_spl
| ~ halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ14_spl
<=> outputs(c2,good) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ14_spl
| ~ outputs(c2,good) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ14_spl
| sQ13_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f76,f184,f195,f198]) ).
fof(f202,definition,
! [X1] :
( sQ15_spl
<=> ( halts2(c2,X1)
| halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ15_spl
| halts2(c2,X0)
| halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ15_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f78,f184,f202]) ).
fof(f206,definition,
! [X1] :
( sQ16_spl
<=> ( halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f207,plain,
! [X0] :
( ~ sQ16_spl
| halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ17_spl
<=> outputs(c2,bad) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ17_spl
| ~ outputs(c2,bad) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ17_spl
| sQ16_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f80,f184,f206,f209]) ).
fof(f213,definition,
! [X0] :
( sQ18_spl
<=> ( ~ outputs(X0,bad)
| ~ halts3(X0,f5(X0),f5(X0))
| halts2(f5(X0),f5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f214,plain,
! [X0] :
( ~ sQ18_spl
| ~ outputs(X0,bad)
| ~ halts3(X0,f5(X0),f5(X0))
| halts2(f5(X0),f5(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ11_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f82,f213,f187]) ).
fof(f218,plain,
( sQ14_spl
| sQ13_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f86,f213,f195,f198]) ).
fof(f219,plain,
( sQ15_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f88,f213,f202]) ).
fof(f221,definition,
! [X0] :
( sQ19_spl
<=> ( ~ halts2(f5(X0),f5(X0))
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f222,plain,
! [X0] :
( ~ sQ19_spl
| ~ halts2(f5(X0),f5(X0))
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( sQ11_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f92,f221,f187]) ).
fof(f226,plain,
( sQ14_spl
| sQ13_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f96,f221,f195,f198]) ).
fof(f229,definition,
! [X0] :
( sQ20_spl
<=> ( ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f230,plain,
! [X0] :
( ~ sQ20_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts3(X0,f5(X0),f5(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ11_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f102,f229,f187]) ).
fof(f233,plain,
( sQ12_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f104,f229,f191]) ).
fof(f234,plain,
( sQ14_spl
| sQ13_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f106,f229,f195,f198]) ).
fof(f235,plain,
( sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f229,f202]) ).
fof(f236,plain,
( sQ17_spl
| sQ16_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f110,f229,f206,f209]) ).
fof(f237,definition,
! [X0] :
( sQ21_spl
<=> ( program(f6(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f238,plain,
! [X0] :
( ~ sQ21_spl
| program(f6(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ22_spl
<=> program(c3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f112,f237,f240]) ).
fof(f244,definition,
! [X1] :
( sQ23_spl
<=> ( ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ23_spl
| ~ halts2(c3,X0)
| ~ halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ23_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f114,f237,f244]) ).
fof(f248,definition,
! [X1] :
( sQ24_spl
<=> ( halts2(c3,X1)
| halts2(X1,X1)
| ~ program(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0] :
( ~ sQ24_spl
| halts2(c3,X0)
| halts2(X0,X0)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ24_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f116,f237,f248]) ).
fof(f263,definition,
! [X0] :
( sQ27_spl
<=> ( ~ halts2(f6(X0),f6(X0))
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f264,plain,
! [X0] :
( ~ sQ27_spl
| ~ halts2(f6(X0),f6(X0))
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ22_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f128,f263,f240]) ).
fof(f267,plain,
( sQ23_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f130,f263,f244]) ).
fof(f270,definition,
! [X0] :
( sQ28_spl
<=> ( ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f271,plain,
! [X0] :
( ~ sQ28_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( sQ22_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f136,f270,f240]) ).
fof(f274,plain,
( sQ23_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f138,f270,f244]) ).
fof(f275,plain,
( sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f140,f270,f248]) ).
fof(f277,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ7_spl
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f173]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sQ2_spl
| halts3(c1,X0,X1)
| ~ halts2(X0,X1)
| ~ program(X0)
| ~ program(c1)
| ~ program(f4(c1)) ),
inference(resolution,[status(thm)],[f154,f65]) ).
fof(f298,definition,
( sQ32_spl
<=> program(f4(c1)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( sQ32_spl
| ~ program(f4(c1)) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
! [X0,X1] :
( sQ33_spl
<=> ( halts3(c1,X0,X1)
| ~ halts2(X0,X1)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f302,plain,
! [X0,X1] :
( ~ sQ33_spl
| halts3(c1,X0,X1)
| ~ halts2(X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( ~ sQ2_spl
| sQ33_spl
| ~ sQ1_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f297,f298,f149,f301,f153]) ).
fof(f305,plain,
( ~ sQ3_spl
| ~ program(f2(c4))
| ~ algorithm(c4) ),
inference(resolution,[status(thm)],[f158,f145]) ).
fof(f306,definition,
( sQ34_spl
<=> algorithm(c4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ34_spl
| ~ algorithm(c4) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ35_spl
<=> program(f2(c4)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ35_spl
| program(f2(c4)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ35_spl
| ~ program(f2(c4)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( ~ sQ3_spl
| ~ sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f305,f306,f309,f157]) ).
fof(f313,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f143]) ).
fof(f314,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( ~ sQ0_spl
| sQ35_spl
| ~ algorithm(c4) ),
inference(resolution,[status(thm)],[f311,f147]) ).
fof(f316,plain,
( ~ sQ0_spl
| sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f315,f306,f309,f146]) ).
fof(f318,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ7_spl
| ~ program(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f196,f173]) ).
fof(f319,plain,
( ~ sQ35_spl
| ~ sQ13_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f310,f318]) ).
fof(f320,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f150,f318]) ).
fof(f323,plain,
( ~ sQ35_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sQ2_spl
| halts3(c1,X0,X1)
| halts2(X0,X1)
| ~ program(X0)
| ~ program(c1)
| ~ program(f4(c1)) ),
inference(resolution,[status(thm)],[f154,f68]) ).
fof(f330,definition,
! [X0,X1] :
( sQ37_spl
<=> ( halts3(c1,X0,X1)
| halts2(X0,X1)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f331,plain,
! [X0,X1] :
( ~ sQ37_spl
| halts3(c1,X0,X1)
| halts2(X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( ~ sQ2_spl
| sQ37_spl
| ~ sQ1_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f329,f298,f149,f330,f153]) ).
fof(f335,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ15_spl
| halts2(c2,X0)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f203]) ).
fof(f336,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ program(f4(c1))
| outputs(c1,bad)
| ~ program(c1) ),
inference(resolution,[status(thm)],[f181,f154]) ).
fof(f338,definition,
( sQ38_spl
<=> outputs(c1,bad) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ38_spl
| ~ outputs(c1,bad) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| ~ sQ32_spl
| sQ38_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f336,f149,f338,f298,f180,f153]) ).
fof(f346,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ28_spl
| ~ program(f6(c2))
| ~ outputs(c2,bad)
| ~ outputs(c2,good)
| ~ program(c2) ),
inference(resolution,[status(thm)],[f271,f335]) ).
fof(f348,definition,
( sQ40_spl
<=> program(f6(c2)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ40_spl
| ~ program(f6(c2)) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ28_spl
| ~ sQ40_spl
| ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f346,f187,f198,f209,f348,f270,f202,f191]) ).
fof(f370,plain,
( ~ sQ21_spl
| sQ40_spl
| ~ program(c2) ),
inference(resolution,[status(thm)],[f350,f238]) ).
fof(f374,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ program(f4(c1))
| outputs(c1,good)
| ~ program(c1) ),
inference(resolution,[status(thm)],[f177,f154]) ).
fof(f376,definition,
( sQ45_spl
<=> outputs(c1,good) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ45_spl
| outputs(c1,good) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ45_spl
| ~ outputs(c1,good) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ32_spl
| sQ45_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f374,f149,f376,f298,f176,f153]) ).
fof(f384,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| halts3(X0,X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f166]) ).
fof(f387,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ program(X0)
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(resolution,[status(thm)],[f384,f230]) ).
fof(f391,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f387]) ).
fof(f392,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f185]) ).
fof(f393,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ outputs(X0,good)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f170]) ).
fof(f394,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ6_spl
| program(f4(c1))
| ~ program(c1) ),
inference(resolution,[status(thm)],[f393,f377]) ).
fof(f396,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sQ32_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f394,f149,f298,f169,f184,f165,f229,f376]) ).
fof(f413,plain,
! [X0] :
( ~ sQ18_spl
| ~ outputs(X0,bad)
| halts2(f5(X0),f5(X0))
| ~ program(X0)
| halts2(f5(X0),f5(X0))
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(resolution,[status(thm)],[f62,f214]) ).
fof(f416,plain,
! [X0] :
( ~ sQ18_spl
| ~ outputs(X0,bad)
| halts2(f5(X0),f5(X0))
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f413]) ).
fof(f417,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ10_spl
| ~ outputs(X0,bad)
| halts2(f5(X0),f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f185]) ).
fof(f420,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| ~ program(X1)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f62]) ).
fof(f423,plain,
! [X0] :
( ~ sQ20_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ program(X0)
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(resolution,[status(thm)],[f420,f230]) ).
fof(f428,plain,
! [X0] :
( ~ sQ20_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f423]) ).
fof(f429,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ outputs(X0,bad)
| ~ outputs(X0,good)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f185]) ).
fof(f430,plain,
! [X0,X1,X2] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ decides(X0,f4(X0),f3(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f65]) ).
fof(f431,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ program(f4(c1))
| halts3(c1,X0,X1)
| ~ program(X0)
| ~ program(c1) ),
inference(resolution,[status(thm)],[f430,f154]) ).
fof(f433,definition,
! [X0,X1] :
( sQ48_spl
<=> ( halts3(c1,X0,X1)
| ~ program(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f434,plain,
! [X0,X1] :
( ~ sQ48_spl
| halts3(c1,X0,X1)
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( ~ sQ2_spl
| ~ sQ32_spl
| sQ48_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f431,f149,f433,f298,f153]) ).
fof(f453,plain,
( ~ sQ4_spl
| sQ14_spl
| program(f4(c2))
| ~ program(c2) ),
inference(resolution,[status(thm)],[f200,f163]) ).
fof(f454,definition,
( sQ52_spl
<=> program(f4(c2)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ4_spl
| sQ14_spl
| sQ52_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f453,f187,f454,f198,f162]) ).
fof(f460,plain,
( ~ sQ18_spl
| ~ sQ48_spl
| ~ outputs(c1,bad)
| halts2(f5(c1),f5(c1))
| ~ program(c1)
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f434,f214]) ).
fof(f461,plain,
( ~ sQ19_spl
| ~ sQ48_spl
| ~ halts2(f5(c1),f5(c1))
| ~ outputs(c1,good)
| ~ program(c1)
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f434,f222]) ).
fof(f462,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| ~ outputs(c1,bad)
| ~ outputs(c1,good)
| ~ program(c1)
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f434,f230]) ).
fof(f463,definition,
( sQ53_spl
<=> program(f5(c1)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ53_spl
| program(f5(c1)) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ53_spl
| ~ program(f5(c1)) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ54_spl
<=> halts2(f5(c1),f5(c1)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ54_spl
| halts2(f5(c1),f5(c1)) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( ~ sQ18_spl
| ~ sQ48_spl
| ~ sQ38_spl
| sQ54_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f460,f463,f149,f466,f338,f433,f213]) ).
fof(f470,plain,
( ~ sQ19_spl
| ~ sQ48_spl
| ~ sQ54_spl
| ~ sQ45_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f461,f463,f149,f376,f466,f433,f221]) ).
fof(f471,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| ~ sQ38_spl
| ~ sQ45_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f462,f463,f149,f376,f338,f433,f229]) ).
fof(f472,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f370]) ).
fof(f473,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f472]) ).
fof(f475,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ outputs(X0,bad)
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f163]) ).
fof(f476,plain,
( ~ sQ10_spl
| sQ53_spl
| ~ program(c1) ),
inference(resolution,[status(thm)],[f465,f185]) ).
fof(f477,plain,
( ~ sQ10_spl
| sQ53_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f150]) ).
fof(f478,plain,
( ~ sQ10_spl
| sQ53_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( ~ sQ4_spl
| sQ45_spl
| program(f4(c1))
| ~ program(c1) ),
inference(resolution,[status(thm)],[f378,f163]) ).
fof(f480,plain,
( ~ sQ4_spl
| sQ45_spl
| sQ32_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f479,f149,f298,f376,f162]) ).
fof(f481,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f485,definition,
! [X0] :
( sQ55_spl
<=> ~ program(X0) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f486,plain,
! [X0] :
( ~ sQ55_spl
| ~ program(X0) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f492,plain,
( ~ sQ11_spl
| ~ sQ55_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f188,f486]) ).
fof(f493,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f464,f486]) ).
fof(f499,definition,
( sQ56_spl
<=> halts2(c3,c3) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ56_spl
| halts2(c3,c3) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ56_spl
| ~ halts2(c3,c3) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f519,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| halts2(c2,X0)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f166]) ).
fof(f520,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| ~ program(c2)
| ~ program(X0) ),
inference(resolution,[status(thm)],[f519,f166]) ).
fof(f521,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| ~ sQ11_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f520,f485,f187,f202,f165]) ).
fof(f529,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| halts2(f5(X0),f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f170]) ).
fof(f530,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ program(f5(X0))
| program(f4(X0))
| ~ program(X0) ),
inference(resolution,[status(thm)],[f529,f166]) ).
fof(f531,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f185]) ).
fof(f532,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ program(c1) ),
inference(resolution,[status(thm)],[f531,f300]) ).
fof(f534,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f150]) ).
fof(f535,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( ~ sQ11_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f543,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f277,f485,f172,f165]) ).
fof(f547,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f555,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| ~ halts2(c3,X0)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f173]) ).
fof(f557,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ23_spl
| ~ program(c3)
| ~ program(X0) ),
inference(resolution,[status(thm)],[f555,f173]) ).
fof(f559,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| ~ sQ22_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f557,f485,f240,f244,f172]) ).
fof(f561,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ16_spl
| ~ halts2(c3,X0)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f207]) ).
fof(f563,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ program(c3)
| ~ program(c3) ),
inference(resolution,[status(thm)],[f561,f207]) ).
fof(f565,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f563,f240,f244,f206]) ).
fof(f566,plain,
( ~ sQ56_spl
| ~ sQ23_spl
| ~ halts2(c3,c3)
| ~ program(c3) ),
inference(resolution,[status(thm)],[f245,f500]) ).
fof(f568,plain,
( ~ sQ23_spl
| ~ sQ56_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f566,f240,f499,f244]) ).
fof(f569,plain,
( ~ sQ24_spl
| sQ56_spl
| halts2(c3,c3)
| ~ program(c3) ),
inference(resolution,[status(thm)],[f501,f249]) ).
fof(f570,plain,
( ~ sQ24_spl
| sQ56_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f569,f240,f499,f248]) ).
fof(f573,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ16_spl
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0)
| ~ program(f6(X0)) ),
inference(resolution,[status(thm)],[f207,f264]) ).
fof(f575,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ7_spl
| ~ halts2(f6(X0),f6(X0))
| ~ outputs(X0,good)
| ~ program(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f264,f173]) ).
fof(f577,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| halts3(c1,X0,X1)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f173]) ).
fof(f578,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| ~ sQ7_spl
| ~ outputs(c1,bad)
| halts2(f5(c1),f5(c1))
| ~ program(c1)
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f577,f214]) ).
fof(f579,plain,
( ~ sQ19_spl
| ~ sQ33_spl
| ~ sQ7_spl
| ~ halts2(f5(c1),f5(c1))
| ~ outputs(c1,good)
| ~ program(c1)
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f577,f222]) ).
fof(f580,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ38_spl
| sQ54_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f578,f463,f149,f466,f338,f172,f301,f213]) ).
fof(f581,plain,
( ~ sQ19_spl
| ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ54_spl
| ~ sQ45_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f579,f463,f149,f376,f466,f172,f301,f221]) ).
fof(f582,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ27_spl
| ~ program(f6(X0))
| ~ outputs(X0,good)
| ~ program(X0) ),
inference(resolution,[status(thm)],[f575,f173]) ).
fof(f583,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ27_spl
| ~ sQ21_spl
| ~ outputs(X0,good)
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f582,f238]) ).
fof(f585,plain,
( ~ sQ45_spl
| ~ sQ7_spl
| ~ sQ27_spl
| ~ sQ21_spl
| ~ program(c1) ),
inference(resolution,[status(thm)],[f583,f377]) ).
fof(f587,plain,
( ~ sQ45_spl
| ~ sQ7_spl
| ~ sQ27_spl
| ~ sQ21_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f150]) ).
fof(f588,plain,
( ~ sQ45_spl
| ~ sQ7_spl
| ~ sQ27_spl
| ~ sQ21_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f592,plain,
( ~ sQ18_spl
| ~ sQ37_spl
| ~ outputs(c1,bad)
| halts2(f5(c1),f5(c1))
| ~ program(c1)
| halts2(f5(c1),f5(c1))
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f331,f214]) ).
fof(f593,plain,
( ~ sQ18_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ1_spl
| sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f592,f463,f466,f149,f338,f330,f213]) ).
fof(f594,plain,
( sQ38_spl
| ~ sQ6_spl
| program(f4(c1))
| ~ program(c1) ),
inference(resolution,[status(thm)],[f170,f340]) ).
fof(f595,plain,
( sQ38_spl
| ~ sQ6_spl
| sQ32_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f594,f149,f298,f169,f338]) ).
fof(f600,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ6_spl
| program(f4(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f475,f170]) ).
fof(f601,plain,
( sQ32_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ program(c1) ),
inference(resolution,[status(thm)],[f600,f300]) ).
fof(f603,plain,
( sQ32_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f150]) ).
fof(f604,plain,
( sQ32_spl
| ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f605,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ16_spl
| ~ sQ21_spl
| ~ outputs(X0,good)
| ~ halts2(X0,f6(X0))
| ~ program(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f238]) ).
fof(f613,plain,
( sQ17_spl
| ~ sQ6_spl
| program(f4(c2))
| ~ program(c2) ),
inference(resolution,[status(thm)],[f170,f211]) ).
fof(f614,plain,
( sQ17_spl
| ~ sQ6_spl
| sQ52_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f613,f187,f454,f169,f209]) ).
fof(f617,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ27_spl
| ~ sQ16_spl
| ~ sQ21_spl
| ~ program(f6(c2))
| ~ outputs(c2,good)
| ~ program(c2) ),
inference(resolution,[status(thm)],[f605,f335]) ).
fof(f618,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ27_spl
| ~ sQ16_spl
| ~ sQ21_spl
| ~ sQ40_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f617,f187,f198,f348,f237,f206,f263,f202,f191]) ).
fof(f628,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ program(c2)
| ~ program(c2) ),
inference(resolution,[status(thm)],[f196,f335]) ).
fof(f630,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f628,f187,f195,f202,f191]) ).
fof(f652,plain,
( ~ sQ5_spl
| ~ sQ54_spl
| ~ program(f5(c1)) ),
inference(resolution,[status(thm)],[f467,f166]) ).
fof(f653,plain,
( ~ sQ5_spl
| ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f652,f463,f466,f165]) ).
fof(f654,plain,
$false,
inference(sat_refutation,[status(thm)],[f152,f156,f160,f161,f168,f175,f179,f183,f190,f194,f201,f205,f212,f216,f218,f219,f224,f226,f232,f233,f234,f235,f236,f243,f247,f251,f266,f267,f273,f274,f275,f304,f312,f314,f316,f323,f333,f341,f351,f379,f396,f436,f457,f469,f470,f471,f473,f478,f480,f481,f521,f535,f536,f543,f547,f559,f565,f568,f570,f580,f581,f588,f593,f595,f604,f614,f618,f630,f653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM003-1 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 14:13:34 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.49 % Refutation found
% 0.07/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.50 % Elapsed time: 0.145998 seconds
% 0.07/0.50 % CPU time: 0.894366 seconds
% 0.07/0.50 % Total memory used: 26.959 MB
% 0.07/0.50 % Net memory used: 26.038 MB
%------------------------------------------------------------------------------